The terminal side of θ passes through the point (10, 6). What is the exact value of cos θ in simplified form?

Answer:

The chord is 10cm from the center of the circle

Step-by-step explanation:

Here, we want to find the distance of the chord from the center of the circle

A line from the center to the chord will

divide the chord into two parts

each will have a measure of 48/2 = 24 cm

So now we have a right/angled triangle with hypotenuse of 26

To find the height, we use Pythagoras’ theorem which states that the sum of the squares of the other sides equal the square of hypotenuse

h ^2 + 24^2 = 26^2

h^2 = (26-24)(26+24)

h^2 = 100

h = square root of 100, which is 10

Answer:

-4

Step-by-step explanation:

when the signs are different the result is negative

(+ )*( - )= ( -)

acute and acute

less then 90 degrees

Answer:

D

Step-by-step explanation:

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Answer: Choice D

The outcomes for 2 spins of a spinner with 3 sections that are numbered 1 to 3

====================================================

Explanation:

The three sections {1,2,3} are shown as the three branches for each level. There are 2 levels total. Each of the 2 levels represents a different spin. Each branch of a certain spin would then be followed to generate the outcome.

For instance, if you spin a "2" on the first spin, then you'll follow the middle branch in the upper level. If you spin a "3" on the second spin, then you'll follow the "3" branch on the lower level. Refer to the diagram below.

Answer:

20

Step-by-step explanation:

the answer your looking for is 20

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17 ← is the range of values for the third side

Answer:

x=-1

Step-by-step explanation:

4 = 2(x+3)

4 = 2x + 6

- 6 = 2x - 6

-2 = 2x

-1 = x

Good luck!

Answer:

vw= 22

Step-by-step explanation:

To find the dot product of vw, multiply the corresponding numbers and add them.

v= <3, -8, -3> w= <-4, -2, -6>

vw= (3*-4)+(-8*-2)+(-3*-6)

vw= -12+16+18

vw= 4+18

vw= 22

Answer:

Answer:

=7r−8

Step-by-step explanation:

−r+6+8r−14

=−r+6+8r+−14

Combine Like Terms:

=−r+6+8r+−14

=(−r+8r)+(6+−14)

=7r−8

Answer:

-8+7r

Step-by-step explanation:

-r+6+8r-14

find like terms

-r and 8r

6 and -14

combine them

8r-r=7r

6-14=-8

-8+7r

Answer:

So the intermediate step in question is (x - 10)² = 66

Step-by-step explanation:

Let's find out:

x² + 34 = 10x

x² - 10x = -34

x² - 20x + 100 = 66

(x - 10)² = 66

x - 10 = ± √66

x = 10  ± √66

x ≈ 18.12, 1.88

Answer:

(x-5)^2=

(x−5)

2

=

\,\,-9

−9

Step-by-step explanation:

.

Answer:

I think A not sure

Step-by-step explanation:

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

Answer:

5

Step-by-step explanation:

move the terms

collect like terms

calculate

divide both side

Answer: y = 5

Step-by-step explanation:

(step 1) -4y + 7+ 10y = -10y + 37 + 10y

6y + 7 = 37

(step 2) 6y + 7 - 7= 37 - 7

6y = 30

(step 3) Divided both sides by 6.

6y/6 = 30/6

so the answer is y = 5

Answer:

d

Step-by-step explanation:

rearrange it like an equation.

take everything else out of the middle apart from x.

make sure that what you do to the middle you do to both sides

Answer:

34

Step-by-step explanation:

23+11

Answer:

.5

Step-by-step explanation:

4x - 20 = -18

    +20 = +20

      4x = + 2

      /4  = 2/4

       x = .5  or 1/2

I hope this helped!

Answer:

3345

Step-by-step explanation:

6885-3540

The total weight of Rosie and Linda when they were born will be equal to 15 pounds 21 ounces.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given data in the question,

Weight of Rosie when she was born = 7 pounds 11 ounces

Weight of Linda when she was born = 8 pounds 10 ounces

Then, the total weight of these two will be,

= 7 pounds 11 ounces + 8 pounds 10 ounces

= 15 pounds 21 ounces

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

Answer:

the box by the yellow is 26, bottom is 14, and middle is 25 I think.

Step-by-step explanation:

Answer: 10.4 pounds

Step-by-step explanation:

In this case, we have to calculate the constant of proportionality. This can easily be gotten as:

300/48 = 6.25

Therefore, the weight of a 65-pound object weight on the moon will be:

= 65/6.25

= 10.4 pounds

Answer:

This is what brainly is for tho

Step-by-step explanation:

Answer:

1000.

Step-by-step explanation:

The Value of the 2 in 204.75, is 200.

The Value of the 2 in 103.52 is 0.02.

So to make the 0.02 become 200, you have to move the decimal point 3 spaces to the right.

Therefore, the 2 in 204.75 is 1000 times greater than the value of the 2 in 103.52.

I hope this helps!

Answer:

32

Step-by-step explanation:

4(5+3)=

20+12=

32

or

4(5+3)=

4(8)=

32

The answer is 32.

5 + 3 is 8, and since the 8 is in parenthesis, we multiply it by the 4 on the outside.

Answer:

the answer is 12.7, you add four plus 8.7

Answer:

d-4=8.7

d=8.7+4

=12.7...........

Answer:

[tex]y=32500(0.86)^{x}[/tex]

Step-by-step explanation:

General exponentially depreciating function is given as

[tex]y= a(1-b)^{x}[/tex]------------(1)

Where a is initial value, b is percent depreciation/unit time  and x is time

Here

[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]

Substituting above values in equation (1)

[tex]y=32500(0.86)^{x}[/tex]

At x=0

[tex]y=32500(0.86)^{0}\\y=32500[/tex]

At x=1

[tex]y=32500(0.86)^{1} \\y=27950[/tex]

Answer: b= 45

Step-by-step explanation:

Step 1: Subtract 5b from both sides.

2b+23−5b=5b−112−5b

−3b+23=−112

Step 2: Subtract 23 from both sides.

−3b+23−23=−112−23

−3b=−135

Step 3: Divide both sides by -3.

−3b /-3 = -135/-3

Answer:

I believe the answer is (9, 3)

Step-by-step explanation:

x axis: |  3  |  6  | 9  |  12 |  etc. |

y axis: |  1  |  2  |  3  |  4  |  etc. |

Answer:

(9,3)

Step-by-step explanation:

-_-

Answer:

4/5 cups

Step-by-step explanation:

Given :

A punch requires ;

4 cups of crandbarry juice = 5 gallons of punch

Thus number of cups of cranberry required to make1 gallon of punch = x

4 cups = 5 gallon

x cups = 1 gallon

Cross multiply

5x = 4

x = 4/5

Thus 4/5 cups of crandberrey is required to make 1 gallon of punch

Answer:

x = 8

Step-by-step explanation:

Using the exterior angle theorem, we know that y = 90 + 6x, and y also equals  180-(5x+2)

So we can write an equality statement

90+6x=180-(5x+2)

Open parenethesis

90+6x=180-5x-2

Same to both sides

6x = 88 - 5x

11x = 88

x=8

Check work:

11x + 2 = 90

88+2 = 90

90 does equal 90.

Let me know if you have any questions

Answer: Choice C

x intercept is (4,0)

y intercept is (0,2)

=======================================================

Work Shown:

To find the x intercept, we plug in y = 0 and solve for x

2x+4y = 8

2x+4(0) = 8

2x+0 = 8

2x = 8

x = 8/2

x = 4

We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.

This is the location where the graph crosses the x axis.

--------------

The y intercept is a similar story, but we use x = 0 to find y.

2x+4y = 8

2(0)+4y = 8

0+4y = 8

4y = 8

y = 8/4

y = 2

The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.

This is the location where the graph crosses the y axis.

here is the answer simple as that