There are two lines from the center of the circle labeled 5.
The lines at 90 degrees from the 5 are chords. Because both lines are the same distance from the center they are the same length.
The one on the top is labeled as 9, so the line on the bottom is also 9 units long.
X is half the length, so would b 9 /2 = 4.5 units long.
Find the value of x, rounded to the nearest tenth.
X multiplied by the side labeled 5 is equal to the line labeled 9 multiplied by the line labeled 5.1
9 x 5.1 = 45.9
x = 45.9 / 5
x = 9.18
x = 9.2
I need help on this plz
Answer:
$51200
Step-by-step explanation:
Simply do this: 2¹⁰ × 50. You are doing this because you are doubling it for each year that goes by.
I am joyous to assist you anytime.
Larry’s checkbook has a balance of $922.63. What is most likely the reason that Larry’s balance is different from the banks balance
Answer:
Check 318 was not cashed or deposited.
Step-by-step explanation:
If you look at the check numbers, check number 318 was not used. Therefore that is why Larry's balance is different from the banks balance.
Answer:
Step-by-step explanation:
Option D. check 318 was not cashed or deposited.
Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle KJL is 2x + 5° and angle MJN = 3x – 8 find the measure of angle KLM.
Answer:
The measure of angle KLM is 62°
Step-by-step explanation:
* Lets revise the properties of the rhombus
- The rhombus has 4 equal sides in length
- Every two opposite angles are equal in measure
- The two diagonals bisect each other
- The two diagonals perpendicular to each other
- The two diagonals bisect the vertices angles
* Lets solve the problem
∵ JKLM is a rhombus
∴ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus
∵ JL and KM are diagonals in the rhombus and intersect each
other at N
∴ JL bisects ∠MJK
∴ m∠KJL = m∠MJN
∵ m∠KJL = (2x + 5)°
∵ m∠MJN = (3x - 8)°
∴ 2x + 5 = 3x - 8 ⇒ subtract 2x from both sides
∴ 5 = x - 8 ⇒ add 8 to both sides
∴ 13 = x
∴ The value of x = 13
∵ m∠KJL = (2x + 5)° ⇒ substitute the value of x
∴ m∠KJL = 2(13) + 5 = 26 + 5 = 31°
∵ m∠KJL = 1/2 m∠MJK
∴ m∠MJK = 2 m∠KJL
∴ m∠ MJK = 2 × 31° = 62°
∵ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus
∴ m∠KLM = 62°
john order 3 burgers and 2 fries for $12.15. Emily bought 4 burgers and 3 fries for $16.80. How much did the pay for each burger and order of fries?
Answer:
They paid $2.85 for each burger and $1.8 for each order of fries
Step-by-step explanation:
It will be solved simultaneously,
let x represent burger and y represent fries
John's order gives the first equation
3x + 2y = 12.15 ........(1)
Emily's order gives the second equation
4x + 3y = 16.80 ..........(2)
multiply equation (1) by 3 and equation (2) by 2 so as to eliminate y
9x + 6y = 36.45 ....... (3)
8x + 6y = 33.6 ........... (4)
subtract equation (4) from (3)
9x - 8x + 6y -6y = 36.45 - 33.6
x = 2.85
substitute x= 2.85 in equation (1)
3(2.85) + 2y = 12. 15
8.55 + 2y = 12.15
2y = 12.15 -8.55
2y = 3.6
y = 1.8
Answer:
Cost of burger = $2.85 and Cost of fries = $ 1.80.
Step-by-step explanation:
Given : john order 3 burgers and 2 fries for $12.15. Emily bought 4 burgers and 3 fries for $16.80.
To find : How much did the pay for each burger and order of fries.
Solution : We have given 3 burgers and 2 fries for $12.15.
Let the cost of 1 burger = x .
Let the cost of 1 Fries = y .
3 x + 2 y = $12.15 ------(1)
4 x + 3 y = $16.80-----(2)
On multiplying (i) by 4 and (ii) by 3 and subtracting the equation .
12x + 8y = $48 .60
(-)12x +(-) 9y = (-)$50 .40
_____________
0 -y = -$ 1.80
y = $ 1.80.
3x + 2(1.80) = $12.15 .
3x + 3.60 = 12.15
3x = 12.15 - 3.60
3x = 8.55
On dividing both sides by 3.
x = $2 .85
Therefore, Cost of burger = $2.85 and Cost of fries = $ 1.80.
Please answer quickly.
Answer:
3) 3a - 2 + 3 = -2
3a = -2 + 2 - 3 = -3
a = -3/3 = -1
4) m/-6 - 18 - 4 = -16
m/-6 = -16 + 18 + 4 = 6
m = 6 · (-6) = -36
5) x/-2 - 4 + 22 = -28
x/-2 = -28 + 4 - 22 = -46
x = -46 · (-2) = 92
6) -13 = 5 + 20m - 2m
-13 = 5 + 18m
-18 = 18m
m = -18/18 = -1
7) -2(2p - 1) = -14
-4p + 2 = -14
-4p = -14 - 2 = -16
p = -16/(-4) = 4
8) -1(8x + 20) = 12
-8x - 20 = 12
-8x = 12 + 20 = 32
x = 32/(-8) = -4
9) -49 = 7(2x + 3)
-49 = 14x + 21
-14x = 49 + 21 = 70
x = 70/-14 = -5
10) 3(8h - 4) + 17 = -19
24h - 12 + 17 = -19
24h = -19 + 12 - 17 = -24
h = -24/24 = -1
The length of the transverse axis is 11, and the length of the red line segment is 19. How long is the blue line segment?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
A set of equations is given below:
Equation C: y = 3x + 7
Equation D: y = 3x + 2
Which of the following best describes the number of solutions to the given set of equations?
One solution
Two solutions
Many solutions
No solution
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free. Which inequality describes the number of levels, ł, you can play in 60 minutes? Choose 1 answer: A. 5 1/6 + (7 1/3) ł >_ 60 B. 5 1/6 + (7 1/3) ł <_ 60 C. (7 1/3) ł - 5 1/6 >_ 60 D. (7 1/3) ł - 5 1/6 <_ 60 ( the _ goes under the < or > cause I can’t do it on my phone) Can you play 6 levels during your free trial? Choose 1 answer: yes or no
Answer:
Question 1: b Question 2: yes
Step-by-step explanation:
The variable must go with 7+1/3 calculate time for all the levels. Then add 5+1/6. It must be less than or equal to because you want to play all 6 levels. You can play all 6 when you plug in 6 as the variable. It is less than 60
Write the fraction 72/81
in simplest form.
Answer: 8/9
Hope it helped!
Answer:
8/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 72 and 81 is 9
72 ÷ 9
81 ÷ 9
= 8/9
Find the height of a triangle that has an area of 30 square units and a bas measuring 12 units
That answer is 180. The formula is a=bh1/2
In the swimming pool design explain how to find the area of the pool surface
Answer:
Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.
Step-by-step explanation:
i did it.
Answer:
Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.
Step-by-step explanation:
make sure to inlcued
- area of rectangle
- half the diameter for the radius
- half the area of the circle
- subtract the area of the half circle from the area of the rectangle
Which amount is a reasonable tip for an airport skycap? A. $2 total B. $2 per bag C. $5 per bag
Answer:
Step-by-step explanation:
B or C depending on how many bags you have
A reasonable tip for an airport skycap is generally $2 per bag, reflecting both the service provided and the quantity of luggage.
The question asks about the appropriate tip amount for an airport skycap. A common guideline for tipping skycaps is $2 per bag, which is considered to be a reasonable amount. Tipping $5 per bag may be considered generous in many cases, and a flat rate of $2 in total could be seen as insufficient unless you only have one bag. The tip should reflect the quality of service provided and the number of bags. The provided information regarding airline costs and opportunity costs of time at airports is not directly related to tipping skycaps but does highlight the broader context of airport expenses and the value of time for air travelers.
Let f(x) =Sqrt 9x and g(x) =x+7 whats the smallest number that's in the domain of f ° g
The smallest number that's in the domain of f ° g is x = 0.
Explanation:The function f(x) = √(9x) represents the square root of 9x.
The function g(x) = x + 7 represents adding 7 to x. To find the smallest number that is in the domain of f ° g, we need to determine the values of x that satisfy both f(x) and g(x).
We can start by looking at the domain of g(x), which includes all real numbers. So any value of x will work for g(x).
Next, we need to consider the domain of f(x). Since taking the square root of a negative number is not defined in the real number system, we must ensure that 9x is positive or zero.
So we set 9x ≥ 0 and solve for x: x ≥ 0. This means any non-negative value of x will work for f(x).
Now, to find the smallest number in the domain of f ° g, we need to find the intersection of the domains of f(x) and g(x).
Since any value of x will work for g(x) and only non-negative values of x will work for f(x), the smallest number that satisfies both functions is x = 0.
A water trough is in the shape of a trapezoidal prism with the dimensions shown below.
A). find total volume of water that the trough can hold
Answer:
24ft^3
Step-by-step explanation:
Hope it helped you!
Answer:
24 ft.
Step-by-step explanation:
Someone please show a quicker way! (Done inefficiently in my head.)
((1.5 x1.2) + (((1.2 x .5)/2) x 2)) x 10 = 24
Does anyone know this?
Answer:
h(1)= 1
h(4)=5
Step-by-step explanation:
Given
h(x)= x^3 for 1≤x≤3
and
h(x)=5 x>3
Now finding h(1), i.e when x=1
x=1 lies in the range 1≤x≤3 hence putting value x=1 in x^3
h(1)= 1^3
= 1
Now finding h(4), i.e when x=4
x=1 lies in the range x<3 hence putting value x=4 in h(x)=5
h(4)= 5 !
which statement best describes the association between variables X and variable Y?
*moderate positive association
*moderate negative association
*perfect negative association
*perfect positive association
someone please help me
Answer:
moderate negative
Step-by-step explanation:
a perfect would be a rate, I believe.
The statement which best describes the association between variables X and variable Y is:
moderate negative association
Step-by-step explanation:Since by looking at the scatter plot we see that the Y-value is decreasing with the increasing x-value i.e. the two variables are in inverse proportion.
Hence, the two variables has a negative association.
Also, when we will draw a line of best fit we will observe that not all the data points will lie on the trend line but they will be closely related to the line of best fit.
Hence, the relationship is moderate.
Hence the answer is:
Moderate negative association.
I need this question
Answer:
2
Step-by-step explanation:
7 divided by 4 equals 1.75 then round to nearest tenth you get 2.
the answer is 1.8 because 1.75 is getting rounded by the 7 place which is the tenths place
Which line is the best model for the data in the scatter plot?
Answer:
the 1st one in the 2nd row
Step-by-step explanation:
You borrow $4000 from the bank at 3% annual interest compounded monthly. The monthly payment is $200. What is the balance after the third payment?
The balance of a $4000 loan at a 3% annual interest rate compounded monthly after three payments of $200 each is $3428.58.
To find the balance after the third payment of a $4000 loan, compounded monthly at an annual interest rate of 3%, we must first determine the monthly interest rate. The annual rate of 3% means a monthly rate of 0.25% (3%/12 months). Next, we'll apply the loan payment process three times to calculate the remaining balance.
Month 1: Initial balance is $4000. Interest for the month is $4000 * 0.0025 = $10. The balance before payment is $4010. After a $200 payment, the new balance is $4010 - $200 = $3810.Month 2: Interest for the month is $3810 * 0.0025 = $9.53. The balance before payment is $3810 + $9.53 = $3819.53. After a $200 payment, the new balance is $3819.53 - $200 = $3619.53.Month 3: Interest for the month is $3619.53 * 0.0025 = $9.05. The balance before payment is $3619.53 + $9.05 = $3628.58. After the third $200 payment, the new balance is $3628.58 - $200 = $3428.58.The balance after the third payment is $3428.58.
What is the value of x in this figure?
143√
282√
28
283√
Answer:
Third option: 28
Step-by-step explanation:
You need to remember the following identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
In the right triangle shown in the figure, you can identify:
[tex]\alpha=30\°\\opposite=14\\hypotenuse=x[/tex]
Then, you need to substitute the corresponding values into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:
[tex]sin(30\°)=\frac{14}{x}[/tex]
Now, you can solve for "x":
[tex]xsin(30\°)=14\\\\x=\frac{14}{sin(30\°)}\\\\x=28[/tex]
Answer:
The value of x is 28 units
Step-by-step explanation:
Given a right angled triangle with one side 14 units and one angle 30°
we have to find the value of x
By trigonometric ratios
[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30^{\circ}=\frac{14}{x}[/tex]
[tex]\frac{1}{2}=\frac{14}{x}[/tex]
[tex]x=14\times 2=28 units[/tex]
Hence, the value of x is 28 units.
Option C is correct
Please help! Thank you!!
Answer:
BC = 11
Step-by-step explanation:
Substitute x = 5 into the expression for BC
BC = 2x + 1 = (2 × 5) + 1 = 10 + 1 = 11
11 is the answer good luck
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
Determine the volume of the prism to the nearest cubic inch. Show how you arrived at your answer
30 in
10 in
ON
Answer:
The volume of the prism is [tex]1,299\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular base
L is the length of the prism
we have
[tex]L=30\ in[/tex]
Find the area of the base B
The area of a equilateral triangle is equal to
[tex]B=\frac{1}{2}(10)^{2} sin(60\°)[/tex]
[tex]B=25\sqrt{3}\ in^{2}[/tex]
substitute
[tex]V=(25\sqrt{3})(30)=1,299\ in^{3}[/tex]
The volume of the traingular prism is 1,280.85 in³.
Volume of the prismThe volume of the prism is determined using the following formulas as show below;
V = Bh
where;
B is the base area of the prismh is the height of the prismBase area is calculated as follows;
[tex]A = \frac{a^2\sqrt{3} }{4} \\\\A = \frac{10^2 \times \sqrt{3} }{4} \\\\A = 25\sqrt{3} \ in^2[/tex]
Height of the prism[tex]L^2 = (\frac{a}{2} )^2 + h^2\\\\h^2 = L^2 - (\frac{a}{2} )^2\\\\h^2 = 30^2 - (\frac{10}{2} )^2\\\\h^2 = 875\\\\h = \sqrt{875} \\\\h = 29.58 \ in[/tex]
Volume of the prismV = 25√3 x 29.58
V = 1,280.85 in³
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i need help please ill give you 20 points
Answer: x < -1
Remember:
A white dot indicates > or <, not ≥ or ≤.In this case, the arrow is pointing to the left, so x must be < -1.Answer: D, or x<-1
Step-by-step explanation:
The arrow on the number line indicates the direction in which the set of numbers represented is going. In this case, the arrow is pointing in the negative direction from -1; so we know that it will be either x < -1 or x ≤ -1
The circle represents whether the set of points is inclusive or exclusive. This is an exclusive case, which means that the point x = -1 is not included in the set of points.
That's how we know the inequality represented by the graph is x < -1
The probability of it snowing in Eastern Canada tomorrow is 0 . 4 0.40, point, 4. The probability of it snowing in Western Canada tomorrow is 2 5 5 2 start fraction, 2, divided by, 5, end fraction. Which of these events is more likely? Choose 1 answer: Choose 1 answer: (Choice A) A It snows in Eastern Canada tomorrow. (Choice B) B It snows in Western Canada tomorrow. (Choice C) C Neither. Both events are equally likely.
Answer:
c
Step-by-step explanation:
Both the events are equally likely so neither can be more likely.
The correct answer is: C Neither. Both events are equally likely.
Given that the probability of it snowing in Eastern Canada tomorrow is 0.4 and that of in Western Canada is 2/5,
We need to determine which of the given events is more likely,
To determine which event is more likely, we compare the probabilities provided for each event:
The probability of it snowing in Eastern Canada tomorrow is 0.4.
The probability of it snowing in Western Canada tomorrow is 2/5, which is equivalent to 0.4.
Since both probabilities are equal (0.4), we can conclude that both events, A (It snows in Eastern Canada tomorrow) and B (It snows in Western Canada tomorrow), are equally likely.
Therefore, the correct answer is: C Neither. Both events are equally likely.
Learn more about probability click;
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how this 0=t2−t−2 become this 0=(t−2)(t+1)
In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.
Let's solve the equation step-by-step.
t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2
Step 1. Use the Quadratic Formula to find the roots r1 and r2.
t = −b ± √b²−4ac/2a
t = -(-1) ± √(-1)²−4(1)(-2)/2(1)
t = 1 ± √1+8/2
t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2
Step 2. Calculate the roots r1 and r2
r1 = 1 + √9/2 = 2
r2 = 1 - √9/2 = -1
Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.
1(t - 2)(t + 1) = 0
(t - 2)(t + 1) = 0
How many solutions does this system of equations have?
Y=-3x+7
Y=-3x-6
A. Infinitely many
B. Two solutions
C. One solution
D. No solutions
System of equations helps us to compare two real-life problems. The system of equations will have no solution.
What is a System of equations?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
As the systems of two-equations are given, therefore, the two equations are:
Y=-3x+7Y=-3x-6Now, if we plot the two-equation on the graph, we will find that the lines of the two equations are parallel. therefore, the system of equations will have no real solution or will have no solution.
Hence, the system of equations will have no solution.
Learn more about System of equation:
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Can someone please help me
Answer:
Let's solve your system by substitution.
x=5;y=−7
Step: Solve x=5 for x:
x=5
Step: Substitute 5 for x in y=−7:
y=−7
y=−7
Answer:
x=5 and y=−7
x=3;y=2x−1
Step: Solve x=3 for x:
x=3
Step: Substitute 3 for x in y=2x−1:
y=2x−1
y=(2)(3)−1
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Let's solve your system by substitution.
y=6x+3;y=5x+4
Step: Solve y=6x+3 for y:
y=6x+3
Step: Substitute 6x+3 for y in y=5x+4:
y=5x+4
6x+3=5x+4
6x+3+−5x=5x+4+−5x(Add -5x to both sides)
x+3=4
x+3+−3=4+−3(Add -3 to both sides)
x=1
Step: Substitute 1 for x in y=6x+3:
y=6x+3
y=(6)(1)+3
y=9(Simplify both sides of the equation)
Answer:
x=1 and y=9
2x+3y=2;y=x−6
Step: Solve y=x−6 for y:
y=x−6
Step: Substitute x−6 for y in 2x+3y=2:
2x+3y=2
2x+3(x−6)=2
5x−18=2(Simplify both sides of the equation)
5x−18+18=2+18(Add 18 to both sides)
5x=20
divide both sides by 5
5x/5 and 20/5
x=4
Step: Substitute 4 for x in y=x−6:
y=x−6
y=4−6
y=−2(Simplify both sides of the equation)
Answer:
x=4 and y=−2
line segment AB has endpoints A(1,-3) and B(-2,1). What is the midpoint of line segment AB
Answer:
[tex]\large\boxed{\left(-\dfrac{1}{2},\ -1\right)}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\================================\\\\A(1,\ -3),\ B(-2,\ 1)\\\\\text{Substitute:}\\\\x=\dfrac{1+(-2)}{2}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1[/tex]
Answer:
[tex](\frac{-1}{2} ,-1)[/tex]
Step-by-step explanation:
line segment AB has endpoints A(1,-3) and B(-2,1).
To find the midpoint of AB we use formula
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
A(1,-3) is (x1,y1) , B(-2,1) is (x2,y2)
Plug in the values in the formula
[tex](\frac{1-2}{2} ,\frac{-3+1}{2} )[/tex]
[tex](\frac{-1}{2} ,\frac{-2}{2} )[/tex]
[tex](\frac{-1}{2} ,-1)[/tex]
Which statement proves that quadrilateral JKLM is a kite?
∠M is a right angle and MK bisects ∠LMJ.
LM = JM = 3 and JK = LK = .
MK intersects LJ at its midpoint.
The slope of MK is –1 and the slope of LJ is 1.
Answer:
B) LM = JM = 3 and JK = LK = √17
Step-by-step explanation:
just took test, A is wrong, can i get brainliest please?
Answer:
B) LM = JM = 3 and JK = LK = √17