Answers
Hi there!
[tex]\large\boxed{AC \approx 483 ft}}[/tex]
AC is the hypotenuse, so we can use a trig formula to solve.
We are given the adjacent side, AB, so we must use cosine. Recall that:
cosθ = A/H
Thus:
cos(21.3) = 450 / H
Rearrange:
H = 450 / cos(21.3)
Use a calculator to evaluate:
H = 482.99 ≈ 483 ft.
Answer:
AC ≈ 483
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )
AC × cos21.3° = 450 ( divide both sides by cos21.3° )
AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )
Related Questions
There is a positive correlation between number of TVs owned by a person, x, and the average life expectancy, y. What conclusion is TRUE?
Answers
Answer:
c
Step-by-step explanation:
i think this is right
Tara bought one share of Apple stock in 2018 for $43.75. Then, three years later, she sold it for $136.76. How much money did she gain/lose with this stock? What was her return on investment?
Answers
Answer:
Gain= $93.01
ROI= 212.59%
Step-by-step explanation:
Given data
Cost of apple share in 2018 = $43.75
Sale price of apple share= $136.76
1. Her gain is
Gain= Sales price- Cost price
Gain = 136.76-43.75
Gain= $93.01
2. ROI is
ROI= Gain/cost*100
ROI= 93.01/43.75*100
ROI=2.1259*100
ROI= 212.59%
Question 9
The triangles shown are
Answers
Answer:
The triangles shown are proportional
Step-by-step explanation:
Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.
B = N
M = M
12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.
Side MN would be 12
Side MP would be 16
What is the volume of a hexagon of 6.2 cm 9 cm and 5cm ?
Answers
-4(7.5x-8)=-5(6.3x+8)
Answers
Answer:
x = -48
Step-by-step explanation:
-4(7.5x - 8) = -5(6.3x + 8)
-30x + 32 = -31.5x - 40
-30x + 31.5x = -40 - 32
1.5x = -72
x = -72/(1.5)
x = -48
Can someone help me with this ?
Answers
I NEED THIS ASAP
Solve for X
Answers
Answer:
x^2 = 10
x = square root symbol with 10 underneath
Or x = 3.16227 (round to appropriate place)
—————
x^3 = 316
x = cubed root symbol with 316 underneath
or x = 6.81128 (round to appropriate place)
I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.
what is eight less than a number as an algebraic expression
Answers
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
An interior angle and an exterior angle are adjacent. The exterior angle measures 113 what is the measure of the interior angle
73
67
77
63
Answers
Answer:
77 is the correct answer I think so
Answer:
a)77
Step-by-step explanation:
An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
Answers
Answer:
7.5 m
Step-by-step explanation:
circumference = 360/72 × 3π = 15π
so the radius of the circle =
15π / 2π = 7.5 m
The dimensions of a rectangular plot of land are
28.3 m by 53.7 m. Find
(i) the perimeter of the land, correct to the nearest
10 m,
(ii) the area of grass needed to fill up the entire
plot of land, correct to the nearest 100 m².
Answers
Area is 28.3*53.7 =151971, move decimal over two places, 1519.71
Nearest 100m squared is 1500m squared
How to factorise this question
Answers
Answer:
Step-by-step explanation:
90-2(a-3)^2
=88{(a)^2-2*a*3+(3)^2]
=88[a^2-6a+9}
=88a^2-528a+792
Helppp hellppp helppp pleasee
Answers
Which coordinate grid shows M plotted at (4,3)
Answers
Answer:
B
Step-by-step explanation:
4,3 is x 4 y 3
Answer:
B
Step-by-step explanation:
graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times
On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F
Answers
Answer:
(A) -9 °F
Step-by-step explanation:
On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill
temperature only reached¼ of Sunday's wind chill temperature. What was the
lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F
Sunday temperature = - 36 °F
Monday temperature = ¼ of Sunday's wind chill temperature
Monday = 1/4 of - 36 °F
= 1/4 * -36 °F
= (1 * -36)/4 °F
= -36/4 °F
= -9 °F
Monday temperature = -9 °F
The correct answer is (A) -9 °F
find the slope of the line which passes through (-2, -2) and (2, -4)
HELP ME PLS
Answers
Answer:
-1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - (-2) / 2 - (-2)
-2 / 4
= -1/2
help me plzz plzzz plzzzz
Answers
Answer:
60 degree
Step-by-step explanation:
a hexagon has a total sum of angles equal to 720
720/6 = 120
180-120 = 60
Victo scored 8, 10, 8, 9, and 10 points on his first five math quizzes. He calculated the median before and after he took the sixth quiz. The median did not change. How many points did he score on his sixth quiz? pls help!
Answers
Answer:
9
Step-by-step explanation:
the median is 9 and to keep it the same you put 9
Hope this helps!!!
What is the solution to the system of equations below?
2 x + y = 7 3 x + 2 y = 16
Answers
Answer:
2x+y=7; 3x+2y=16
X = -2
Y = 11
5ft and 12ft What is the length of the hypotenuse? feet
Answers
Answer:
The answer is 13 feet.
Step-by-step explanation:
Assuming that the lengths 5ft and 12ft are the legs of the triangle, use the Pythagorean Theorem to find the unknown length of the hypotenuse:
a^2 + b^2 = c^2
Now, simply plug in the values of the triangle legs:
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
Answer:
13 ft
Step-by-step explanation:
The formula to find the length of the hypotenuse is:
[tex]a^2+b^2=c^2[/tex]
---------------------------------------------------------------------------------------------------------------
So:
25 + 144 = 13
Have a good day :)
You work at a public golf course. You have a budget of $300 for supplies for the month. The golf course can buy golf balls at a price of $0.80 each.
Write an inequality that states the number of golf balls you can buy at this price and still have $200 left in your budget for other items.
(please give nice clear real answers otherwise you will be reported, thank you soo much!)
Answers
Answer:
200 + 0.8x = 300
200 + 0.8x = 300
- 200 - 200
---------------------------
0.8x = 100
---------------
0.8 0.8
x = 125
Step-by-step explanation:
You have a TOTAL of 300 and want to spend it on the golf course. 200 MUST REMAIN in order to purchase other items. Golf balls are at a price of 0.8 EACH. The amount of golf balls that can be purchased is unknown so we can place x as the number of balls purchased for 0.8 each. (I bolded some words because it can help to how to set up an equation and where they should go. :D) I hope my explanation is clear enough for you to understand. I also solved the inequality above ^^^! I hope this helps!
If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor
Answers
Answer:
- 12
Step-by-step explanation:
The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)
Round your answer to the nearest hundredth
Khan Academy
Answers
Answer:
Step-by-step explanation:
take 40 degree as reference angle
using cos rule
cos 40=adjacent/hypotenuse
0.76=5/x
0.76x=5
x=5/0.76
x=6.578
x=6.58
Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinations. How many times will all 5 photos appear in all of the printed brochures? How do you know your answer is reasonable?
Answers
Answer:
All 5 photos will appear once in all the printed brochures
Step-by-step explanation:
Given
[tex]Copies = 2102[/tex]
[tex]Photos =5[/tex]
Required
The number of times the photo will appear
The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.
From the question, we understand that the photos will appear once in a copy.
By extension, the 5 photos will appear once in other copies.
There are 9 crates of oranges. There are 18 boxes of oranges in each crate. There are 6 bags of oranges in each box. How many bags of oranges are there in all?
Answers
Answer:
972
Step-by-step explanation:
First, multiply 6 and 18 together to get 108.
Next, multiply 108 and 9 together to get your final answer of 972.
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
A.Subtract 13 from both sides
B.Add 7x to both sides
C.Add 2 to both sides
D.Subtract 4x from both sides
Answers
Answer:
E.? subtract 2 on both sides
Step-by-step explanation:
the wording (to me) is mixed up for a and c
sry if its not correct
2+13=7x-4x
15=3x
15/3=x
5=x
what's the value of x and y?
Answers
Answer:
x = 45 and y = 90
Step-by-step explanation:
Let the third angle be z
z = 180 - 135 (Linear Pair)
z = 45
Since its an iscosceles triangle,
<z = <x (angles opposite to equal sides have equal angles)
<x = 45 degree
<z + <x + <y = 180
45 + 45+ <y = 180
90 + <y = 180
<y = 180 - 90
<y = 90
Therefore x = 45 and y = 90
Hope u understood please mark as brainliest
Thank You
Answer:
x= 45°
y= 90°
Step-by-step explanation:
x= angles on a straight line add up to 180°. 180°-135° = x.
y= x+y=135° & x =45°
135°- 45° = y
(50 points) Subtract. (−8.3x+4)−(3.2x−5) Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answers
Answer:
(−8.3x+4)−(3.2x−5)
(−8.3x+4)−3.2x+5
−8.3x+4−3.2x+5
-11.5x+9
Step-by-step explanation:
Find an explicit rule for the nth term of the sequence.
-2, -8, -32, -128
Answers
Answer:
[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = - 8 ÷ - 2 = - 32 ÷ - 8 = - 128 ÷ - 32 = 4
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 4 , then explicit formula is
[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]
what is the question of 1.892 x 10^8 and 4.3 x 10^3 expressed in a scientific notation
____ x 10^—
PLS ANSWER ASAP