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2 years ago

Which statements are true about the toolbox? Select two options.

Mathematics

1 answer:

Amanda [17]2 years ago

8 0

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct

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3 years ago

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Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?

Andrew [12]

Answer:

120°

Step-by-step explanation:

All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

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3 years ago

The team won eight games and lost three. What is the ratio of wins to total games?

jonny [76]

Answer:

The answer is 8:11 !

Step-by-step explanation:

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3 0

3 years ago

The vertices of a polygon are P(0,4), Q(5,4), R(5,−3) and S(0,−3). What is

andrezito [222]

Answer:

Perimeter of the polygon p = 24

Step-by-step explanation:

Step(i):-

Given the vertices of a polygon are

P(0,4) ,Q( 5,4) ,R( 5,-3) and S(0,-3)

The distance of PQ

$a = PQ = \sqrt{(4-4)^{2} +(5-0)^{2} } = \sqrt{25} =5$

The distance of QR

$b = Q R= \sqrt{(-3-4)^{2} +(5-5)^{2} } = \sqrt{49} =7$

The distance of RS

$c = RS = \sqrt{(0-5)^{2} +(-3+3)^{2} } = \sqrt{25} =5$

The distance of PS

$d = PS = \sqrt{(0-0)^{2} +(-3-4)^{2} } = \sqrt{49} =7$

Step(ii):-

Perimeter of the polygon

= sum of all sides of polygon

p = a+ b+ c+ d

p = 5+7+5+7

p = 24

Final answer:-

Perimeter of the polygon p = 24

5 0

3 years ago

I wasn't in class so I need help solving the inequality 7/10n+14<49

NikAS [45]

Answer:

n<50

Step-by-step explanation:

7/2*5n + 14<49

7n/2*5+14<49

(7n)+(2*5)14/2*5 <49

7n+10*14/2*5 <49

7n+140/2*5 <49

7n+140/10 <49

7n+140 < 10*49

7n+140 < 490

(7n+140)+(-140)<490+(-140)

7n+140-140<490-140

7n<350

7n/7 < 350/7

n<2*5^2*7/7

n<2*5^2

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n<50

8 0

3 years ago