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Law Incorporation [45]
3 years ago
15

Franco read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he r

ead in 1 hour?
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

He can read 1\frac{7}{8} chapters of his history book in 1 hour.

<em><u>Explanation</u></em>

Franco read 3/8 of a chapter of his history book in 1/5 of an hour.

Suppose, he can read x chapters of his book in 1 hour at this rate.

So, the equation according to the <u>ratio of 'the chapter to the time'</u> will be....

\frac{x}{1}= \frac{\frac{3}{8}}{\frac{1}{5}}\\ \\ \frac{x}{1}=\frac{3}{8}*\frac{5}{1}\\ \\ \frac{x}{1}=\frac{15}{8} \\ \\ x= \frac{15}{8}= 1\frac{7}{8}

So, he can read 1\frac{7}{8} chapters of his history book in 1 hour.

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How do you find the length of an arc
marysya [2.9K]
The total length around the circle = 2 pi r = 2*pi*16 = 32 pi 

Total degrees around the circle = 360 so 

length of the arc of measure 270  = 32 pi * 270/360 =  24 pi  units

or 75.40 units to the nearest hundredth
3 0
3 years ago
Instructions: Find the measure of the indicated angle to the nearest degree.
sweet-ann [11.9K]

The measure of the indicated angle to the nearest degree is 47°.

<h3>What is the measure of the angle?</h3>

Given the data in the question;

  • Adjacent = 36
  • Hypotenuse = 53
  • Angle θ = ?

From trigonometric ratio, Cosθ = Adjacent / Hypotenuse

Cosθ = 36/53

θ = cos⁻¹( 36/53 )

θ = 47°

Therefore, the measure of the indicated angle to the nearest degree is 47°.

Learn more about trigonometric ratio here: brainly.com/question/28016662

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4 0
2 years ago
A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
⭐️ Does anyone know this?!
ladessa [460]
Vertical stretch by 2 units.

B
6 0
3 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
ahrayia [7]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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