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SCORPION-xisa [38]
3 years ago
6

Josie is for a race.The ratio of the number of minutes she runs to the number of miles she runs is 24 to 3.She plans to run 10 m

iles.How many minutes will it take her?
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

80 minutes

Step-by-step explanation:

We can solve this problem using rule of three:

The ratio of number of minutes and number of miles is 24 to 3, that is, for each 24 minutes running, she runs 3 miles.

So, if to run 3 miles she needs 24 minutes, to run 10 miles, how much time she will need:

3 miles -> 24 minutes

10 miles -> X minutes

3/10 = 24/X

X = 10 * 24 / 3 = 80 minutes.

She will take 80 minutes to run 10 miles.

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A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang
Fiesta28 [93]

Answer:

114.59\°

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

In this problem we have

r=3\ cm

substitute

C=2\pi (3)=6 \pi\ cm

Remember that

360\° subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of 6\ cm

\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°

7 0
3 years ago
Write a quadratic equation in standard form.
Naya [18.7K]

Answer:

  1.  x^2 +2x -24 = 0

  2.  x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

  (x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1.  x^2 +2x -24 = 0

2.  x^2 -7x +10 = 0

5 0
2 years ago
The regular nonagon has rotational symmetry of which angle measures? Check all that apply.
11111nata11111 [884]
Consider the center of the nonagon. If we join the center to all the vertices, the central angle of 360°, is divided into 9 equal angles, each with a measure of:

360°/9=40°

So to a nonagon rotated 40°, clockwise or counterclockwise, is indistinguishable from the original one. 

similarly if we rotate 80 ° c.wise or c.c.wise 

in general, a nonagon has a rotational symmetry of 40°n,

where n∈{...-3, -2, -1, 0, 1, 2, 3}...

where 40°n, for n negative, means we are rotating clockwise.


Answer: any angle which is a multiple of 40°

8 0
3 years ago
Read 2 more answers
Given the replacement set {0, 1, 2,3 4,}, solve 6x - 3=3
IrinaVladis [17]

Answer:

1

Step-by-step explanation:

6x - 3 =3

6x =3 +3

6x =6

x=6 :6

x=1

7 0
3 years ago
2,200.00 simple interest rate of 3.4% how much money will there be in 5.5 years
Gelneren [198K]
Simple Interest = PRT
$2,200 x 0.034 x 5.5 = $411.40
2200 + 411.4 = $2611.40
7 0
3 years ago
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