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3 years ago

8

Tell whether this statement is sometimes, always, or never true. Identify the answer with a sketch. If B is a point between A an

d C, then AB+BC=AC.

1 answer:

Ksivusya [100]3 years ago

7 0

The statement is always true

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Calculate the surface area and the volume of the cylinder.

algol13

Step-by-step explanation:

Surface area of a cylinder:

A = (2 x pi x r x h) + (2 x pi x r^2)

(2 x pi x 5 x 25) + (2 x pi x 5^2)

785.3981 + 157.0796 = 942.4777cm^2

Volume of cylinder:

V = pi x r^2 x h

pi x 5^2 x 25 = 1963.4954cm^3

4 0

3 years ago

Find the perimiter of this shape

juin [17]

Answer:

The perimeter of the shape is (7x²+10x+81) inches.

Step-by-step explanation:

When finding the perimeter of a shape, you have to add up all the side lengths :

$p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)$

$p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30$

$p =( 7 {x}^{2} + 10x + 81) \: inches$

5 0

3 years ago

If in a triangle ac= 15 and angle abc=60 degrees what is ab?

marin [14]

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

3 0

3 years ago

A restaurant charges $5.00 for a slice of pizza that is 1/3 of a pizza and $4.50 for a slice that is 1/5 of a pizza. One day the

katrin [286]

Answer:

<h3>5ths</h3>

Step-by-step explanation:

Given that:

Price of whole pizza (A) = 5 × 3 = $15
Price of whole pizza (B) = 4.50 × 5 = $22.50

They make 8 whole pizzas.

Therefore

Thirds (A) = 15 × 8 = $120
Fifths (B) = 22.50 × 8 = $180

They'll make more money if they slice it into fifths.

180 - 120 = $60

Because if they slice it into thirds, total profit will be $60 less

____________________

#IndonesianPride - kexcvi

7 0

2 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

masya89 [10]

Answer:

$40\pi \ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

In this problem we have

$r=10\ m$

Substitute and find the area

$A=\pi (10)^{2}=100 \pi\ m^{2}$

Remember that

$360\°$ subtends the area of complete circle

so

by proportion

Find the area of the shaded regions

The central angle of the shaded regions is equal to $2*72\°=144\°$

$\frac{100\pi }{360} \frac{m^{2}}{degrees} =\frac{x }{144} \frac{m^{2}}{degrees} \\ \\x=144*100\pi /360\\ \\ x=40\pi \ m^{2}$

6 0

3 years ago