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Pie
3 years ago
9

Identify the volume of the composite figure rounded to the nearest tenth. HELP PLEASE!!

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

V = 115.3 ft³

Step-by-step explanation:

The left part of the figure shows a cube of side length 4.2 ft.  The volume of a cube is V = s³, where s is the side length.  Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.

The volume of a pyramid is V = (1/3)(base area)(height).

Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.

Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or

V = 115.3 ft³ after rounding up to the nearest tenth.

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What’s Distribute -x(5x+2)
MaRussiya [10]

Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

4 0
3 years ago
Read 2 more answers
Need help with this question regarding functions. :)
Tanzania [10]

The Y-intercept is found when X is equal to 0.

In the table, when X is 0, f(x) is 1.


On the graph, when X is 0 the line crosses at Y = 1.


This means that they are equal.


The answer would be equal to.

4 0
3 years ago
At the movie theatre, child admission is 6.30 and adult admission is 9.50 . On Sunday, four times as many adult tickets as child
Lady_Fox [76]

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

<h3>How many children went to the movie theatre?</h3>

In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.

We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:

x - 4 · y = 0     (1)

6.30 · x + 9.50 · y = 1063.20     (2)

By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

To learn on systems of linear equations: brainly.com/question/27664510

#SPJ1

4 0
1 year ago
Need help please :) I need to turn in today!!
miv72 [106K]

Answer:

6) H

7) A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
. Given that O is the centre of the following circle, find the values of the unknowns.​
alex41 [277]

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

a^{2} + 5^{2} = 13^{2}

a^{2} + 25 = 169

a^{2} = 169 - 25

a^{2} = 144

\sqrt{a^{2}}=\sqrt{144}

a = 12

Now to find the value of 'b', i will use law of cosine,

c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }

12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta =   0.3846\\\beta  = cos^{-1}(0.3846)\\\beta = 67.38

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

3 0
3 years ago
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