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2 years ago

Sara uses 4/6 spoon of milk and 3/2 of sugar to make tea. How much more milk did se use?

Mathematics

1 answer:

iogann1982 [59]2 years ago

5 0

Sara is going to use a half of cup of milk

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Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago

Michael has 2 meters of yarn. she needs to cut the yarn into 10 equal pieces. how long will each price of yarn be? A.) 20 cm B.)

Karolina [17]

2 meters is equal to 200 centimeters
Divide 200 by 10
200/10 = 20cm

Each piece will be 20 cm long
So your answer is A

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3 years ago

Two roots of a third degree polynomial function f(x) are 4 and 4. Which statement describes the number and nature of all roots

VladimirAG [237]

Answer:f(x) has three real roots

Step-by-step explanation:

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2 years ago

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The length of a picture frame is (8u - 12) inches. It’s width is 3/4 of its length. Express the width of the picture frame in te

dezoksy [38]

3/4(8u-12)..................

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2 years ago

If mABD, what are mABC and mDBC?

Sedbober [7]

Answer:

Step-by-step explanation:

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2 years ago