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Anit [1.1K]
3 years ago
7

What is the length of the base of a right triangle with an area of 20m2 and the height of 4 m

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

The base is 10 meters

Step-by-step explanation:

The area of a right triangle is (b × h) ÷ 2 = a

Let's input the given values and find the value of b:

(b × 4) ÷ 2 = 20

4b ÷ 2 = 20

2b = 20

b = 10

Check:

(10 × 4) ÷ 2 = 20

40 ÷ 2 = 20

20 = 20

It works!

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Solve for x.<br><br> x2 + 4x - 21 = 0
Anton [14]
2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5
4 0
2 years ago
For the figure shown on the right, find the value of the variable and the measures of the angles. PLZ HELP
pychu [463]
P=69 degrees
Q=71 degrees
R=40 degrees

Explanation

All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.

5x+20=180
Subtract 20 from 180

5x=160
Divide 160 by 5

x=40

8 0
3 years ago
Use the figure to determine the value of X and y
bogdanovich [222]

Answer:

100,80

Step-by-step explanation:

The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."

y°=80°

Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°

x° + y° = 180°

x° + 80° = 180°

x° = 100°

6 0
3 years ago
Read 2 more answers
All the fourth-graders in a certain elementary school took a standardized test. A total of 81% of the students were found to be
Dvinal [7]

Answer:

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

Step-by-step explanation:

Let's define the events:

L: The student is proficient in reading

M: The student is proficient in math

The probabilities are given by:

P (L) = 0.81\\P (M) = 0.74\\P (L\bigcap M) = 0.64

P (M\bigcap L^c) = P (M) - P (M\bigcap L) = 0.74 - 0.64 = 0.1\\P (M^c\bigcap L) = P (L) - P (M\bigcap L) = 0.81 - 0.64 = 0.17

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

5 0
3 years ago
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
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