4.Write an expression for the speed of the boat coming back from the island in terms of the
other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)

Answer:

c. 80

Step-by-step explanation:

cos x = sin(x-70)

cos x = cos [90-(x-70)]

cos x = cos (90-x +70)

cos x = cos 160 -x

x= 160-x

2x = 160

x =80

Scale factor is  [tex]\frac{14}{21}[/tex].

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

Given

The rectangle on the right is a scaled copy of the rectangle on the left.

[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]

[tex]\frac{42}{63}[/tex]

Rationalizing [tex]\frac{42}{63}[/tex] by 45

= [tex]\frac{42(45)}{63(45)}[/tex]

= [tex]\frac{1890}{2835}[/tex]

15 ÷ [tex]\frac{45}{2}[/tex]

Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63

= [tex]\frac{30(63)}{45(63)}[/tex]

=  [tex]\frac{1890}{2835}[/tex]

If we want to find the scale factor we have to equal the proportions of two rectangles.

∴ Scale factor =  [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]

Hence, scale factor is  [tex]\frac{14}{21}[/tex].

Find out more information about scale factor here

https://brainly.com/question/22312172

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Answer:

72.42 kilometers per hour

Answer:

a) The vector equation

[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]

b) The vector equation

  [tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]

Step-by-step explanation:

Step(i):-

a)

Given that the points are A( 6,5,7) and B = m = 2i+5j-k

OA = 6i+5j+7k and OB = 2i+5j-k

AB = OB-OA

    =  2i+5j-k - (6i+5j+7k)

    = 2i -6i +5j-5j-k-7k

   =  [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]

b)

Given that the points are A( 8,6,2) and B = (3,4,1)

OA = 8i+6j+2k and OB = 3i+4j+k

AB = OB-OA

     = 3i+4j+k -(8i+6j+2k)

    = 3i -8i +4j-6j+k-2k

    =  [tex]-5i^{-} -2j^{-} -k^{-}[/tex]

Answer:

A: 7

B: 84,035

Step-by-step explanation:

The population increases by 7 each time, so 12,005x7=84035.

(Side note: I'm not completely sure what the "exponential function" is but I think the answer is correct. Check over it yourself to be sure :)

Answer:

a.  x plus 5 times 7

b. 84035

Step-by-step explanation:

Answer:

yep i am very tireddddfdf

Answer:

YEAAA I'm like super tired for no reason, even though I really didn't do anything today :/

Answer:

D

Is the answer okkkkkkkkkkkkkkkk

Answer: A regular decagon has all sides of equal length and each internal angle will always be equal to 144°.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , cotx = [tex]\frac{cosx}{sinx}[/tex]

Consider the left side

[tex]\frac{tanx}{tanx+cotx}[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }[/tex]

= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{cosxsinx}{1}[/tex] ← cancel cosx on numerator/ denominator

= sin²x

= right side

Answer:

A. 8fg + 3h

Step-by-step explanation:

[tex]4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h[/tex]

Step-by-step explanation:

[tex]4f \times 2g + 3h \\ = (4 \times 2)fg + 3h \\ = 8fg + 3h \\ [/tex]

Answer:

how to add and subtract fractions

Step-by-step explanation:

ok so we can start with adding so when you add fractions you can first start out by making the denominators the same number to make it easier so here is an example

7/9 + 3/10  you could make the denomonatiers the same or just do 9x10 and 7x10 + 3x9 and 10x9 and then if you multiply the numbers and added up all the sums you would get to fractions 70/90 + 27/90 so you add them up and science the denominators are the same you just leave them the same number so it would just be 70+27 so you would get 97/90 and because the denominator is 90 and we have 97 for the numerator 97 fits into 90 1 time with 7 left over   so the whole number would be 1 and then 7/90  

Step-by-step explanation:

Multiplying Fractions:

example: 2/3·2/3

Dividing Fractions:

example: 2/3*2/3

Combine Fractions:

example:2/3+2/3

Subtract Fractions:

example:2/3-2/3

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

Answer:

Her journey by car.

Step-by-step explanation:

3/5 is more than 3/10. I hope this helps :)

Answer:  3/10 of her journey by autorikshaw.

Step-by-step explanation:

Answer:

C, 42 degrees

Step-by-step explanation:

Considering  angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.

Answer: No, he is not correct, the correct equation is:

225 + 2*r = 1475

Solving that, we can find that each bag of raisins has 625 grams of raisins.

Step-by-step explanation:

I suppose that the problem is as follows:

"Sam had 225 grams of raisins. After buying another two bags of raisins he then had  1475 grams of raisins"

Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:

2*r grams of raisings.

Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:

225 + 2*r = 1475

This is what he should get.

and we can solve it for r, to get:

2*r = 1475 - 225 = 1250

r = 1250/2 = 625

r = 625

This means that each bag of raisins has 625 grams of raisins.

But instead, he got:

225*r + 2 = 1475

In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.

Answer:

7869

Step-by-step explanation:

   8,328

-     459

________

    7,869

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4        0.5    1

8        1        2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 1600 / ( 2000 × 10 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 1,600.00

from a principal of $ 2,000.00

over 10 years is 8% per year.

Answer:

625 students

Step-by-step explanation:

Answer:

21060

Step-by-step explanation:

19500÷100=195

195×8=1560

1560+19500=21060

Answer:

All the dots need to be on the line, and maybe dont add so many dots

Step-by-step explanation:

Answer:

A B and C are true

Step-by-step explanation:

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

9514 1404 393

Answer:

Step-by-step explanation:

We have to assume that the image of B is the large dot at upper right. We further have to assume that the distance between dots on the line segment is equal to CB.

The scale factor multiplies the distance from C. That distance has been multiplied by 5, so the scale factor is 5.

Answer:

Step-by-step explanation:

I don’t know

Answ

i dont know

Step-by-step explanation: