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RUDIKE [14]
3 years ago
15

A ship travels due north for 100 miles from point C to point A. From point A the ship travels to point B at 60° east of north. F

rom point B, the ship returns to point C heading 45° west of south. What approximate distance did the ship travel from point A to point B? How far does it travel in total?
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

AandB=80miles

Total=240miles

Step-by-step explanation:

Draw the figure first indicating the figures then find the distance each degrees then find the total

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Find two postive numbers such that the ratio of the two numbers is 5 to 3 and the product of the two numbers is 540.
svet-max [94.6K]

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

8 0
2 years ago
Read 2 more answers
Complete the table by filling in the elapsed tine.<br> Help pls
Sav [38]

Answer:

RADIUS

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

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

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

#CarryOnLearning

7 0
2 years ago
Read 2 more answers
Find the f^-1(x) and it’s domain
borishaifa [10]

Answer:

f^{-1}(x) = (x + 8)^2

x \ge -8

Step-by-step explanation:

Given

f(x) = \sqrt x - 8

Solving (a): f^{-1}(x)

We have:

f(x) = \sqrt x - 8

Express f(x) as y

y = \sqrt x - 8

Swap x and y

x = \sqrt y - 8

Add 8 to both\ sides

x + 8 = \sqrt y - 8 + 8

x + 8 = \sqrt y

Square both sides

(x + 8)^2 = y

Rewrite as:

y = (x + 8)^2

Express y as: f^{-1}(x)

f^{-1}(x) = (x + 8)^2

To determine the domain, we have:

The original function is f(x) = \sqrt x - 8

The range of this is: f(x) \ge -8

The domain of the inverse function is the range of the original function.

<em>Hence, the domain is:</em>

x \ge -8

3 0
3 years ago
if 42 percent of all people working in the United States are baby boomers, how many were working in 2016? if 15 percent of the b
natka813 [3]

Answer:

https://www.pewresearch.org/fact-tank/2019/07/24/baby-boomers-us-labor-force/

Step-by-step explanation:

here is an article about this.

8 0
2 years ago
Three times a number, X, increased by four is equal to five times the number, x. Which equation can be used to solve for x
WITCHER [35]

Answer:

Step-by-step explanation:

Three times a number x :  3x

Three times a number x increase by 4:  3x +4

Five  times the number x: 5x

5x = 3x +4

Subtract 3x from both the sides.

5x - 3x = 3x +4 - 3x

2x = 4

Divide both sides by 2

2x/2 = 4/2

x=2

The number is 2

4 0
3 years ago
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