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3 years ago

A room in an attic has a sloping wall that makes an angle of 55° with the floor, which is parallel to the ceiling.

Mathematics

1 answer:

Burka [1]3 years ago

3 0

The measure of an angle that forms a pair of same-side interior angles with that angle will be 55 degrees

<h3>Same side interior angles</h3>

Given the following parameters from the question;

sloping angle = 55 degrees

Since the room is parallel to the ceiling, the measure of an angle that forms a pair of same-side interior angles with that angle will be equal to the sloping angle.

Hence the required measure will be 55 degrees

Learn more on same side interior here:brainly.com/question/19573841

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Find the measures of the interior angles.

Svetradugi [14.3K]

Answer:

45 degrees.

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.

We can form an equation: x+x+65+25=180

2x+90=180

2x=90

x=45.

7 0

3 years ago

A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the

grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = $\frac{4}{3}\pi r^3$

Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = $\frac{4}{3}\pi r^3$

So Volume of gumball's spherical hollow core = $\frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3$

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = $150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3$

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = $48347.6\ mm^3$

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0

3 years ago

A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did

Whitepunk [10]

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

6 0

3 years ago

a football team gained 9 yards on one play and then lost 22 yards on the next.write a sum of intergers to find the overall chang

s2008m [1.1K]

Let x be the original position.

After the first play they gain 9 yards. The position can be represented by
x + 9

After the second play they lose 22 yards. The position can be represented by
x + 9 - 22 = x - 13

Therefore, in total they lost 13 yards.

5 0

3 years ago

20 is 50% of what base

Tresset [83]

The base would be 40

5 0

3 years ago