All categories

3 years ago

Can someone please help with a few questions? For some of them I just need my answer checked. Thank you!!

2 answers:

7 0

I think the correct answer from the choices listed above is option B. The expression that best models the volume of the trunk would be pi*1.5^2*52. The volume of a cylinder is calculated by the expression V=pi(r^2)h. Hope this answers the question. Have a nice day. Feel free to ask more questions.

serg [7]3 years ago

3 0

The answer is A. pi*.75^2*52.

The trunk is of cylindrical shape.
The volume (V) of a cylinder:
V = π r² h
r - radius
h - height

It is given:
h = 52 feet (trunk is long 52 foot)
d = 1.5 feet (diameter of the trunk is 1.5 feet across)
r = d/2 = 1.5/2 = 0.75 feet

Now, just substitute h and r and π (π = 3.14) in the formula for the volume of the cylinder:
V = π r² h
V = 3.14 · 0.75² · 52

Thus, the correct choice is A. pi*.75^2*52

You might be interested in

2/9 x __ = 3/15. 2/5 x __ = 7/12.

vodka [1.7K]

Answer:

1 x= 9/10 or 0.9

2 x= 35/24 or 1 11/24

3 0

3 years ago

Answer the Blanks:

vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

$m\angle ADC=90^{\circ}$

2. ∠CDB is a right ange, because CD⊥AB, so

$m\angle CDB=90^{\circ}$

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}$

4. By Angle Addition Postulate,

$m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}$

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}$

6 0

3 years ago

Which is an equation of the line that passes through the point (8,7) and is perpendicular to the line whose equation is y = 4x-1

algol [13]

Answer:

Y = -1/4x + 5

Step-by-step explanation:

7 0

2 years ago

a car travels 54.9 miles in an hour. if the car continues at the same speed for 12hours,how many miles will it travel

Ilia_Sergeevich [38]

Here's what you have to do: multiply. 54.9×12= 658.8. So, he traveled 658.8 miles in twelve hours.

7 0

3 years ago

Tell whether the angles are adjacent or vertical. Then find the value of x.

Nimfa-mama [501]

Answer:

adjacent, x=15

Step-by-step explanation:

the angels are connected so they are adjacent, the red box shows that it is a 90 degree angle so adding both angels together means 90=6x so x=15

8 0

2 years ago