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ololo11 [35]
2 years ago
12

mr.wilkinson pours 2 cups of blue paint into a jar for each art station. How many jars can he fill with 1 gallon of blue paint

Mathematics
1 answer:
uysha [10]2 years ago
7 0

Answer:1 jar = 2 × 8 = 16 ounces. So, number of jars required to fill 1 gallon of blue paint is : Therefore, 8 jars are required to fill 1 gallon of blue paint.

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How do you find the distance of two points on a graph
krek1111 [17]
By using the distance formula
8 0
3 years ago
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What coordinates on the unit circle are associated with the angle measure?
Varvara68 [4.7K]

The tangent of the given angles are the ratios <em>y</em> to the <em>x</em> coordinate of

the point of the terminal side on the unit circle.

The correct options are;

  • \dfrac{34 \cdot \pi}{3} \Longleftrightarrow \underline{ \left(-\dfrac{1}{2}, \ -\dfrac{\sqrt{3} }{2} \right)}

  • -\dfrac{7 \cdot \pi}{4} \Longleftrightarrow \underline{ \left(\dfrac{\sqrt{2} }{2}, \ \dfrac{\sqrt{2} }{2} \right)}

  • 210^{\circ} \Longleftrightarrow \underline{ \left(-\dfrac{\sqrt{3} }{2}, \ -\dfrac{1}{2} \right)}

<h3>How to find the points on the unit circle</h3>

The tangent of an angle is given as follows;

tan (\theta) = \mathbf{ \dfrac{Opposite}{Adjacent}} = \dfrac{\Delta y}{\Delta x}

First angle

An angle given is; \mathbf{\dfrac{34 \cdot \pi}{3}}

Therefore;

tan \left(\dfrac{34 \cdot \pi }{3} \right) = \mathbf{ \sqrt{3}}

The above result can be obtained as follows;

\sqrt{3}  = \mathbf{ \dfrac{-\dfrac{\sqrt{3} }{2} }{-\dfrac{1}{2} }}

Which is obtained when we have;

\left( \Delta x, \, \Delta y\right) = \mathbf{\left(-\dfrac{1}{2}, \, -\dfrac{\sqrt{3} }{2} \right)}

Therefore

The required coordinates is therefore;

  • \dfrac{34 \cdot \pi}{3} \Longleftrightarrow \left(-\dfrac{1}{2} , \ -\dfrac{\sqrt{3} }{2} \right)

Second angle

The angle, \mathbf{-\dfrac{7 \cdot  \pi}{4}}, gives; tan \left(-\dfrac{7 \cdot \pi}{4} \right) = 1

The above value can be obtained as follows;

\mathbf{\dfrac{\dfrac{\sqrt{2} }{2} }{\dfrac{\sqrt{2} }{2} }}  = 1

Which gives;

  • -\dfrac{7 \cdot \pi}{4}  \Longleftrightarrow \left(\dfrac{\sqrt{2} }{2}, \, \dfrac{\sqrt{2} }{2} \right)

Third angle

The angle 210° gives; tan(210°) = \mathbf{\frac{1}{\sqrt{3} }}, which can be obtained as follows;

\sqrt{ \dfrac{1}{3} } = \mathbf{\dfrac{-\dfrac{1}{2} }{-\dfrac{\sqrt{3} }{2} }}

Therefore;

  • 210^{\circ} \Longleftrightarrow \left(-\dfrac{\sqrt{3} }{2}, \ -\dfrac{1}{2} \right)

Learn more about the unit circle here:

brainly.com/question/1673530

6 0
2 years ago
Find the perimeter of a right triangle with a leg of 8 cm and a hypotenuse of 17 cm.
Nookie1986 [14]

Answer:

40cm

Step-by-step explanation:

1. To find the missing leg, use the Pythagorean theorem a²+ b² = c² and substitute the numbers a² + 8² = 17².

2. So a = 15 since 17²-8² = 289 - 64 =225 and the square root of 225 is 15

3. Now that all the lengths have been found. So the perimeter of the right triangle is 40cm.

4 0
3 years ago
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there are 3 seniors for every 2 juniors in the concert choir. if there are 21 seniors in all, how many jurors are in the concert
Oxana [17]

The ratio ...

... seniors : juniors = 3 : 2

can be multiplied by 7 to get

... = 21 : 14

indicating there are 14 juniors for the 21 seniors in the choir.

3 0
3 years ago
How to find the area?????????????
Illusion [34]
Area of a triangle = 1/2 b•h

A = 1/2 b • h
A = 1/2 (10 cm • 9 cm)
A = 1/2 (90 cm^2)
A = 45 cm^2.
8 0
2 years ago
Read 2 more answers
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