Please and Thank you!
A meteorologist measures the angle of elevation to her weather balloon as 33 degrees. A radio signal from the balloon indicates that it is 1601 meters diagonally from her location. How high is the weather balloon above the ground? Round to the nearest hundredth.
A. 871.97 feet
B. 1342.71 feet
C. 2939.56 feet
D. 1039.70 feet

Answer: 69 and 420

Step-by-step explanation:

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

The difference, in miles, of their initial distances from home is found to be 30 miles.

For the stated question:

Using the graph:

Distance between Lionel and home in first one hour is 170 miles.

Distance between Marcus and home in first one hour is 140 miles.

Thus, the distance between Lionel and h Marcus in first one hour is:

= 170 - 140

= 30 miles

Thus, the difference, in miles, of their initial distances from home is found to be 30 miles.

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Answer:

Step-by-step explanation:

Find the slope is found for each brother.

Lionel: 70−1703−1=−50

Marcus: 60−1403−1=−40

Then use y=mx+b

m= -50

170=-50(1)+b

b=220

y=-50x+220

m= - 40

140=-40(1) + b

b=180

y= -40x+180

220mi−180mi=40mi

Answer:

225 stickers

Step-by-step explanation:

(900+450)/2 = 1,350/2= 675

so, Carla shared with Justin :

900-675 = 225 stickers

Answer:

area of shaded = 331 square meters

Step-by-step explanation:

area of rectangle : length * width

so area of shaded = ( 21 * 11 ) + 5 * ( 21 - 5 ) + 5 * 4 = 331 square meters

OR,

find the full square are = 21 * 21 = 441 square meters

then find unshaded area which is = 5 * 5 + 5 * 17 = 110 square meters

so area shaded is  =   441 - 110  = 331 square meters

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Answer:

Diameter is equal to 38 cm.

Step-by-step explanation:

We know that the circumference equals  πd (where d is the diameter).

If we round the value of π to 3.14 then we will get...

πd = 119.32

(3.14)d = 119.32

d = 119.32 / 3.14

d = 38 cm

Therefore the diameter is equal to 38 cm

Answer:

120, 60, 180

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer: 12/5 which simplifies to 2 2/5.

Step-by-step explanation: Check attachment.

Answer: 2 1/2

Step-by-step explanation:

You should already know that you multiply length times width . But with this one your finding the width. So you reverse it. 3 3/4 divided by 1 1/2. Then you get 2 1/2.

Yes, the cubic power of an odd integer is odd. So, the following conjecture are

a) False ; 7³ = 342 --> True

b) False ; 9³ = 728 -->True

c) False; 5³ = 126 --> True

We have, some conjecture related to the cubic power of an odd integer is odd.

Odd number : In mathematics, an integer is even if it is a multiple of two, and odd if it is not. Let us consider 2n be a even numbers then , 2n+ 1 must be an odd number.

taking cube power of 2n+ 1 we get,

(2n + 1)³ = (2n)³ + 1³ + 3×2n×1( 2n + 1)

[ Since, (a + b)³ = a³ + b³ + 3ab(a+b), here a = 2n and b = 1]

So, (2n + 1)³= 8n³+ 1 + 6n( 2n + 1)

= 8n³+ 1 + 12n² + 6n = 2n(4n² + 3n + 3) + 1

As we see clearly, first factor is multiple of 2n that is it's even number then (even number + 1 ) implies to an odd number. Thus, the cube power of odd number is again an odd number, i.e 3³ = 27 ; 5³ = 125 ......

a) False ; 7³ = 342 , it is true

b) False ; 9³ = 728 , it is true

c) False; 5³ = 126 , it is also true

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12.5mg left at 6pm

Step-by-step explanation:

500mg x 15% = 75mg/hr

Taken at 8am and by 2pm that's 6/hrs 7 x 75mg/hr = 450mg

By 2pm only 50mg are left

Taken at 8am, by 6pm that's 10/hrs

With 50mg left and 4hrs to go

50mg ÷ 4 = 12.5mg

Answer:

\(5 { \times 54}^{2} \)

Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

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Answer:

d) 1/12

Step-by-step explanation:

Answer:

The answer is 15,008 you clicked the right one.

Step-by-step explanation:

Answer: your answer is right

Step-by-step explanation: i did the computation

From the table it can be seen that when r=3, V(r=3) =113

On the other hand, when r=7, V(r=7)=1436 and when r=2, V(2)=33.5, therefore,

Answer:

2\(\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}\)

Step-by-step explanation:

The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.

Answer:

2 3/4 +(-3 1/4)= -1 2/4

Step-by-step explanation:

hope you get it right

The isosceles right is given in the diagram below

We are to rotate clockwise about point B as the origin

Rotating ABC 180° Clockwisely, we have

Rotating ABC 270° clockwise about B, we have

We now combine the four triangles together in the diagram below

Answer:

$14.4

Step-by-step explanation:

I don't quite understand this question, but this is what I think

The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

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

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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The z-score for the given normally distributed data of typing test is 3.33 and its left and right p -value is equal to 0.9996 and 0.00043 respectively.

As given in the question,

Mean of the typing test 'μ' = 60 words per minutes

Standard deviation of the typing test 'σ' = 6 word per minutes

Number of words per minutes 'X' = 80

z- score = ( X - μ ) / σ

             = ( 80 - 60 ) / 6

             = 20 /6

             = 3.33

z-score graph for the given data indicates the left tailed p -value .

Using table:

left tailed p -value = 0.9996

Right tailed p - value = 0.00043

two tailed p- value = 0.00086

Two tailed confidence level is given by 0.9991

Therefore , the z-score of the given mean and standard deviation is equal to 3.33 and left and right p -value is 0.9996 and 0.00043 respectively.

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Answer:

Step-by-step explanation:

plug the units in and multiply then you should have a answer

Answer: the answer is even.