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4 years ago

Someone please help me with this question, I don’t know what to do.

Mathematics

1 answer:

Lelu [443]4 years ago

8 0

Answer:

22.5

Step-by-step explanation:

What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.

If you want to calculate it yourself stop reading here, because I will work it out now.

Volume box = a*b*c

Volume prism = 15

Volume pyramid = (b * c * a)/3

The prism has the volume of the box minus the pyramid so

abc - (abc)/3 = 15

abc - (1/3)abc = 15

(2/3)abc = 15

abc = 22.5

So 22.5 is the volume of the figure

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Given the pair of triangles are similar find the unknown length of the sides labeled with a variable

MArishka [77]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. Let us assume the following:

Let us assume triangle ABC is a right angled triangle with side AB = 24, AC = 32 and the hypotenuse BC = 40. Triangle PQR is a right angled triangle similar to triangle ABC with side PQ = 27, PR= b and the hypotenuse QR = a.

Answer:

Two triangles are said to be similar if they have proportional angles or proportional sides that is they have the same shape. For similar triangles, the ratio of their corresponding side are the same.

Given that triangle ABC is similar to triangle PQR, therefore:

$\frac{AB}{AC}=\frac{PQ}{PR}\\ Substituting:\\\frac{24}{32}=\frac{27}{b}\\cross\ multiplying:\\b=\frac{27*32}{24}\\ b=36$

$\frac{AB}{BC}=\frac{PQ}{QR}\\ Substituting:\\\frac{24}{40}=\frac{27}{a}\\cross\ multiplying:\\a=\frac{27*40}{24}\\ a=45$

5 0

4 years ago

A shoe store donated a percent of every sale to hospitals. The total sales were $8900 so the store donated $356. What percent of

kolezko [41]

Answer:

Step-by-step explanation:

Given data

The total sales= $8900

Donated amount=$356

Hence the percent donated is

=Donated amount/Total Sales *100

= 356/8900*100

=0.04*100

=4%

Hence the donated percent is 4%

3 0

3 years ago

Use the distributive property to find an expression that is equivalent to 27x2(second power)-42x+12

Lina20 [59]

27x^2 - 42x + 12

3 is a common factor:-

= 3(9x^2 - 14x + 4)

That is the equivalent expression.

5 0

3 years ago

HELP WILL REWARD BRAINLIEST Which is the solution to the equation 3.5 (2h + 4.5) = 57.75? round to the nearest tenth if necessar

krok68 [10]

3.5(2h+4.5)=57.75
7h+15.75=57.75
7h=57.75-15.75
7h=42
h=42/7
h=6

7 0

3 years ago

Read 2 more answers

How many collections of six positive, odd integers have a sum of 18? Note that 1 + 1 + 1 + 3 + 3 + 9 and 9 + 1 + 3 + 1 + 3 + 1 a

san4es73 [151]

Answer:

Step-by-step explanation:

Suitable software can generate these collections. They are ...

{13,1,1,1,1,1}, {11,3,1,1,1,1}, {9,5,1,1,1,1}, {9,3,3,1,1,1},

{7,7,1,1,1,1}, {7,5,3,1,1,1}, {7,3,3,3,1,1}, {5,5,5,1,1,1},

{5,5,3,3,1,1}, {5,3,3,3,3,1}, {3,3,3,3,3,3}}

5 0

3 years ago