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3 years ago

Which pairs of angles are supplementary? A) ∠BCD and ∠BAD B) ∠BCD and ∠ABC C) ∠BCD and ∠CDA D) ∠ABC and ∠BAD

Mathematics

1 answer:

Bogdan [553]3 years ago

4 0

<span>∠ABC ∠BAD is the correct answer

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If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$

Hence the slant height of the cone is 65.6 m

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3 years ago

Mr. Anderson had 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get?

Soloha48 [4]

Answer:

Step-by-step explanation:

there were 5 pieces now there is 4. so 4 slices of pizza divided by 4 is 1

3 0

3 years ago

Which type of transformation is shown below?

Lina20 [59]

Answer:

C.) A dilation. It got bigger so its a dilation

7 0

3 years ago

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A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

avanturin [10]

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

$V=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

$r=10.4\ ft\\\\h=8.4\ ft$

You get this volume:

$V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3$

If you double the radius, the volume of the conical tent will be:

$V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3$

When you divide both volumes, you get:

$\frac{3,805.70\ ft^3}{951.43\ ft^3}=4$

Therefore, doubling the radius will quadruple the volume of the tent.

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3 years ago

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.

Yuki888 [10]

$p = 2l + 2w$
P=Perimeter
L=Length
W=Width

Hints given are P= 76, L=20 so 2L=40

76=40+2w
76-40=2w
36=2w
18=w

8 0

3 years ago

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