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Zepler [3.9K]
2 years ago
6

Find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft

Mathematics
1 answer:
Savatey [412]2 years ago
3 0
Answer:

78.732

Step-by-step explanation:

Volume is length x width x height so
3.6 x 2.7 x 8.1 is 78.732
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Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?
irina [24]
A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20) 

A - 20 = 3C - 60  

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60                A = C + 8

2C = 48                             A = 24 + 8 

C = 24 years                     A = 32 years
5 0
3 years ago
Read 2 more answers
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
What's the area of a triangle of 14ft and 17ft
BlackZzzverrR [31]
14 x17 = 238 feet. Area is just length times width
8 0
2 years ago
The center is (0, -3.2) and the radius is 2.2.
Radda [10]

Answer:

x^{2} +(y+3.2)^{2} =2.2^{2}

Step-by-step explanation:

(x-h)^{2} +(y-k)^{2} =r^{2}

The center is (h, k)

r is the radius

4 0
3 years ago
How many acute, obtuse, and right angles are in this figure?
marta [7]
Hello!

Acute angles are angles less than 90°

A right angle is a angle that is exactly 90°

A Obtuse angle is a angle that is more than 90°

Looking at the picture there are

acute angles - 2
obtuse angles - 2
right angles - 0

Hope this helps!
5 0
3 years ago
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