MATHEMATICS MIDDLE SCHOOL

What is the slope of (-3,12) and (-8,17)

Answers

Answer 1

Answer:

Step-by-step explanation:

(-3,12) and (-8,17)

y2 = 17, y1 = 12 , x2 = -8, x1 = -3

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

m = (17 - 12)/(-8 + 3)

m = 5/-5

m = -1

Answer 2

Answer:

- 5/11

Step-by-step explanation:

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9. A person stands at the window of a building so that his eyes are 12.6 m above the level ground. Anobject is on the ground 58.5 m away from the building on a line directly beneath the person. Compute

the angle of depression of the person's line of sight to the object on the ground.

Answers

The angle of depression of the person's line of sight to the object on the ground is 12.15°.

The information forms a right angle triangle. The person eyes above the ground is the opposite side of the triangle. The object distance from the building in line of the sight is the adjacent side of the right angle triangle.

Therefore,

using trigonometric ratio,

tan Ф = opposite /adjacent

tan Ф = 12.6 / 58.5

tan Ф = 0.21538461538

Ф = tan⁻¹ 0.21538461538

Ф = 12.1549416972

Ф = 12.15°

angle of depression ≈ 12.15°

Answer:

$\theta = 12.16^0.$

Step-by-step explanation:

Given,

Height = 12.6 m

Object distance from the person = 58.5 m

Angle of depression

$tan \theta = (P)/(B)$

$tan \theta = (12.6)/(58.5)$

$tan \theta = 0.2154$

$\theta = 12.16^0$

Hence, angle of depression is equal to $\theta = 12.16^0.$

Explain how to use the distributive property to compute104x57

Answers

104 x 57 = (100 x 57) + (4 x 57) = 5700 + 228 = 5928

Find the percent change of 40 to 72

Answers

If you would like to know what is the percent change of 40 to 72, you can calculate this using the following steps:

x% of 40 = 72
x% * 40 = 72
x/100 * 40 = 72 /*100/40
x = 72 * 100 / 40
x = 180%

180% - 100% = 80%

The correct result would be an 80% increase.

40 to 72 would be 80%

#1 What is the value of the expression 7–3? Answers: A. –21B. - 1/343 C.1/343 D. 343

#2What is the value of the expression 1/5^-5? Answers: A. 1/3125 B.1/25 C.25 D. 3125

#3What is the value of the expression 2/4^-3?Answers: A. 1/32 B. 1/6 C.128 D.256

#4 What value of k solves the equation? K^-2=1/64 Answers: A.1/8 B. 8 C. 32 D. 128

#5 What value of n solves the equation? 4^N= 1/64 Answers: A. –3 B. 3 C. 16 D. 256

Answers

First question

The given expression is

$7^(-3)$

Which can also be written as

$(1)/(7^3)= (1)/(343)$

Therefore the correct option is C.

The given expression is

$(1)/(5^(-5))$

Which can also be written as

$5^5 = 3125$

So the correct option is D

The given expression is

$(2)/(4^(-3))$

Which can also be written as

$2*4^3 = 2* 64=128$

And the correct option is C

The given equation is

$k^(-2) = (1)/(64) \n k^2 = 64 \n k^2 = 8^2 \n k=8$

So the correct option is B

The given equation is

$4^N = (1)/(64) \n 4^N = 4^(-3) \n N =-3$

And the correct option is A .

$\#1\ \ \ 7^(-3)= (1)/(7^3) = (1)/(343)\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n \#2\ \ \ (1)/(5^(-5))=5^5=3125\ \ \ \Rightarrow\ \ \ \ Ans.\ D\n \n \#3\ \ \ (2)/(4^(-3))=2\cdot4^(3)=2\cdot 64=128\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n\#4\ \ \ K^(-2)= (1)/(64) \ \ \Rightarrow\ \ \ (1)/(K^2) = (1)/(64)\n\n .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ K^2=64 \ \ \Rightarrow\ \ K=8\ \ \Rightarrow\ \ Ans.\ B\n \n$

$\#5\ \ \ 4^N= (1)/(64)\ \ \Rightarrow\ \ \ 4^N=4^(-3)\ \ \ \Rightarrow\ \ \ N=-3\ \ \ \Rightarrow\ \ \ Ans.\ A$

Find area of the circle to nearest tenth. Use 3.14 as pi. Diameter of circle is 2.8