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2 years ago

Find the area of the trapezoid.

Mathematics

1 answer:

goldenfox [79]2 years ago

6 0

Answer:

Step-by-step explanation:

AREA=

$\frac{(a + b)}{2} \times h$

$\frac{15 + 6}{2} \times 10$

=105m²

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Luna buys a shirt that costs $15.65.She gives the cashier $20 and receives $3.35 in change.What is the percent error in the amou

nignag [31]

Answer:

16.25%

3.25:20*100 =

(3.25*100):20 =

325:20 = 16.25

4 0

3 years ago

A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability

Hoochie [10]

Answer:

The probability of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

A city council consists of seven Democrats and five Republicans.
A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\times (n-k)!}$

Compute the number of ways to select four people as follows:

${12\choose 4}=\frac{12!}{4!\times (12-4)!}=495$

Compute the number of ways to selected two Democrats as follows:

${7\choose 2}=\frac{7!}{2!\times (7-2)!}=21$

Compute the number of ways to selected two Republicans as follows:

${5\choose 2}=\frac{5!}{2!\times (5-2)!}=10$

Then the probability of selecting two Democrats and two Republicans as follows:

$P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242$

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.

6 0

2 years ago

A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of

velikii [3]

Answer:

shorter piece: 2 feet

longer piece: 8 feet

Step-by-step explanation:

let the shorter piece be x

then the longer piece will be 3x + 2

<u>if they join together</u>:

3x + 2 + x = 10
4x + 2 = 10
4x = 10 -2
4x = 8
x = 2

<u>Longer piece</u>:

3x + 2
3(2)+2
8 feet

7 0

2 years ago

Read 2 more answers

Multiply and simplify: -3x^2y^2 times x^4

pishuonlain [190]

It's the first answer choice.
Steps:
-3x^2y^2x^4
(Apply the exponent rule)
x^4x^2 = x^2+4 = x^6

= -3x^6y^2

8 0

3 years ago

Help please if u can

Mekhanik [1.2K]

Answer:

Negative infinity

Step-by-step explanation:

The line points down infinitely in the graph.

7 0

2 years ago