What is the slope please help

1. What is the area of the trapezoid? The diagram is not drawn to scale. (1 point)

Dmitry [639]

Answer:

60

Step-by-step explanation:

Area of trapezoid:

$\frac{1}{2}(b1+b2) * h$

The top base of the trapezoid is given as 7 cm. The bottom base of the trapezoid can be found with 7+5+5 = 17 cm. The height is given as 5 cm. Then, plug these values into the formula.

$\frac{1}{2} (7+17) * 5$

= $\frac{1}{2} (24) *5$

= $12*5$

= 60

8 0

3 years ago

Read 2 more answers

a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

What is the solution to this inequality: -4(3x-5)<2(3x+4)

Delicious77 [7]

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

7 0

3 years ago

What’s the trinomial Mila (x-6)^2

MatroZZZ [7]

Hello

(x-6)² = x² -6*2*x + 6²

= x² -12x + 36

8 0

3 years ago

The classrooms are trying to raise $1,200.00 for charity.

Svetradugi [14.3K]

Answer:

The classes need to raise $164.86 more to reach their goal of $1200.

Step-by-step explanation:

$1,200 total

Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.

1200/2 = 600

Mr. Patel's class has raised $235.14.

235.14 + 600 = 835.14

Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.

600/3 = 200

835.14 + 200 = 1035.14

The three classes have raised a combined total of $1035.14.

1200 - 1035.14 = 164.86

The classes need to raise $164.86 more to reach their goal of $1200.

5 0

4 years ago

What is the slope please help​

What is the slope please help