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kenny6666 [7]
4 years ago
5

What does > −1 indicate about the positions of and −1 on the number line? (4 points) Select one: a. is located on the right o

f 0, and −1 is located on the left of 0 b. is located on the left of 0, and −1 is located on the right of 0 c. is located on the left of −1 d. is located to the right of −1

Mathematics
1 answer:
aksik [14]4 years ago
4 0

>-1 means 'Greater than -1'. So, the numbers like 0,1,2,3,.... and so on are signified by '>-1'. So, >-1 signifies all the numbers to the right of -1. That is, Option (d). Also, 0 is located to the right of -1.

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What is the distance between B to A<br> Please add the method.<br> The angle is 61 (a bit blurry)
deff fn [24]

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:

  • \theta = ∠AOH
  • O = AH = 8
  • A = OH = 19.80

\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}

\implies \sf \angle AOH = 22.00069835^{\circ}

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

  • \theta = ∠BOH = 38.99930165°
  • O = HB
  • A = OH = 19.80

Substituting given values:

\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}

\implies \sf HB=19.80 \tan(38.99930165^{\circ})

\implies \sf HB=16.03332427

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

3 0
2 years ago
Read 2 more answers
Five friends divide three bags of apples equally between them. Write the division represented in this situation as a fraction.
salantis [7]

Answer:

The fraction which would represent this question is \frac{3}{5}

Step-by-step explanation:

The way to represent a division problem as a fraction is to put the dividend (3) over the divisor (5).

3 0
3 years ago
We suspect the overall mean monthly rent of apartments in Shadyside is higher than in Oakland, so we survey a random sample of O
Mars2501 [29]

Answer:

e. Two-sample t-test.

Step-by-step explanation:

This is simply because you only have interval level of measure and you are comparing two populations.

Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.

6 0
3 years ago
Make b the subject of the formula<br><br>A=1/2bh​
r-ruslan [8.4K]

Answer:

\blue{b = \dfrac{2A}{h}}

Step-by-step explanation:

A = \dfrac{1}{2}bh

Step 1. Switch sides.

\dfrac{1}{2}bh = A

Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.

2 \times \dfrac{1}{2}bh = 2 \times A

bh = 2A

Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.

\dfrac{bh}{h} = \dfrac{2A}{h}

Answer:

b = \dfrac{2A}{h}

4 0
3 years ago
What is the greatest factor of 63 that is also a prime number?<br> 7<br> 9<br> 13<br> 21
Brums [2.3K]

Answer:

7

Step-by-step explanation:

Note the factors of each number. Prime numbers are numbers that can only be factored to itself and 1. Note:

Factors of 1:

1

Factors of 3:

1 , 3

Factors of 7:

1 , 7

Factors of 9:

1 , 3 , 9

Factors of 21:

1 , 3 , 7 , 21

Factors of 63:

1 , 3 , 7 , 9 , 21 , 63

6 0
3 years ago
Read 2 more answers
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