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3 years ago

Find the missing side and round it to the nearest hundredth(two decimal places)

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

149 degrees

100

Step-by-step explanation:

17 + 14 = 31

The sum of a triangle is 180 degrees

so you subtract the given figure from 180 degrees

180 - 31 = 149 degrees

Since the last two digits is 49 which is less than 50 it will be rounded down to get 100

so the final answer is 100.

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PLS HELP MEEE PICTURE BELOW

Leviafan [203]

Answer:

h = 3.6

Step-by-step explanation:

This is just substituting in for variables and solving for x. The hard part is knowing the formula.

R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.

Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.

(8.1) = h(((1) + (3.5)) / 2)

= h((4.5) / 2)

= h(2.25)

8.1/2.25 = h

3.6 = h

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2 years ago

What is the scale factor of a pentagon with 4 and a dilated one with a 5

timofeeve [1]

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3 years ago

There are 320 students in a school. 16 come to school by car. 96 walk to school. Estimate the probability that a particular stud

lorasvet [3.4K]

Answer:

a. The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: $P(A)=\frac{16}{320}$

P(A)= $\frac{1}{20}$ = 0.05, which equals 5%

The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: $P(A)=\frac{96}{320}$

P(A)= $\frac{3}{10}$ = 0.3, which equals 30%

The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: $P(A)=\frac{224}{320}$

P(A)= $\frac{7}{10}$ = 0.7, which equals 70%

The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: $P(A)=\frac{208}{320}$

P(A)= $\frac{13}{20}$ = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

6 0

3 years ago

Solve i need done fast please

Bogdan [553]

A- 53
B- 53
C- 127
D- 54
E- E+20
F- 59

3 0

3 years ago

The measure of angle a is twice the measure of angle b the measure of angle c is at least one degree more than the measure of an

Sphinxa [80]

Answer:

Step-by-step explanation:

The measure of angle a is twice the measure of angle b. This means that

a = 2b

The measure of angle c is at least one degree more than the measure of angle a. This means that

c ≥ a + 1

c ≥ 2b + 1

if the sum of the three angles is at least 61 degrees, it means that

a + b + c = 61 - - - - - - - - - - - - - 1

Substituting a = 2b and c = 2b + 1 into equation 1, it becomes

2b + b + 2b + 1 = 61

5b = 61 - 1 = 60

b = 60/5 = 12

c ≥ 2× 12 + 1

c ≥ 25

25 ≥ a + 1

25 - 1 ≥ a

24 ≥ a

a ≤ 24

Therefore, the range possible measurements for angle b is

b ≤ 12

4 0

3 years ago