For Exercises 1 and 2, write and solve an equation to find each missing length. Round to the nearest tenth if necessary. An observer is standing 30 feet from a flagpole. She is looking at the top of the flagpole. How tall is the flagpole? Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

21.65 feets

Step-by-step explanation:

First we obtain the angle of elevation :

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Cos θ = 30 / 37

θ = cos^-1(30/37)

θ = 35.82°

Hence, height of flagpole :

Sin θ = opposite / hypotenus

Sin θ = x / 37

Sin(35.82) = x / 37

0.5853083 * 37 = x

x = 21.65 feets

Height of flagpole = 21.65 feets

For Exercises 1 And 2, Write And Solve An Equation To Find Each Missing Length. Round To The Nearest

Related Questions

Which elements make up a water molecule?

A) hydrogen and nitrogen
B)oxygen and nitrogen
C) oxygen and carbon
D) hydrogen and oxygen

Answers

Answer:

D) Hydrogen and Oxygen

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Water is made of both hydrogen and oxygen

pls help Find the area of the shape shown below.

\text{ units}^2 units
2

Answers

Answer:

8 sq units

Step-by-step explanation:

area of square in middle is 2 x 2 = 4 sq units

area of one triangle is 1/2(2)(2) = 2 sq units

however, there are two triangles, so you have to double 2 to get 4

4 + 4 = 8

Answer:

8cm^2

Step-by-step explanation:

Method 1: It's a trapezium, so take the top length, (6cm), add it to the bottom length (2cm) = 8cm which is then divided by 2 (4cm) then multiplied by the height (2cm) giving an area of 8cm squared.

Method 2: area of the square = 2 x 2 = 4cm^2

Triangle 1: 2 x 2 = 4, divided by 2 = 2cm^2

Triangle 2: same as triangle 1.

Total: 4 + 2 + 2 = 8cm^2

9. What is the range of the relation [(4, 2), (1, 1), (0, 0). (1.-1). (4, -2) ?​

Answers

Answer:

{-2,-1,0,1,2}

Step-by-step explanation:

When we are talking of the range, we are referring to the possible y-values the relation can take

Hence, a set of y-values will represent the range of the relation

we have this as:

{2, 1 , 0, -1 , -2}

Arranging in order, we have ;

{-2,-1,0,1,2}

Help me with this!!!

Answers

With what??????

I love your face

James planted a tree in his backyard. The initial height is 5 ft tall. It grows 1/2 ft a year after that.

Answers

Answer:

New height = 11/2 ft

New height = 5 + 1/2(N)

Step-by-step explanation:

Given:

Initial height = 5 ft

Grown height = 1/2 ft

Find:

New height

Computation:

New height = Initial height + Grown height

New height = 5 + 1/2

New height = 11/2 ft

Equation;

New height = 5 + 1/2(Number of year)

New height = 5 + 1/2(N)

A screen printer can pack up to 24 sweatshirts into a box for shipping.
In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?

Answers

Answer:

n = 15

Step-by-step explanation:

360 ÷ 24 = 15.

good luck, i hope this helps :)

Answer:

N = 15

Step-by-step explanation:

2. The cost of Matt and Natalie's dinner was $23.25. They want to leave a
18% tip. What is the amount of the tip they are going to leave?

Answers

Answer:

$4.19 tip

Step-by-step explanation:

23.25 x 0.18 = $4.185

y = x + 8
4x – 2y = -12​

Answers

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

Answer:

(2 , 10) or x = 2 & y = 10

Step-by-step explanation:

y = x + 8

4x – 2y = -12​

1. Substitute x + 8 in for the y in the other equation.

2. Solve for x

3. Take the solution for x and substitute the number in for the x in y = x + 8.

4. Solve for y.

5. Your answer is the result.

4x - 2(x + 8) = -12                       Distributive Property

4x - 2x - 16 = -12                        Combine like terms

2x - 16 = -12                               Isolate the x, so start by moving -16

    + 16   +16                              

2x + 0 = 4                                  Delete the 0. It is a place holder you don't need

      2x = 4                                 Isolate the x by dividing both terms by 2.

        2    2

        x = 2

y = x + 8                      Substitute the 2 in for x and solve the one step equation.

y = 2 + 8

y = 10

Here is a right-angled triangle.
y cm
8.2 cm
12.3 cm
Work out the value of y.
Give your answer correct to 1 decimal place.

Answers

Answer:

9.1

Step-by-step explanation:

Let,

hypotenuse = 12.3 cm

perpendicular = 8.2 cm

base = y cm

(hypotenuse)^2 = (perpendicular)^2 + (base)^2

(12.3)^2 = (8.2)^2 + y^2

151.29 = 67.24 + y^2

151.29 - 67.24 = y^2

.: y^2 = 84.05

y = √84.05

y = 9.1

Exit Which algebraic expression below represents four multiplied by a number? A. 4 – x B. x + 4 C. 4x D.

Answers

Answer:

C. 4x

Step-by-step explanation:

Considering the options

A.4 – x - This is the difference between 4 and a number x

B. x + 4 - This is the sum of a number x and 4

C. 4x - This is the product of a number x and 4

D.

From the above, option C which is the product of x and 4 is same as four multiplied by a number.

Please help me this is due in 10 minutes!
Find the surface area of the shapes.
Please please help me!!!!

Answers

Answer:

5=1482ft

6=205.04ft

not sure for both of em

Step-by-step explanation:


PLEASE ANSWER ASAP !!!!

Answers

Slope = 4/1 or y=4x -8

Answer:

Step-by-step explanation:

(3,4)(4,8)

4/1

m=4

a car dealerships goal is to sell a mean of 35 cars per day. In one week, it sold the following numbers of cars each day: 44 35 23 29 30 21

How many more cars would it have had to sell during the week to meet its goal?
A. 5
B. 25
C. 15
D. 35

Answers

Answer:

Step-by-step explanation:

B. 25

Add 25 to the total of 220 then divide by the 7 days to get a mean of 35 cars

The expression 36/6x2+1 is equal to
13
4
2
18

Answers

Answer:

13

Step-by-step explanation:

....….........….....

the answer is 13 please give brainliest

I need some help pls​

Answers

M=-3
Y-intercept=-4




I hope this helps you

After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of the entire pan did she eat?

Answers

Claire at 2/4 of the brownie and 1/6 of the leftover.
Claire ate 2/4 of brownies all the left overs

find the term to term rule for
7, 6, 8, 7, 9​

Answers

Answer:

-1, +2

Step-by-step explanation:

The difference between the 1st two terms is -1, the difference between the next two is + 2, and so on

The cost(c)of chicken varies directly as its weigth(w)equation​

Answers

Answer:

[tex]c = kw[/tex]

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

[tex]c\ \alpha\ w[/tex]

Convert to equation.

[tex]c = kw[/tex]

Where k is the constant of variation

What is the slope of a line which is perpendicular to the line whose equation is y=7x-5?

Answers

Answer:

-1/7

Step-by-step explanation:

I think this because the  opposite of 7 is -1/7 and that is the meaning op perpendicular.

3. At an ice cream parlor, ice cream cones cost $2.00 and sundaes cost $3.50. One day, the receipts for 114 cones and
sundaes total $301.50. How many cones and sundaes were sold? (Assume tax is included in the cost.)

Answers

Answer:

Number of ice cream cones = 65

Number of sundaes = 49

Step-by-step explanation:

Let

x = number of ice cream cones

y = number of sundaes

x + y = 114 (1)

2x + 3.5y = 301.50 (2)

From (1)

x = 114 - y

Substitute into (2)

2x + 3.5y = 301.50 (2)

2(114 - y) + 3.5y = 301.50

228 - 2y + 3.5y = 301.50

- 2y + 3.5y = 301.50 - 228

1.5y = 73.50

y = 73.50/1.5

y = 49

Substitute y = 49 into (1)

x + y = 114 (1)

x + 49 = 114

x = 114 - 49

x = 65

Number of ice cream cones = 65

Number of sundaes = 49

One type of cereal has 2 grams of protein per 1 cup serving. Another cereal has 1 gram of protein per half cup serving. Do these rates form a proportion?

Answers

yes because 1 g per half a cup is equal to 2 grams per cup. multiply the half cup by 2 which gives u 1 then multiply the 1 g that gives u 2 g

7 students in Ms. Moore’s algebra class earned Bs and that represents 35% of the class. How many students were in the class

Answers

Answer:

20

Step-by-step explanation:

not sure if it is correct:

7÷35=0.2

0.2×100=20

what is the sum for nine plus ten

Answers

Answer:

9+10= 19

Hope this helps you! :)

Answer:

21

Step-by-step explanation:

Duh

can someone tell me how to solve 8th grade slope! I'll put you as brainliest!! ​

Answers

Answer:

Step-by-step explanation:

Well, the formula to find slope is y2-y1 / x2-x1

Here's an example:

(2,12) (4,24)

12-24 / 2-4 =

-12/-2 or 6

You would use:

(y=mx+b) to find an entire equation, including the y intercept

Let me know if this helps, and if it doesn't, I hope I'll be able to explain it better.

A swimming pool can be filled at the rate of 25 liters per minute using a special pump. How many hours will it take to fill a pool that holds 5,000 liters of water? Round to the nearest hunredth.

Answers

Answer:

3.33 hrs

Step-by-step explanation:

5000 liters divided by 25 liters per minute = 200 minutes

Answer:

3 hours and 20 minutes

Step-by-step explanation:

Divide: 5,000 divided by 25=200

200 minutes= 3 hours and 20 minutes

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Write the function that the balance after t years $35000 deposit that earns 9.2% annual interest compounded quarterly

Answers

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

Whats the common denominator of 12 over 24 help now​

Answers

Answer:

12

Step-by-step explanation:

12/12=1

24/12=2

12
because 12 divided by 12 is one
and 24 divided by 12 is 2
so, both of the numbers can be divided by 12

10x-3y=3 Can somebody find the slope for me please

Answers

Answer:

Y=-1+10/3x

Step-by-step explanation:

The slope is 10/3x and the point is -1. I think this is correct, but I’m not sure

Answer:

y=10/3

Step-by-step explanation:

10x-3y=3

-10x -10x move 10x

-3y=-10x+3

-3. -3. -3. divide

y=10/3x

Which is the graph of the equation y=-3/2x+6

Answers

Answer:

here's the graph

In Little Kitty City, the tax rate is 7.25%. What would the tax be on a $500 TV? (Hint: Change 7.25% to a decimal by moving the decimal two spots to the left.

Answers

Answer:

Tax amount = $36.25

Step-by-step explanation:

The tax rate is 7.25%.

We need to find the tax be on a $500 TV.

It can be calculated as follows :

[tex]C=500\times 7.25\%\\\\=500\times \dfrac{7.25}{100}\\\\=\$36.25[/tex]

So, the required tax on $500 TV is $36.25.

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