i need help with 8-35 and 8-36

Answer:

Option C is the correct answer.

Step-by-step explanation:

[tex] \angle C[/tex] is opposite [tex] \overline{AB} [/tex]

So the right answer is (2,-5)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Midpoint (2 , -5)

Step-by-step explanation:

RULE: (midpoint)

Consider P(x1,y1)and Q(x2,y2) two points:

the midpoint M(x,y) of the segment PQ is defined like this:

[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]

In our case

x1 = 6 ; y1 = -3

x2 = -2 ; y2 = -7

then

[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]

Answer:

AB = 3.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the length of prism )

Here V = 84 and h = 12 , thus

12A = 84 ( divide both sides by 12 )

A = 7 ← area of Δ ABC

Thus

[tex]\frac{1}{2}[/tex] × 4 × AB = 7

2AB = 7 ( divide both sides by 2 )

AB = 3.5 cm

Answer:

B. 20

Step-by-step explanation:

60 = 2x + 20

40 = 2x

40/2 = 2x/2

20 = x

Hope this helps :)

Answer:

B. 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

first, lets find the slope:

m=(y2-y1)/(x2-x1)

m=(3-2)/(6-(-1))

m=1/7

y=(1/7)*x+b

to find b lets pug in a point we know into the equation:

3=(1/7)*6+b

21/7=6/7+b

b=(21/7)-(6/7)

b=15/7

now we know the equation in slope intercept form representing this function is:

y=(1/7)*x+(15/7)

Answer:

y= 1/7x+15/7

Step-by-step explanation:

points

(-1, 2)  and  (6, 3)

slope intercept form:

2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7

Answer:

About 84% of the people have test scores that make them eligible to be interviewed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 55, \sigma = 12[/tex]

A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?

This is 1 subtracted by the pvalue of Z when X = 43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{43 - 55}{12}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

1 - 0.1587 = 0.8413

Rounding to the nearest percent

About 84% of the people have test scores that make them eligible to be interviewed

Answer:

Hope it helps :]!!!!!!!

Question:

40 adults were asked what languages they could speak English Filipino Spanish

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

1. How many spoke just one language

English Filipino Spanish

2. How many spoke atleast two languages

Answer:

1.) 20

2.) 19

Step-by-step explanation:

Given the following :

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

Kindly check attached picture for detailed explanation

Answer:

The cost per duck is $5.00 and $8.00 for chickens

Step-by-step explanation:

The equation would be like this:

50c + 30d = 550 (divide this by 10)

5c + 3d = 55

3d = 55 - 5c (multiply by 3)

9d = 165 - 15c

Next,

44c + 36d = 532 (divide this by 4)

11c + 9d = 133

11c + 165 - 15c = 133

11c - 15c = 133 - 165

-4c = -32 (divide by -4)

c = 8

Therefore, the cost of each chicken is $8.00

9d = 165 - 15c

9d = 165 - 15(8)

9d = 165 - 120

9d = 45 (divide by 9)

d = 5

Answer:

Hope this is correct

Answer:

answer is 12

Step-by-step explanation:

because 5×4=20

so u have to multiply 4 and three

3×4=12

and u can reduce it to

6/10 and reduce it again to

3/5

Answer:

1

Step-by-step explanation:

Plug in the x value.

3(5)-14

3(5)=15

So then you do 15-14

Which equals to 1

Hope this helps! Plz mark brainliest!!

Answer:

1

Step-by-step explanation:

1. 3(5)-14     first substitute

2. 15-14

3. 1

Answer:

A Graph = C ; B Graph = D ; C Graph = B ; D Graph = A

Step-by-step explanation:

Answer:

a. = C.

b. = D.

c. = B.

d. = A.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

Answer:

x = -2 and y = 1

Step-by-step explanation:

for details see image

Answer:

Triangle (A) reflected over the line y = x

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of triangle (A) are A(1, 4), B(1, 2) and C(2, 2)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(4, 1), B'(2, 1) and C'(2, 2)

Lets choose point A to find the rule of transformation,

A(1, 4) → A'(4, 1)

Rule → (x, y) → (y, x)

It shows triangle (A) has been reflected across a line y = x.

Therefore, triangle (A) maps onto triangle (B) when reflected over the line y = x.

Answer: 17 feet

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(10-6)^2

4^2=16

Answer:

- 3 1/4

Step-by-step explanation:

-3 3/4 + 1/2 = - 15/4 + 2/4 = - 13/4 = - 3 1/4

Answer:

-13/4 + 1/2 = -3 1/4

Step-by-step explanation:

-3 -3/4+ 1/2

-3/4 + 1/2

-3/4 +2/4 = -1/4

-3 -1/4  = -3 1/4      

Answer:

√(30) - 3√(2) + √(55) - √(33) / 2

Step-by-step explanation:

Answer: about $22 or 21.6 in decimal form

Step-by-step explanation: $6.00 - 10% is 5.4

5.4 + 5.4 +5.4+5.4 is 21.6 or $22 rounded up

Answer:

Step-by-step explanation:

Firstly,

What is the mean?

The mean is where you add up all the number then divide the total by how many numbers there are.

8th number?

1.4.1

2. 5.7

3. 6.1

4. 2.3

5. 3.1

6. 4.5

7. 4.1

8. x

Opposite way:

4.1 + 5.7 + 6.1 + 2.3 + 3.1 + 4.5 + 4.1 = 29.9

(29.9 x) / (8) = 3.7375

3.7375 + x = 4.1375

4.1375 - 3.7375 = 0.4

Answer:

Okay: y = 4x - 1

Step-by-step explanation:

So,

1 x 4 = 4 - 1 = 3

2 x 4 = 8 - 1 = 7

3 x 4 = 12 - 1 = 11

Hope this helps you. :)

Have a good day!

(brainliest would be appreciated)

Answer:

83.7 %

Step-by-step explanation:

To get the area of the shaded region, we will following these steps.

Step one: Get the area of the sector of the circle.

The area of the sector of the circle can be obtained using the formula:

[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]

Theta will be 60 degrees because triangle OAD is an equilateral triangle

Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]

Step Two: Get the area of the equilateral triangle

The area of the equilateral triangle can be got using the formula

[tex]Area = \frac{1}{2} Base \times Height[/tex]

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.

This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]

Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]

Step Three: Subtract the area of the triangle from the area of the sector

Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]

Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:

Expressing the ratio of the two areas as a percentage, we have

[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %

Answer:

Step-by-step explanation:

[tex]x = 4\\ y = -1 \\ z= -3\\2x(3y -4z)\\= 2(4) [3(-1)-4(-3)] = 8(-3+12)\\=8 (9)\\\\=72\\\\3(5x + 4z)\\3[5(4)+4(-3)]\\3(20-12)\\3(8)\\= 24[/tex]

Answer:

A

Step-by-step explanation:

11.4-15.7 = -4.3

Answer:

A. -4.3 F

Step-by-step explanation:

Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,

11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.

If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.

Answer:

B-1

Step-by-step explanation:

You can draw a vertical line of symmetry in the middle of the figure. This would be one line.

Answer: C

Step-by-step explanation:

We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.

Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.

Answer:

x r 1.26 cm

Step-by-step explanation:

This can easily be solved by congruence.

Both triangles have the same proportions.

9.8 : 8.8 = (2 + 9.2) : (x + 8.8)

Because these are proportional, we can use and write this as if they were fractions.

9.8 / 8.8 = (2 + 9.2) / (x + 8.8)

multiply crosswise, gives:

9.8 * (x + 8.8) = (2 + 9.2) * 8.8

9.8 * x + 9.8 * 8.8 = (11.2) * 8.8

9.8 * x + 86.24 = 98.56

9.8 * x = 98.56 - 86.24

9.8 * x = 12.32

Divide left and right of the = sign by 9.8 gives,

x = 12.32 / 9.8

x = 1.2(571428)

x = 1.26 cm

Answer:

Length of the pole = 12.2ft

Step-by-step explanation:

Hello,

According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.

See attached document for better illustration.

To solve this problem, we'll have to make use of pythagorean theorem

According to pythagorean theorem,

X² = y² + z²

X = ?

Y = 10ft

Z = 7ft

X² = 10² + 7²

X² = 100 + 49

X² = 149

X = √(149)

X = 12.2ft

The length of the pole is 12.2 ft

Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.

Good luck