Answer:
72 dollars
Step-by-step explanation:
all you do is multiply
PLEASE HELP !!!!!!!!!
In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 60 feet away from the base of the tower. The angle of elevation of the zip line is 20°. Estimate the length of the zip line to the nearest tenth of a foot.
about 63.9 ft
about 21.8 ft
about 175.4 ft
about 164.8 ft
Using relations in a right triangle, it is found that the length of the zip line is of about 63.9 ft.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the hypotenuse is the length of the line, considering that the base of 60 ft is adjacent to the angle of 20º, hence:
[tex]\cos{20^\circ} = \frac{60}{l}[/tex]
[tex]l = \frac{60}{\cos{20^\circ}}[/tex]
[tex]l = 63.9[/tex]
The length of the zip line is of about 63.9 ft.
More can be learned about the relations in a right triangle at https://brainly.com/question/18090623
cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place
Answer:
339.3m²
Step-by-step explanation:
Formula is volume= X radius² X height
First find radius, which is 1/2 of the diameter. 6/2= 3 is the radius
Then set up the equation: ()(3²)(12)
Put into calculator to get 339.3 (rounded to the tenths)
The volume of the cylinder will be 339.12 cubic meters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The cylinder has a base diameter of 6 m and a height of 12 m. Then the radius of the cylinder is calculated as,
r = d / 2
r = 6 / 2
r = 3 m
Then the volume of the cylinder is calculated as,
V = 3.14 x 3² x 12
V = 339.12 cubic meters
More about the volume of the cylinder link is given below.
https://brainly.com/question/12763699
#SPJ3
There are 8/5 polka dots many are there?
Answer:
1 3/5
Step-by-step explanation:
this is a mixed number
8/5= 1 3/5
(-4×√1/16÷0.5) and (3+(-5))²
you answer is this 364. 41
your welcome
have a good day or night
Answer:
3.5
Step-by-step explanation:
Simplify this question
2/4x+4 - 2x/2
Answer:
[tex] \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Step-by-step explanation:
[tex] \frac{2}{4x + 4} - \frac{2x}{2} [/tex]
[tex] = \frac{2 \times 2}{(4x + 4) \times 2} - \frac{(2x) \times (4x + 4) }{2 \times (4x + 4)} [/tex]
[tex] = \frac{4}{8x + 8} - \frac{8 {x}^{2} + 8x }{8x + 8} [/tex]
[tex] = \frac{4 - (8 {x}^{2} + 8x) }{8x + 8} [/tex]
[tex] = \frac{4 - 8 {x}^{2} - 8x }{8x + 8} [/tex]
[tex] = \frac{4 \times (1 - 2 {x}^{2} -2x ) }{4 \times (2x + 2)} [/tex]
[tex] = \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
A soccer goalie kicks the soccer ball. The quadratic function y = −16t2 + 64t gives the time t seconds when the soccer ball is at a height 0 feet. How long does it take for the soccer ball to return to the ground?
Answer:
The correct answer is 4 sec
Step-by-step explanation:
The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.
What is a polynomial function?A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.
The highest power to a variable is the degree of the polynomial expression.
When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
How do we solve the given question?We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.
We are asked how long it takes for the soccer ball to return to the ground.
To calculate the time for the ball to return to the ground, we take height y = 0.
Our equation therefore is,
0 = -16t² + 64t
or, 16t² - 64t = 0
or, t² - 4t = 0
or, t(t-4) = 0
∴ Either, t = 0; Or, t-4 = 0 ⇒ t = 4.
∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.
∴ The ball takes 4 seconds to return to the ground.
Learn more about Quadratic Functions at
https://brainly.com/question/1214333
#SPJ2
Help me someone please
Answer: 8 1/8 in
Hope this helps, tell me if thats wrong!
Write m2 - 20m + 72 = -3 in vertex form.
Answer:
yes I am telling you about the India is so much of drugs that this is because I 6
Step-by-step explanation:
just see attached answer
What is the difference?
Answer:
29√5
Step-by-step explanation:
Triangle JKL is similar to triangle MNO. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
O
11
K
15
M
58.8
Answer:
43.1
Step-by-step explanation:
Similar shapes have sides of the same proportions. This means that one shape is just an enlargement of the other.
In this case, triangle MNO is an enlargement of triangle JKL so we can work out a scale factor.
To work out the scale factor, we can do 58.8 ÷ 15 = 3.92. To find side NO, all we have to do is multiply 11 by 3.92 to get 43.12 ≈ 43.1 (rounded to the nearest tenth).
Hope this helps!
hello people ~
factorise: x² + 9x + 20
Answer:
[tex](x+4)(x+5)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+9x+20[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot 20=20[/tex]
[tex]b=9[/tex]
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
[tex]\implies x^2+4x+5x+20[/tex]
[tex]\implies (x^2+4x)+(5x+20)[/tex]
Factor the parentheses:
[tex]\implies x(x+4)+5(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies (x+4)(x+5)[/tex]
[tex]\\ \rm\rightarrowtail x^2+9x+20[/tex]
Use mid term splitation[tex]\\ \rm\rightarrowtail x^2+4x+5x+20[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+5(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+5)(x+4)[/tex]
Done!
Randy is checking to determine if the expressions 2 x + 2 + 4 x and 2 (3 x + 1) are equivalent. When x = 3, he correctly finds that both expressions have a value of 20. When x = 2, he correctly evaluates the first expression to find that 2 x + 2 + 4 x = 14.
Please find attached full question
Answer and explanation:
Find attached answer and explanation
The basketball team earned $215 by washing cars. They want to buy basketballs that cost $39 each. How many can the team buy?
Answer:
The team can buy 5 basketballs
Step-by-step explanation:
215 / 39 = 5.51
or
5 with a remainder of 20 dollars.
We simply cannot buy 0.51 of a basketball, unless you bring a saw...
Answer:
they can buy 5 balls, and they will have 20 dollars left over.
Step-by-step explanation:
to solve, divide 215 by 39, so 215/39 which gives us 5.512. and since we cant have half of a ball, and we do not have enough capital to buy another ball, we settle for the 5. it isnt important, but to get the leftover money, just multiply 5 by 39, or 5x39 to get 195. then subtract the original value to get 20 dollars.
hope this helps, please rate and mark as brainlest.
What is the difference of
(1/3-6m)-(1/4n-8)
The equation is (1/3-6m)-(1/4n-8).The equation's difference is -6m-1/4n+25/3.
Given that,
The equation is (1/3-6m)-(1/4n-8)
We have to find the difference of the equation.
What is difference?
Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math.
The difference in mathematical notation is minus (-).
To difference between whole numbers and natural numbers, take the following steps:
The values are initially arranged vertically according to their place values. Additionally, make sure that the larger number is on top and the smaller one is at the bottom.
Starting at the ones place, begin removing the numerals.
Take the equation,
(1/3-6m)-(1/4n-8)
Taking least common multiple.
(1-6×3m)/3-(1n-8×4)/4
By multiplication
(1-18m)/3-(n-32)/4
Taking the least common multiple.
4(1-18m)-3(n-32)/3×4
By multiplication
(4-72m-3n+96)/12
Now by adding
(-72m-3n+100)/12
By dividing
-6m-1/4n+25/3
Therefore, The difference of the equation is -6m-1/4n+25/3.
To learn more about difference visit: https://brainly.com/question/2432925
#SPJ2
Help please 9a
I can’t solve it
Step-by-step explanation:
answer in the image here I hope it's good for you
1) The cost of carpeting a floor with area 120 m² is Rs 3840. What is the cost of
carpeting the floor if its area is increased by 10² m??
Answer: 4,160
Step-by-step explanation:
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes? Plss answer asap (30 brainlist for the correct answer)
Answer:
1000 metres
Step-by-step explanation:
2 mins= 100 meters
20mins=
100meters × 20mins
2 mins
=1000 meters
Which table shows a constant rate of change?
Answer:
C
Step-by-step explanation:
It goes up by 225 each time. The others go up by different numbers each time.
|60| ___ |-60|
A =
B
Answer:
A= B/3600
B= 3600A
Step-by-step explanation:
An object is moving at a speed of 3 meters per minute. Express this speed in miles per year.
Answer:
979.78.
Step-by-step explanation:
Answer:
979.78
Step-by-step explanation:
Which type of motion is this an example of?
150 m/sec
1.acceleration
2.velocity
3.speed
Answer:
3. Speed
Step-by-step explanation:
acceleration is measured in m/s^2
velocity is speed plus direction
speed in measured in m/s
could u vote me brainliest plz, im trying to level up. thx:)
Need help ASAP! Tysmm
Answer:
Square
A=bh
A=6(6)
A=36m²
Triangle
A=½bh
A=4(3)(½)
A=12(½)
A=6m²
total
36-6=30m²
Question 2 The sales rack in the women's clothes department of a department store contains 32 sweaters. The sizes and colors of these sweaters are given in the table below Sweaters on Sale Color Black Blue Pink Red White Small 4 2 3 Size Medium 4 5 5 2 1 Large 2 1 2 1 What is the probability that a sweater randomly selected from the sales rack is pink and size medium? A 3 32 B 5 32 5 17 D 5 8
Answer:
A because it looks like its that one
Step-by-step explanation:
ree
What is the equation of the line that passes through the point (2, -1) and has a slope of ?
Answer:
y = 3/2x - 4
Step-by-step explanation:
Multiply
- 4u^2(-5u^3)
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Multiply~Powers:[/tex]
[tex]\bold{To~multiply~powers~of~the~same~base,~add~their~exponents.}[/tex][tex]\bold{2+3=5}[/tex][tex]2.)~Multiply~Bases:[/tex]
[tex]\bold{-4}[/tex] × [tex]\bold{-5=20}[/tex][tex]\bold{When~you~multiply~2~negatives,~the~product~will~always~be~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~simplifed~version~of~the~power~is~\boxed{20u^5.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
Please help I’m l got stuck on this one
Answer:
Hope this helps... Please thank + mark me as brainlist = Follow
Answer:
32 Black grapes
Step-by-step explanation:
The ratio is 3:4 meaning that for every 3 green grapes, there are 4 black grapes
If there were 6 green grapes there would be (4/3)*6 black grapes, thus, 8 grapes
In this case, we have 24 green grapes, simply apply this ratio to find the black grapes;
(4/3)*24 = 32
Which decimal is greater than 62.24
A. 61.99
B. 62.07
C. 62.15
D. 62.27
Answer:
the answer should be D
Step-by-step explanation:
62.27 is greater by 0.03
WILL GIVE BRAINLIEST
Match the equations of the lines with their graphs
Mrs Atkins is going to choose two students from her class to take part in a competition.
She can choose from 16 girls and 14 boys.
(a)
Work out the number of different ways of choosing one girl and one boy.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
[tex]16\times 14=224[/tex]
Therefore, the required number of different ways is 224.
a. The number of different ways of choosing one girl and one boy is 226
Calculation:Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
So, the number should be
[tex]= 16 \times 14[/tex]
= 224
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults