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Ivenika [448]
3 years ago
5

What is the reference angle for 225° and what is a reference angle?

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
<span> the angle that the Main Angle is called reference angle
</span><span>Given angle - 180
</span><span> 225° -180
</span>=45
eference angle for 225° is 45 
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7. Stan is serving lemonade at the school's dance out of no
Lilit [14]

Answer: 540 cups

Step-by-step explanation:

Diameter = 20

Radius = 20/2=10

Volume of a cylinder: pi(r^2)h = 3600pi

Cone = (pi(r^2)h)/3 = (20pi)/3

3600pi/(20pi/3) = 540 cups

7 0
3 years ago
Read 2 more answers
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

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

Divide both sides by r

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

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
Solve.
ratelena [41]
The answer is x<6 because you have to divide 3 on both side 
4 0
3 years ago
2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point
USPshnik [31]

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>

Here, FR and DA are corresponding sides.

$\Rightarrow \frac{FR}{DA} =\frac{4}{6}

Cancel the common factors of 4 and 6, we get

$\Rightarrow \frac{FR}{DA} =\frac{2}{3}

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

7 0
3 years ago
Please help and explain :)
pentagon [3]
This question is asking which two numeric values are closer to each other. The smallest gap in between Mercury, and Helium, which is the answer
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3 years ago
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