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3 years ago

PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!

Mathematics

2 answers:

Talja [164]3 years ago

5 0

Hello again, hehelol12.

PQ is equal to CB. So the length of PQ must be 9.

Angle PQR is equal to CBA. Therefore the measure of angle PQR is 46.

I hope this helps!

Nata [24]3 years ago

4 0

Step-by-step explanation:

since they are congruent triangles, all your have to done is the compare the longest side of the first triangle is equal to that of the other; the smallest side of the first triangle is equal to that of the second, and so for the corresponding angles

using the above method,

Answer:

a) from mere observation line PQ is the longest therefore it is equal to the length of the longest side of the other triangle. so line PQ = 9

b) again, ang PQ is the smallest, using the method, ang PQ = 46 degrees

but mind you, you could use a ruler to measure the length to find the longest more accurately.

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What would be the volume of (a) air (b) plastic in a ball with 25cm diameter made from plastic 2mm thick?

morpeh [17]

Answer:

Part a) The volume of the air is $V=7,794.78\ cm^{3}$

Part b) The volume of the plastic is $V=386.45\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the complete ball (air +plastic)

we have

$r=25/2=12.5\ cm$ ------> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (12.5)^{3}$

$V=8,181.23\ cm^{3}$

step 2

Find the volume of the air

we have that

The plastic is 2 mm thick

Convert to cm

2 mm=2/10=0.2 cm

The radius of the interior of the ball is

$r=12.5-0.2=12.3\ cm$

substitute

$V=\frac{4}{3}\pi (12.3)^{3}$

$V=7,794.78\ cm^{3}$ -----> this is the volume of the air (interior of the ball)

step 3

Find the volume of the plastic

we know that

The volume of the plastic is equal to the volume of the complete ball minus the volume of the air

$8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}$

3 0

3 years ago

Read 2 more answers

I need help on these questions please

Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

For angle A as a reference angle,

Opposite side of ∠A → BC

Adjacent side of ∠A → AC

Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

tan(72°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(72°) = $\frac{12}{x}$

x = $\frac{12}{\text{tan}(72)}$

x = 3.899

x ≈ 3.9

3). By using sine rule in ΔKNM,

tan(x°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

tan(x) = $\frac{20}{58}$

x = $\text{tan}^{-1}(\frac{20}{58} )$

x = 19.03

x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

tan(70°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(70) = $\frac{60}{x}$

x = $\frac{60}{\text{tan}(70)}$

x = 21.838

x ≈ 21.8

7 0

3 years ago

Simplify square root of 1008 ( V` Represents the square root sign.)

Alexus [3.1K]

So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
$\sqrt{xy}= \sqrt{x} \sqrt{y}$ so
$\sqrt{1008}= (\sqrt{2*2}) (\sqrt{2*2}) (\sqrt{3*3}) (\sqrt{7})$ =
2*2*3* $\sqrt{7}$ =
12√7

the answer is B

5 0

3 years ago

Explain how to draw a circle with a circumference of π2 inches. OPTIONS : The circle has a diameter of π2 inches, so use a diame

WINSTONCH [101]

Answer:

he circle has a radius of π inches, so use a radius of about 3.1 inches.

Step-by-step explanation:

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2nr

n = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

If diameter = n2

diameter = 3.14 x 2 = 6.28

Radius = 1/2 x diameter = 6.28/2 = 3.1

4 0

2 years ago

Harold bought 20 toys for his nieces and nephews. The least expensive toy cost $6.19, and the most expensive toy cost $9.81. Whi

nikklg [1K]

Answer:

160 dollars

Step-by-step explanation:

So you would add 6.19 and 9.81 together. Then divide it by 2. You would get 8. Then multiply it by 20 and you would get 160 dollars

8 0

3 years ago