The perimeter of a rectangle is $98,$ and the length of one of its diagonals is $41.$ Find the area of the rectangle.

Answers

Answer 1

Answer:

[tex]328units^2[/tex]

Step-by-step explanation:

First off,  I do want to say that you could word this more easily.

98 is the perimeter. length is 41. width is 8.

the area is length*width for rectangles.

98-41=57

57-41=16

16/2=8

8*41=328 units^2


Related Questions

In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.​

Answers

Answer:

400 boys

Step-by-step explanation:

First use the fraction along with the given information (240 girls)

If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80

80 multiplied by 5 = 400

There are 400 boys in the school. (640 total students in school)

Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8

Hope this helps :)

Which of the following is biased?

a) the probability pulling a red marble from a bag with 10 red marbles 18 blue marbles and 6 green marbles

b) the probably of rolling a five on a
single die

c) the probability of drawing and ace from a standard deck of cards

d) the probability of getting heads from flipping a coin

Answers

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

16. Twelve inches is what percent of a yard?

Answers

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

What is Percentage?

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

https://brainly.com/question/13450942

#SPJ2

what is the angle of BTC, Angle TBC,Angle TCB

Answers

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

How to determine the angles of a triangle inscribed in a circle

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

What is the quotient of the division below? 96 divided by 3 = 13 23 31 32

Answers

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

A Domino's large pizza is usually $10. With a coupon, you can get a large Domino's pizza for only $6. What is the percent decrease in the price of a large pizza at Domino's with the coupon?

Answers

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

help me bro fr i need dis done

Answers

Answer: 6^5 = 6^3 * 6^2

When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.

What is the area of the the figure?

Answers

Answer:

830 yd

Step-by-step explanation:

Theres a few ways you can do this but I'll show you one of the easeist way for solving this problem.

You can slipt this figure into 2 rectangles by just cutting the small rectangle out (the one thats kind of sticking out)

Then, all you have to do is find the area of both rectangles and add them together.

For the big rectangle : 20x40 = 800

For the little rectangle : 30x10 = 30

Add all togther:

800 + 30 = 830 yd

Hope this helps :)

Write an equation in slope-intercept form of the line that passed through (-3,4) and (1, 4).
Show work

Answers

Answer:

y = 4

Step-by-step explanation:

Use slope intercpet form: y = mx + b

y = 4 I think I’m not sure and credits to the person on top of meee

How many centimeters is 0.2 meters

Answers

Answer:

there are 20 centimeters in 0.2 meaters

Answer:

1 meter = 100 centimetres

0.2(meters) x 100(centimetres that make up 1 meter)

= 20 centimetres.

Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?

Answers

I believe the answer would be $57

please help fast it is due​

Answers

Answer:

25

Step-by-step explanation:

use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25

find the missing side.

1) 2304
2) 3600
3) 1296
4) 36

Answers

Answer:

option 4

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a = [tex]\sqrt{1296}[/tex] = 36

Answer:

[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]


Can anyone help me with my homework?

Answers

Do you understand what you’re meant to be doing? You have to substitute a number on the x column of your table into the equations. So for number 2, you multiply -2•6 which equals -12. And on number three you subtract 6-6 which is 0.

The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2​

Answers

The total surface area of any given net of a rectangular prism = area of each rectangular face.

What is the Total Surface Area of a Rectangular Prism?

If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.

The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.

Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².

Learn more about the rectangular prism on:

https://brainly.com/question/1015291

Round 67.34 to the nearest tens place
A. 68
B. 67
C. 70
D. 60​

Answers

Answer:

67 because it is closer to 67 than other options

Answer:

67 B

Step-by-step explanation:

Use the number line below to determine which of the following answer choices has statements that are all true.

Answers

Answer:

1st option, and 4th option

Step-by-step explanation:

Is it select one, or select all that are correct?

Kayli made 3 times as many Peanut Butter
Cookies as Sugar Cookies. This can be modeled
using the equation below.

Answers

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

in a particular survey of internet users, 3605 resondents say that they use socail networking sites and 1306 respondents say that they do not use social networking sites. What is the probablity that a randomly selected person uses a social networking site

Answers

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2. ​

Answers

Answer:

i did this on study island

Step-by-step explanation:

What is the equation of this trend line?

Enter your answers by filling in the boxes.


please help me get into my dream school!

Answers

Answer:

Step-by-step explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1)   where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24   <------- this is the required equation.

Answer:

Blank 1 : -2

Blank 2 : 24

Step-by-step explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

m = 16 - 24 / 4 - 0m = -8/4m = -2Blank 1 : -2

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

Blank 2 : 24

UREGENT!!!! HELP NEEDED !!! QUICKLY!!! FAST!!!!

You spend a $20 per turn on a fair game to win $40 for each win. You win the first two rounds and lose the third one.
What was the net payoff?


$20


$120


-$60


$140

Answers

Answer:

I think 20 is the answer tho I might be wrong

Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.

Answers

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

first lets confirm, which series this is from,

( first term + third term )/2 = second term

(-50 + (-38) )/2 = -44-44 = -44

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

a₁ = -50aₙ = 2044n = ? = 350d = + 6

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

aₙ  = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answers

Answer:

24 inches120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

Pls help I’m really confused

Answers

I'll do problem 9 to get you started.

Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.

I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.

For triangle AOB, and any triangle really, the interior angles add to 180 degrees.

A+O+B = 180

x+y+x = 180

2x+y = 180

y = 180-2x

Then we can say

(angle AOB) + (angle AOP) = 180

y + z = 180

180-2x + z = 180

z = 180+2x - 180

z = 2x

The punchline here is that angle ABP doubles to angle AOP.

angle AOP = 2*(angle ABP)

You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.

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

To wrap everything up for problem 9, we will combine the results we found for variables z and r.

angle AOC = z+r

angle AOC = 2x + 2m

angle AOC = 2(x+m)

angle AOC = 2*(angle ABC)

This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.

Isaiah earned a score of 61 on Exam A that had a mean of 78 and a standard deviation
of 10. He is about to take Exam B that has a mean of 200 and a standard deviation of
50. How well must Isaiah score on Exam B in order to do equivalently well as he did
on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

isaiah must get a score of 115

If C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?

Answers

Answer: 34

Step-by-step explanation:

since the line is cut in half the sides equal

therefore

4x-7 = 2x+5

solve for x

4x = 2x + 12

2x = 12

x = 6

plug into either equation as they are both the same

4(6) - 7 = 17

if one half is 17 then the other half is 17

add the halves for the full line segment AT

AT = 17 + 17 = 34

Find the missing angle.

Answers

Answer:

36 degrees

Step-by-step explanation:

well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.

Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.

Answers

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss

1.
y = 4x - 7
4x + 2y = -2

• show your work
• correct X and y

2.
4x^2 + 3 = 39
• show your work
• correct answers

Answers

Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]

We then plug x back into the first equation to find y

[tex]y = 4(1) -7\\y = -3[/tex]

2)

[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]

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