A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.

SOMEONE PLS HELP ME! THANK YOU!

Answers

Answer 1

Answer:

[tex]b\geq 9[/tex]

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

[tex]\displaystyle A = \frac{1}{2}bh[/tex]

Since we want to area to be at least 36 square feet:

[tex]\displaystyle \frac{1}{2}bh \geq 36[/tex]

We are given that the height is eight feet. Substitute:

[tex]\displaystyle \frac{1}{2}(8)b\geq 36[/tex]

Simplify:

[tex]4b\geq 36[/tex]

Divide both sides by four. Hence, our inequality is:

[tex]b\geq 9[/tex]

In words, this means that the base must be at least 9 feet long.


Related Questions

Helpppppp pleaseeee anyoneeeee!!!!!

Answers

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)

Now substitute in the values of m to get the a-value:

m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168

21in. = _____ft. terminating or repeating

Answers

Answer:

Terminating

Step-by-step explanation:

We know that 12 inches is 1 foot. We can divide to find how many feet we have.

21 / 12 = 1.75

Since the decimal ends at 0.05, the decimal is terminating.

Best of Luck!

21in.=1.75ft. terminating or repeating

Which of the following characteristics best describes the given function of
f(x) = -2x + 5 ?

A) minimum, always decreasing, exponential function

B) minimum, always decreasing, linear absolute value function

C) no maximum or minimum, always increasing, linear function

D) no maximum or minimum, always decreasing, linear function

Answers

Answer:

D

Step-by-step explanation:

the Negative sign in front of 2 shows the function is decreasing

42°
Х

please help with this

Answers

Answer:

X=48degrees.

Step-by-step explanation:

Sum of all angle of traingle=180degrees.

So, 90+42+X=180

132+X=180

X=180-132=48degrees

Pls help me with this question ASAP

Answers

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

Answer: 8

Step-by-step explanation:

(3+5)^2/8=

(8)^2/8=

64/8=

8

For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.

Please help! Was due yesterday!

Answers

Answer:

1. Line segment 2. Point 3. Line 4. Line Segment

(SAT Prep) Find the value of x

Answers

25°+x=45°+15°25°+x=60°x=60°-25°x=35°

I hope it will be helpful andplease mark this answer as brainlist

Answer:

55°

Step-by-step explanation:

It should be:

x - 25 = 45 - 15x = 30 + 25x = 55

|x-2| + |x+1| -5=0
find x

Answers

Answer:

|x-2| + |x+1| -5=0

⇒|x-2| + |x+1|=5

⇒x-2+x+1=5

⇒2x=6

⇒x=3

Step-by-step explanation:

PLEASE HURRY
Select the correct answer.


Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.


Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?


A.

18x + 24y ≤ 225

x + y ≥ 10

B.

24x + 18y ≥ 225

x + y ≤ 10

C.

18x + 24y ≥ 225

x + y ≤ 10

D.

24x + 18y ≤ 225

x + y ≥ 10

Answers

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation:

"He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation: "He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter

Answers

Answer:

If ABCD is If ABCD is dilated by a factor of }, the

coordinate of B' would be:2

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

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

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Find the value of the constant m √150 - √12m + √54 = 0​

Answers

Answer:

m is 2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

find the surface area of the cylinder and round to the nearest tenth​

Answers

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

Find the perimeter and area , Please help me on this will give brainlist

Answers

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.

Answers

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

someone please help!!

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

please please jhelp me....​

Answers

Answer:

2·v - (u + w) = (5, 0, -10)

Step-by-step explanation:

The given values of the vectors are;

u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)

The required vector is 2·v - (u + w)

2 × v = 2 × (4, 0, -2) = (8, 0, -4)

(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)

Therefore;

2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)

2·v - (u + w) = (5, 0, -10)

What is (9.3x10^34) in scientific notation?
(3.1x 10^17) ​

Answers

Answer:

B

Step-by-step explanation:

3 x 10 ^17

Which is B

edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.

Then, when doing exponents, heres a rule of thumb.

When adding exponents, the base must be the same.

9.3 ^ 100  +  9.3 ^ 3  =  9.3 ^103

9.3 ^ 29 + 4.4 ^ 54 = cannot be solved

When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.

When dividing exponents, you just subtract exponents. The bases must be the same though of course.

3 ^ 30

----------

3 ^ 20

====  3 ^ 10

When multiplying exponents, you add exponents like normal. Bases are the same ect.

4 ^ 49    x    4 ^ 2   =   4 ^ 51

When doing scientific notation, the same rule applies.

The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.

The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.


During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?

Answers

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

David’s hourly rate is 106 dollars an hour

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?

Answers

Answer:

Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.

Step-by-step explanation:

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question​

Answers

Answer:

Hello,

Step-by-step explanation:

The volume of the tank is V, p is number of pipes, t the time, k as constant.

V=k*p*t

V=k*10*16 ==> k=V/160

V=k*8*t

V=V/160*8*t ==>1=8/160*t ==> t=160/8=20

Time to use: 20 min.

Need help asap, thanks :)

Answers

Answer:

937

425

Step-by-step explanation:

9 is the square of 3

7 is 1 more than 6, the double of 3

4 is the square of 2

5 is 1 more than 4, 2x 2

Is there more?

Answer:

425

Step-by-step explanation:

1st = 2^2

3rd = 2*2 + 1

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?

Answers

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?

Answers

Answer:

linear. Each week adds another 10 dollars.

Step-by-step explanation:

Total = 340 +  10*w

w is the weekly amount

Suppose 5 weeks pass

Then the total amount in her bank account is

Total = 340 + 10*5

Total = 340 + 50

Total = 390

The equation is Linear.

If every 1,000 views is 2 cents how much would I have if it was 100,000 views

Answers

Answer:

It's answer is 200 cents bun not sure

If g(x) = (x + 2)/3, find g(-8).

Answers

Answer:

-2

Step-by-step explanation:

Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2

Answer:

g(- 8) = - 2

Step-by-step explanation:

To find g(- 8) substitute x = - 8 into g(x) , that is

g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

Evaluate the following expression 2x - |4 - 7x| when x = -3

Answers

Answer:

-31  

Step-by-step explanation:

2x - abs(4 - 7x)

2x = 2 * - 3 = - 6

4 - 7x = 4 - 7*-3 = 4 + 21 = 25

-6 - abs(25)

-6 - 25 = -31

You should note three things.

1. the absolute value of 25 is 25

2. There is a - sign outside the influence of the 25 so 25 becomes - 25

3. - 6 - 25 = - 31

Other Questions
what is Lewis acid and Lewis base? give examples The mass of a hot-air balloon and its occupants is 381 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01 x 105 Pa and a density of 1.29 kg/m3. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 480 m3. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be heated so that the balloon just lifts off Justice is a natural part off the life cycle of the United States true or False How will you ask your teacher their name? What conditions can impact the ecological tolerance of a species? Pls Answer,30 points The average of Mindys two test scores must be at least 90 to make an A in the class. Mindy got an 95 on her first test. What scores can she get on her second test to make an A in the class? If a point is chosen inside the square, what is the probability that it will also be inside the circle? The graph of a relation is shown.Which of these values could be the slope of the line?Select two options.-2-8/507/43 Selected accounts with a credit amount omitted are as follows: Work in Process Apr. 1 Balance 7,500 Apr. 30 Goods finished X 30 Direct materials 60,000 30 Direct labor 191,000 30 Factory overhead 57,300 Finished Goods Apr. 1 Balance 13,500 30 Goods finished 307,300 What was the balance of Work in Process as of April 30? a.$307,300 b.$13,500 c.$57,300 d.$8,500 Amanda asked each student in her class: How many pets do you have? The data collected is below.Amanda's Class: 0, 0, 2, 1, 1, 0, 5, 0, 3, 2, 1, 1, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2Charley asked the same question to each student in his class (which is noclass as Amanda's). The data he collected is below.Charley's Class: 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 0, 2, 3, 1, 2, 5, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1Whose class had a larger percentage of students with no pets? XYZ Company provides the following activity-based costing information: Activities Total Costs Activity-cost drivers Account inquiry $320,000 16,000 hours Account billing $160,000 3,200,000 lines Account verification costs $138,600 60,000 accounts Correspondence letters $19,200 4,000 letters Total costs $637,800 The above activities are used by Product A and B as follows: Product A Product B Account inquiry hours 2,700 hours 1,800 hours Account billing lines 820,000 lines 630,000 lines Account verification accounts 23,000 accounts 24,000 accounts Correspondence letters 1,500 letters 2,000 letters How much of the account verification costs will be assigned to Product B please help ASAP, this is a one of the last questions for a very important test Im taking and I would like to make sure my answer is correct What did sharks andrays develop thattheir ancestors didnot have?A. lobes that were the beginnings of arms and legsB. jaws that helped with catching preyC. legs to be able to survive on landD. amniotic eggs Question 4 of 5How can the Fitness Logs help you in this class?O A. They can't; the Fitness Logs are only useful to your teacher.B. They show your parents how much you're learning.C. They let you keep track of your thoughts, feelings, and progress.D. They help you evaluate yourself for your final grade.SUBMIT What happens inside the mitochondria?A. photosynthesisB. blood circulationC. cellular respiration 3. If you were a government leader of a Third World country during the Cold War, do you think that youwould have been more likely to side with the U.S. or the Soviet Union? Would the location of your countrymake a difference? Explain your answer. Read and select the best answer.-Hola! Buenos das. Qu tal? Cmo te llamas? Yo me llamo Jos.-Buenos das. Ana. Estoy muy bien, gracias.--Mucho gusto.-El gusto es mo. Y t?GraciasSu nombre esYo soy Which mineral is produced when two atoms of iron chemically combine with three atoms ofoxygen?1. garnet2. pyrite3. magnetite4. hematite Pete, a human resource intern, was given an assignment by his manager that meant he must obtain information from other departments to complete it, but some departments refused to share information with an intern. Pete was frustrated because he did not have the power to get the information he needed. In the context of this situation, Pete's manager made the mistake of Diaz conducts a decision-making experiment to determine if people reason more logically when they have more time to decide. All the participants who are under 40 are allowed 15 minutes to reach a decision about a problem; all the participants who are over 40 are allowed 20 minutes to reach a decision about the same problem. Diaz has a problem with his experimental design because Investing $2,000,000 in TQM's Channel Support Systems initiative will at a minimum increase demand for your products 3.0% in this and in all future rounds. Looking at the Round 0 Inquirer for Andrews, last year's sales were $163,189,230. Assuming similar sales next year, the 3.0% increase in demand will provide $4,895,677 of additional revenue. With the overall contribution margin of 34.1%, after direct costs this revenue will add $1,669,426 to the bottom line. For simplicity, assume that the demand increase and margins will remain at last year's levels. How long will it take to achieve payback on the initial $2,000,000 TQM investment, rounded to the nearest