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3 years ago

Find the volume of this prism 41cm2 11cm

Mathematics

1 answer:

shusha [124]3 years ago

4 0

Answer:

451 cm^3

Step-by-step explanation:

V = Bh (base area and height multiplied)

41 cm^2 x 11 cm = 451 cm^3

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1. Do you the following side lengths form a right triangle?2. Which measurement is closest to the value of X in centimeters?

koban [17]

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

$7.5^2=4.5^2+6^2$

By the theorem. Then:

$\begin{gathered} 7.5^2=56.25 \\ 4.5^2+6^2=20.25+36=56.25 \end{gathered}$

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case:

$\begin{gathered} 12^2+x^2=39^2 \\ x=\sqrt{1521-144} \\ x=\sqrt{1377} \\ x\approx37.1cm \end{gathered}$

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1 year ago

The ratio of the number of students to the number of teachers in a school is 17:5. If there are 35 teachers in a school, how man

kompoz [17]

Answer:

75 students

Step-by-step explanation:

4 0

3 years ago

During the past year, Zara and Ivan each read 2 books, but George read 7, Ali read 12, and Marsha read 25. The median number of

gogolik [260]

Answer:

D = 7

Step-by-step explanation:

To find the median, we must first list the amount of books each person read, and then put them in order.

2, 2, 7, 12, 25

These are already in order from smallest to greatest, which is awesome. We can then cross out one number from each side until we end up with either one or two numbers. We then find the average of those 1 or 2 numbers to find our median.

2, 3, 7, 12, 25

cross 2 and 25 out

3, 7, 12

cross 3 and 12 out

Our median is thus 7

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2 years ago

Given f(x)=x-10 . what is f(-7)?

Tomtit [17]

F(-7) = -7 - 10

f(-7) = -17

Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>

8 0

3 years ago

Mary states, "If the diagonals of a parallelogramare congruent, then the

slava [35]

Answer:

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = $90^{0}$ (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC = $360^{0}$

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

4 0

3 years ago