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IRINA_888 [86]
3 years ago
10

Are the following ratios equivalent 4:8 and 36:72

Mathematics
2 answers:
astraxan [27]3 years ago
8 0

4 : 8

x 9 => 36 : 72  <=== equivalent

pychu [463]3 years ago
8 0

8x36=288 4x72=288 The same number so it must be equivalent. Hopefully that helps you ❤

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What is the slope Of a line that passes through the points (9,8) and (2,3)?
tresset_1 [31]

(\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{9}}}\implies \cfrac{-5}{-7}\implies \cfrac{5}{7}

6 0
2 years ago
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Solve the triangle A = 2 B = 9 C =8
VARVARA [1.3K]

Answer:

\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}

Then, given the sides a=2, b=9, and c=8.

\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}

For B:

\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}

3 0
1 year ago
A cube has edges that are 3 inches in length. How many of these cubes will it take to completely fill a larger cube that has an
lorasvet [3.4K]

64

Step-by-step explanation:

We will divide the volume of the larger cube with that if the smaller cube. However, we’ll first have to convert them to the same SI units;

12 inches  = 1 foot

Therefore the volume of the larger cube;

12 * 12 * 12 = 1728 inches cubed

The volume of the smaller cube;

3 * 3 * 3 = 27 inches cubed

Divide the two;

1728/27

= 64

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6 0
3 years ago
An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
Helga [31]
2 times it will coincide

6 0
3 years ago
Find the length of each side.
34kurt

Answer:

16.852

Step-by-step explanation:

All side lengths are the same in an octagon. What you do is take the diamater and multiply it by 0.383. Diamater is the radius doubled.

7 0
3 years ago
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