Question 1
If mZHOE =19° and mZHOP=48°, find mZEOP.
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Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]

[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]

[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{36+25}[/tex]

[tex]d=\sqrt{61}[/tex]

Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.

Answer:

Step-by-step explanation:

First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region

Area of Circle

Here, r=radius

area of circle= π×r²

                     = π × 5²     (radius=half of diameter)

                     = 25π

                     = 78.54cm²

Area of Triangle

Here, b=base, h=height

area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h

                          = [tex]\frac{1}{2}[/tex]×8×6

                          = 24cm²

Area of shaded region= area of circle - area of triangle

                                     = 78.54 - 24

                                     = 54.54

                                     ≈ 54.5cm² [Ans]

Answer:

Y: 0, x:0

Y:1, x: 3

Y: 2, x: 6

Y: 3, x:9

Step-by-step explanation:

Plug in the x to get the y

Answer:g(x) is flipped and 2 times as steep and shifted left 5

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

the slope of each line is 5/6 which means the lines are parallel

Answer:

Multiply each side by 6

Step-by-step explanation:

27 = m/6 - 3

Add 3 to each side

27+3 = m/6 - 3+3

30 = m/6

Multiply each side by 6

30*6 = m/6*6

180 = m

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

yes, i think it is correct :)

Step-by-step explanation:

Answer:

2,165 + 2571 + 1,678 = 6,414

Step-by-step explanation:

We can say;

=> 2,165 + unknown number + 1,678 = 6,414

So let's add like terms first;

=> 3,843 + unknown number = 6,414

=> unknown number = 6,414 - 3,843

=> unknown number = 2571

Hope this helps!

Answer:

2571

Step-by-step explanation:

Let x be the blank.

2165 + x + 1678 = 6414

3843 + x = 6414 (combine like terms)

x = 2571

Answer:

The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive

Answer:

225in

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10

Answer:

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Step-by-step explanation:

For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.

This means that [tex]p = 0.3[/tex]

A sample of 15 babies is studied.

This means that [tex]n = 15[/tex]

What is the probability that exactly 5 of them weigh more than 20 pounds

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Answer:

3408

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216

Answer:

Given function:

Fill in the table by substituting the value of x:

The graph is attached

Answer:

10/35

Step-by-step explanation:

4*2.5=10

14*2.5=35

4/14=10/35

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Answer:

-12

Step-by-step explanation:

f (x)=6x – 6

Let x= -1

f(-1) = 6(-1) -6

      = -6-6

     = -12

Answer: 4374

Step-by-step explanation:

Answer:

B. 56° and 38°

Step-by-step explanation:

The sum of each of the two angles sums up to 90° ;

A.) 13° and 77°

Sum of A ; (13 + 77)° = 90°

B.) 56° + 38°

Sum = 56° + 38° = 94°

C) 37° and 53°

Sum = 37° + 53° = 90°

D.) 42° and 48°

Sum = 42° + 48° = 90°

Hence, the pair of degree measure which does not belong is B. 56° and 38°

Answer:

4.605170185988091

Step-by-step explanation:

ln 100 = 4.605170185988091

e^4.605170185988091 = 100

Step-by-step explanation:

100=1 log 10(1)=0

I hope this is helpful for you

Answer:

[tex]3\sqrt{10}[/tex]

Step-by-step explanation:

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65