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3 years ago

2

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

A. 0.0000992666

Step-by-step explanation:

E is another way of showing that something is "10 to the power of..."

To convert a number from E notation to standard form, you have to move the decimal point by the amount that is beside the E.

If the number is negative, you move the decimal point to the left. If the number is positive you the decimal point to the right.

Here, a -5 is beside the E. That means we take the number 9.92666 and move the decimal point left 5 times.

Remember that as we move a decimal point to the left, the value decreases.

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If 60 of the 200 students are girls, then what percent of the students are girls?

OlgaM077 [116]

30%?
60/200=.3*100=30%

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3 years ago

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I was sick for a week and never got tought this stuff can you help

Crank

1. We know that Sum of Three Angles in a Triangle is 180

⇒ m∠1 + 75 + 40 = 180

Option B is the Answer

2. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 30 + 20 = 180

⇒ ∠1 + 50 = 180

⇒ ∠1 = 180 - 50

⇒∠1 = 130

3. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 75 + 35 = 180

⇒ ∠1 + 110 = 180

⇒ ∠1 = 180 - 110

⇒ ∠1 = 70

4. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 60 + 60 = 180

⇒ ∠1 + 120 = 180

⇒ ∠1 = 180 - 120

⇒ ∠1 = 60

5. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 30 = 180

⇒ ∠2 + 120 = 180

⇒ ∠2 = 180 - 120

⇒ ∠2 = 60

6. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 40 = 180

⇒ ∠2 + 130 = 180

⇒ ∠2 = 180 - 130

⇒ ∠2 = 50

7. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 45 = 180

⇒ ∠2 + 135 = 180

⇒ ∠2 = 180 - 135

⇒ ∠2 = 45

8. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 80 + 60

⇒ ∠3 = 140

9. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 40 + 35

⇒ ∠3 = 75

10. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 75 + 65

⇒ ∠3 = 140

11. We know that Sum of Three Angles in a Triangle is 180

⇒ x + x + 108 = 180

⇒ 2x + 108 = 180

⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

12. We know that Sum of Three Angles in a Triangle is 180

⇒ 60 + 60 + 3x = 180

⇒ 3x + 120 = 180

⇒ 3x = 180 - 120

⇒ 3x = 60

⇒ x = 20

13. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ (5x + 3) + 47 + 90 = 180

⇒ 5x + 140 = 180

⇒ 5x = 180 - 140

⇒ 5x = 40

⇒ x = 8

14. We can notice that the Given Diagram is a Right angled Triangle :

⇒ ∠1 + 90 + 45 = 180

⇒ ∠1 + 135 = 180

⇒ ∠1 = 180 - 135

⇒ ∠1 = 45

8 0

3 years ago

A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

8 0

3 years ago

A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.

Zigmanuir [339]

Answer:

Total Commission = $400

Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.

<u>Total commission</u> = 4% of 8000 + 8% of 1000

= (0.04)(8000) + (0.08)(1000)

= 400

Total Commission is $400

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3 years ago

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At camp 32 children are swimming, 25 are fishing and 28 are canoeing. How many children are swimming, fishing or canoeing?

Yuri [45]

105 students in the camp in total.

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3 years ago

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