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4 years ago

Write the expression sin 37 degrees in terms of cosine.

Mathematics

1 answer:

sergiy2304 [10]4 years ago

7 0

Answer:cos(53), cos 53 degrees

Step-by-step explanation: sin(angle)= cos(90-angle)

sin(37)=cos(90-37)=cos(53)

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Claire jogs 6 miles per hour and Megan jogs 5 miles per hour. they start together at their campsite and jog to an outpost 18 mil

horrorfan [7]

Answer:

16.364 miles

Step-by-step explanation:

Speed of Claire = 6 miles per hour

Speed of Megan= 5 miles per hour

Distance from camp site to out post = 18 miles

Time for Claire to travel=18/6= 3 hours

Time for Megan to travel = 18/5 = 3.6 hours

The time they meet will be equal

Claire distance= 18 + x

Megan distance = 18-x

Claire time =( 18+x)/6

Megan Tim =( 18-x)/5

(18+x)/6 =(18-x)/5

5(18+x)= 6(18-x)

90 +5x = 108-6x

11x=18

X=18/11

X=1.636 Miles

So the distance from the Outpost to where they meet = 18-1.636

= 16.364 miles

6 0

3 years ago

PLEASEEEEE HELPPPP ASAPAPPAPPAP

son4ous [18]

Answer:

B. Add 2/5 to both sides

Step-by-step explanation:

Yuu have to add because it says subtract. inverse operations

3 0

3 years ago

Read 2 more answers

Which letter is a good estimation of 55 on the number line? A) B) C) D)

Andru [333]

B im sure is the correct answer.

5 0

4 years ago

Read 2 more answers

I’m new to this app! And i really need help.. PLEASE HELP!!!!!

aalyn [17]

Step-by-step explanation:

a) $x^2 - 5x + 4 = (x - 1)(x - 4)$

b) $x^2 - 10x + 9 = (x - 1)(x - 9)$

c) $x^2 - 16x + 64 = (x - 8)^2$

8 0

3 years ago

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for th

laiz [17]

Answer:

Correct option: (C) 91.

Step-by-step explanation:

To predict the score received by a student if the number of hours studied is 7 can be done using a regression line.

The general form of a regression line is:

$y=\alpha +\beta x$

Here,

Y = dependent variable

X = independent variable

α = intercept

β = slope

The formula to compute the slope and intercept are:

$\alpha =\frac{\sum Y.\sum X^{2}-\sum X\sum XY}{n.\sum X^{2}-(\sum X)^{2}}$

$\beta=\frac{n.\sum XY-\sum X\sum Y}{n.\sum X^{2}-(\sum X)^{2}}$

Consider the table below.

Compute the value of α as follows:

$\alpha =\frac{\sum Y.\sum X^{2}-\sum X\sum XY}{n.\sum X^{2}-(\sum X)^{2}}=\frac{(773\times 208)-(42\times 3406)}{(10\times 208)-(42)^{2}}=56.114$

Compute the value of β as follows:

$\beta=\frac{n.\sum XY-\sum X\sum Y}{n.\sum X^{2}-(\sum X)^{2}}=\frac{(10\times 3406)-(42\times 773)}{(10\times 208)-(42)^{2}}=5.044$

The regression equation is:

$y=56.114+5.044\ x$

For x = 7 compute the value of y as follows:

$y=56.114+5.004\ x\\=56.114+(5.044\times 7)\\=91.422\\\approx 91$

Thus, the score received by a student who studied 7 hours is 91.

The correct option is (C).

4 0

4 years ago