1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth

a. sinθ=−0.763; tanθ=−1.181

b. sinθ=−0.763; tanθ=−0.847

c. sinθ=0.763; tanθ=0.847

d. sinθ=0.763; tanθ=1.181


2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate

a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.

b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.

Answers

Answer 1

Answer:

d.) sinθ=0.763; tanθ=1.181

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

Step-by-step explanation:

Given that:

θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.

Cosθ = 0.646

Θ = Cos^-1(0.646)

θ = 49.75930

Hence,

Tanθ = tan(49.75930) = 1.1816365 = 1.182

Sinθ = sin(49.75930) = 0.7633373 = 0.763

2.)

Let

Walking rate = x mph

Running rate = x + 4 mph

21 miles run time = 9 miles walk time

Recall :

Time = distance / speed or rate

21 / (x + 4) = 9 / x

Cross multiply :

21 * x = 9(x + 4)

21x = 9x + 36

21x - 9x = 36

12x = 36

x = 36 /12

x = 4 mph = walking rate

Running rate = x + 4 = 4 + 4 = 8 mph


Related Questions

Write an algebraic expression for the phrase 6 times Z

Answers

Answer:

6z

Step-by-step explanation:

The answer would be 6z = y

Help ASAP please. I’ll give you brainliest

Answers

Answer:

x= -83.4

830÷50= 16.6

17 coaches would be needed

£5,850

Answer:

x=1660

the value of 830÷50 is 16.6

it will take 5850 to hire 13 coaches

999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6

=
$7.74
9

start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x

=
$7.74
9

start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9

=
$7.74
x

start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction

(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6

=
9
$7.74

start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction

(Choice E)
E
None of the above

Answers

Oh yeah lol I did it on the cross and I thought it was

Answer:

A= 6/x=9/$7.74

Step-by-step explanation:

Khan Academy

Is 4/5 greater than 9/19

Answers

Yes. I just did this question on a test actually

Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours​

Answers

Answer:

Step-by-step explanation:

Answer: 150 sandwhiches

Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30

What is 8 2/5 minus 5/8

Answers

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

Can someone please help!!!!

Answers

Answer:

2/5

Step-by-step explanation:

since the denominators are the same, the question is basically -4+6, which is 2.  But remember to include the denominator

Pls answer ASAP I will give brainliest answer

Answers

Answer:

34.328125

Step-by-step explanation:

Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2

Answers

6 4/5 as improper fraction is 34/5

5 3/4 as improper fraction is 23/4

3 1/3 by 25/4 is 8/15

14/3 by 3 1/2 is 4/3

3 1/4 by 5 1/2 is 13/22

Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm

Answers

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Find the midpoint of points A(-8, 2) and B(-5, 10)

Answers

Answer:

-40×20

= -40/20

= -2

Step-by-step explanation:

why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics

Answers

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

!! PLEASE help !

Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .

Answers

Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).

For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day


Melanie earns $7 per hour when she
baby-sits. An equation for this relation
is w = 7h, where h represents the
number of hours and w represents
Melanie's wage in dollars.
a) Use the equation to create a table
of values.
b) In one week, Melanie earned $105.
How many hours did she baby-sit?
c) In one month, Melanie baby-sat for
24 h. How much did she earn
from baby-sitting in that month​

Answers

Answer:

A) We know that she make $7 per hour, with this we can make a table:

1hr | $7

2hr | $14

3hr | $21

etc...

B)  If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs

C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168

Hope that helped!

Solve.
X = -7
4x - 4y = 12
(x,y)

Answers

Answer:

(-7, -10)

[tex]x=-7\\y=-10[/tex]

Step-by-step explanation:

[tex]4x-4y=12[/tex]

Substitute x for -7.

[tex]4(-7)-4y=12[/tex]

Multiply 4 by -7.

[tex]-28-4y=12[/tex]

Add 28 on both sides.

[tex]-4y=40[/tex]

Divide -4 on both sides.

[tex]y=-10[/tex]

what is the answer to 2(1-x)=11

Answers

Answer:

-9/2 in exact form but -4.5 in decimal form

Answer:

x=-4.5

Step-by-step explanation:

distribute

2(1-x) = 11

2-2x=11

combine like-terms

-2x = 9

isolate x and divide out the negative

-2x/-2 = 9/-2

x = -4.5

Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38

Answers

20+2•(5+4^1) keep in mind of PEMDAS, so solve in the order P: Parentheses E: Exponents(in this case you would solve the exponent before the parentheses M: Multiplication D: Division A: Addition S: Subtraction

giving branliest, 7th grade math

Answers

Answer:

1/3

Step-by-step explanation:

Total number of outcomes = 3

Possible outcomes = 1

probability = possible outcomes/ total number of outcomes = 1/3

HOPE THIS HELPS YOU

Answer:

1/3

............................

mando vs boba fett who would win

Answers

mando for sure, he won

Answer:

1 BEAT: Boba Fett

Step-by-step explanation:

This is a fight Mando wins, hands down. ... Boba grew up during the Clone Wars and became a renowned bounty hunter like his father.

What is the exponential expression for the numerical expression ​3⋅3⋅3⋅3​ ? ​43​ 4⋅34 ​124​ 34

Answers

They are all even numbers or in order or skipping by one

What is the simplified form of
72x16/50x36 ? assume x ≠ 0

Answers

Answer:

Option A

Step-by-step explanation:

[tex]\sqrt{\frac{72x^{16} }{50x^{36} } } = \sqrt{\frac{36x^{16} }{25x^{36} } } = \frac{\sqrt{36x^{16} } }{\sqrt{25x^{36} } } = \frac{\sqrt{36} \times \sqrt{x^{16} } }{\sqrt{25} \times \sqrt{x^{36} } } = \frac{6x^{8} }{5x^{18} } = \frac{6}{5} \times x^{8-18} =\frac{6}{5} \times x^{-10} = \frac{6}{5x^{10} }[/tex]

1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.

Answers

the more money u make, the more taxes u have to pay

Answer:

the answer is 2

Step-by-step explanation:

Which decimal is greater than 0.15 and less than 0.7?
A. 0.81
B. 0.56
C. 0.76
D. 0.005​

Answers

Answer:

B. 0.56

Step-by-step explanation:

A. 0.81  > 0.7

B. 0.56  < 0.7 & 0.56 > 0.15

C. 0.76  > 0.7

D. 0.005​ < 0.15

Find the slope of the line.

3,2 6,3

Answers

the slope is 1/3 or m=1/3

Someone please help ASAP

Answers

The answer to this question is Yes, No, Yes, No

Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards
she sawed?

PLS HELP

Answers

4.5 Meters

9/10th of 1 Meter is 0.9M
0.9M times 5 (the number of boards) = 4.5M

good luck <3

19 - k = 4.




I need help​

Answers

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.

Answers

Answer:

25 presents.

Step-by-step explanation:

First subtract 2.7(4) from 30.

30 - 2.7(4) = 19.2 meters

Now, convert 19.2 into centimeters.

There's 100cm in 1m, so 19.2 meters can be found by doing:

19.2 x 100 = 1920 cm.

Now, do 1920 divided by 75:

1920/75 = 25.6

Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.


[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]

Answers

Answer:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8)  .... remainder  7x+8

Step-by-step explanation:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder  7x+8

Use long division method

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