3 years ago

A cylinder has a radius 26 and a volume of 63,679 ft3.

Mathematics

2 answers:

Yuri [45]3 years ago

5 0

Answer:

D) 30 ft

Step-by-step explanation:

Formula is H = V πr2

H = 63,679 π26 squared

H = 29.98ft

29.98ft rounded to D)30ft

Alexeev081 [22]3 years ago

3 0

Answer:

D.) 30ft

Step-by-step explanation:

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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

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∠ A and ∠ B are complementary. If m∠ B = 80°, what is the measure of ∠ A?

Stolb23 [73]

Angle A would be 10 degrees.
Complementary angles add to 90 degrees.
So 90-80=10

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