You are standing 20 feet away from a tree that is 45 feet tall. What is the angle of elevation to the top of the tree? (round to the nearest degree)

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.

It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.

In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places

Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.

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Answer:

at least three are dimes

so we have 20 coins with a total of 3.50

if the rest are all quarters then there would be 4*3+2=14 but we need 20

so we are 6 short

we must have dimes in multiples of 5

12 q + 5 d=3.50 but only 17 coins

10q +10 dimes=3.50 with 20 coins

10 q +13 dimes total

algebraic solution

d+q=23

25q+10d=380

d=23-q

Step-by-step explanation:

\( \frac{4 \times - 6}{12 \times 2} \)

\( = \frac{ - 24}{24} \)

\( = - 1\)

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

2sqr3, the first option

Step-by-step explanation:

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:3.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1107.4

Step-by-step explanation:

Took Test.

The sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

An arithmetic sequence is a special sequence where every term is the sum of the previous term and a constant.

The sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

In the question, we are asked to find the sum of 14 terms for the arithmetic sequence, where the first term, a₁ = 18, and the constant difference, d = 9.4.

We know that the sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

Thus, substituting n = 14, a = 18, and d = 9.4 in the above formula, we get:

S₁₄ = (14/2){2(18) + (14 - 1)(9.4)},

or, S₁₄ = 7{36 + 122.2},

or, S₁₄ = 7*158.2,

or, S₁₄ = 1107.4.

Thus, the sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

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1. 4 + 5x = 16

2. (5-4)x = 16

3. 16 - 4x = 5

Answer:

Full height = present heightpercentage of full height at current age x 100. Q

hope it helps...

Answer:

im not sure but I think is c

Answer:

Step-by-step explanation:

The answer is D. +3/-11

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

Step-by-step explanation:

You can fold the two big rectangles together and make a kinda box like thing, with the triangles as faces, but... there's no top!

Answer: c

Step-by-step explanation:

Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).  

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

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It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.

To solve this we are going to use the formula for the future value of an ordinary annuity:

\(P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\)

where

FV is the future value

P is the periodic payment

r is the interest rate in decimal form

n is the number of times the interest is compounded per year

t is the number of years

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.

Since the interest is compounded monthly, it is compounded 12 times per year; therefore,

r = 48% = 0.48

n = 12

Let's put the values in our formula:

\(P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\\\\50[(\frac{(1+(0.48/12)^{12\times 3}-1)}{(0.48/3)}]\\\\$1954.13\)

Thus, We can conclude that after 2 years you will have $1954.13 in your account.

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Answer:

for this we need 90 percent 5410

so we multiply 5410*0.9=4869

Hope This Helps!!!

The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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Following are the numbers correct to 3 significant figures

Answers to the following questions:

(1) Round to the needed significant figure: 37400;

(2) Round to the required significant figure: 84600;

(3) Round to the required significant figure: 261;

(4) Round to the needed significant figure: 0.00262

(5) Round to the required significant figure: 0.368

(6), round to the needed significant figure: 0.00257

The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.

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I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

On solving the provided question we can say that - correlation coefficient of the question is r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.

\(S_{xx} =\)∑\(x^2\) - (∑x\()^2\) /n = 19300- ((420)^2 /10)= 1660

\(S_{yy} =\) ∑\(y^2\) (∑y\()^2\)/n = 7454- ((270)^2 /10) = 164

\(S_{xy} =\)∑\((xy)^2\)/n -475

The correlation coefficient is:

r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

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Answer:

Step-by-step explanation:

1,5 m / Parámetros dados:

Longitud de onda = 15 m

Frecuencia = 0,1 Hz

Desconocido:

Velocidad media de las olas =?

Solución:

Para encontrar la velocidad promedio,

   Velocidad media = frecuencia x longitud de onda

Velocidad media = 0,1 x 15 = 1,5 m / s

Let a be the first term in the sequence. If r is the ratio between consecutive terms, then the second term is ar, the third term is ar ^2, the fourth is ar ^3, and so on, up to the n-th term ar ^(n - 1).

So the third, fourth, and fifth terms are such that

ar ^2 = 18

ar ^3 = 27

ar ^4 = 81/2

Solve for a and r :

(ar ^3) / (ar ^2) = 27/18   =>   r = 3/2

ar ^2 = a (3/2)^2 = 9/4 a = 18   =>   a = 8

Then the n-th term in the sequence is

ar ^(n - 1) = 9 (3/2)^(n - 1)

You can rewrite this by first rewriting 9 = 3^2, then

9 (3/2)^(n - 1) = 3^2 * 3^(n - 1) / 2^(n - 1) = 3^(n + 1)/2^(n - 1)

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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