The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base. a. 7 yd c. 16 yd b. 10 yd d. 14 yd

Answers

Answer 1
D. 14 yds

Area of a triangle = 1/2(base)(height)
21 = 1/2(b)(3)
Multiply both sides by 2
42 = 3b
Divide both sides by 3
b = 14

Related Questions

Fill in the sentence below with the description that most specifically applies to the quadrilateral below.

Answers

The figure with equal opposite sides and all the interior angles being right angles is a rectangle.

What is a quadrilateral?

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

A rectangle is a special type of quadrilateral in which opposite sides are of equal length(not all sides are the same) and all the interior angles are right angles.

From the given diagram the opposite sides are equal and all the interior angles are right angles hence the figure is a rectangle.

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50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

8.8

Step-by-step explanation:

To find the hypotenuse...

a²+b²=c²

C is the hypotenuse, so we add the others...

8.4²+2.6²=c²

70.56+6.76=c

77.32=c

Now, square root c to bring it to its original position.

√77.32=8.8

Your answer is 8.8 yards.

Please i have a question you can help me for answer.
The question is
Follow the construction program to build below the figure

° Draw a segment {ST} of length 9 cm.

°Draw the circle with center T and radius 4 cm
.
° Draw the circle with diameter {ST}

° The two circles intersect at A and B. Without measuring, give the length of the segments {TA} and {TB}:

Answers

The length of segments TA and TB are both 4 cm.

How to determine the diagram and the lengths

To solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.

Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.

Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.

Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.

Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.

Therefore, the length of segments TA and TB are both 4 cm.

The figure is attached

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If the area of a circle is 31.36 pi, then what is its radius?

Answers

Answer:

5.6 units

Step-by-step explanation:

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Given that the area of the circle is 31.36π,

31.36π= πr²

Divide both sides by π:

31.36= r²

r²= 31.36

Square root both sides:

[tex]r = \sqrt{31.36} [/tex]

r= 5.6 units

Solve 4x= If x=10
HURRY PLEASE ITS A TEST

Answers

Answer:

40

Step-by-step explanation:

4x

4(10)

Answer: 40

Step-by-step explanation:

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Step-by-step explanation:

1. move the decimal to make the numbers whole

0.25 - move to the right 2 times - 25

0.044 - move to the right 3 times - 44

2. Multiply 25 * 44 = 1,100

3. Add decimal

you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.

Answer - 0.01100 or 0.011

Pls help me
Here is triangle ABC:
No links pls

Answers

Answer:

[tex]Given: AC=1[/tex]

∠A=0

[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]

[tex]Cos0=\frac{AB}{1}[/tex]

[tex]AB=Cos0[/tex]

-------------------------

hope it helps...

have a great day!!

Answer:

AB = AC×cos theta= cos theta

Someone please help me out

Answers

The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Hence, when a figure is a dilation of another figure, the two figures are scale drawings.

For this problem, the ratio between the bases of the rectangles is given as follows:

12/6 = 2.

The ratio between the height of each rectangle is given as follows:

6/2 = 3.

As the ratios are different, the two figures are not scale drawings of one another.

For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.

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What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?

Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?

Answers

the gravitational potential energy equation is Eg = mass x gravity x height, gravity is always 10 on Earth, so youre equation would be “Eg =55 x 10 x 4,000” so your answer should be “Eg = 2,200,000 J”. for the bonus question, they would need 2 snicker bars :)

Ethan has 3pounds of mixed nuts how many ounces of mixed nuts does Ethan have ?

Answers

Answer:

48 ounces of Mixed Nuts

Step-by-step explanation:

You need to convert pounds to ounces to find the answer to this problem.

1 pound is 16 ounces, so multiply 3 by 16 for your answer,

Given kite RSTU. Please I need help ASAP.

Answers

The angle is 64 because if srt is 26 then urt is also 26 because the kite is symmetrical. In a symmetrical kite the intersecting lines form right angles so we can say that urt +rus=90
So 26+ rus =90
Rus=64

On the last day of a Shakespeare class, an English teacher asked her students which play
they liked most. Out of the 12 students, 4 liked Macbeth best.
What is the probability that a randomly selected Shakespeare student likes Macbeth best?
Write your answer as a fraction or whole number

Answers

The answer this this problem is: 1/3

Answer: The answer is 8/12, or 8 out of 12.

Step-by-step explanation:

There are 12 students, 4 liked Macbeth, meaning that the rest must like Shakespeare.

The capacity of a tank is 60 000 litres. It is being filled at a rate of 1250 litres per hour. How long will it take to fill of the 5/8 of the tank?

Answers

Answer:

48

Step-by-step explanation:

60 000 / 1250 = 48

Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6

Answers

Answer:

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{n^{18}}[/tex]

Required

Determine its equivalent

[tex]\frac{1}{n^{18}}[/tex]

Express 18 as 3 * 6

[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]

This can be rewritten as:

[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]

Apply the following law of indices:'

[tex]\frac{1}{a^b} = a^{-b}[/tex]

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Hence;

(d) is correct

Answer:D

Step-by-step explanation: cause im big brain

A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.

Which function could be the function described?

a. f(x)=10cos(2x)−10
b. f(x)=−10cos(π/2x)+10
c. f(x)=10cos(π/2x)+10
d. f(x)=−10cos(2x)+10

Answers

answer : C , i believe .

Explanation:

Solve the following system of equations:

−2x + y = 1
−4x + y = −1

(3, 1)
(−1, 3)
(−1, −3)
(1, 3)

Answers

Answer:

(1,3)

Step-by-step explanation:

[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]

what is the third term of an arithmetic sequence whose second term is 7 and whose sixth term is 23​

Answers

Answer: 11

Step-by-step explanation:

Given

The second term of an AP is 7

The sixth term of an AP is 23

Suppose a and d be the first term and common difference of the sequence

[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]

Subtract the above equations

[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]

Put d in equation (i)

[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]

So, the third term of the AP is [tex]a+2d[/tex]

[tex]\Rightarrow 3+2\times 4=11[/tex]

Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1

Answers

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

Answer is B.) 8x + 5y + 1

Step by step.

3(x + 2y) + 5x -y + 1

PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).

3x + 6y +5x -y +1

Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.

8x + 5y + 1

So B. Is your answer

A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the​ drawing, what is the actual length of the​ wall?

The actual length of the wall is ___ feet

Answers

Answer:

Step-by-step explanation:

1 : 4 1/2 :: 8 1/5 : x            proportion

x = (4 1/2)(8 1/5)                product of means/extremes

x = (9/2)(41/5)                   change improper fraction

x = 369/10                         multiply

x = 36.9                              change to decimal

The actual length is 36.9 feet.

Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?

Answers

At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.

How the ending withdrawal is determined?

The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.

In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.

First Leg:

N (# of periods) = 20 years

I/Y (Interest per year) = 6%

PV (Present Value) = $0

PMT (Periodic Deposits) = $1,800

Results:

FV = $66,214.06

Sum of all periodic payments = $36,000 ($1,800 x 20)

Total Interest = $30,214.06

Second Leg:

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = $,

PMT (Periodic Withdrawal) = $-7500

Results:

FV = $46,331.15

Sum of all periodic payments = $-37,500 ($7,500 x 5)

Total Interest $17,617.09

Third Leg:

N (# of periods) = 2 years

I/Y (Interest per year) = 6%

PV (Present Value) = $46,331.15

PMT (Periodic Withdrawal) = $-5000

Results:

FV (Final Withdrawal) = $41,757.68

Sum of all periodic payments = $-10,000 ($5,000 x 2)

Total Interest = $5,426.53

Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.

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6) Round off 78342 to the nearest thousand.​

Answers

78000 seriously come on now….

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.

Answers

Answer:

Below

Step-by-step explanation:

(27500 - 8700) >= 150 x       where x is the number of 150 kg containers


Telephone poles, spaced 100 feet apart, line the road on which Jesse lives. If Jesse runs from the first pole to the seventh pole, how many feet does he run? Draw a picture that illustrates the problem. ​

Answers

Answer:

She would have ran 700 feet.

Step-by-step explanation:

If there are many many poles, and she runs across 7 of them, that would be the number of poles multiplied with the distance: 7 x 100 = 700.

Select the correct answer.
Write an expression to represent the sum of three times the square of a number and —7.
In your expression, what is the value of the constant?
Ο Α.
3
O B.
7
OC.
2
OD.
1

Answers

Answer:

3x^2-7

-7 is the constant

3 is the coefficient

x is the variable

Step-by-step explanation:

(3x^2)+(-7)

hi can u pls help asap ty​

Answers

Answer:

this is your proper answer ...

Solve (2 - x)^2 < 4/25

Answers

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2)  <±sqrt( 4/25)

Make two equations

2-x < 2/5    2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2          2-x-2  > -2/5-2

-x < 2/5 -  10/5             -x > -2/5  - 10/5

-x < -8/5                         -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5                   x < 12/5

8/5 < x< 12/5

if the perimeter of an equilateral triangle is 12 inches ,what is the side length

Answers

Answer:

4 in.

Step-by-step explanation:

By definition of a equilateral triangle, all sides and interior angle measurements are congruent.

Essentially, all interior angles = 60°

By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4

4 inches is the side length.

~

Answer:

4

Step-by-step explanation:

12 ÷ 3 = 4

all the sides are equal

each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.

Answers

Answer:

Let y be the expression for the minutes you do both activities.then

y=m+30 is the required expression

PLZ HELP ASAP! IM FAILING SO PLEASEEEE

Answers

Answer: B

You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]. This also refers to [tex]\frac{5-(-5)}{0-4}[/tex] or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.

It cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes. The mall sells them for $128.98. What is the percent mark-up?

Answers

If it cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes and the mall sells them for $128.98 then 3.87 is the percent mark-up.

How much of a markup is that?

The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.

Some individuals will inform you that a 5% markup equates to a markup of 5% of the price your customer pays. In your illustration, this is stating that you add a specific amount to your cost, $62, to arrive at a price of $P for your customer, and the amount you added is 5% of $P. This means that your cost of $62 is 95% of the price of P.

($128.98 - $26.47)/ $26.47

= 3.87.

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