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Given :

A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.

To Find :

How far is the car from the building.

Solution :

Let, distance between car and the building is x m.

So,

[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]

Hence, this is the required solution.

Answer:

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

Step-by-step explanation:

Given the following data;

Present value, P = $300

Interest rate, r = 8%

Number of times, n = 1/4

Note: Future value = 2 * P = 2*300 = $600

Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.

To find how long she would have to invest her money in order to double it, we would use the compound interest formula;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Answer: the answer is the third one

Step-by-step explanation:

well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3

Answer:

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean and standard deviation of 486.9 and 24.01, respectively.

This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]

What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?

This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.

X = 525

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{525 - 486.9}{24.01}[/tex]

[tex]Z = 1.59[/tex]

[tex]Z = 1.59[/tex] has a p-value of 0.9441

X = 477

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{477 - 486.9}{24.01}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409

0.9441 - 0.3409 = 0.6032

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Answer:

120 degrees

Step-by-step explanation:

plugged into calculator

cos inverse of -1/2

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Answer:

☄ [tex] \large{ \tt{EXPLANATION}} : [/tex]

[tex] \large{ \tt{↬When \: x = - 1 ,\: f( - 1) = - 1 + 5 = \boxed{ \underline{ {4}}}}}[/tex]

[tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \bf{4}}}}}[/tex]

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Answer:

1. 8 + t

2. g/15

3. 5b

4. 32 - x

Step-by-step explanation:

1. the sum of 8 and t

8 + t

2. the quotient of g and 15

g/15

3. the product of 5 and b

5b

4. the difference of 32 and x

32 - x

Answer:

-2.00

Step-by-step explanation:

Applying,

Z = (x-μ)/σ.................. Equation 1

Where Z =  Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.

From the question,

Given: x = 48, μ = 70, σ = 11

Substitute these values into equation 1

Z = (48-70)/11

Z = -22/11

Z = -2.00

Hence Michelle's z-score is -2.00

Answer:

WVAD

Step-by-step explanation:

wdvvvvavdv

Answer:

I diminished the amount that

Step-by-step explanation:

Answer:

36 cubes

Step-by-step explanation:

the pic is up there

Answer:

2.    4.88 feet

Step-by-step explanation:

cos∅ = adj/hyp

cos71 = adj/15

adj = 15*cos71

adj = 4.88

Answer:

–1

Step-by-step explanation:

We want to find the following limit:

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5[/tex]

Since the function does not have any discontinuity(point in which the denominator is 0, for example), we just replace the values of x by -2. So

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5 = (-2)^3 + 3(-2)^2 - 5 = -8 + 12 - 5 = -13 + 12 = -1[/tex]

The value of the limit is -1.

Answer:

Step-by-step explanation:

D. -1

Answer:

4

Step-by-step explanation:

Answer:

C. It has four congruent angles.

Step-by-step explanation:

=======================================================

Explanation:

A) This statement is true, so we can rule it out. A rhombus by definition has four sides the same length. Think of a square but the sides can be slanted or the angles could be something different from 90 degrees.

B) This statement is true. The opposite sides of a rhombus are always parallel. Any rhombus is always a parallelogram, but not the other way around.

C) False. This is the answer. We could have a square, and in which case we have four congruent angles. But we could slant the sides and have the angles be something else. All that matters is that all four sides are the same length.

D) True. Any rhombus is a parallelogram as mentioned in part B. However, some parallelograms are not a rhombus. Consider any rectangle in which the length and width are not the same. The sides are parallel, but we don't have all four sides the same length.

Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:

A. $3.00/1 is a unit rate for the cost per cupcake.

B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.

C. 36/12 represents the ratio of $36.00 for 12 cupcakes.

First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;

Unit rate = Cost of cupcake/number of cupcakes

Substituting the given parameters into the unit rate formula, we have the following;

Unit rate = $36.00/12

Unit rate = $3.00.

This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.

Note: 1 dozen is equal to 12 pieces.

For the cost of 2 dozen cupcakes, we have the following:

Cost of 2 dozen cupcakes = 12 × 2 × 3

Cost of 2 dozen cupcakes = $72.00.

For the cost of 8 cupcakes, we have the following:

Cost of 8 cupcakes = 8 × 3

Cost of 8 cupcakes = $24.00.

For the cost of 6 cupcakes, we have the following:

Cost of 6 cupcakes = 6 × 3

Cost of 6 cupcakes = $18.00.

Read more on ratios here: brainly.com/question/27817533

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Complete Question:

A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.

$3.00/1 is a unit rate for the cost per cupcake.

Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.

36/12 represents the ratio of $36.00 for 12 cupcakes.

Using the same rate, it would cost $24.50 for 8 cupcakes.

Using the same rate, the bakery can sell 6 cupcakes for $20.00.

Answer:

A) 48

Step-by-step explanation:

Given:

b = 16

c = 20

Pythagorean thm:

a² + b² = c²

a² + 16² = 20²

a² + 256 = 400

a² = 144

a = 12

To find perimeter:

P = a + b + c

P = 12 + 16 + 20

P = 48

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1356.48 \: {cm}^{3} [/tex]

Answer:

x=1, y=2

Step-by-step explanation:

Answer:

It must be number 2.

1 and 3 number is wrong as parallelogram don't need have right angle

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

Answer:

V = 30 cubic inches

Step-by-step explanation:

Given:

height (h) = 10 in.

Base area (B) = 9 in.²

Required:

Volume of the pyramid

Solution:

Formula for finding volume of triangular pyramid = ⅓(B)(h)

Plug in the values

V = ⅓(9)(10)

V = (3)(10)

V = 30 cubic inches