Carlos walked 10 miles at an angle of 20° north of due east. To the nearest hundredth of a mile, how Far East, X, is Carlos from his starting point?

Step-by-step explanation:

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Answer:

She need to make 98 on the last assignment.

Step-by-step explanation:

Average = 92

x = mark on last assignment

(88 + 97 + 91 + 86 + x) / 5 = 92

To solve for x...multiply 5 on each side

(88 + 97 + 91 + 86 + x) / 5 * 5 = 92*5

This would get of / 5 so you don't need to divide by 5

362 + x = 460

Subtract 362 from each side

x = 98

Answer:

Step-by-step explanation:

Answer:

I believe the answer is $1,742.12

Sorry if im wrong!

Answer:

10 ,22

Step-by-step explanation:

i think so.................

Answer:

ok

Step-by-step explanation:

7mean

12median

12mode

14range

15 range

no mode

13.5median

13mean

range 12

18 mean

17 median

no mode

no mode

19 mean

18 median

21 range

Answer:

21 quizzes

Step-by-step explanation:

3 quizzes per week 9÷3=3

7 weeks = 3×7 so 21 quizzes

Answer:

21 quizzes

Step-by-step explanation:

What we know:

- Hayley takes 9 quizzes in 3 weeks

What we want to find:

- The number of quizzes Hayley would've taken after 7 weeks

We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:

9÷3=3

Therefore, every week, Hayley takes 3 quizzes.

Now, we multiply 3 by 7:

3×7=21

Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.

I hope this helps!

Answer:

135

Step-by-step explanation: 9x15=135

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/15

Decimal Form:

0.06

Answer:

1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.

2.) The product of 5 and 1/2  is less than 5, this is because you are multiplying 5 by a number less than one.

Step-by-step explanation:

If multiplied by a number less than one then it will be smaller than original

If multiplied by one will be the same as original

If multiplied by a number greater than one it will be greater than original

Answer:

it would be 35% and as a decimal its 0.35

Step-by-step explanation:

hope that helps

Answer:

35%

Step-by-step explanation:

7/20 = 35/100 (you multiply by 5)

35/100 = 35%

Answer:

a) 6n + 12

Step-by-step explanation:

Next three consecutive integers are :  2n + 2 , 2n + 4 , 2n + 6

2n + 2 + 2n +4 +2n +6 = 2n+ 2n + 2n + 2 + 4 + 6

                                    = 6n + 12

Answer: width = 1.1 meters

Step-by-step explanation:

The length of Rectangle garage =6.6m

Width = 6 times shorter than length

Therefore width = 6.6/ 6

= 1.1 m

Answer:

1.1

Step-by-step explanation:

Answer:

First box: 3, second box: 50, third box: 2

Step-by-step explanation:

5 x 3/5 = 3 (the whole number 5 and the denominator of 5 cancel each other out)

5 x 10 = 50

5 x 2/5 = 2 (the whole number 5 and the denominator 5 cancel each other out)

Answer:

Each dimension increased by 3 ft.

Step-by-step explanation:

Area of the original rectangle = 4 * 6 = 24 square feet

Increased dimension = x ft

New length = 6 + x

New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

                = 24 + 6x + 4x + x²

                = x² + 10x + 24

New area = 24 + 39

x² + 10x + 24 = 63

x² +10x + 24 - 63 = 0

x² + 10x  - 39 = 0

x² + 13x - 3x  - 3*13 = 0

x (x + 13) - 3(x + 13) = 0

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3

Given:

In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.

To find:

The length of AC.

Solution:

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Using Law of Sines, we get

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]

[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]

[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]

[tex]C\approx 36.86^\circ[/tex]

Using angle sum property, we get

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]

[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]

[tex] \angle B =62.14^\circ [/tex]

Now,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]

[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]

[tex]b\approx 12.08[/tex]

Therefore, the length of AC is 12.08 cm.

Answer

7:4

Step-by-step explanation:

Answer:

1238

Step-by-step explanation:

hindi ko alam ask mo nalang sa mama mo hahaha baka sakaling alam niya yung sahot na tinatanong mo hahaha

Answer:

Step-by-step explanation:

1. C(10)=35  is the percentage of homes using only cell phone service 10 years after 2004, that is, after 2014.

2. C(x) = 10  is the percentage of homes using only cell phone service x years after 2004.  We must find x.

3. how is C(10) different from C(x) = 10?

In C(10), 10 measures time in years and is the independent variable here; C10) is the dependent variable.  See (2), above.  In C(x), x is the (unknown) independent variable, whereas 10 is the output vaue, the dependent variable.

Answer:

the graph on the bottom left

Step-by-step explanation:

outliers are points that are away from the cluster of points in the bottom left graph all of the points are grouped up therefor the bottom left graph is the correct answer

Answer:

0.50 c

Step-by-step explanation:

Answer: 0.50c

Step-by-step explanation:

divide

Answer:

36.37 %

Step-by-step explanation:

i did not see any equations to choose from but this would work:

((30 - 22) ÷ 22) · 100

Step-by-step explanation:

15/4 ÷ 5/8

15/4×8/5

3×2

=6

Answer:

6

Step-by-step explanation:

Answer:

A = 3.14

Step-by-step explanation:

A = π[tex]r^{2}[/tex]

A = 3.14 x [tex]1^{2}[/tex]

(diameter = 2)

(remember, radius is half of the diameter)

(radius = 1)

A = 3.14