NEED HELP ASAP!!!
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answers
Answer:
Approximately 85 m
Step-by-step explanation:
Let x represent the distance between the origination point and the target
Distance between original point and mirror 1 = 120 m
Distance between mirror 1 and mirror 2 = 90 m
The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°
Use Cosine rule to find x as shown below:
Use The Law of Cosines to find side a first:
[tex] a^2 = b^2 + c^2 - 2bc \times Cos(A) [/tex]
Where,
a = x
b = 90 m
c = 120 m
A = 45°
Plug in the values
[tex] x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45) [/tex]
[tex] x^2 = 22,500 - 21,600 \times Cos(45) [/tex]
[tex] x^2 = 22,500 - 15,273.5065 [/tex]
[tex] x^2 = 7,226.4935 [/tex]
Square both sides
[tex] x = \sqrt{7,226.4935} [/tex]
[tex] x = \sqrt{7,226.4935} [/tex]
x ≈ 85 m
Answer: AAAAAAA-85!!!!!
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Determine the value of x in the figure.
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Answer:
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Step-by-step explanation:
and rest one is 70°
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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NOT C=5.4
Answers
Answer:
c = 4
Step-by-step explanation:
x + 5x = 12/5
30x = 12
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Answers
Hello
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is this a function?
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Answers
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Answers
Answer:
1) c=100
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Step-by-step explanation:
When I write ^# that means it's squared and has a number above it :)
You're welcome :)
FIRST, FASTEST CORRECT ANSWER GETS BRAINLIEST
Here is a triangular prism.
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Needed ASAP!
Answers
Answer:
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Step-by-step explanation:
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Find the sale price to the nearest cent.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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Answers
Answer:
the time needed to get to the arch is 6 per hour
Step-by-step explanation:
The computation of the time needed to get to the arch is shown below:
As we know that
Speed = distance ÷ time
where,
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And, the same is to be considered
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Answers
Answer:
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Step-by-step explanation:
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A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.
Convert this fraction into a decimal.
6
10
=
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Answers
Help me please
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Answers
X interception means that y=0
Answer 1: -3
Answer 2: 5
Refer to the picture for calculations
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Answer:
30.5
Step-by-step explanation:
cos18=29/x --> reciprocate for simplicity : 1/cos18=x/29 --> solve for x
Mrs. Loar has to grade 75 papers. Mrs. Holt is helping her grade. Mrs. Loar graded 60 papers and Mrs. Holt graded the rest. What percent of the papers did Mrs. Holt grade? Use a double number line to solve the problem.
Answers
Answer:
25%
Step-by-step explanation:
Mrs. Loar has to grade 75 papers. Mrs. Holt is helping her grade. Mrs. Loar graded 60 papers and Mrs. Holt graded the rest.
Hence, the amount of papers Mrs Holy graded is = 75 - 60
= 15 papers
What percent of the papers did Mrs. Holt grade?
This is calculated as:
15/60 × 100 = 25%
Hence, Mrs Holy graded 25% of the papers
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Answers
Answer:
use the corner ofa paper to see if its obtuse it should be long and wide if its acute it should be a corne
Step-by-step explanation:
d+7 divided by −3=4.
Answers
Answer:
- 19
Step-by-step explanation:
Step 1:
d + 7 ÷ - 3 = 4 Equation
Step 2:
d + 7 = - 12 Multiply
Step 3:
d = - 12 - 7 Subtract
Answer:
d = - 19
Hope This Helps :)
After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
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B
108 cm
-18 cm
D
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Answers
Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second
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Answers
Answer:
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Step-by-step explanation:
Hope this helps!
Y=x^2-10x-18
Write down the information that can be obtained from the equation above?
Determine the vertex form
Answers
Answer:
Vertex form is y=(x-5)^2-43
Step-by-step explanation:
Given expression: x^2-10x-18
Take half of b:
-10/2=-5
Square the result:
-5^2=25
Add and subtract into original expression:
x^2-10x+25-25-18
Factor and simplify:
(x^2-10x+25)-25-18
(x-5)^2-25-18
(x-5)^2-43
So the vertex form is y=(x-5)^2-43
where do i plot the point?
Answers
Answer:
This should help
Step-by-step explanation:
1.05, 1.09 and 1.1 are close to each other so I marked where each one should go
Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
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Answers
Answer:
$21,920
Step-by-step explanation:
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Answers
Answer:
[tex]x=(-12,0)[/tex]
[tex]y=(0,3)[/tex]
Step-by-step explanation:
x-intercept
[tex]-2(x-4y)=24[/tex]
[tex]x-4y=-\frac{24}{2}[/tex]
[tex]x-4y=-12[/tex]
[tex]x=4y-12[/tex]
[tex]x=4(0)-12[/tex]
[tex]x=-12[/tex]
y-intercept
[tex]-2(x-4y)=24[/tex]
[tex]x-4y=-\frac{24}{2}[/tex]
[tex]x-4y=-12[/tex]
[tex]-4y=-12-x[/tex]
[tex]y=-\frac{-12-x}{4}[/tex]
[tex]y=-\frac{-12-(0)}{4}[/tex]
[tex]y=\frac{12}{4}[/tex]
[tex]y=3[/tex]