As we know distance equals speed multiplied by time
118*2.25=265.5
Therefore the car can travel 265.5km in 2 hours 15 minutes with the speed of 118km/h
The van can travel approximately 265.5 kilometers in 2 hours and 15 minutes.
To find out how far the van can travel in 2 hours and 15 minutes, we need to use the formula:
Distance = Speed × Time
Given:
- Speed of the van = 118 km/h
- Time = 2 hours 15 minutes
First, let's convert the time to hours:
2 hours 15 minutes = 2 + 15/60 hours
= 2.25 hours
Now, we can use the formula to calculate the distance:
Distance = 118 km/h × 2.25 hours
Distance ≈ 265.5 km
Therefore, the van can travel approximately 265.5 kilometers in 2 hours 15 minutes.
x-2y+3z=-2
6x+2y+z=-48
x+4y+3z=-38
Answer:
x = -94/17, y = -6, z = -48/17
Step-by-step explanation:
If solving this system of equations is what you want, here's the answer.
Answer Numbers 5-8 with work
Answer: -3
Step-by-step explanation:8-5=3 take the negative so it’s -3
Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether?
248.39
713.56
420.41
421.59
Answer:
248.39
Step-by-step explanation:
421 × .59 =248.39
estimate the quotient 722 divided by 9
Answer: 72
Step-by-step explanation:
722 —> 720
9 —> 10
72 divided by 1 is 72
Help me!!! I am so confused
Answer:
[tex]\boxed{x^{2} + 2x - 8}[/tex]
Step-by-step explanation:
6. Practice
The dimensions of the current park are x long and x wide.
The new park will be 4 longer and 2 thinner.
Its new dimensions will be x + 4 long and x – 2 wide.
Its new area will be
A = width × length = (x – 2)(x + 4)
Find the product
[tex]\begin{array}{lll}\textbf{Steps} & \textbf{Problem: }(x - 2)(x + 4) & \\\textbf{1. List variables} & a = x - 2 & \\ & b = x & \\ & c = 4 &\\\textbf{2. Distribute (x - 2)} & (x -2)(x + 4)\\ & = (x - 2)(x) + (x - 2)(4)\\\textbf{3. Distribute x and 4} & x^{2} -2x + 4x - 8\\\textbf{4. Combine like terms}& x^{2} + 2x - 8\\\end{array}\\\text{The area of the updated skatepark will be }\boxed{\mathbf{ x^{2} + 2x - 8}}[/tex]
Help please ASAP !!!
For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:
[tex]Sin (45) = \frac {leg} {h}[/tex]
Where h is the hypotenuse.
[tex]\frac {\sqrt {2}} {2} = \frac {leg} {h}[/tex]
We cleared h:
[tex]h = \frac {2leg} {\sqrt {2}}[/tex]
We rationalize:
[tex]h = \frac {2leg} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}}\\h = \frac {2 \sqrt {2} * leg} {2}\\h = \sqrt {2} * leg[/tex]
ANswer:
Option A
What number should be added to both sides of the equation to complete the square?
x2 – 6x = 5
I think 9 should be added to both sides.
cofficient of x = 6
half of it = 6/2 = 3
square the 3
to give 3 squared = 3*3 9
Answer:
9
Step-by-step explanation:
To make it a Perfect Square Trinomial, you can square root 9 and multiply it to get 6, therefore 9 is correct
Rationalize the denominator and simplify. StartFraction 5 minus StartRoot 3 EndRoot Over 4 plus 2 StartRoot 3 EndRoot EndFraction
Answer:
[tex]\frac{13-7\sqrt{3}}{2}[/tex]
Step-by-step explanation:
We need to rationalize the denominator of [tex]= \frac{5-\sqrt{3}}{4+2\sqrt{3}}[/tex]. For rationalizing we multiply the equation by [tex]\frac{4-2\sqrt{3}}{4-2\sqrt{3}}[/tex]
So, solving
[tex]= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}[/tex]
Answer:
0.25
Step-by-step explanation:
The ratio of the lengths of an ellipse is 3:2. If it’s area is 150 cm2, what are the lengths of The major and minor semiaxes respectively?
Answer:
the length of major semiaxes a = 8.45 cm and minor semiaxes b= 5.63 cm.
Step-by-step explanation:
Area of ellipse = π*a*b
Let major semiaxes = a and minor semiaxes = b
then a:b = 3:2
a/b = 3/2
=> a = 3/2 b
Putting in the value of formula
150 = π * (3/2)b * b
150 = 3.14 * 1.5b * b
150= 4.71 b^2
150/4.71 = b^2
=> b^2 = 31.8
b= 5.63
a = 3/2 * b
a = 1.5 * 5.63
a = 8.45
So, the length of major semiaxes a = 8.45 cm and minor semiaxes b= 5.63 cm.
Answer:
Major: 8.5 cm
Minor: 5.6 cm
Step-by-step explanation:
Which equation represents a circle with a center located at (-2,2) and a circumference of 16π
Answer:
(x + 2)² + (y - 2)² = 64
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 2, 2), thus
(x + 2)² + (y - 2)² = r²
Given C = 2πr = 16π ( divide both sides by 2π )
r = [tex]\frac{16\pi }{2\pi }[/tex] = 8
Hence
(x + 2)² + (y - 2)² = 64 ← equation of circle
To find the equation of the circle with center at (-2,2) and a circumference of 16π, first calculate the radius r=8 from the circumference, then use the formula (x+2² + (y-2)² = 64.
The question asks for the equation of a circle with a given center and circumference. The center of the circle is located at (-2,2), and the circumference is 16π. First, we calculate the radius of the circle using the formula for circumference, C = 2πr, where C is the circumference and r is the radius. Since C = 16π, we can solve for r to find that the radius r = 8 units.
Next, we use the standard equation of a circle, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is its radius. Therefore, substituting h = -2, k = 2, and r = 8 into the equation, we get (x + 2)² + (y - 2)² = 64, which is the equation that represents the circle with the given center and circumference.
The length of the hypotenuse of a 45°-45°-90° triangle is 22. Find the length of one leg.
Check the picture below.
c/3 = 30/5 what steps do I take to see what c is?
For this case we must find the value of "c" of the following expression:
[tex]\frac {c} {3} = \frac {30} {5}[/tex]
We solve the right side of the equation:
[tex]\frac {30} {5} = 6[/tex]
Rewriting:
[tex]\frac {c} {3} = 6[/tex]
We multiply both sides of the equation by "3":
[tex]c = 6 * 3\\c = 18[/tex]
Answer:
[tex]c = 18[/tex]
Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.
11, 13, 14, 6, 10, 9, 10
The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?
Answer:
The correct answer is option "C"
"The interquartile range increases"
The value of the (RIC) will increase from 4 to 5.75, that is, 44%
Step-by-step explanation:
The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin
The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.
Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%
How far from the base of a building must the bottom of a 15-foot ladder sit in order for it to make a 52 angle with the ground? round to the nearest tenth of a foot.
Answer:
9.2 ft
Step-by-step explanation:
The length of the ladder is 15 ft
The ladder makes an angle of 52° with the ground
The distance (x) from the base of the house to the foot of the ladder is given by;
[tex]\frac{x}{15}[/tex] = cos 52°
x = 15 × cos 52° = 9.23492213 ft
Which equals to 9.2 ft (rounded off to tenth of a foot)
The distance between the base of the building and the bottom of the ladder is 11.72 feet.
It is given that
Length of the ladder = 15 feet
The angle of inclination = 52°
Let us say the distance between the base of the building and the bottom of the ladder is x.
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the base of the triangle.
Tan 52° = length of the ladder / distance between base of building and bottom of the ladder.
Tan 52 = 15/x
x= 15/Tan 52
x = 11.72 feet.
Therefore, The distance between the base of the building and the bottom of the ladder is 11.72 feet.
To get more about Trigonometric ratios visit:
https://brainly.com/question/24349828
How would you prove that ∠2 congruent ∠4?
Corresponding angles are congruent
From concept of base angle of parallel line, Option(D) Corresponding angles are congruent.
What is the concept to find the relation between ∠2 and ∠4 ?Given that ∠1 ≅ ∠2 .
In the diagram given aside, line a and b are parallel where the ∠4 and ∠2 are base angle subtended by the parallel lines.
From the traversal property of congruency, we know that the base angles of a parallel lines always subtend equal and congruent angles when it is intercepted by a common traversal.
Thus, from concept of base angle of parallel line, Option(D) Corresponding angles are congruent.
To learn more about base angle of parallel lines, refer -
https://brainly.com/question/13352230
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PLEASE HELP!! If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?
A. (5, 3)
B. (4, 5)
C.(5, 5)
D. (4, 3)
M refers to midpoint.
[tex]
A(9, 8) \\
B(-1, -2) \\
M(\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}) \\
M(\frac{9-(-1)}{2}, \frac{8-(-2)}{2}) \\
M(\frac{10}{2}, \frac{10}{2})\Longrightarrow\boxed{M(5, 5)}
[/tex]
Hope this helps.
r3t40
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost?
Answer:
$18.99
Step-by-step explanation:
Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5
Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99
Answer:
18.99
work:
13.99 + (1.25 x 4 )
13.99 + 5
18.99
trust me, 18.99 + (1.25 x 4) will work and the work showing also
This question is very confusing for me can someone please help me
Essentially this question is asking, If we made circle O as big as circle O1, how could we move it to the same spot. Therefore, I would expect the Answer to be D.
CAN SOMEONE PLEASE HELP ME ANSWER THIS
Answer:
12
Step-by-step explanation:
3•4=12
I need help with this
Answer: Angle 10 and Angle 2
How many hours are there in 1 week, 3 and 1/2 days?
Answer:
252 hours
Step-by-step explanation:
1 day = 24 hours
1 week = 7 days
= 24 * 7
= 168 hours
3 days = 24 * 3
= 72 hours
1/2 day = 24 / 2 = 12 hours
Add up all values/hours:
168 hours + 72 hours + 12 hours = 252 hours
Answer:
1 week- 168 hours
3 days-72 hours
1/2 day-12 hours
Step-by-step explanation:
1 week- 24x7=168
3 days- 24x3=72
1/2 day- 24x.5=12
what is the measure of major arc MBD
Answer:
The measure of the major arc MBD is 270°
Step-by-step explanation:
we know that
The measure of major arc MBD is equal to the sum of the measure of the arc MB plus the measure of the arc BD
BD is a diameter-----> divide the circle into two equal parts
so
arc BD=180°
arc MB is a quarter of circle
so
arc MB=90°
therefore
arc MBD=180°+90°=270°
find the equation of the circle that has a diameter with endpoints located at (-5 -3) and (-11 -3)
Answer: Option C
The equation is:
[tex](x+8)^2 +(y+3)^2=9[/tex]
Step-by-step explanation:
First we must calculate the midpoint between the two given points.
Then the midpoint will be the radius of the circumference
The midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is:
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
In this case the points are:
(-5 -3) and (-11 -3)
The the center is:
[tex](\frac{-5-11}{2}, \frac{-3-3}{2})[/tex]
[tex](-8,\ -3)[/tex]
Then the equation is:
[tex](x+8)^2 +(y+3)^2=r^2[/tex]
To find r we substitute one of the points in the equation and solve for r
[tex](-5+8)^2 +(-3+3)^2=r^2[/tex]
[tex](3)^2 +0=r^2[/tex]
[tex]r^2 =3^2[/tex]
[tex]r =3[/tex]
Finally the equation is:
[tex](x+8)^2 +(y+3)^2=9[/tex]
Answer:
Option C
Step-by-step explanation:
The standard form of equation of circle is:
(x-h)^2+ (y-k)^2=r^2
As we only know two points on the circle which are the ends of diameter.
As we know
Radius=Diameter/2
We have to find the length of diameter using the distance formula first to calculate radius. So,
Diameter= √((-11-(+5))^2+(-3-(-3)^2 )
= √((-11+5)^2+(-3+3)^2 )
=√((-6)^2+(0)^2 )
= √36
=6
Now,
Radius=6/2
=3
As the diameter passes through centre, so the mid-point of diameter will be centre of the circle:
Mid-point=((x_1+x_2)/2,(y_1+y_2)/2)
=((-5-11)/2,(-3-3)/2)
=((-16)/2,(-6)/2)
=(-8,-3)
Putting the values of radius and centre in standard form
(x-h)^2+ (y-k)^2=r^2
(x-(-8))^2+ (y-(-3))^2=3^2
(x+8)^2+ (y+3)^2=9
So the correct answer is option C ..
What is the algebraic expression for the difference between seven times a number and three times that number"?
7 -3x
7x-3
7x-3x
Answer:
the last one
Step-by-step explanation:
Answer:
the answer is indeed the last one
Step-by-step explanation:
7x-3x is the only one that meets the requirements for this statement
7-3x would be the difference between seven and three times a number
7x-3 would be the difference between seven times a number and three
have an absolutely fantastic day my friend!
Annie had 7 apples, she sold 5 of them, and bought 3 more apples. Annie gave 2 apples to her friends, and then lucy gave her 9 apples, annie ate 6 apples, and found 89 more apples. How many apples does annie have now?
Answer:
Annie has 95 apples now
Answer:
Annie has 95 Apples
Step-by-step explanation:
7 Apples - 5 Apples = 2
2 + 3 more apples = 5 Apples
5 Apples - 2 Apples = 3 Apples
3 Apples + 9 more apples = 12 Apples
12 - 6 = 6 Apples
6 Apples + 89 more apples = 95 Apples
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election.
Which statement describes a method that will help him accurately estimate this percentage?
He could contact every resident in the town, ask whether the resident will vote for the particular candidate, and then calculate the percentage of residents who say they will vote for the particular candidate.
He could ask employees at the newspaper which candidate each will vote for, and then calculate the percentage who will vote for the particular candidate.
He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate.
He could ask his readers to respond to a survey that asks which candidate the reader will vote for and then calculate the percentage of people who say that they will vote for the particular candidate.
Answer:
i dont real know
Step-by-step explanation:
Please help :))) lol
Answer:
.6*.3=.18
Step-by-step explanation:
when two events must both happen, multiply their probabilities. (and=*, or=+)
What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10
Answer:
This is your answer.
Step-by-step explanation:
Hope is helps!!
Answer: (x+1) (x+2) (x+5)
Step-by-step explanation:
Please help I'm very confused
Answer: OCTOBER 16th
Step-by-step explanation: The teams will meet again on October 16th
Let me know the answer plz
Answer: Option G
[tex]a_6 = -2048[/tex]
Step-by-step explanation:
The geometric series have the following form:
[tex]a_n = a_1 (r) ^ {n-1}[/tex]
Where [tex]a_1[/tex] is the first term of the sequence and r is the common radius.
In this case we know that
[tex]a_1 = -2\\\\r = 4[/tex]
So:
[tex]a_n = -2(4) ^ {n-1}[/tex]
To find the sixth term [tex]a_6[/tex], substitute [tex]n = 6[/tex] in the equation.
[tex]a_6 = -2 (4) ^ {6-1}\\\\a_6 = -2 (4) ^ 5\\\\a_6 = -2048[/tex]