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weqwewe [10]
3 years ago
7

Please solve with working quick please

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

\displaystyle V=16500\ m^3

Step-by-step explanation:

<u>Volume Of A Pyramid </u>

The volume of a pyramid is computed as one third of the product of the area of the base (B) by the height (H):

\displaystyle V=\frac{1}{3}BH

<em>The question doesn't ask for anything in particular, so I'm computing the volume of the solid shown in the image </em>

We have a rectangular base of dimensions 15m x 60 m. The area of the base is

B=(15m)(60m)=900m^2

We now calculate the volume, knowing the height is 55 m

\displaystyle V=\frac{1}{3}(900\ m^2)(55\ m)

\boxed{\displaystyle V=16500\ m^3}

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10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help​
Alik [6]

Hey ! there

Answer:

  • Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

  • H² = P² + B²

<u>Where </u><u>,</u>

  • H refers to <u>Hypotenuse</u>

  • P refers to <u>Perpendicular</u>

  • B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

  • Base = <u>TE </u>

  • Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

  • Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

\quad \longmapsto \qquad \:SE {}^{2}  = TS {}^{2}  + TE {}^{2}

Substituting values :

\quad \longmapsto \qquad \:37 {}^{2}  = 35 {}^{2}  + TE {}^{2}

Simplifying it ,

\quad \longmapsto \qquad \:1369 = 1225  + TE {}^{2}

Subtracting 1225 on both sides :

\quad \longmapsto \qquad \:1369 - 1225  = \cancel{1225}  + TE {}^{2}  -  \cancel{1225}

We get ,

\quad \longmapsto \qquad \:144 = TE {}^{2}

Applying square root to both sides :

\quad \longmapsto \qquad \ \sqrt{ 144} =  \sqrt{TE {}^{2}}

We get ,

\quad \longmapsto \qquad \:     \red{\underline{\boxed{\frak{TE  = 12 \: feet}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

  • SE² = TS² + TE²

Substituting value of SE , TS and TE :

  • 37² = 35² + <u>1</u><u>2</u><u>²</u>

  • 1369 = 1225 + 144

  • 1369 = 1369

  • L.H.S = R.H.S

  • Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
6 0
2 years ago
Read 2 more answers
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline.
harkovskaia [24]
Answer:

30.8 miles per gallon

Explanation:

1.25 = 38.5

Divide both sides by 1.25

1 = 30.8
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2 years ago
Emily folded a paper circle into 2 equal parts. What is the angle measure of each part?​
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The diameter splits the circle into 2 equal halves by going through the midpoint of the circle. The two halves are called semicircles.
7 0
3 years ago
Need help with both questions
Svetradugi [14.3K]

The value of the variable 'x' in the first case and the second case will be 9° and 1.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.

In part 61, the equation is given as,

100° + 9x - 1° = 180°

Simplify the equation, then we have

9x + 99° = 180°

9x = 81°

x = 9°

In part 62, the equation is given as,

22x - 1 = 21

Simplify the equation, then we have

22x - 1 = 21

22x = 22

x = 1

The value of the variable 'x' in the first case and the second case will be 9° and 1.

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

4 0
11 months ago
What is a transformation
lianna [129]
A way to change the shape of a point, a line, or shape.
3 0
3 years ago
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