Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 8 ft and a length of 14 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. 2(14 + 8) = 44 square feet 1 over 2.(14 + 8) = 11 square feet 2(14 × 8) = 224 square feet 1 over 2.(14 × 8) = 56 square feet

Answers

Answer 1
If it is a diagonal going from one corner to the other opposite corner about the center, the diagonal simple divides the area by 2.

So:

A=xy/2, and x=8 and y=14 in this case so:

A=(8*14)/2  or as you are probably looking at it (which is the same thing)

(1/2)(8*14)=56 square feet.
Answer 2

Answer:

D) 1 over 2. (14 × 8) = 56 square feet

Step-by-step explanation:

You first need to look at the w x h formula (width x height).

W= 14
H= 8

14 x 8= 112

Then, you have to divide 112 by 2. The reason why is because 112 is the area of the whole rectangle, but you only need the area to the triangle, which is half of the rectangle.

112 ÷ 2= 56 sq. ft.


Therefore, the answer is D. Hope this helped!! <3


Related Questions

Complete the steps in order to write the inverse of f(x) = x + 5

Answers

Final answer:

To find the inverse of a function, replace f(x) with y, swap x and y, then solve for y. Thus, the inverse of f(x) = x + 5 is f^-1(x) = x - 5.

Explanation:

To find the inverse of a function like f(x) = x + 5, we use the following steps:

Replace the function notation f(x) with y. So, we get y = x + 5.

Swap the roles of x and y. This changes the equation to x = y + 5.

Solve for y to get the inverse function. By subtracting 5 from both sides, we acquire y = x - 5.

This implies that the inverse of the function f(x) = x + 5 is f-1(x) = x - 5.

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what else would you need yo show that ABC DEF by ASA APEX ?

Answers

ASA stands for angle, side angle, so the next piece of information you would need to know to prove congruency with this method is A. <B is congruent to <E.

Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parentheses 6 minus 6 i close parentheses.

Answers

first we combine the parenthesis to get 9/(-2-i)  then we multiply both the numerator and the denomenator by the conjugate of -2-i (whic is -2+i) to get (-18+9i)/5

the diagram show a straight line ABC . Find the value of p

Answers

Finding the change in y/change in x=the slope, we get
(13-11)/(-4-(-2))=2/-2=-1. Therefore, the equation is y=-1*x+b. Plugging it into (-4, 13), we note that 13=4+b and b=9 by subtracting 4 from both sides, making the equation y=-x+9. Plugging it into A, we get that
1 (y , the second value) = -x+9. Subtracting both sides by 9, we get 1-9=-x and -8=-x. Multiplying each side by -1, we get x=8

how do you solve f + 15 = 35

Answers

So what we do to one side of the equal sign, we must do to the other side as well.


We want to solve for f, so we need to subtract 15 on both sides of the equal sign in order to get f alone by itself on the left side:


[tex] f=20 [/tex]


So now we know that f = 20.

f + 15 = 35


Isolate the variable (f). Note the equal sign. What you do to one side, you do to the other.


Subtract 15 from both sides


f + 15 (-15) = 35 (-15)


f = 35 - 15


Simplify


f = 20


f = 20 is your answer


hope this helps

91 more than the square of a number in verbal form

Answers

91 more than the square of a number can be expressed algebraically as:
let the number be x;
square of x is x^2
thus our answer is x^2+91

A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she is walking down, taking the same time per step, then she counts 90 steps. How many steps would she have to take in either direction, if the escalator were standing still?

Answers

Solve the how many steps will the girl direction, if the escalator were standing still.
So let,
V the speed of the girl per step
v the speed of the escalator per step
L the length between ground and floor in number of steps
V*60+v*60 = L => V+v=L/60
V*90-v*90 = L => V-v=L/90
By adding the equations V+v = L/60 and V-v=L/90 we get:
2V = L(3+2)/180
V = 5L/360
V = L/72
Time to climb (in steps) with v=0 (escalator standing still) is:
V*t = L
t = L/V
t = L/(L/72)
t = 72 steps
The girl will count 72 steps.

Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answers

so first thing you need to know that GCF is greatest common factor
to make a polynomial you need to do ax2 + bx + c = 0

4xy^2 + 8x^2y  = 2xy( y + 3x)

here you go two forms 
but remember here they are asking to make the GCF 2 so the powers can't go greater than 2 

hope this helps 

What is the value of the expression -225 divided by -15





GIVING BRAINLIEST

Answers

The answer to your expression is 15.
Steps: -225/-15
            -(-15)
            15


-225 divided by -15 is equal to 15.

What is Division?

A division is a process of splitting a specific amount into equal parts.

We have to find the value of the expression -225 divided by -15

By means of division we can find this value.

-225/(-15) = 15

Two hundred twenty five is the numerator and fifteen is the denominator.

We get 15

When we divide a negative number by a negative number, the result is a positive number.

Therefore, -225 divided by -15 is equal to 15.

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Plz help me answer this

Answers

[tex]3x+30=60\\ 3x=30\\ x=10[/tex]
60-30 = 30. 30/3 = 10. x = 10

In which situation is the distance traveled proportional to time?


A car moving in stop-and-go traffic


A person biking on a trail at 12
miles per hour for 20
minutes


A baseball hit to center field


A race car slowing down after crossing the finish line

Answers

It's the second answer, because it is the only answer that involves time.

Answer: a person on a trail at 12 miles per hour for 20 minutes

Step-by-step explanation:

just go it right!!!

FIRST CORRECT ANSWER GETS BRAINLIEST!

Answers

Since half of the diagonal is [tex]10[/tex] the whole diagonal ([tex]MK[/tex]) is 20

By pythagorean theorem, [tex]JK = \sqrt{MK^2 - MJ^2} = \sqrt{20^2 - 12^2} = \sqrt{400 - 144} = \sqrt{256} = 16. [/tex]

After that you just find the perimeter of the rectangle.

[tex]2l + 2w = 2*16 + 2*12 = 32 + 24 = 56[/tex] :)

How do you turn 1/8 into a fraction

Answers

that is a fraction, as it has a '1' as the numerator and an '8' as the denominator.

hope it helps, xx
1/8 is already a fraction. The 1 is the numerator and the 8 is the denominator.

What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.)

Answers

5, it is the only thing that does not change when x or y change

Answer:

Answer is 5.

Step-by-step explanation:

The given expression is :

[tex]4x^{3}y+8x^{2} +6x+5[/tex]

We have to tell the constant term here.

A constant term is one that remains same and does not change with change in values of x and y.

Here, other terms contains either x or y or both, that will change with change in x and y. Only 5 is the single term that will remain constant.

So, the answer is 5.

Mr. Wilson has 3000 in his bacon count Mrs. Nelson has 10 times as much money in her bank account as Mr. Wilson has in his big and count how much money does Mrs. Nelson have in her bank account

Answers

Since Ms.Nelson has 10 times as much, you multiply 3,000 and 10 to get 30,000.

The cruise control feature on a car is set to maintain a speed of 65 miles per hour. The car’s actual speed never varies by more than three mph. Select the inequality that represents the speed of the car while cruise control is being used.


Answers

Final answer:

The inequality that represents the speed of the car while cruise control is being used is 62 ≤ s ≤ 68, where s is the car's speed and it shows the car's speed will be at least 62 mph and at most 68 mph.

Explanation:

The cruise control feature on a car is designed to maintain a steady speed, in this case, 65 miles per hour. However, it is acknowledged that the car's actual speed can fluctuate slightly. The question asks for an inequality that represents the potential speed of the car while cruise control is in use.

Considering the car's speed can vary by up to 3 mph more or less than the cruise control setting, we can set up an inequality to describe this range of speeds. The car's speed (s) should be no more than 3 mph above 65 mph and no less than 3 mph below 65 mph. Therefore, the inequality that represents the speed s of the car would be:

62 ≤ s ≤ 68

This inequality shows that the car's speed will be at least 62 mph and at most 68 mph, encompassing the 3 mph range of variation allowed by the cruise control setting.

Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?

Answers

x^2-x-4+2=0
x^2-x-2=0
a=1
b=-1
c=-2

solve the system of equations using elimination. 3p+9q=6 5p-5q=30

Answers

45p-45q=270
15p+45q=30

Solving this will get 60p=300 so p=5
Plug it in and we get 15+9q=6 so q=-1

The answer is p=5 q=-1


3p+9q=6
5p-5q=30

3(5)+9(-1)=6
15-9=6✔

5(5)-5(-1)=30
25+5=30✔

p=5
q=-1

When adding or subtracting two decimals, what is the first thing you must do

Answers

line up the decimals

What is 25 degrees lower than 57

Answers

Your answer would be 32. 

 57
-25
-----
 32

7 - 5= 2
5- 2 = 3

Hoped I helped! 
I think it should be 32

The following information is obtained from two independent samples selected from two normally distributed populations.
n1 = 18 x1 = 7.82 σ1 = 2.35
n2 =15 x2 =5.99 σ2 =3.17
A. What is the point estimate of μ1 − μ2? Round to two decimal places.
B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.
Round to two decimal places.

Answers

A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:

μ1 − μ2 = x1 – x2 = 7.82 – 5.99

μ1 − μ2 = 1.83

 

B. The formula for confidence interval is given as:

Confidence interval = (x1 –x2) ± z σ

where z is a value taken from the standard distribution tables at 99% confidence interval, z = 2.58

and σ is calculated using the formula:

σ = sqrt [(σ1^2 / n1) + (σ2^2 / n2)]

σ = sqrt [(2.35^2 / 18) + (3.17^2 / 15)]

σ = 0.988297

 

Going back to the confidence interval:

Confidence interval = 1.83 ± (2.58) (0.988297)

Confidence interval = 1.83 ± 2.55

Confidence interval = -0.72, 4.38

The tickets in a box are numbered from 1 to 20 inclusive. If a ticket is drawn at random and replaced, and then a second ticket is drawn at random, what is the probability that the sum of their numbers is even?

Answers

it would be a 10 out of 20 percent chance that the sum of their numbers is even.

Answer:

1/2

Step-by-step explanation:

no guarantees but the guy before me said 10/20 and of course if you divide 10 and 20 you get 0.5, and 0.5 is equal to 1/2.

it is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?

Answers

Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.

What is fraction?

"Fraction is defined as the part of whole number divided into equal parts."

According to the question,

'x / y' represents the required fraction

'x' represents numerator of the given fraction

'y' represents denominator of the given fraction

Condition given,

0.5 < ( x / y) < 0.9

Denominator is squared number

Numerator is a prime number

(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)<  ( 9 / 10)

Hence, required fraction as per condition is ( 7 / 9).

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What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

Answers

Answer:

Option (d) is correct.

[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Step-by-step explanation:

Given : Expression [tex]\sqrt{10000x^{64}}[/tex]

We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]

Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]

Factor 10000 as [tex]10000=100^2[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]\sqrt{100^2}=100[/tex]

also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

We have,

[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]

Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Answer: D. 100x32

Step-by-step explanation:

You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?

Answers

The two pumps working together would pump out water at a rate of 100 gallons per minute. To determine the time it takes to completely pump out the water from the basement, we need to determine the volume of the water in the basement. The dimensions of the basement is 40 feet by 50 feet (given elsewhere) while the depth of the water is said to be  16 inches. From these dimensions, we can calculate for the volume as follows:

V = length x width x depth
length = 50 feet
width = 40 feet
depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate
Time = 19948.05 gal / 100 gal / min
Time = 199.48 min

randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

Answers

x+y = 4

x=4-y

52x+50y=204

52(4-y)+50y=204

208-52y+50y=204

208-2y=204

-2y=-4

y=2

x= 4-2=2


check 52*2=104

50*2 = 100

104+100=204

 so he traveled 2 hours at both 50 and 52 mph

8x-12y=84 into slope intercept form

Answers

8x-12y=84
in slope intersept form or (y=mx+b) is
y=2/3x-7

If trap is an isosceles trapezoid, what is the value of x

Answers

Answer:

Option E ⇒  x = 19

Step-by-step explanation:

See the attached figure.

TRAP is an isosceles trapezoid

The shown angles are supplementary angles

So, the sum of (5x+9) and (4x) is 180

So, 5x+9 + 4x = 180

solve for x

9x + 9 = 180

9x = 180-9 = 171

x = 171/9 = 19

The answer is option E

Solve the equation for 10 points

6x+7=8x−15

Answers

Add 15 to both sides to get 6x+22=8x then subtract 6x from both sides to get 22=2x then divide both sides by 2.

X=11
x=11, make sure to isolate the variables all on one side of the equation

explain the place value relationship when the same two digits are next to each other in a multidigit number

Answers

For example, the value of digit 3 in 5833

5833 = 5000 + 800 + 30 + 3

The digits 3 in 5833 has value of 30 and 3
One value is ten times the other

Another example, the value of digit 6 in 586645

586645 = 500000 + 80000 + 6000 + 600 + 40 + 5

The digits 6 in 586645 is 6000 and 600
One digit is 10 times the other

We can make a conclusion that the place value relationship when the same two digits are next to each other is one digit will always be 10 times the other digit.
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