What is the answer to this question?

Answer:

these are triangle problems, they are difficult unless you keep in mind that there is an invisible triangle and you use the Mnemonic SOH CAH TOA to keep sin, cos, and tan,  straight..

Step-by-step explanation:

what do we know about the imaginary triangle that is being made from Susan to the lighthouse?  that from Susan's feet  to the lighthouse base is 200 m  so that side of the imaginary triangle is 200 meters.. got it... Susan's eyes are 1.22 meters up   and that her angle of looking up at the top of the lighthouse is 9 degrees.. okay .. we have enough info to solve this.  B/c we have an angle and also the adjacent ( next to )  side to that angle  , great

B/c we have the adjacent side and the angle.. and we want to know the Opposite side.. which will be the height of the light house,  use one of the SOH CAH TOA formulas for those three pieces of info in it.. I see that that TOA has all of those.  Tan(Ф)= Opp / Adj  

Tan(Ф) is our angle

Opp is the Opposite side that we want to find

Adj is the Adjacent side that we know.. 200

Tan(9)=Opp / 200

use algebra to rearrange our formula

Tan(Ф)*Adj = Opp

Tan(9)*200 = Opp

I'll use my calculator to figure out what tan(9) is b/c I don't have that memorized :P and multiply that by 200

31.677 m

Also.. b/c we just figured out the triangle from  Susan's eyes to the lighthouse.. we have to add her eye height off the ground to our answer

31.677+1.22= 32.897

yeah   32.9     looks like the right answer

Answer:

i think it is 1/3 .(-3,6 )=(1/3.-3,1/3 .6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

let F(x) be the total amount on the account

and let x be the number of monthly charges

given that

c=$343

the monthly charge is =$7

The expression for the situation is

F(x)=c-mx

F(x)=343-7x

Therefore the expression for the balance is F(x)=343-7x

Answer:

1.1217 x 10^10

Step-by-step explanation:

Since the question is Which number is larger than 1.1213 × 10^10 1.1217 x 10^10

is a number larger then 1.1213 × 10^10 because it has the same exponent as the problem in the question but 1.1217 has .0004 more then the problem in the question.

Answer:

10 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same

Step-by-step explanation:

Let the number of tickets be represented by t

Carnival M charges an entrance fee of $7.00 and $0.85 per tkcket for the rides.

$7.00 + $0.85 × t

= 7.00 + 0.85t

Carnival P charges an entrance fee of $12.00 and $0.35 per ticket for the rides.

= $12.00 + $0.35 × t

= 12.00 + 0.35t

How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same?

Carnival M = Carnival P

7.00 + 0.85t = 12.00 + 0.35t

Collect like terms

= 0.85t - 0.35t = 12.00 - 7.00

= 0.50t = 5

t = 5/0.5

t = 10 tickets.

Therefore, 10 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same.

Answer:

x=3

Step-by-step explanation:

you distribute then solve

Answer:

x = 3

Step-by-step explanation:

To solve for x, we need to distribute the 2 into the values in the paranthesis by multiplying both values within the paranthesis by the value outside the paranthesis. Doing so, we get 4x + 4 = 16

4x = 12

x =3

Answer:

Bo =6.4 hours

Step-by-step explanation:

"Jo and Bo are opening a fast food chain called Jobangles. Now together they can make a day's worth of fries in 3.2 hours. If it takes Jo 5 hours to make a day's worth of fries alone, then how long will it take Bo to make a day's worth of fries alone?"

we want to find Bo's hourly rate given the combined work rate for the both of them

given that both combined rate= 3.2hours

Jo takes 5 hours

the expression for combined work rate is

let Jo be J

and Bo be B

1/J+1/B=1/T

J+B/JB=1/3.2

5+B/JB=1/3.2

cross multiply we have

3.2(5+B)=5B

16+3.5B=5B

16=5B-3.5B

16=2.5B

B=16/2.5

B=26.4

Answer:

9 apples.

Step-by-step explanation:

The first step is to sum up the apples picked by the three friends on Saturday and Sunday.

Sum of apples picked = Saturday 13 apples + Sunday 14

= 26 apples.

The next step is to divide the above sum by the number of friends that went apple picking inoder to arrive at apples picked by each.

Number gotten by each person = 27 / 3

= 9

It therefore means that each person get 3 apples a piece.

Answer:

did anyone find the answer ?

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

7x−6=3+x−5−2x

Step 1: Simplify both sides of the equation.

7x−6=3+x−5−2x

7x+−6=3+x+−5+−2x

7x−6=(x+−2x)+(3+−5)(Combine Like Terms)

7x−6=−x+−2

7x−6=−x−2

Step 2: Add x to both sides.

7x−6+x=−x−2+x

8x−6=−2

Step 3: Add 6 to both sides.

8x−6+6=−2+6

8x=4

Step 4: Divide both sides by 8.

8x /8 = 4 /8

x= 1 /2

Answer:

0

Step-by-step explanation:

We need to factor the GCF (Greatest Common Factor).

The resulting term is a product of the GCF and the original expression divided by the GCF.

In our example, the GCF is equal to X + 2.

I'm not sure if its 0

But mine is "0"

Answer:

1224!

9+8=17

17*12=204

204*6=1224

Step-by-step explanation:

Hope this helps! Good luck! <3

Answer:

rational.

Step-by-step explanation:

Mathematically, a rational number is the ratio of an integer a to a non-zero integer b, such as 25/100, and the general rule is a/b, so it is also called a fraction. 0 is also a rational number and an integer.

the fraction for -0.25 is -25/100

Answer:

Factor 2 out 8x + 18   2(4x+9)

Thats the best i can think of

Answer: 40 mph

Step-by-step explanation:

240 mi/6 hrs = 40 mi/hour

Answer:

40

Step-by-step explanation:

Answer:

The method she would use is = Divide 2 by 6

= 2/6

= 0.3333333333333

Step-by-step explanation:

Shalina wants to write StartFraction 2 over 6 EndFraction as a decimal.

= This means we are dividing 2 by 6

= 2/6

= 1/3

= 0.3333333333333

Answer:

B

Step-by-step explanation:

Answer:

The answer would be D

Step-by-step explanation:

All other options don't result in a final value of 0. Only option D does. So thats your answer

D. The distance above sea level after increasing 24 metres from a depth of 24 metres below sea level.

Answer:

992

Step-by-step explanation:

[tex] \frac{32}{100} \times 3100 = 992[/tex]

i think this is the answer

Answer:

i think it is 19/30if it is not then sorry

Answer:

29/30

Step-by-step explanation:

For more help go to calculator soup for math help :)

Answer:

b

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

Answer:

Step-by-step explanation:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Answer:

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. ... Examination of the data for unusual observations that are far removed from the mass of data. These points are often referred to as outliers. Which explains whether or not 12 is an outlier? Twelve is not an outlier because it is less than the sum of 7 and 6.

Step-by-step explanation:

In the given dataset, twelve is not an outlier because it is less than the sum of 7 and 6.

The outlier of a dataset is the date that are distant from other values of the dataset.

Given that:

[tex]S = \{ 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12\}[/tex] --- the dataset

[tex]N = 11[/tex] -- number of observations

[tex]IQR = 4[/tex]

The position of the lower quartile of the above set is:

[tex]Q_1 = \frac{1}{4} \times (N + 1)th[/tex]

[tex]Q_1 = \frac{1}{4} \times (11 + 1)th[/tex]

[tex]Q_1 = \frac{1}{4} \times (12)th[/tex]

[tex]Q_1 = 3rd[/tex]

The 3rd element is 3. So:

[tex]Q_1 = 3[/tex]

Similarly, the position of the upper quartile of the above set is:

[tex]Q_3 = \frac{3}{4} \times (N + 1)th[/tex]

[tex]Q_3 = \frac{3}{4} \times (11 + 1)th[/tex]

[tex]Q_3 = \frac{3}{4} \times (12)th[/tex]

[tex]Q_3 = 9th[/tex]

The 9th element is 7. So:

[tex]Q_3 = 7[/tex]

The lower outlier (L) is

[tex]L = Q_1 - (1.5 \times IQR)[/tex]

[tex]L = 3 - (1.5 \times 4)[/tex]

[tex]L = 3 - 6[/tex]

[tex]L = - 3[/tex]

The upper outlier (U) is:

[tex]U = Q_1 + (1.5 \times IQR)[/tex]

[tex]U = 7 + (1.5 \times 4)[/tex]

[tex]U = 7 + 6[/tex]

[tex]U= 13[/tex]

Values from the lower to the upper outliers are not outliers.

In other words

[tex]-3, -2, -1, 0, 1, 2,......,11,12,13[/tex] are not outliers

12 is not an outlier because it is less than 13

13 is gotten from 7 + 6; as in: [tex]U = 7 + 6[/tex]

Hence, (d) is correct

Read more about outliers at:

https://brainly.com/question/12153650

Answer:

(7 + (4 * i)) - ((-9) + i) = 16 + 3i

Step-by-step explanation:

Answer:

C) 0.375

Step-by-step explanation:

Ok, so the question is to write 3/8 as a decimal. To turn a fraction into a decimal, you divide the numerator by the denominator.

3 ÷ 8 = 0.375

You can check your work by seeing if 0.375 as a fraction simplifies to 3/8

0.375 = 375/1000

Divide 375 and 1000 by 125 to get your simplified fraction, 3/8.

you add 2 to each number

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

point slope formula: y-y1=m(x-x1)

3,-4

0,-5

-1/3

y--4=m(x-3)

y+4=1/3(x-3)

y+4=1/3x-8/3

y=1/3x-20/3 ?

the correct answer is 4.05

Answer:

3.5 cups of flour per load of bread

Step-by-step explanation:

divide 14 by 4