Answers
Answer:
x = 6BC = 10AC = 12Step-by-step explanation:
The length of EA is the difference between AD (6) and ED (5), so is ...
6 - 5 = 1
That is, the distance ED is 5 times the distance EA.
The two triangles are similar, so the distance BC will be 5 times the distance BA:
BC = 5·AB
BC = 5·2 = 10 . . . . . substitute for length AB
x +4 = 10 . . . . . . . . . substitute for length BC
x = 10 -4 = 6 . . . . . . subtract 4
We already know BC = 10. Of course AC = AB + BC = 2+10 = 12.
The lengths of interest are x=6, BC=10, AC=12.
Related Questions
Who drove the fastest 363 miles in 6 hours, 435 miles in 7 hours, 500 miles in 8 hours, or 215 miles in 5 hours.
Answers
Answer:
The 3rd person who drove 500 miles in 8 hours drove the fastest.
Step-by-step explanation:
1st person : 60.5 mph
2nd person : 62.14 mph
3rd person : 62.5 mph
4th person : 43 mph
you simply divide the total miles driven by the amount of time and then you get the miles per hour.
Hope this helps!
Use the Geometric Mean Theorem to find the value of J if
G=3 and F=12
Answers
Answer:
6
Step-by-step explanation:
The Geometric Mean Theorem states that the altitude (in this case, j) is equal to radical(g*f).
Therefore, j=√(g*f), j=√(3*12), j=6
Answer:
[tex]\boxed{6}[/tex]
Step-by-step explanation:
The Geometric Mean Theorem states that the altitude to the hypotenuse of a right triangle is the geometric mean of the two segments it creates.
Thus, in your triangle,
j = √(fg)
If f = 12 and g = 3,
j = √(12 × 3) = √ 36 = 6
[tex]\boxed{j = 6}[/tex]
what is the explicit formula for the geometric sequence with this recursive formula? a1=-7
an=an-1*(1/3)
A. an=- 1/3*7^(n-1)
B. an=1/3*(-7)*^(n-1)
C. an=7*(- 1/3)^(n-1)
D. an=-7*(1/3)^(n-1)
Answers
ANSWER
D. [tex]a_n= - 7( \frac{1}{3} )^{n - 1}[/tex]
EXPLANATION
The given explicit formula is
[tex]a_1= - 7[/tex]
and
[tex]a_n=\frac{1}{3} a_{n-1}[/tex]
This implies that,
[tex]r = \frac{1}{3} [/tex]
The explicit formula is given by:
[tex]a_n=a_{1}( \frac{1}{3} )^{n - 1} [/tex]
We substitute the known values to get;
[tex]a_n= - 7( \frac{1}{3} )^{n - 1}[/tex]
Answer:
D
Step-by-step explanation: A P E X
What is the surface area of the cube below?
A. 150 units^2
B. 75 units^2
C. 300 units^2
D. 50 units^2
Answers
ANSWER
A. 150 units^2
EXPLANATION
The surface area of a cube is calculated using the formula:
[tex]SA=6 {l}^{2} [/tex]
where
[tex]l = 5[/tex]
We substitute the length to obtain:
[tex]SA=6 {l}^{2} [/tex]
[tex]SA=6 \times {5}^{2} [/tex]
[tex]SA=150 \: {units}^{2} [/tex]
Eric practiced the piano and guitar for a total of 8 hours this week he practiced the piano for 1/4 of that time how many hours did he practice piano this week
Answers
Answer: 2
Step-by-step explanation:
If 8 hours are spent the week, and there is only 1/4 used to play piano then you have to know how much 1/4 is of 8.
To get 1/4 of 8 you need to multiply 8 by 1/4.
The answer is 2.
How are possibilities observed in a game of poker?
Answers
Answer:
the number if different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards.
Step-by-step explanation:
this is a valid answer for e2020
Final answer:
In poker, the number of microstates when dealing with five cards from separate decks is 52^5, and the probability of getting 5 queens of hearts is (1/52)^5. The probability of drawing any specific hand is also 1 in 380,204,032. Poker hand values are inversely proportional to their entropy, with rarer hands having greater value.
Explanation:
Calculations Involved in Poker Probabilities
The game of poker involves a combination of skill and luck, with probabilities playing a significant role in the strategy. To answer the student's questions regarding probabilities in poker, we need to delve into some detailed calculations.
Microstates in Poker: A microstate refers to a specific arrangement of cards. When dealing five random cards from five separate decks, we consider each deck to have 52 unique cards. The number of microstates would be 52^5 (or 380,204,032) because for each card drawn there are 52 possibilities, and each draw is independent from the others.Probability of getting 5 queens of hearts: Given that each deck has one queen of hearts, the probability of drawing the queen of hearts from each deck in one try is (1/52)^5, which is 1 in 380,204,032.Probability of a specific hand: Since there are 52 possible cards for each of the five draws, the probability of getting any specific hand of five cards, regardless of suit or rank, is also 1 in 380,204,032.In analyzing poker hands and their respective values, we find that the value of a hand is typically inversely proportional to its entropy, meaning a less likely hand equates to a higher value.
Pascal's Wager as applied to gambling is not directly related to poker probabilities, but it is an interesting philosophical approach to decision-making under uncertainty. Rather than calculating monetary risk, it assesses the existential gamble of believing in a deity.
Understanding probabilities like these allows gamblers, politicians, teachers, doctors, and individuals in many other fields to make more informed decisions about probable outcomes.
Find the solution set.
x^2 – 5x = 0
Answers
Answer:
x=0 and x=5
Step-by-step explanation:
x^2 – 5x = 0
Factor out an x
x(x-5) = 0
Using the zero product property
x=0 and x-5 =0
Solving
x=0 x-5+5 = 0+5
x=0 and x=5
A country’s population in 1992 was 50 million. In 2992 it was 53 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest formula.
Answers
Answer:
P ≈ 56 million
Step-by-step explanation:
Your question is attached in the picture below.
The exponential formula for these cases is
P = Po*e^(kt)
Where,
Po = initial population
k = is a constant used to define the growth rate
t = time transcurred since the time of the initial population
For this exercise,
Po = 50 million
Year 2002
2002 - 1992 = 10
53 million = 50 million *e^(k*10)
(53/50) = e^(k*10)
k*10 = ln(53/50)
k = 0.005827
The equation results
P = 50 million *e^(0.005827*t)
Year 2010
2010-1992 = 18
P = 50 million *e^(0.005827*18)
P = 50 million *(1.11058)
P = 55.53 million
P ≈ 56 million
Answer:
the answer is 56 just got it right
if you need population in 2010
Step-by-step explanation:
What is the area of the rhombus? The figure is not drawn to scale.
Answers
Answer:
126 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ← diagonals
The diagonals of a rhombus are perpendicular bisectors of each other, thus
d₁ = 7 + 7 = 14 and d₂ = 9 + 9 = 18, hence
A = 0.5 × 14 × 18 = 126 cm²
The area of the rhombus is equal to 126 cm². The correct option is B.
What is an area of the rhombus?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rhombus in a two-dimensional plane is called the area of the rhombus.
The area (A) of a rhombus is calculated as
A = × d₁ × d₂ ← diagonals
The diagonals of a rhombus are perpendicular bisectors of each other,
d₁ = 7 + 7 = 14
d₂ = 9 + 9 = 18, hence
The area of the rhombus will be calculated as,
A = 0.5 × d₁ × d₂
A = 0.5 × 14 × 18
A = 126 cm²
Therefore, the area of the rhombus is equal to 126 cm². The correct option is B.
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For 180° < 0 < 360°, which of the primary trigonometric functions may have positive values?
Answers
For angles between 180° and 360°, only cosine (cos) and cosecant (csc) may yield a positive value. This is because these angles fall in the third and fourth quadrants of the unit circle where only certain functions yield positive results.
Explanation:In the trigonometric functions, the sign of the function's result can vary depending on the size of the angle. For angles between 180° and 360°, only cosine (cos) and cosecant (csc), which is the reciprocal of sine, may have positive values.
In mathematics circle, these angles are in the third and fourth quadrants. In the third quadrant (180° ≤ θ < 270°), only the function tangent (tan) and its reciprocal cotangent (cot) can be positive. While in the fourth quadrant (270° ≤ θ < 360°), the functions cosine (cos) and its reciprocal secant (sec) can be positive.
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if you were to build a house, one with two-dimensional figures and the other with three-dimensional figures, which one will have a better chance of withstanding a hurricane and why
Answers
Answer:
both
Step-by-step explanation:
Depending on how u look at it, one is comprised of 2d figures and the other is of 3d, but the 2d shapes combine to make the faces of any 3d shape, so its basically the same.
To the nearest hundredth, what is the value of x?
Answers
Answer:
1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:
sin53° = x/45 => x = sin53° · 45 ≈35.94
2. We already have one out of two legs of the triangle and one acute angle so we know that:
tan27° = 48/x => x = 48/tan27° ≈ 94.21
The value of x in the first right angle triangle is 27.08.
The value of x in the second right angle triangle is 24.46.
What is the value of x?In order to determine the value of x in the first triangle, cos would be used.
Cos 53 = opposite / hypotenuse
Cos 53 = x / 45
0.7071 = x /45
x = 45 x 0.6018
x = 27.08
In order to determine the value of x in the second triangle, tan would be used.
Tan 27 = opposite / adjacent
Tan 27 = x / 48
x = 0.5095 x 48
x = 24.46
What is the surface area of the rectangular prism below?
A. 700 units^2
B. 1260 units^2
C. 823 units^2
D. 740 units^2
Answers
Answer:
The surface area of the rectangular prism is 700 units² ⇒ answer A
Step-by-step explanation:
* Lets revise how to find the surface are of the rectangular prism
- The rectangular prism has 6 rectangular faces
- Each two opposite faces are equal
- It has 4 side faces and 2 bases
* We can find the surface area of it by adding the area of
the 6 faces
- In the problem
# The dimensions of the bases are 12 units and 14 units
# The dimensions of the side faces are 12 units and 7 units,
14 units and 7 units
* Now lets find the area of each 2 equal faces
- In the bases
∵ Area of the rectangle = length × width
∴ The area of one base = 12 × 14 = 168 units²
∴ The area of the two bases = 2 × 168 = 336 units² ⇒ (1)
- In the two opposite faces with dimensions 12 units and 7 units
∵ The area of one face = 12 × 7 = 84 units²
∴ The area of the two faces = 2 × 84 = 168 unit² ⇒ (2)
- In the two opposite faces with dimensions 14 units and 7 units
∵ The area of one face = 14 × 7 = 98 units²
∴ The area of the two faces = 2 × 98 = 196 unit² ⇒ (3)
* To find the surface area of the prism add (1) , (2) , (3)
∴ The surface area of the prism = 336 + 168 + 196 = 700 units²
* The surface area of the rectangular prism is 700 units²
Which ordered pair is a solution of the equation y = 3x?
A. (-8, -18)
B. (-8, -3)
C. (-2, -9)
D. (-10, -30)
Answers
I believe it’s b or c... Hope this helps!
Which sequences are geometric? Check all that apply. 10, 7.5, 5.625, 4.21875, … 160, 40, 10, 2.5, … 20, 70, 245, 857.5, … 13, 16.5, 20, 23.5, … 5, 5.5, 6.05, 6.655, … 16, 17.1, 18.2, 19.3, …
Answers
The sequence that shows geometric progression are options A), B), C), and E) and this can be determined by finding the geometric ratio.
Check all the options in order to determine which sequence is the geometric sequence.
A) 10, 7.5, 5.625, 4.21875,...
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{7.5}{10}[/tex]
r = 0.75
Ratio between second and third term:
[tex]\rm r =\dfrac{5.625}{7.5}[/tex]
r = 0.75
So, yes this sequence is in geometric progression.
B) 160, 40, 10, 2.5, …
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{40}{160}[/tex]
r = 0.25
Ratio between second and third term:
[tex]\rm r =\dfrac{10}{40}[/tex]
r = 0.25
So, yes this sequence is in geometric progression.
C) 20, 70, 245, 857.5, …
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{70}{20}[/tex]
r = 3.5
Ratio between third and fourth term:
[tex]\rm r =\dfrac{857.5}{245}[/tex]
r = 3.5
So, yes this sequence is in geometric progression.
D) 13, 16.5, 20, 23.5, …
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{16.5}{13}[/tex]
r = 1.27
Ratio between third and fourth term:
[tex]\rm r =\dfrac{23.5}{20}[/tex]
r = 1.175
So, no this sequence is not in geometric progression.
E) 5, 5.5, 6.05, 6.655, …
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{5.5}{5}[/tex]
r = 1.1
Ratio between third and fourth term:
[tex]\rm r =\dfrac{6.655}{6.05}[/tex]
r = 1.1
So, yes this sequence is in geometric progression.
F) 16, 17.1, 18.2, 19.3, …
Check from the geometric ratio whether the above sequence is a geometric sequence or not.
Ratio between first and second term:
[tex]\rm r =\dfrac{17.1}{16}[/tex]
r = 1.07
Ratio between third and fourth term:
[tex]\rm r =\dfrac{19.3}{18.2}[/tex]
r = 1.06
So, no this sequence is not in geometric progression.
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Answer:
1, 2, 3, 5
Step-by-step explanation:
Find the area please
Answers
=================================================
Explanation:
The base is 10 and the height is 6. So b = 10 and h = 6.
We don't use the 7 at all.
Let's use those b and h values into the formula below
A = b*h/2
A = 10*6/2
A = 60/2
A = 30
Answer:
30 square units
Step-by-step explanation:
Always remember that the equation for the area of a triangle is 1/2 times base times height. With an obtuse triangle, you must always ignore the slant. So, half of the base, which is 10, is equal to 5 and 5 times 6 is 30. Also, remember you can multiply in whichever order and the answer will always be the same because of the commutative property.
There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers. A) 0.5 km B) 5 km C) 50 km D) 500 km
Answers
Answer:
5,000 meters * 1 kilometer / 1,000 meters = 5 kilometers answer is B
Step-by-step explanation:
Answer:
the answer is 5k
Step-by-step explanation:
Use a calculator to solve for theta in the given interval
Answers
Answer:
d. [tex]1.82\: or\:4.46[/tex]
Step-by-step explanation:
The given trigonometric equation is;
[tex]\sec \theta=-4.0545[/tex]
Recall that;
[tex]\cos \theta=\frac{1}{\sec \theta}[/tex]
[tex]\implies \cos \theta=\frac{1}{-4.0545}[/tex]
[tex]\implies \cos \theta=-0.2466[/tex]
The cosine function is negative in the second and third quadrant.
[tex]\theta=\pi-\cos^{-1}(0.2466)\: or\:\pi+\cos^{-1}(0.2466)[/tex]
[tex]\theta=1.82\: or\:4.46[/tex]
PLS HELP 15 POINTS
Find the missing part.
L=8 W=4 H=2
Find the diagonal (d) of the rectangular solid.
Answers
Answer:
2√21
Step-by-step explanation:
Diagonal =√(L²+W²+H²)
Diagonal =√(8²+4²+2²)=√(64+16+4)=√84=2√21
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its surface area?
a.140 m2
b.166 m2
c.84 m2
d.70 m2
Answers
Answer:
5 by 4 face = 20 * 2 = 40
5 by 7 face = 35 * 2 = 70
4 by 7 face = 28 * 2 = 56
Total surface area = 166 square meters
Answer is "b"
Step-by-step explanation:
Answer:
your answer will be A
which element is located at a32?
a=[6, 9, -1]
[0, 2, 4]
[7, 8, 2]
Answers
Find the area of the composite figure. Round to the nearest hundredth.
Answers
**Cracks knuckles** let's do this.
Area of triangle = 31.25 yd^2
10 x 6.25 = 62.5
62.5 / 2 = 31.25
Area of rectangle A = 50 yd^2
10 (length) x 5 (7.5 - 2.5) (width) = 50
Area of rectangle B = 48.75 yd^2
7.5 x 6.5 = 48.75
Total area of composite = 130 yd^2
31.25 + 50 + 48.75 = 130
Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? A. 2y - 12 B. 2(y -12) C. 2(y + 12) D. 2y + 12
Answers
Answer:
B
Step-by-step explanation:
Two times the quantity of a number minus 12.
Represent the number with the variable y.
The quantity of a number minus 12 is then: (y-12).
Two times this quantity is 2(y-12).
So the answer is 2(y-12), which is B.
Find the domain and range of the function. f(x)=|2x|-sin x
Answers
Answer:
Domain = (-∞,∞)
Range: [0,∞)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x)=|2x|-sin(x)
From the graph we can see that
- the domain is equal to all real numbers.
- The range goes from [0,∞)
The correct answer is option d, but bear in mind that the range includes zero as well, so it would be Range: [0,∞)
Answer:
Answer is D!!!
Step-by-step explanation:
What is the lateral area of the cylinder?
Answers
Answer: second option.
Step-by-step explanation:
The formula used for calculate the lateral area of a cylinder is this one:
[tex]LA=2\pi rh[/tex]
Where "r" is the radius and "h" is the height
The formula for calculate the area of a circle (which is the base of a cylinder) is:
[tex]A=\pi r^2[/tex]
Knowing the area of the base, you can solve for the radius:
[tex]36\pi=\pi r^2\\\\r=\sqrt{\frac{36\pi units^2}{\pi}} \\\\r=6units[/tex]
Substitute the radius and the height into the formula [tex]LA=2\pi rh[/tex]:
[tex]LA=2\pi (6units)(2units)[/tex]
[tex]LA=24\pi\ units^2[/tex]
According to the general equation for conditional probability, if (image attached)
A. [tex]\frac{40}{49}[/tex]
B. [tex]\frac{24}{49}[/tex]
C. [tex]\frac{32}{49}[/tex]
D. [tex]\frac{16}{49}[/tex]
Answers
Answer: Option A
[tex]P(A|B) = \frac{40}{49}[/tex]
Step-by-step explanation:
In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:
[tex]P(A|B) = \frac{P(A\ and\ B)}{P(B)}[/tex]
Then if [tex]P(A\ and\ B) = \frac{5}{7}[/tex] and [tex]P(B) = \frac{7}{8}[/tex] then:
[tex]P(A|B) = \frac{\frac{5}{7}}{\frac{7}{8}}\\\\P(A|B) = \frac{40}{49}[/tex]
Answer:
Correct choice is A. [tex]P(A|B)=\frac{40}{49}[/tex].
Step-by-step explanation:
Given that [tex]P(A\cap B)=\frac{5}{7}[/tex], [tex]P(B)=\frac{7}{8}[/tex].
Now using those values , we need to find the value of [tex]P(A|B)[/tex].
So apply the formula of conditional probability:
[tex]P(A\cap B)=P(B) \times P(A|B)[/tex]
Plug the given values into above formula, we get:
[tex]\frac{5}{7}=\frac{7}{8} \times P(A|B)[/tex]
[tex]\frac{7}{8} \times P(A|B)=\frac{5}{7}[/tex]
[tex]P(A|B)=\frac{\frac{5}{7}}{\frac{7}{8}}[/tex]
[tex]P(A|B)=\frac{5}{7}\cdot\frac{8}{7}[/tex]
[tex]P(A|B)=\frac{40}{49}[/tex]
Hence correct choice is A. [tex]P(A|B)=\frac{40}{49}[/tex].
Which of the following equations is the formula of f(x) = x^1/3 but shifted 4 units to the left and 4 units up?
A. [tex]f(x) = (x-4)^{1/3} +4[/tex]
B. [tex]f(x) = 4x^{1/3} -4[/tex]
C. [tex]f(x)=(x+4)^{1/3} +4[/tex]
D. [tex]f(x) = 4x^{1/3} +4[/tex]
Answers
Answer:
Hence correct chcie is C.
[tex]f\left(x\right)=(x+4)^{\frac{1}{3}}+4[/tex]
Step-by-step explanation:
Given function is [tex]f\left(x\right)=x^{\frac{1}{3}}[/tex]
Now it says that function is shifted 4 units to the left and 4 units up.
We need to find about which of the given choice is correct for the given transformation.
When f(x) is shifted "h" units left then we write f(x+h)
So [tex]f\left(x\right)=x^{\frac{1}{3}}[/tex] will change to
[tex]f\left(x\right)=(x+4)^{\frac{1}{3}}[/tex]
When f(x) is shifted "h" units up then we write f(x)+h
So [tex]f\left(x\right)=(x+4)^{\frac{1}{3}}[/tex] will change to
[tex]f\left(x\right)=(x+4)^{\frac{1}{3}}+4[/tex]
Answer:
C
Step-by-step explanation:
For a function f(x) = [tex]x^{\frac{1}{3}}[/tex], we have:
f(x) = [tex](x-b)^{\frac{1}{3}}[/tex] is original translated b units rightf(x) = [tex](x+b)^{\frac{1}{3}}[/tex] is original translated b units leftf(x) = [tex]x^{\frac{1}{3}}+c[/tex] is original translated c units upf(x) = [tex]x^{\frac{1}{3}}-c[/tex] is original translated c units downKeeping these translation rules in mind, we can clearly say that 4 units shifted left and 4 units up has the equation [tex]f(x)=(x+4)^{\frac{1}{3}}+4[/tex]
correct answer is C
Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED?
A. EF
B. ZY
C. XZ
D. YX
Answers
YX is corresponding with ED
Hope it helps.
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What kind of geometric transformation is shown in the music?
Will give BRAINLIEST.
Is this glide? I can't really see it. Thank you!
Answers
The geometric transformation shown in the figure is reflection.
What is Reflection?Reflection is a type of geometric transformation where the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
here, we have,
Given is a set of lines in the music note.
Three line are drawn separating from a line.
In the first part, when we find the mirror image of the first part, we will get the second part.
Mirror images are found in the transformation of reflection.
So, here, we can say that reflection is the transformation here.
Hence the kind of geometric transformation shown in the line of music is reflection.
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I am in urgent need of some help!! So uh....Please help me A quadrilateral has angles that measure 72 degrees, 98 degrees and 65 degrees what is the measure of the fourth angle??
Answers
So I could be completely wrong, or I could be completely right, but quadrilaterals interior angles equal 360 degrees.
So, if you ad up 98, 72, and 65 you end up with 235 degrees.
In order to find the fourth angle, you would just subtract 235 from 360 and get 125 degrees.
BUT, maybe see if someone else answers too, because I am not 100% sure.