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Dmitry_Shevchenko [17]

3 years ago

9

Lea walked 1/2 miles in 1/3 hours. How long will it take Lea to walk 2 1/4 miles? Enter your answer as a mixed number in simples

t form.

2 answers:

xeze [42]3 years ago

7 0

Takes her 20 minutes to walk 1/2 a mile
<span>2 miles=80 minutes </span>
<span>1/4= 10 minutes i think </span>
<span>so 80+10=1 1/2 </span>

Trava [24]3 years ago

5 0

1/3 of an hour is 20mins
multiply 1/2mile*2
and 20mins*2
1mile in 40mins.
1*2.25
40*2.25=90mins
2 1/4 miles in 90mins or an hour and a half
That could also be writen as
2 1/4 miles in 3/2 hours or 1 1/2 hours

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Monica [59]

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5 0

3 years ago

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

or

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

or

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

3 years ago

In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on r

DaniilM [7]

The correct answer is that the angles created are equal.

The steps given are used to create an angle bisector of the angle. That means it divides the angle into 2 congruent angles.

6 0

3 years ago

The ratio of the number of boys to the number of girls inn math club is 4 to 3 there are 36 girls in math club how many boys are

Kay [80]

Answer:

48 boys

Step-by-step explanation:

Since the ratio of Boys to Girls is 4/3, set this equal to X number of boys/36. Cross multiply so 36*4=144, and 3*x= 3x. So now you have 144=3x, divide by 3 to get x=48 boys.

4 0

3 years ago

Read 2 more answers

zheka24 [161]

Answer:

a

Step-by-step explanation:

4 0

3 years ago