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morpeh [17]
3 years ago
10

Determine parallel, perpendicular, or neither!

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c
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Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest tenth.
Charra [1.4K]
<h3>Answer:  176.6</h3>

Work Shown:

b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 150^2 + 30^2 - 2*150*30*\cos(150)\\\\b^2 \approx 31194.22863406\\\\b \approx \sqrt{31194.22863406}\\\\b \approx 176.618879608211\\\\b \approx 176.6\\\\

4 0
2 years ago
The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ
Sergeeva-Olga [200]

Answer: H=12 and B=8

Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.

Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>

2.<em> </em>Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.

Hope this helps,

Lacia :))

8 0
3 years ago
The circumference is 1 mile. What is the diameter?
iren2701 [21]

Answer:

Step-by-step explanation:

circumference  = 2* pi * radius = 1

-> radius = 0.1592 mile

-

> diameter = 2* radius = 0.31847 mile

8 0
3 years ago
Can someone please help me with this
PtichkaEL [24]
1. 40m^2 2.150ft^2 3.99in^2 4.70m^2
7 0
3 years ago
Read 2 more answers
What is nine and three hundredths as a fraction and decimal?
Ratling [72]
Decimal=9.03 &
fraction= 9 3/100
8 0
3 years ago
Read 2 more answers
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