How many radians are equal to 360 degrees 2 2pi 1 Pi

If the sun is 69° above the horizon, the length of the shadow cast by a building 91 ft tall

You should understand that the length of the shadow is the distance between a point to the foot of the tenth

This makes an angle of depression, with 69 degrees

Remember that the angle on top of the tenth is 90-69 = 21 degrees

therefore, using the trigonometrical ratio

We have Tan∅ = opposite of adjacent

Tan 21⁰ = x/9

x= 9*tan 21⁰

x = 9*0.3839

The distance is 3.45

Therefore the length of the shadow cast by a building is approximately 3.5 feet long

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Answer:

  (b)  (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

  a² -b² = (a -b)(a +b)

Your expression is recognizable as the difference of squares:

  x² -100 = x -10²

Using the above form, the factorization is ...

  = (x -10)(x +10) . . . . . . . . matches the second choice

Let's put this into variables.

A = number fo Adela's photos

R = Rachel's

S = Santo's

Adelia is 7 more than Rachel, so

A = R + 7

Santo is four times as many as Adela.

S = 4A

Santo takes 48 pictures.

S = 48 = 4A.

48/4 = 12 = A

Adela takes 12 photos.

Rachel is 7 less than Adela.

R = 12 - 7

R = 5

Answer:

17 photos

Step-by-step explanation:

You need to divided 48 by 4 to get the number of photos Aldela took.

Then you have to take away 7 from that to get 17 photos for Rachel

Please make my the brainliest ;)

Step-by-step explanation:

B. 3 :8 =6:16 is a proportion

3 : 8 = 6: 16

Divide 6 and 16 by 2 we get

3 :8 = 3 : 8

Hope it will help :)❤

Answer:

y < 1

\(( - \infty \: 1)\)

Step-by-step explanation:

8y - 5 < 3

8y < 8

y < 1

\(( - \infty \: 1)\)

Answer:

7 7/12

Step-by-step explanation:

Answer:

4 years

Step-by-step explanation:

need to see how many times 3000 can go in 24000 and count how many years tell u get 12000

hopes I helped

Answer:

4 years

Step-by-step explanation:

subtract 3000 from 24000 then 3000 from the sum of each answer till you get to 12,000

after year 1: $21,000

24,000 - 3,000 = 21,000

after year 2: $18,000

21,000 - 3,000 = 18,000

after year 3: $15,000

18,000 - 3,000 = 15,000

after year 4: $12,000

15,000 - 3,000 = 12,000

Answer:

The 99% confidence level (-0.741, -0.659).

Step-by-step explanation:

The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.

The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.

Find a 99% confidence interval for the difference between the mean weights..

The formula for 99% Confidence Interval for difference between the mean weights =

μ is the population mean, and σ is the population standard deviation.

μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2

The z score for 99% confidence interval = 2.576

30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924

-0.7 ± 2.576 × √0.36/1559 + 0.04/1924

-0.7 ± 2.576 × √0.0002309173 + 0.00002079

-0.7 ± 2.576 ×√0.0002517073

-0.7 ± 2.576 × 0.015865286

-0.7 ± 0.04086897674

Hence, the 99% Confidence Interval is

-0.7 - 0.04086897674

= -0.74086897674

≈ -0.741

-0.7 + 0.04086897674

=-0.65913102326

≈ -0.659

Therefore, the 99% confidence level (-0.741, -0.659).

Answer:

1. There are a total of 19 marbles in the bag. The probability of picking a green marble out of them is 4/19 since there are only 4 green ones. The probability of picking a brown marble after replacing what has been initially picked is 1/19. The final probability is the product of the two probabilities and that is 4/361.

2. ?

3. 60%

Step-by-step explanation:

D. 5.4 seconds

1) Since the course of that ball is described by the function h(t) = -16t² +86t +4.

So we can sketch out:

When the ball hits the ground, we'll have to find out the 2nd root of that function since when t=0, h =4. So let's find out the roots:

3) Since just the positive answer is interesting, then we can state that the answer is D (rounded off to the nearest tenth

Answer: \(4x^3-2x^2+20x-10\)

Step-by-step explanation:

(c·d)(x) means c(x)*d(x). The little circle filled in means to multiply c and d. If it was an open circle, then it would mean c(d(x)). Since the problem you stated was a closed circle, we would multiply c and d.

\((4x-2)(x^2+5)=4x^3+20x-2x^2-10\)

This answer is technically correct, but it is always better to put them in order.

\(4x^3-2x^2+20x-10\)

If this is not what the problem is asking for, meaning it was looking for (cod)(x), then let me know. I will be happy to help!

Answer:

B, C, E

Step-by-step explanation:

you need to find lines whose slope is the negative reciprocal of the slope from the line you are solving for. in this case, all lines with the slope -1/2 are Perpendicular to a line with the slope of 2

The line perpendicular to y = 2x - 8 is B. y = -(1/2)x + 1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know perpendicular lines have slopes that are negative reciprocals of each other.

The given line is y = 2x - 8.

∴ The equation that is perpendicular to it is y = -(1/2)x + 1.

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The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer:

Equation: Y=8x+9, y-intercept: (0,9)

Step-by-step explanation:

An equation is set up in the format of y = mx+b, so simply plug the appropriate numbers in for those variables.

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y   -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4  = 0

-67y^2 +270y +  4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and  -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Triangles ABC and DEF are congruent.

The letter B is the 2nd letter in 'ABC'.

Likewise, the letter E is the 2nd letter in 'DEF'.

Therefore Angle B = Angle E.

Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.

Martin now has: 6 + m

Answer:

4x - 3z + 6

Step-by-step explanation:

-2+6x+z-2x+8-4z

= 6x - 2x + z - 4z + 8 - 2

= 4x - 3z + 6

Answer:

3 eggs = 5 cups

2eggs = x flour

cross multiply

3x = 10

divide both sides by 3

x=10/3

Answer:

$5809.17

Step-by-step explanation:

Using the formula for continuous compound interest \(P(t)=Pe^{rt}\) We can plug in our values \(P(t)=5000e^{0.03*5}\) and solve.

Answer:

4.666667

or round it to 4.67

Answer: pls braiinliest :D

To find the equation of the line passing through the point (8, -2) that is perpendicular to the line y = 4/5x + 4, we can use the concept of the slope of a line. The slope of a line perpendicular to another line has a negative reciprocal slope.

The slope of the line y = 4/5x + 4 is 4/5. The negative reciprocal of 4/5 is -5/4.

So, the slope of the line passing through (8, -2) and perpendicular to y = 4/5x + 4 is -5/4.

Next, we can use the point-slope form of a line to find the equation of the line:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Substituting the values, we get:

y - (-2) = -5/4 (x - 8)

Expanding and solving for y, we get:

y = -5/4x + 26/2

y = -5/4x + 13

The equation of the line passing through the point (8, -2) that is perpendicular to the line y = 4/5x + 4 is y = -5/4x + 13.

Step-by-step explanation:

Answer:

pasta. you're studying physics

Step-by-step explanation:

Answer:

what we have to find or to prove.

Answer:

Not a function

Step-by-step explanation:

If you were to graph it, these would fail the vertical line test.

Answer:

So we can use geometric progression each time multiplying by 0.0475

so thats (275*0.0475)*10

So that means that we would get

130.625 so we subtract that from 275

275-130.625=144.375

That would be

Step-by-step explanation:

Answer:

-7 = h

Step-by-step explanation:

15.3 + 1h = 1.3 - 1h

        +1h          +1h

15.3 + 2h = 1.3

Remember what you do to one side you MUST do to the other.

 15.3 + 2h = 1.3

-15.3           -15.3

2h = -14

Now to isolate the variable you divide both sides by 2 to get, h = -7

Hope that helps and have a great day!

Hey there!☺

\(Answer:\boxed{h=-7}\)

\(Explanation:\)

\(15.3+1h=1.3-1h\)

In our first step, we will simplify both sides in the equation:

\(15.3+h=1.3+-h\\h+15.3=-h+1.3\)

Now add h to both sides:

\(h+15.3+h=-h+1.3+h\\2h+15.3=1.3\)

In step 3, divide both sides by 2:

\(\frac{2h}{2}=\frac{-14}{2}\)

Simplify -14/2:

\(\frac{-14}{2}=-7\\ h=-7\)

h=-7 is your answer.

Hope this helps!☺

P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100