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3 years ago

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.

Mathematics

2 answers:

son4ous [18]3 years ago

6 0

Answer: The height is 3 units.

Step-by-step explanation:

By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.

By using this information we can use the Pythagorean Formula to find the height

a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.

4^2 + b^2 = 5^2 Solve for B

16 + B^2 = 25

-16 -16

b^2 = 9

b = $\sqrt{9}$

b = 3

maksim [4K]3 years ago

3 0

Answer: The height is 3 units.

Step-by-step explanation:

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Acellus help slope intercept

Serjik [45]

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

$m=\frac{y_2-y_1}{x_2-x_1}$ ---> Rise Over Run

<em>But how are we gonna calculate if we don't have any two given ordered pairs?</em>

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

$m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2$

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - $y=mx+b$

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is $y=2x+7$

3 0

3 years ago

A professional baseball team won 84 games this season. The team won 14 more games than it lost. There were no ties. How many gam

siniylev [52]

14+x=84

x=70

The team lost 70 games.

84+70=x

154=x

The team played a total of 154 games.

5 0

3 years ago

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Determine the value of y.

Anon25 [30]

Answer:

i think it's (C) 4.8

$\frac{5}{5+3} = \frac{8}{8 + y}$

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3 years ago

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Ella and three friends run in a relay that is 14 miles long.Each person runs equal parts of the race.How many miles does each pe

sergeinik [125]

Each Person Runs: 3.5 miles.
14÷4= 3.5.

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3 years ago

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What percent of 17 is 51?

Taya2010 [7]

Answer:

33%

Step-by-step explanation:

h steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=51$.

Step 4: In the same vein, $x\%=17$.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$.

$x\%=17(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{17}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{17}{51}$

$\Rightarrow x=33.33\%$

Therefore, $17$ is $33.33\%$ of $51$.

4 0

2 years ago

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