Answers
Answer:
x = 21 m
Step-by-step explanation:
Tan ∅ = [tex]\frac{opposite sides}{adjacent side}\\[/tex]
[tex]tan 40 = \frac{x}{25}\\\\0.84 = \frac{x}{25}\\\\0.84*25=x\\\\x = 21[/tex]
Related Questions
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
Answers
Answer:
= 40.5π square inches
Step-by-step explanation:
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
The formula for the surface Area of a cylinder = 2πr( r + h)
r = 1.5 inches
h = 12 inches
Hence,
2 × π × 1.5( 1.5 + 12)
3π(13.5)
= 40.5π square inches
The surface area of the cylinder is
= 40.5π square inches
Write the equation of the line that passes through the points (-4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y=4/-5x-3 1/5
Step-by-step explanation:
y2-y1/x2-x1
5-1/-9-(-4)
4/-5
-4=4/-5+b
+4/5 +4/5
-20/5+4/5
-16/5
y=4/-5x-16/5
3 1/5
Find the value of the marked angles in each of the following ( see image ).
Please show workings.
The only given angles are 62° and 85°.
The angle to look for is marked by “))”
Answers
Answer:
(180-62)
118
180-118=62
180-85=95
180-(62+95)
180-157
23
Answer:
23°Step-by-step explanation:
The inscribed is the cyclic quadrilateral.
The opposite angles are supplementary in cyclic quadrilaterals.
The angle opposite to 85° is:
180° - 85° = 95°The missing angle of the triangle is:
180° - (62° + 95°) = 23°A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is
Answers
Answer:
The son is 4years old
Step-by-step explanation:
Let the son's age=x
the father's age=8x
IN 10YEARS,
Son's age=x+10
father's age=8x+10
Equate them
8x+10=3(x+10)
8x+10=3x+30
5x=20
x=4
how much force is needed to accelerate a 66kg skier at 2m/second
Answers
Answer:
[tex]\huge\boxed{\sf F = 132\ N}[/tex]
Step-by-step explanation:
Given Data:
Mass = m = 66 kg
Acceleration = a = 2 m/s²
Required:
Force = F = ?
Formula:
F = ma
Solution:
F = (66)(2)
F = 132 N
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and the area of the rug
Answers
Answer:
Width = 1/2h
Area = 1/4h²
Step-by-step explanation:
This is quite a vague question from you. Being asked to find the width and area of a particular shape, without being given dimensions.
However, I would try to solve it nonetheless.
From your question, you stated that the width of the rug is half its height, if so, then,
w = 1/2h
Again, you're being asked to find the area. Area of a kite is given as
Area = 1/2 * Width * Height and as such, we have
Area = 1/2 * 1/2h * h
Area = 1/4 * h²
All that you need to do now is substitute the value of h
Richard and Stephen win some money and share it in the ratio 2:1. Richard gets £12 more than Stephen. How much did Stephen get?
Answers
Answer:
12
Step-by-step explanation:
because ratio 2 to 1 = all =3 if Richard got 12 more than stephan that is the one more so In 2 to 1/1=12 so stephan gets 12
Answer:
huh whats that? all you have to do is use the internet
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answers
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.
What is 3.45 written as a percentage?
Answers
Answer:
345%
Step-by-step explanation:
Find the area of the figure.
square with sides of 5.8 ft
The area of the square is___________ ft2.
Answers
Explanation: Because it is a square all 4 sides are going to be equal so you use the equation A= s^2
So you put in the number and solve from there,
A=5.8^2= 33.64
It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes
Answers
Answer:
20 minutes
Step-by-step explanation:
y=(12/3)*5=20
Write a rational number between -3 and -4.
Answers
Answer:
-3.25
Step-by-step explanation:
Answer:
-3.25
Step-by-step explanation:
sorry I'm wrong.....im not that good at math
HELP PLEASE!!
Planes that fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘.
a. How many feet must the plane rise to pass over the tower?
The plane must rise at least _____feet to pass over the tower.
Question 2
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?
The plane must fly at an altitude of at least ____ feet to pass over the tower.
Answers
Answer:
a. About 436 ft
b. 21,436 feet
Step-by-step explanation:
a. Notice how the plane's rise (h), its horizontal distance from the tower, and its distance to the top of the tower (25,000 ft) all form a right triangle. If we want to find h, we need some way of putting it in an equation with the two quantities we already know: the angle of elevation and the distance to the top.
In the language of right triangles, we want to combine an angle, the side opposite the angle, and the hypotenuse. The sine function is perfect for this, since [tex]\sin{\theta}=opp/hyp[/tex]. For our problem, opp = h, hyp = 25,000, and θ = 1°, so our equation becomes
[tex]\sin{1^\circ}=h/25000[/tex]
or equivalently
[tex]h=25000\sin{1^\circ}\approx436[/tex] ft (rounded up to the nearest whole foot)
b. If the plane is currently flying at 20,000 feet, it needs to rise about 436 feet to clear the top of the tower, and another 1,000 feet to follow safety protocol, making its required altitude 20,000 + 1,000 + 436 = 21,436 feet.
A stack of one dozen cookies of diameter
5 in. exactly fits in a cylindrical container of
volume 179.715 in.3. Which is the thickness of
each cookie?
Answers
Answer:
.763 in for each cookie
Step-by-step explanation:
[tex]179.715 =\pi (2.5)^{2} h\\179.715= \pi (6.25)h\\179.715=19.635h\\h=9.153\\[/tex]
After you solve for the height you would divide it by 12 to get the thickness of one cookie which is .763 in.
In each equation, select an operation to make the equation true.
12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answers
11/8 for second one
Use the given set to determine the solution for each equation.
13y + 8 = 125 {1, 6, 9, 15}
y = _________
Answers
Please answer this below Question # 15
Answers
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
PLSSSSSSSS HELP URGENT
Answers
Answer:
C
Step-by-step explanation:
180 - 118 = 62
Hopefully this helps- let me know if you have any questions
PLS HELP!!! WILL AWARD BRAINLIEST!
Rewrite this equation without using absolute value.
Answers
Answer:
0.127
Step-by-step explanation:
|√15-5+1 |
|√15-4 |
|3.873-4 |
|-0.127|
0.127
Can someone help me with this problem ??
Answers
A= 120 because B and A are vertical angles
Y= 22° because 120 +38= 158 and 180-158 = 22°
Answer:
a = 120
b = 120
y = 22
a and b and vertical angles
Step-by-step explanation:
angles A and B are vertical angles so they're equal.
you can find angle b because all the angles in a triangle add up to 180
19 + 41 + B = 180
b = 180 - 19 - 41
b = 120
and since theyre equal, that means
a = 120 as well.
since you know a = 120 you can find y.
120 + 38 + y = 180
y = 180 - 120 - 38
y = 22
Help im confused like alot
Answers
Answer: 5/2x-7-3/4x=3/4x+14-3/4x
7/4x-7=14
7/4x-7+7=14+7
7/4x=21
(4/7)*(7/4x)=(4/7)*(21)
x=12
Step-by-step explanation:
Yeh so simpliy it. I you do something to one side, do it to the other.
(5/2)x - 7 = (3/4)x + 14
first get rid of the smallest value of x which is 3/4.
We need to change the denominate for this
(10/4)x -(3/4)x -7 = (3/4)x - (3/4)x +14
which becomes
(7/4)x - 7 = 14
then get rid of -7 by adding on both side
= (7/4)x = 21
= x = 12
ASK IF YOU NEED MORE HELP! ALGEBRA IS IMPORTANT!
Please help if possible :)
Answers
Answer:
4.5
Step-by-step explanation:
any value of XYZ divided by the corresponding value from RST = 4.5 the scale factor
Watch help video
In ADEF, the measure of ZF=90°; the measure of ZD=67°, and FD = 7.4 feet. Find
the length of EF to the nearest tenth of a foot.
E
X
67°
F
D
7.4
Answers
Answer:
A.
Step-by-step explanation:
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answers
Answer:the answer is 15.8
Step-by-step explanation:
q/19 < 4
pls be correct if you type it !!!!
Answers
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
Answers
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
10 less than twice a number cubed?
Answers
need answer. please help
Answers
2x=12
X=6
UW=7(6)+13
UW=42+13
UW=55
Find the equation of each line and then use them to solve the system.
Answers
Step-by-step explanation:
Find the total surface area of the triangular pyramid
A. 98.6 ft
B. 123.6 ft
C. 99.5 ft
D. 201 ft
E. 103 ft
F. 118.1 ft