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Tju [1.3M]
3 years ago
11

13. Mark has a board that is 12 feet long. He

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

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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
There are 196 countries in the world. How many students must be enrolled in a university to guarantee that there are at least 20
cestrela7 [59]

Answer:

At least 39200 students.

Step-by-step explanation:

Given that there are 196 countries in the world, and each country would have at least 200 students in a university.

For each country to have at least 200 students in the university, then;

Number of students enrolled in the university = number of required students x number of countries

                                      = 200 x 196

                                      = 39200

At least, 39200 students must be enrolled in the university. Provided that the admission procedures are conditioned for the purpose.

3 0
3 years ago
Factor by grouping <br> 3x^2 + 11 - 14 <br><br><br><br> plss i need help!
8_murik_8 [283]

Answer:

3x^{2}+11-14 hi

Step-by-step explanation:

4 0
2 years ago
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Find each product. (20 Points!)
rodikova [14]
Answer:
13) 10b^2a^4
14) -5y^3+35y^2-10y
6 0
3 years ago
Dennis made a scale drawing of his backyard using the scale 1/4 inch =3 feet the rectangular swimming pool was 2 inches long and
seraphim [82]
(1/4)x = 2 

x = 8 x 3 = 24 feet long

(1/4)x = 1

x = 4 x 3 = 12 feet wide

24ft x 12ft = 288ft^2
3 0
2 years ago
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