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3 years ago

Prove that the two circles shown are similar

Mathematics

1 answer:

andrezito [222]3 years ago

3 0

Zoom factor will be the number to prove they’re the same

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A moving trailer with a speed of 70km/h slows down its speed by 15% within 30 seconds. calculate the declaration of the trailer.

antoniya [11.8K]

Answer:

declaration = - 0.55 m/s²

Step-by-step explanation:

The declaration is a negative accelaration.

Therefore:

$a = \frac{v-u}{t}$

a = ?

v = 70 of 15% = 10.5 km/h to m/s = 2.9 m/s

u = 70 km/h to m/s = 19.4 m/s

t = 30 seconds

$a = \frac{2.9-19.4}{30}\\$

a = - 0.55 m/s²

7 0

3 years ago

Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. Use 3.14 for π.

Snowcat [4.5K]

<span>Lets find the volume of a cylinder with a diameter D=10 inches and lenght L= 20 inches. First we need to notice that the diameter is twice the size of the radius: D=2r. Then we write the equation for the volume of the cylinder. it is the base times the height: V=pi*r^2 * L. Now we input the nubmers in the equation: V=3.14*(D/2)^2 * L where r=D/2=5 inches and after calculating we get: V=1570 inches^3</span>

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3 years ago

Read 2 more answers

Write the fraction in ascending order.

sveta [45]

from most to least:

i: 1/2, 1/3, 1/7, 1/10

ii: 2/3, 2/5, 2/9, 2/11

iii: 5/6, 3/4, 2/3, 1/2

iv: 4/5, 3/4, 5/8, 1/2

7 0

3 years ago

Given f(x)=-x+7 and g(x)=f(x+4) write a function for function g

finlep [7]

$\begin{array}{llrlll}f(x) = -x +7&~\hspace{10em} &f\left( \boxed{x+4} \right) &=& \boxed{-x+4}+7\\\\&&g(x) &=& -x+11\end{array}$

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3 years ago

What is the equation of the parabola with vertex (6,7) and focus (7,7)?

Delicious77 [7]

Answer:

Step-by-step explanation:

If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form

$4p(x-h)=(y-k)^2$

where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:

$4(x-6)=(y-7)^2$

We will solve this for x now by dividing each side by 4 and adding over the 6:

$x=\frac{1}{4}(y-7)^2+6$

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3 years ago