Find the area of the trapezoid

The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]

Solution sketch:

Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].

Answer:

No

Step-by-step explanation:

4,7,9 is not a right angle triangle. If it was a right angle triangle then it show work in the formula a^2+b^2=c^2. But 4^2+7^2 doesn't equal 9^2. The hypotenuse or c should be 8.02 to be a right angle triangle.

Answer:

All real numbers

Step-by-step explanation:

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

ac

Step-by-step explanation: because the line ac is going directly through the square

Answer:

AC or A

Step-by-step explanation:

If you follow the letters it'll show you its AC

Answer:

on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line

Step-by-step explanation:

This is a linear function with a slope of 1 and a y-intercept at one.

Answer:

Linear function

because this kind of graph use line using the slope and y-intercept or two points

slope 1

y-intercept 1

x | y

0 | 1

1  | 2

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

Answer:

Step-by-step explanation:

27

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.

Answer:

The value of z-y is 14x/5

Step-by-step explanation:

The value of x decreased by 80% is → x - x * 80/100 = x - x*4/5 = x/5. This also equals to y → y = x/5.  (1)

The value of x increased by 200% is → x + x * 200/100 = x + 2x = 3x. This also equals to z → z = 3x.  (2)

If you substitute the values from the equation 1 and equation 2, the value of z - y → (3x) - (x/5) = 14x/5

90 + 12/5 x 60=90 + 144 +100= 334

so 334 would be your answer

The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes

We are told that Abe can paint the room in 15 hours.

Converting to minutes gives; 15 × 60 = 900 minutes

If the area of the room to be painted is x.

Then area painted per minute is; x/900

Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900

Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900

Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10

x/10 + (x/900)t + (1.5x/900)t = x/2

Multiply through by 900 to get;

90x + xt + 1.5xt = 450x

Divide through by x to get;

90 + t + 1.5t = 450

2.5t = 360

t = 360/2.5

t1 = 144 minutes

(x/900)t + (1.5x/900)t + (2x/900)t = x/2

Multiply through by 900/x to get;

t + 1.5t + 2t = 450

4.5t = 450

t = 450/4.5

t2 = 100 minutes

Thus, total time = 144 + 100

Total time = 244 minutes

Read more at;https://brainly.com/question/21407790

Answer:

11

Step-by-step explanation:

9+8+4=21

we want to divide a number by 4 to get 8

4 x 8=32

32-21+11

Answer:

A) 9

Step-by-step explanation:

First you need to find the measure of angle c

Since it's a quadrilateral, the interior angles add up to 360 degrees

Now there's two right angles and one 99 degree angle

Add those and subtract from 360

360 - (90+90+99) = 81

C = 81 degrees

However x is the root of c so root 81 is 9

Answer:

Think of it as the perimeter of the circle 

Answer:

the enclosing boundary of a curved geometric figure, especially a circle.

The circumference of a circle is related to one of the most important mathematical constants. This constant, pi

Step-by-step explanation:

Answer:

$1082

Step-by-step explanation:

28% of $46,392

=28 over 100 x 46,392

= 12989.76

Monthly Rent

=12989.76 over 12

=1082.48

Maximum monthly rent paid by Gias= $1082.48

Option A: 1082

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

Answer:

the diagonal of the second square = 4.24264068712

Step-by-step explanation:

3^2 + 3^2 = 18 =the diagonal of the second square ^2

the diagonal of the second square = 4.24264068712

Answer:

b

Step-by-step explanation:

Answer:

6/b=10/40

Step-by-step explanation:

Let me know if this is correct or if I did something wrong I haven't done this kinda math in a couple year D:

Answer:

6/h=10/40

Step-by-step explanation:

The first and second one have a 30, so it's not right.

Answer:

C, 9.4

Step-by-step explanation:

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

Answer:

multiply by 5

Step-by-step explanation:

5x5=25

25x5+125

125x5=625

Answer:

96

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

84.48/0.88

The first step to dividing decimal numbers is to convert them into whole numbers. You can do this by multiplying 1 followed by as many zeros as decimal numbers there are. In this case, we have 2 decimal numbers, therefore, we must multiply by 1 followed by 2 zeros rather 100.

84.48*100/0.88*100

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

8448/88=96

792

-------

 52'8

 528

 --------

    -

Answer:

2 1/4

Step-by-step explanation:

- 5 1/4- [-7 1/2]

Get a common denominator of 4

- 5 1/4- [-7 1/2*2/2]

- 5 1/4- [-7 2/4]

We know subtracting a negative is adding

- 5 1/4 + [7 2/4]

Rewriting

7 2/4 - 5 1/4

Subtract the whole numbers

7-5 =2

Subtract the fractions

2/4 -1/4 = 1/4

2 1/4

Answer:

2 ¼

Step-by-step explanation:

-5 ¼ - [-7 ½]

-5 ¼ + 7 ½

7½ - 5¼

(7-5) + (½-¼)

2 + ¼

2 ¼

Answer:

Step-by-step explanation:

length = 1800 / 6/10 = 30 ft long = 10 yard