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BlackZzzverrR [31]
2 years ago
5

Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide,

Mathematics
1 answer:
svetlana [45]2 years ago
3 0

Answer:

2.5 inches taller

Step-by-step explanation:

x cubic inches = width × height × length

height = (x ÷ width) ÷ length

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Find the tangent of angle Θ in the triangle below.
Rina8888 [55]

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

4 0
1 year ago
I need to find the volume for number 10
kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.


x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8


Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters


5 0
2 years ago
On a map,1 in. represents 12 mi. Two cities are 6 1/2 in. on a map. How far apart are the actual cities? A. 78 mi B. 72 1/2 mi C
Dovator [93]
1 inch= 12 miles


Multiply 6 1/2 inches by total number of miles per 1 inch (12).

= 6 1/2 * 12
convert to improper fraction

= 13/2 * 12
multiply numerators

= (13*12)/2
multiply in parentheses

= 156/2
divide

= 78 miles


ANSWER: (A) 78 miles

Hope this helps! :)
3 0
2 years ago
3. Solve the equation c2 = 80.
guapka [62]
C=40 bahshshahajehsh
4 0
2 years ago
Find x. Then find the measure of angles A, B and C.
mafiozo [28]

Answer:

x= 11

A=59

B= 37

C = 84

Step-by-step explanation:

A triangle adds up to 180 °.

So the equation will be a °+ b° + c° = 180°

Next, you combine like terms.

6x + 3x + 9x+4-15-7 = 180\\18x-18=180

Then inverse operation,

18x-18=180\\18x=198\\x=11

After to get a, b, and c you just need to plug in x.

6(11)-7=a\\3(11)+4 = b\\9(11)-15=c

4 0
3 years ago
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