MATHEMATICS MIDDLE SCHOOL

Use DE←→ and FG←→ to answer the question. DE←→ contains the points D(1,−2) and E(3,4). FG←→ contains the points F(−1,2) and G(4,0). Is DE←→ perpendicular to FG←→? Why or why not? A.No, because the product of the slopes is not −1. B.Yes, because the product of the slopes is −1. C.No, because the product of the slopes is not 1. D.Yes, because the product of the slopes is 1.

Answers

Answer 1
Answer:

Answer:

A. No, because the product of the slopes is not -1

Step-by-step explanation:

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

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

Therefore:

  • Slope of DE (m1) = (4 - (-2))/(3 - 1) = 3
  • Slope of FG (m2) = (0 - 2)/(4 - (-1)) = -0.4

Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1
Answer 2
Answer:

Answer:

Yes, because the product of the slopes is −1.

Step-by-step explanation:

I took the test :)

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in a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.

Area of a right triangle = ab/2
a = long leg ; b = short leg

Given measures are:
a = 4 yd ; b = 3 yd

A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.

the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.

what is B) also.............

gulfside gifts has 48 boxes of postcards to sell. there are 24 postards in each box. if the shop sell 3 boxes of postcards, how many postcards does the shop hace left to sell. explain how you find the answer

Answers

If you times 24 by 48 then you get 1,152. 3 times 24 is 72. You would then subtract 1,152 by 72 which equals 1,080 postcards left is what the shop has to sell.

Caley has a bag that contains 9 blue marbles and 13 yellow marbles. She selects a marble at random, and then, without replacing the first one, selects another marble at random. What is the probability that Caley selects a blue marble and then a yellow marble? Round your answer to the nearest percent. P(blue and yellow) ≈ %

Answers

The answer would be 24%.

You need to multiply the probabilities of each of those circumstances occurring separately (9/22 for choosing a blue one and 13/22 for choosing a yellow one) in  order to find the probability of them happening in a row.

9/22 * 13/22 * 100% ~ 24%

How do you show your work for 4.71- 3.82=

Answers

answer is 0.89 sorry for bad drawing and putting 89 as the answer instead of 0.89

Graph the equation on the coordinate plane y=1/3x

Answers

If you want to graph something on a coordinate plane online, I suggest you use Desmos. It is a free online graphing calculator.


Glad I could help!

In △ABC, m∠A=72°, c=61, and m∠B=16°. Find the perimeter of the triangle.

Answers

The perimeter of the triangle is about 136

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

cosec ~ A = (1)/(sin ~ A)

sec ~ A = (1)/(cos ~ A)

cot ~ A = (1)/(tan ~ A)

tan ~ A = (sin ~ A)/(cos ~ A)

Let us now tackle the problem!

This problem is about Sine Rule.

First of all, we will calculate the ∠C :

∠A + ∠B + ∠C = 180°

72° + 16° + ∠C = 180°

∠C = 180° - 72° - 16°

∠C = 92°

Next, we will use the Sine Rule to find the length of the other side of the triangle.

(c)/(\sin \angle C) = (b)/(\sin \angle B)

(61)/(\sin 92^o) = (b)/(\sin 16^o)

b \approx \boxed {16.82}

(c)/(\sin \angle C) = (a)/(\sin \angle A)

(61)/(\sin 92^o) = (a)/(\sin 72^o)

a \approx \boxed {58.05}

Finally, we can find the perimeter of a triangle with the following formula

\text{Perimeter of the triangle} = a + b + c

\text{Perimeter of the triangle} = 58.05 + 16.82 + 61

\text{Perimeter of the triangle} \approx \boxed {136}

Learn more

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse  

Answer:

136

Step-by-step explanation:
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