If i take a fourth of a number away from half the number, i get 10. what is the number?

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

4 years ago

Help me with this, please! Very thankful!

Naya [18.7K]

X. Y
12 —> 4
8 —> 8/3
13 —> 13/3

Substitute x values for y.
y = 1/3(12)
y=4

5 0

2 years ago

Read 2 more answers

At the movie theatre, child admission is $5.20 and adult admission is $8.60. On Sunday, 132 tickets were sold for a total sales

xxMikexx [17]

Answer:

60 tickets for children were sold

Step-by-step explanation:

Let x be the number of sold children's tickets and let y be the number of adult tickets sold, then we can pose the following equations.

$x + y = 132$ (i) Because 132 tickets were sold in total

$5.20x + 8.60y = 931.20$ (ii) because the total of $ obtained by sales was 931.20.

We must clear x. Then we substitute (i) in (ii)

$5.20x +8.60(132-x) = 931.20$

$5.20x + 1135.2 - 8.60x = 931.20$

$-3.4x = -204$

$x = 60$

60 tickets for children were sold

7 0

3 years ago

Read 2 more answers

In the equation ax2 + bx + c = 0, if b is equal to the new equation is In solving this form of equation, we will use the princip

Sphinxa [80]

Answer:

The answer is b = ax- c/x

when i put the / it means fraction

8 0

3 years ago

Richard bought 32.4 pounds of potting soil and 45.6 pounds of sand. She got the potting soil for $0.86 per pound and the sand fo

frozen [14]

Answer:

67.00

Step-by-step explanation:

Add the numbers.

You get 67.08.

You want it rounded.

So now the answer is 67.00.

3 0

3 years ago