Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)
Answers
Answer:
GIVEN :-
∠A = 15°Length of AB (hypotenuse) = 60 ftTO FIND :-
Length of BCLength of ACArea of ΔABCFACTS TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex]SOLUTION :-
In ΔABC ,
[tex]\sin 15 = \frac{BC}{60}[/tex][tex]=> 0.2588... = \frac{BC}{60}[/tex]
[tex]=> BC = (0.2588....) \times 60 = 15.5291.....[/tex] ≈ 15.5 ft
[tex]\cos 15 = \frac{AC}{60}[/tex][tex]=> 0.9659..... = \frac{AC}{60}[/tex]
[tex]=> AC = (0.9659.....) \times 60 = 57.9555.....[/tex] ≈ 58 ft
Area of ΔABC = [tex]\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2[/tex]
Related Questions
Write a congruence statement for the pair of triangles
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The others have sides that do not correspond.
PLEASE HELP!!!!!!!!!!!
-4x + 2 ≥ 20
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Answer:
[tex]-4x + 2\geq 20\\-4x\geq 20 -2 \\-4x \geq 18\\x\leq -4.5[/tex]
Step-by-step explanation:
Answer:
x≤−92
Step-by-step explanation:
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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Answer:
I think it's D
Step-by-step explanation:
Answer:
I think it is C.
Step-by-step explanation:
I think it's C because the 2 is showing how long it took to get to the library.
4 - 3x = 7 - 4x what is x?
Answers
Answer:
-1 if i'm correct.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
3
Step-by-step explanation:
4-3x=7-4x
4=7-1x
-3=-1x
3=x
please help me out. i needa turn it in by the ena the day. Ill mark you brainliest
Answers
Answer:
B
Step-by-step explanation:
Answer:
B The rate of change is constant and represents the cyclist's speed of 1120 ft/min
Step-by-step explanation:
The difference is always 1120ft for each minute
what percent of 25$ is 5$ no links
Answers
Answer:
20%
Step-by-step explanation:
5 20% = 100%
Answer:
20% is 5$.
Step-by-step explanation:
Ok - these always need a bit of a read to make sure we're answering the right thing.
"What percent..." asks us for a percentage. Ok - good.
"...of 25..." asks us to take the number (25) and multiply it by the percentage we're going to find.
"...is 5" tells us what the answer we're looking for is. So we have:
25 × P = 5
- 25 times some percentage equals 5.
We can treat P as a variable and so can divide both sides by 25:
p = 5/25 = 1/5 = 0.2 = 20%.
The volume and the radius of a cone and cylinder are the same, and the height of the cone is 24 find the height of the cylinder
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Answer:
8
Step-by-step explanation:
8
Please Help!!! What is x and do I find it?
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I don’t know what you’re rounding to though, so round that as needed.
In which quadrants would sine and cosine have the same sign (positive or negative)? Explain your answer.
Answers
The quadrants in which sin and cosine will have same sign are :
=》1st quadrant - both have positive values
=》3rd quadrant - both have negative values
The equation of a line is y = 3x - 6
What is the y-intercept of the line?
Enter your answer in the box.
TI
Answers
Answer:
-6
Step-by-step explanation:
Answer:
The y- intercept is -6
y= mx+b is the formula the y- intercept will always be "b"
Convert four hundred over a thousand as a decimal.
Answers
Answer:
4%
Step-by-step explanation:
I will fail if i dont pass this test plzz help!!
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Answer:
i dont know if this will help but i searched it up and it and it gave me a graph, i felt bad so here
Step-by-step explanation:
HELP ASAP! Find x.
Round to the nearest tenth:
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Answer:
answer is in the image. hope it helps.
1. divide 12.4 by 4
2. divide the fraction by 4/5 divide 1/15
3. ehat is the quotient between the mixed number 2 1/2 and 1/4
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2) 12
3) not sure
What is the perimeter, in centimeters, of the figure
shown below?
2 cm
3 cm
5 cm
5 cm
Answers
Answer:
30 cm
Step-by-step explanation:
add all sides and use 7 for the bottom line because 5+2=7 and use 8 for the side because 5+3=8.
If you could help it would be good
Answers
Answer:
What are you trying to solve?
Step-by-step explanation:
Answer:
16. length=4
18. length=7
Step-by-step explanation:
Formula = area=length x height
16. 44=11xL
44 divided by 11 equals 4
18. 49=7xL
49 divided by 7 equals 7
PLEASE HELP IM STUCK
Where is ( 0, -5 ) on the coordinate plane?
Quadrant III
x Axis
y Axis
origin
Quadrant IV
Quadrant I
I
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hii! help asap. i’ll give brainliest thanks!
Answers
Answer D
Step-by-step explanation:
The two-dot plots below show the number of miles run by 14 students at the beginning and end of the school year.
Answers
Answer:
Step-by-step explanation:
From the dot plot of start of school year,
Maximum value of the miles run = 10
Minimum value of the miles run = 5
Range of the data set = 10 - 5
= 5 miles
From the dot plot of End of school year,
Maximum value of the miles run = 10
Minimum value of the miles run = 6
Range of the data set = 10 - 6
= 4 miles
The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.
what is the answer -4h=-14
Answers
The Answer Is H=3.5
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Answer:
[tex]h = \frac{7}{2} [/tex]
Step-by-step explanation:
1) Divide both sides by -4.
[tex]h = \frac{ - 14}{ - 4} [/tex]
2) Two negative makes a positive.
[tex]h = \frac{14}{4} [/tex]
3) Simplify 14/4 to 7/2.
[tex]h = \frac{7}{2} [/tex]
Therefor, the answer is 7/2.
The attendance office creates a bar graph to display the number of students tardy throughout the month. What is the range of the number of students tardy during the first five months of the year?
Answers
Answer:
60
Step-by-step explanation:
To find the range you subtract the highest and lowest value
The highest value on this graph is 105 from the month of May and the lowest value is 45 from the month of March.
When you do 105-45 you get 60 which is the range
Evaluate the expression for k = 2. –9 + 7k =
Answers
Answer:
k = 7/6
Step-by-step explanation:
Polygon B is a scaled copy of Polygon A. What is the scale factor from A to B?
Answers
Answer:
scale factor = 2
Step-by-step explanation:
Determine the ratio of corresponding sides, image to original
scale factor = [tex]\frac{5}{2.5}[/tex] = 2
Answer:
2
Step-by-step explanation:
If one angle in Polygon A is 2.5
and one angle in polygon b is 5
5/2.5= 2
the answer is 2
I need help badly if you can help thank you very much
Answers
Answer:
(24,4,84)
Step-by-step explanation:
Since they restricted our domains to certain x values, we can find the range by plugging in the x values to find it y value or output.
[tex]f( - 2) = 5( { - 2}^{2} ) + 4[/tex]
[tex]5(4) + 4 = 24[/tex]
[tex]f(0) = - 5( {0}^{2} ) + 4 = 4[/tex]
[tex]5(4) {}^{2} + 4 = 84[/tex]
So our range is (24,4,84)
Answer:
f(x)=5x²+4
f(-2)=5×(-2)²+4
5×4+424f(0)=5(0)²+4
0+44f(4)=5×(4)²+4
5×16+484so the range of function{-2,0,4}is{24,4,85}
hope it helps.
Two best friends, Pluto and Goofy, have very different hobbies. Pluto likes to skydive from a height of 24,568 feet. Goofy likes to scuba dive down to a depth of 124 feet. If they participate in their hobbies at the same time, how far apart will these friends be?
Answers
Answer:
They are 24, 692 feet aprart
Step-by-step explanation:
Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.
Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.
Pluto's location to the sea level = 24,568 feet
Goofy's Location to the sea level = 124 feet
their distance apart = 24,568 feet + 124 feet =24, 692 feet apart
how do you factor y=6x^2-x-2
Answers
6 x -2 = -12
-12 = 3, -4
y = 6x^2 + 3x - 4x - 2
y = 3x(2x + 1) - 2(2x + 1)
(2x + 1) (3x - 2) = 0
2x = -1, 3x = 2
x = -1/2, 2/3
pls give brainliest im trying to level up :))
Answer:
(2x+1)(3x-2)
Step-by-step explanation:
Given :-
y = 6x² - x - 2We need to factor out the given expression. For that we may use the middle term splitting method. Taking the equation,
[tex]:\implies[/tex] y = 6x² - x - 2
[tex]:\implies[/tex] y = 6x² - 4x + 3x-2
[tex]:\implies[/tex] y = 2x ( 3x -2) +1( 3x -2)
[tex]:\implies[/tex] y = (2x + 1)(3x -2 )
Hence the required answer is y = (2x+1)(3x-2)When borrowing money from the bank, the amount of money originally borrowed is called the
Answers
Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.
Step-by-step explanation:
Answer: The answer is principal
Step-by-step explanation:
It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.
Q2.
(a) Solve
f+ 2f + f = 20
Answers
Step-by-step explanation:
apskaičiuoti trikampių perimetrą?
4f = 20
Divide both sides of the equation by 4
f = 5
math plz help me due day its so close
Answers
Answer:803.84
Step-by-step explanation:
3.14 x (16^2) = 803.84.
16^2 is 256 so multiply that by 3.14
Find the surface area of the following rectangular prism. Express your answer in square meters.
47.75 m 2
23.88 m n2
26.25 m 2
1,310 m 2
ASAP
Answers
Answer:
it is 47.75cm 1310cm is incorrect
Step-by-step explanation: