Answers
9514 1404 393
Answer:
2.89 m
Step-by-step explanation:
The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.
The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...
Sin = Opposite/Hypotenuse
sin(12°) = (0.6 m)/(PR)
PR = (0.6 m)/sin(12°) ≈ 2.886 m
PR ≈ 2.89 m
The distance to the subject is about 2.89 meters.
Related Questions
At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.
Answers
Answer:
the answer is 25.30
Step-by-step explanation:
1. first you subtract the 15% from the bill that comes out to $27.20
2. next subtract the 7% tax from the $27.20 to get your answer
5x+2y=13
2x+6y+26
what is the answer to the question
Answers
Step-by-step explanation:
5x+2y=13
2x+6y=26
[tex]5x = 13 - 2y \\ x = \frac{13 - 2y}{5} [/tex]
[tex]2( \frac{13 - 2y}{5} ) + 6y = 26[/tex]
[tex] \frac{26}{5} - \frac{4y}{5} + 6y = 26[/tex]
[tex]6y - \frac{4y}{5} = 26 - \frac{26}{5} \\ [/tex]
[tex]5.2y = 20.8 \\ y = 4 \\ x = \frac{13 - 2 \times 4}{5} = \frac{13 - 8}{5} \\ x = 1[/tex]
A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%
Answers
Answer:
$162
Step-by-step explanation:
10% of 180 is 18
180-18=162
The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2
Answers
Answer:
A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
Step-by-step explanation:
Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Cross multiply
[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]
[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]
Subtract [tex] y_2 [/tex] from both sides
[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]
[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]
Divide both sides by -1
[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]
[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
For the function w, w(3) = -2 and w(-2) = 8. If y = w(x), what is the value of y when
x = -2?
Answers
Answer:
6
Step-by-step explanation:
i took the test on edge
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answers
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
Please help! Please show work.
Answers
Answer:
c is the correct option
Step-by-step explanation:
6*2/3=4
20 divided by 2/3=30
– 2y – 10 = x
- 10x - y = -14
Answers
Answer:
hey there guys ^^
Step-by-step explanation:
I need you guys help on dis...like I don’t even know anymore.
Explain if you can please!!
Answers
Match the angle in parallelogram WXYZ with a congruent one
∠XWZ
Answers
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
Answer:
D)XYZ
Step-by-step explanation:
I am pretty sure that's the answer
Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?
Answers
Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.
Answers
Answer:
Step-by-step explanation:
12). By applying Pythagoras theorem in the given right triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
x² = 7² + 7²
x² = 2(7)²
x = [tex]\sqrt{2(7)^{2} }[/tex]
x = [tex]7\sqrt{2}[/tex]
13). By sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]
y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]
y = 18
By cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{y}[/tex]
x = [tex]\frac{y}{2}[/tex]
x = [tex]\frac{18}{2}=9[/tex]
14). By applying Pythagoras theorem in the given right triangle,
12² = x² + x²
144 = 2x²
72 = x²
x = √72
x = 6√2
Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?
Answers
Answer:
[tex]t-223=409[/tex]
Step-by-step explanation:
Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:
[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.
Since Kiran scored 409 points, we can set [tex]k=409[/tex]:
[tex]409+223=t[/tex].
Re-arranging this, we get:
[tex]\fbox{$t-223=409$}[/tex].
Answer:
h
Step-by-step explanation:
j
Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.
Write an equation to find the number of overtime hours she worked on the second day, x.
Answers
Answer:
146.25 divided by 2
Step-by-step explanation:
b)
Work out the size of one interior angle.
NEED HELP WITH B
thanks everyone
Answers
So 540/5 = 108 degrees
A single interior angle of a pentagon is 108 degrees
PLEASE HELP ME NOT TOO HARD
Mary has to spend $12000 on expenses each year. If that amount of money is 20% of her salary, then how much money does Mary make working as an engineer per year?
ALSO PLEASE LEAVE A STEP BY STEP EXPLINATION TY
Answers
Answer:
Total salary = $60,000
Step-by-step explanation:
Well I'm just going to make this short and easy... ok?
12,000=20%
20%x5 = 100%
hmmmm....
12,000 x 5 = ???
Answer = $60,000
what is the coefficient of y in 1 x 4 + 7y
Answers
Who can help with this question please?
Answers
Answer:
Let the sum be x.
Using formula,
I=
100
PRT
=
100
x×
12
15
×
2
15
−
100
x×
12
8
×
2
25
=32.50
⇒
2400
25x
=32.50
⇒x=
25
32.50×2400
=3120
∴ Required sum =Rs.3120
Step-by-step explanation:
6. The diameter of a circle is 9 feet. What is the measure of its circumference? Round to the nearest tenth.
A. 28.3 ft
B. 63.6 ft
C. 4.5 ft
D. 14.1 ft
Answers
Answer:
A.
[tex]C= 28.3 \ \ feet[/tex]
Step-by-step explanation:
Formula for Circumference is
[tex]C=2\pi r[/tex]
We know radius is half of diameter
[tex]r=\frac{d}{2} \\r=\frac{9}{2}[/tex]
[tex]C=2(3.14)\frac{9}{2}[/tex]
[tex]C=(3.14)9\\C=28.3 feet[/tex]
convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210
Answers
Answer: A. 21,120
Step-by-step explanation: Good luck! :D
A. 21,120
What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?
Answers
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
A 35 ounce bag of chips costs $4.99.
What is the price per ounce?
Answers
Answer:
The answer to the question provided is $7.01
what happens to the value of the expression 80_h as h increases from a small positive number to a large positive number
Answers
Answer:
It decreases
Step-by-step explanation:
Hope you don't need an explanation, it decreases is the real answer.
On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?
Answers
She ran 52.16 seconds per 400 meters, how fast was she running in meters per hour?
Answers
Answer:
27607.36 meters per hour
Step-by-step explanation:
400/52.16 = 7.66871165644
7.66871165644 meters per second
7.66871165644 × 60 = 460.122699386 meters per minute
460.122699386 * 60 = 27607.3619632 meters per hour
27607.3619632 meters per hour
(-z-8)-(6z-5)
HELP FAST
Answers
Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.
Answers
Answer:
Step-by-step explanation:
RS + ST = RT
6y + 3 + 4y + 7 = 60
6y + 4y + 3 + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6*5 + 3 = 30 +3 = 33
ST = 4*5 + 7 = 20 + 7 = 27
Step-by-step explanation:
[Diagram in image attached]
RS + ST = RT
(6y +3) + (4y + 7) = 60
6y + 3 + 4y + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33
ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27
RT = 60
{RS + ST = RT
33 + 27 = 60}
HOPE THIS HELPS YOU
MARK AS BRAINLIEST
PleSe please help powaseee
Answers
All triangles = 180°
So 120+26=146
180-146=34
Therefore all angles are the same for each triangle.
5x + 4y = 20 on a graph
Answers
Answer:
5x + 4y = 20 on a graph
Step-by-step explanation:
discover the pattern and continue 1,2,4,7,11,16,_,_,,_,_
Answers
Answer:
Step-by-step explanation
To go from 1 to 2, you add one. To go from 2 to 4 you add two. To go from 4 to 7, you add three. Then you add 4. Then you add 5 and so on.