Misty needs 216 square inches of metal

to make a yield sign.

If the height of the sign is 18 inches,

how long is the top edge of the sign?




24 inches


12 inches


198 inches


22 inches

Misty Needs 216 Square Inches Of Metalto Make A Yield Sign. If The Height Of The Sign Is 18 Inches,how

Answers

Answer 1

Answer:

24

Step-by-step explanation:

Area = 216

The area of triangle = 1/2 b * h

Since height = 18 --> 1/2 b * 18

so,

216 = 1/2 b * 18

Divide both sides by 18

12 = 1/2 b

Divide both sides by 1/2, (which is the same as multiplying both sides by 2)

24 = b

Answer 2

Answer:

24 inches

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]

The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.  

[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the height and the area in the equation and simplify.

[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]

[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]

Divide both sides by 9.

[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]

[tex]\implies24 \ \text{inches} =\text{Base}[/tex]


Related Questions

hwo do i simplify 9y+4-6y

Answers

Answer:

Solution for 9y+4-6y= equation: Simplifying 9y + 4 + -6y = 0 Reorder the terms: 4 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 4 + 3y = 0 Solving 4 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.

Step-by-step explanation:

2 √5 / 7 - √3 rationalise

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !

let's start ~

[tex] \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}[/tex]

hope helpful :D

15/3x-22/4x-29/5y+2/2Y

Answers

Answer:

-5x-48y

---------

10

Step-by-step explanation:

There you go

The linear model y=−1.25x+9.5 represents the average height of a candle, y, in inches, made with the new brand of wax x hours after the candle has been lit. What is the meaning of the slope in this linear model?

Answers

The interpretation of the slope in the equation y = 1.25x + 9.5 is that 1.25 inches of candles are made per hour

How to interpret the slope?

The linear model is given as:

y = 1.25x + 9.5

A linear model is represented as:

y = mx + b

Where;

m = slope

So, we have:

m = 1.25

This means that the interpretation of the slope is that 1.25 inches of candles are made per hour

Read more about slope at:

https://brainly.com/question/4074386

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Drew dis its one of kmk charactersssss

Answers

Step-by-step explanation:

yo that's actually really sick

What is 27 pounds in ounces

Answers

Answer:

432

Step-by-step explanation:

you convert the pounds to ounces by multiplying the mass value by 16

27 pounds in ounce is 432.

Which simplified ratio correctly compares 12 yards to 20 feet?

Answers

Answer:

3:5

Step-by-step explanation:

Divide both numbers by 2

Keep dividing by 2 until you can't anymore.

12/2=6

20/2=10

6/2=3

10/2=5

A faraway planet is populated by creatures called jolos. All jolos are either green or purple and either one-headed or two-headed. Balon, who lives on this planet, does a survey and finds that her colony of 725 contains 145 green one-headed jolos;240 purple, two-headed jolos; and 350 one-headed Jolos. How many green Jolos are there in balan's colony? a. 135 b. 205 c. 280 d. 375

Answers

Answer:

Its 280 so c

Hope this helps<3

Step-by-step explanation:

a
Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?

Answers

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

This scenario can be modeled as a geometric series.

From the information given:

[tex]a[/tex] (initial term) = 8 (miles)[tex]r[/tex] (common ratio) = 1.05 (as number of miles increases by 5% each week)[tex]n[/tex] = 19 (as the plan is for 19 weeks)

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the first 19 terms is:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

Solution

244 miles (to the nearest whole number)

First term=a=8miCommon ratio=(100+5)% =105%=1.05 weeks=n=19

So

It's a GP

we need Sum

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]

The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2

Answers

Answer:

C

Step-by-step explanation:

The slope of the equation is

1- (-2)/-1-0 = 3/-1 = -3

the slope of y= -3x-2 is -3

50- select C

{ find the slope of the equation }

Please complete the table!

Answers

Answer:

im sorry theirs not eghou imformation

Step-by-step explanation:

I need help with this question

Answers

8-4=4
9-5=4
10-6=4
12-8=4
14-10=4
They all have a difference of 4
So the equation is: x + 4

Answer:

[tex]y=x+4[/tex]

Hope This Helps! :) Please give Brainliest!

Refer to attachment below;

Which binomial is a factor of 9x2 – 64? 3x – 8 9x – 32 3x 32 9x 8

Answers

The binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

What is a binomial factor?

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

[tex]\rm 9x^2 -64[/tex]

The binomial is determined in the following steps given below.

[tex]\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)[/tex]

Hence, the binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

To know more about the Binomial factor click the link given below.

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What is true about the isosceles trapezoid?

Answers

Answer:

AD║BC

DE≅CE

AC≅DBΔ

ΔAED≅ΔBEC

Step-by-step explanation:

NOTHING ELSE

Δ

have a good day!

Circle the true statement: 46.8 < 46.08 35.30 > 35.3 17.2 > 17.19​

Answers

Answer:

17.2 > 17.19​ True

Step-by-step explanation:

46.8 < 46.08 Not True, sign should be the other way around

35.30 > 35.3 Not True, they are equal

17.2 > 17.19​ True

Answer: 17.2 >17.19 Is true

Step-by-step explanation: First one is greater than, second one is equal to.

a=91 inches and b=60 inches what is the length of the hypotenuse

Answers

Hey there!

Formula: c = √a^2 + b^2


YOUR EQUATION:

c = √(91^2 + 60^2)

c = √(91 * 91 + 60 * 60)

c = √(8,281 + 3,600)

c = √(11,881)

c ≈ 109


Therefore, your answer should be: 109


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Jackie went to the movie theater where he bought drinks and popcorn bags for his group of friends. Each drink was $4 and a bag of popcorn was $6. He spent a total of $108. He bought a total of 22 items combined. Write a system of equations that could be used to determine the number of drinks and popcorn bags that Jackie bought at the movie theatre. Define the variables used.

Answers

Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

I will give 5 star on YOUR acc and comment will also give you a thank

Answers

the answer is 3.75 cm

(three power zero times two power negative two)power negative two

Answers

Answer: 16

Step by Step Explanation:

3 to the power of Zero=1

2 to the power of -2 is 0.25

1 times 0.25 is 0.25

0.25 to the power of negative 0 is 16

Lillian bought snacks for her team's practice. She bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?​

Answers

Answer:

$1.030 ($1.03 rounded.)

Step-by-step explanation:

First, we need to start of making an equation.

$2.36 + x = 6.48.

We will use x as the variable for the amount of each bottle of juice, because it is unknown.

Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.

$2.36 - $2.36 crosses out; 0. $6.48 - $2.36 = $4.12.

We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.

4.12 / 4 =  1.030. Now, to round the answer, this would be $1.03 per bottle.

If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.

Let's denote the cost of each juice bottle as "x".

Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.

Given that the total cost before tax was $6.48, we can set up an equation:

Cost of apples + Cost of juice = Total cost

$2.36 + 4x = $6.48

Now, solve for "x":

4x = $6.48 - $2.36

4x = $4.12

x = $4.12 / 4

x = $1.03

Hence, Each bottle of juice costs $1.03.

To learn more on Equation click here:

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What two numbers multiply to egalitarian -35 and add to equal -2

Answers

Using a system of equations, it is found that the numbers are 5 and -7.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we say that the numbers are x and y.

They multiply to -35, hence:

xy = -35.

They add to -2, hence:

x + y = -2 -> y = -2 - x

Replacing on the first equation:

x(-2 - x) = -35

-x² - 2x + 35 = 0

x² + 2x - 35 = 0

(x + 7)(x - 5) = 0

x = -7 -> y = 5

x = 5 -> y = -7

Hence the numbers are 5 and -7.

More can be learned about a system of equations at https://brainly.com/question/24342899

NEED HELP THIS IS A TEST!!!
Sorry the photo isn’t clear it’s the best I can get it


Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the correct figure to each label.

Answers

Answer:
First figure
Second figure
Fifth figure

Heya !

⇢ [tex]\sf{What \: is \: \frac{32 \: x \: 2}{4} \: ?[/tex]

⇢ Remember you'll have to simplify about this.

⇢ Explain into your own words.

⇢ Don't copy/don't cheat.

⇢ Nonsense/Relevant answers, will be reported!

50 POINTS!

Thanks ~

Answers

Answer:

32 x 2
---------- = 16
.....4


To start off we can do 32 x 2.
32 x 2 = 64


Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16


In conclusion the fraction 32 x 2 / 4 is equal to 16.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: hii

Step-by-step explanation:

How much did each pack of yarn cost?? 22 points

Answers

Answer:

$13

Step-by-step explanation:

89 = 11 +6x

78 = 6x

x = 13

Answer:

13 dollars

Step-by-step explanation:

89-11=78

78/6=13

On Tuesday, the temperature was 21°C and on Wednesday, it was 17°C. If the
temperature dropped at the same rate, what would the temperature be on Thursday?
?

Answers

The temperature it would be 13 C because is dropping with 4 each day
13 c
It's ur answer( ・`ω・´)

The diameter of a circle is 18 in. Find its area in terms of
π
π.

Answers

Answer: 81 π.

Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi.  However, this problem is in terms of pi, so we're just going to find the radius squared.  We're given the diameter, but we can simply cut it in half since the radius is half the diameter.  The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius.  9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.

Have a great day! :)

Answer: the area is 81π

Step-by-step explanation:

The formula is A=πr

^{2}

The raidius would be 9 (18/2)

A=π9^{2} 

π x 9^{2} = 81π

Decimal form: 254.469004941

What shape has been used to form the quilt pattern below?

Answers

Answer:

Right Triangles

Step-by-step explanation:

This is because in a right angled triangle, there is one angle that is equal to 90 degrees, and 2 that are 45 degrees each.

These 45 degree corners make up the corners of the square (45+45 = 90 = right angle = corner of square)

Hope this makes sense.

What are the solutions to the equation x2−6x+8=0?

Answers

X^2-6x+8=0
Step 1: Factor equation.
(x-2)(x-4)=0
Step 2: Set factors equal to 0.
x-2=0 and x-4=0
Answers: x= 2 and/or x=4
Factor to get zeros.
(X-2)(x-4)
Set each equal to zero.
So x equals 2
So x equals 4
Factor by thinking of a number that adds to negative 6 and multiplied to get 8.
Can expand using distributive property to check though it is correct.
2 and 4
Mark as the best!

(0,4) across the y-axis

Answers

Answer:

(0,4).

Step-by-step explanation:

The point (0, 4) is on the y axis ( as x = 0) so the answer is (0,4).

Let p: A number is greater than 25.
Let q: A number is less than 35.
If p^qis true, then what could the number be? Select two options.
O 24
0 28
0 32
O 36
O40

Answers

Let p: A number is greater than 25.
Let q: A number is less than 35.
If p^qis true, then what could the number be? Select two options.
O 24
0 28
0 32
O 36
O40

The answer is 32
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