Mathematics High School

A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of

the sun?. Draw a right triangle and round to the nearest tenth of a degree.

Answers

Answer 1

Answer:

50.6°

Step-by-step explanation:

The reference angle = angle of elevation [tex] (\theta) [/tex]

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(\theta) = \frac{78}{64} [/tex]

[tex] tan(\theta) = 1.21875 [/tex]

[tex] \theta = tan^{-1}(1.21875) [/tex]

[tex] \theta = 50.6 [/tex] (nearest tenth)

A Building 78 Feet Tall Casts A Shadow 64 Feet Long. Find The Measure Of The Angle Of Elevation Ofthe

Related Questions

PLSS HELLP!!!! REAALLY DON"T UNDERSTAND.

Answers

Answer:

103101.4285cm³

Step-by-step explanation:

1.formulae for volume of a cylinder is πr²h ( pi× the square of the radius×height of the cylinder)

So volume =π×(27)²×(45)

V=32805π ,but π=22/7 .therefore V=32805×22/7 =103101.4286cm³

which is greater, 1.349 > 1.11

Answers

1.349 is greater than 1.11.

Answer:

that is right the greater one is 1.349

Step-by-step explanation:

bc the number after the decimal 3 is bigger than 1

the fifth term of an arithmetic progression is 40 and the seventh term is 28 more than the 3rd term. Find the first and 10th term.​

Answers

Answer:

Step-by-step explanation:

t5 = a + (5-1)d

t5 = a + 4d

40 = a + 4d

t3 = a + 2*d

t7 = a + 2d + 28 = a + 6d

Start with the seventh term which has 2 equal answers

a + 2d + 28 = a + 6d                    Subtract a from both sides

2d + 28 = 6d                                Subtract 2d from both sides

28 = 4d                                         Divide by 4

28/4 = d

d  = 7

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

t5 = a + 4d = 40

a + 4*7 = 40

a = 40 - 28

a = 12

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

First term is 12

10th term is

t10 = 12 + (10 - 1)*7

t10 = 12 + 9*7

t10 = 75

Interesting question. Thanks for posting

Chaleah deposited $700 in a new account that earns 5 simple interest. After 4 years, how much interest will she have earned? How much total money will Chaleah have after 4 years

Answers

Answer:

FV= $875

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $700

Simple interest (i)= 5% = 0.05

Number of periods (n)= 4 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*i*n + PV

FV= 700*0.05*5 + 700

FV= $875

4.5 +(6y-3.5x)+7=
expression

Answers

The answer is x = -7 + -6y

Simplify (-5)^5/(-5)^-6

Answers

Answer:

-1/5 or -0.2

Step-by-step explanation:

Hope this helps you out

The number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

A number expression:

= (-5)⁵/(-5)⁻⁶

As we know from the property of the integer exponent:

[tex]\rm = \dfrac{y^a}{y^b} = y{a-b}[/tex]

y is the base and a, b are the exponent.

As the same base can be written as the sum of the power

In the given number expression there is the same base as -5

Exponent can be subtracted, after subtracting the powers:

= (-5)⁵⁻⁽⁻⁶⁾

= (-5)⁵⁺⁶

= -5¹¹

Thus, the number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ5

The three angles of a quadrilaterals are 540, 970,860.Find the fourth angle?

Answers

Answer:123 degrees

Step-by-step explanation:

360-54-97-86=123

Answer this question plz​

Answers

157 angle on a straight line

The measure of angle EDF from the given figure is 23°.

From the given figure, ∠EGF=23°.

What is and angles in the same segment theorem?

The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

By using angles in the same segment theorem, we get

∠EGF = ∠EDF = 23°

Therefore, the measure of angle EDF from the given figure is 23°.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ2

5 + 7) + 3 = 5 + (7 + 3)

Which property does this represent?


commutative
associative
identity

distributive

Answers

Answer:

Step-by-step explanation:

Associative property

If the triangle is isosceles, then the triangle doesn’t have 3 sides in common.
True or False

Answers

Answer:

True

Step-by-step explanation:

Answer:

True, because an equilateral triangle has three sides in common

Find the value of x.

Answers

Answer:

54

Step-by-step explanation:

Answer:

I think 126

Step-by-step explanation:

I divided 90÷50 and got 1.8 and then multiplied 70 by 1.8

Write ✓-24 in simplest radical form.

Answers

Answer:

2√6

Step-by-step explanation:

make me brainliest please

I could be misunderstanding your question, but I think you want to know the simplest form of √ 24 .

√ 24 = √ 4 ⋅ 6 = √ 4 √ 6 = 2 √ 6

Because √ 6 cannot be simplified, we are finished.

I like to eat apples and bananas

Answers

Answer:

I remember that song from like kindergarten, good memories

Step-by-step explanation:

May I have brainliest please? :)

Answer:

thats cool but this is where you ask for help on hw

What is the slope of the line? *

Answers

Answer:

-2/-5 = 2/5

Step-by-step explanation:

The answer to your question is 2/5

A real estate agent earns a 6% commission on each property she sells. If she sells a detached house for $200,000 and a cottage for $180,000, how much commission will she earn?
A.
$10,800
B.
$20,000
C.
$12,000
D.
$22,800

Answers

I think d is the answer

Yooooooo somebody answer these please.

Answers

Answer:

1. distribution property

Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 25 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answers

200 minutes later= 10:20am

Answer:

10:20 am

Step-by-step explanation:

I hope this help! :)

Find the slope of the line that passes through the points (-5, 3) and (4, 6).

Answers

Answer:

1/3

Step-by-step explanation:

You would use the slope formula to solve this!

(-5, 3) and (4, 6)

m= [tex]\frac{6-3}{4+5}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

I hope this helps!!

Ayo 2+8 if u answer u get brainliest

Answers

Answer:

10

Step-by-step explanation:

*+2=1

Answer:

The answer to your question is 10

Each week, Arnold earns $92 for every shift he works at the theater and $13 for every dog-walking job. He uses the expression 92x + 13y to keep track of his earnings.

Part A: Identify the coefficients and variables in the expression. (3 points)

Part B: How many terms are in the expression, what are they, and how do you know? (4 points)

Part C: Which term in the expression shows the total earned from the dog walking jobs? (3 points)

Answers

Answer:

Part A: Identify the coefficients and variables in the expression.

The variables in the expression is:

The number of shifts he works in the theater is represented by x

The number of dog walking jobs is represented by y

The coefficients =

Amount paid for each shifts = $92

Amount paid for each dog walking jobs = $13.

Part B: How many terms are in the expression, what are they, and how do you know?

There are two terms in the expression

They are: 92x and 13y

Part C: Which term in the expression shows the total earned from the dog walking jobs?

13y

Step-by-step explanation:

Each week, Arnold earns $92 for every shift he works at the theater and $13 for every dog-walking job. He uses the expression 92x + 13y to keep track of his earnings.

Part A: Identify the coefficients and variables in the expression. (3 points)

The variables in the expression is:

The number of shifts he works in the theater is represented by x

The number of dog walking jobs is represented by y

The coefficients =

Amount paid for each shifts = $92

Amount paid for each dog walking jobs = $13.

Part B: How many terms are in the expression, what are they, and how do you know?

The expression:

Total earnings = 92x + 13y

There are two terms in the expression

They are: 92x and 13y

Part C: Which term in the expression shows the total earned from the dog walking jobs?

Since the number of dog walking jobs is represented by y, the expression shows the total earned from the dog walking jobs is 13y

What's the error and the answer​

Answers

Answer:

The Error is that you need to divide 12 by 3/4 and not mutiply it.

The Answer is x=16

Step-by-step explanation:

12 / 3/4 = 16

1. There are 60 students going on a field trip to the chocolate factory. The students are from three different classes.
Mrs. Hooper's class has 24 students and Mr. Gomez's class has 18 students. Which of the equalities correctly
describes the students and could be used to solve for how many students are from Mr. Anderson's class? (Let A =
the number of students in Mr. Anderson's class.)
A. A + 18 = 24
B. A + A + A = 60
C. 60 - 18 = A - 24
D. 24 + 18 + A = 60

Answers

ANSWER:-

Heya mate,

The answer is Option D

24 + 18 + A = 60

Simplify the expression: (9t+5)+(3t-6) HELPPPP

Answers

Answer:

12t - 1

Step-by-step explanation:

In triangle MNO, NO = MN and angle MM = 13°. Find angle MO

Answers

Answer:

If NO=MN then angle M=O, so if angle O is what you are asking for, it should be 13 degrees

Step-by-step explanation:

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

(0, 1)
(1, 1)
(2, 1)

Answers

Answer:

(1,1)

Step-by-step explanation:

In a local city, the temperature at noon is Negative 3 degrees Celsius. The temperature is expected to decrease by 2.5 degrees Celsius each hour until the temperature reaches Negative 18 degrees Celsius. How many hours will it take for the temperature to reach Negative 18 degrees Celsius?

Answers

Answer:

6

Step-by-step explanation:

18-3 = 15. 15 divided by 2.5 is 6. Hope this helps!

Answer: 6 your welcome❤️

If two lines have slopes of 1/3 and -3, then
they are

Answers

Answer:
The two lines are perpendicular.

Explanation:
Perpendicular lines have slopes that are negative reciprocals of each other, and -3 is the negative reciprocal of 1/3.

Another example: two lines have slopes of 2 and -1/2. These two lines are perpendicular.

I hope this helps!

Find the simple interest earned-

$580, 2%, 6 months ​

Answers

Answer:

$69.60 earned in interest

Step-by-step explanation:

580(.02)(6)

y=x+1
Please what is the slope and the y intercept

Answers

Answer:

The slope is 1 and the y intercept is +1

Step-by-step explanation:

The value of the coefficient of x is 1 and the b value in slope intercept form is +1

In any linear equation you use the formula y=mx + b. M always is the slope and B is always the y intercept. In this case, we can assume the slope is 1 since 1 times anything is itself there is no need to write it so we just write x. Then, the +1 represents your y intercept.

what is 1/7 * 4/5 in simplest form

Answers

Answer: 33/35?

Step-by-step explanation:

9514 1404 393

Answer:

  4/35

Step-by-step explanation:

  [tex]\dfrac{1}{7}\times\dfrac{4}{5}=\dfrac{1\times4}{7\times5}=\boxed{\dfrac{4}{35}}[/tex]

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