Answer:
132.2 ft
Step-by-step explanation:
This is a right angle problem where 32 is the angle and 200 feet is the leg unederneath. To solve for the height we use tangent since we have the adjacent side and we are solving for the opposite side.
Steps:
1. tan32 = x/200
2. (tan32)200=x
3. x=132.2 ft
Find the x and y for numbers 2 and. 3 thank you
Answer:
(0, 4 ) and (2, - 4 )
Step-by-step explanation:
(2)
3x + 4y = 16 → (1)
- 3x + 2y = 8 → (2)
Adding (1) and (2) term by term will eliminate the x- term
0 + 6y = 24
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(4) = 16
3x + 16 = 16 ( subtract 16 from both sides )
3x = 0 , then
x = 0
solution is (0, 4 )
(3)
2x - 4y = 20 → (1)
5x + 4y = - 6 → (2)
Adding (1) and (2) term by term will eliminate the y- term
7x + 0 = 14
7x = 14 ( divide both sides by 7 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
5(2) + 4y = - 6
10 + 4y = - 6 ( subtract 10 from both sides )
4y = - 16 ( divide both sides by 4 )
y = - 4
solution is (2, - 4 )
PLEASE HEELP IM GIVING BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
What is an equation of the line that passes through the point (3.-1) and has a slope of 2?
y = 2x + 5
y = 2x -1
y = 2x-4
y= 2x -7
Answer:
y = 2x - 1
Step-by-step explanation:
-1 is the y-intersect of the slope
a village school starts at 8.30am and end at 3.45pm.how long is the school day
Answer:
7 hours and 15 minutes.
Step-by-step explanation:
Draw a timeline for this question.
8.30 + 7 hours = 3.30pm or 15 30
3.30 + 0.15 minutes = 3.45 or 15 45
7 hours + 0.15 minutes = 7 hours and 15 minutes.
What are some tips for the SAT math section?
Answer:
You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.
Ben hires some buses to take 768 people to a football match. Each bus can take 56 people.
Ben hires the least number of buses needed to take all 768 people. Then 19 of the people decide not to go to the football match. Does Ben still need all the buses he has hired? You must show how you get your answer.
Answer:
yes, he still needs all the buses he hired
Step-by-step explanation:
768 people/56 people per bus = 13.71, so 14 buses
768 - 19 = 749 people going
749people/56 people per bus = 13.37, so still need 14 buses
The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
Answer:
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.
This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]
What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
This is 1 subtracted by the pvalue of Z when X = 5.30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]
[tex]Z = -0.96[/tex]
[tex]Z = -0.96[/tex] has a pvalue of 0.1685
1 - 0.1685 = 0.8315
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = [tex]0.12e^{0.10t}[/tex]
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = [tex]0.12e^{0.10\times 10}[/tex]
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]
Cost of the apartment after 10 years = 0.33
0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]
[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]
2.75 = [tex](1+\frac{r}{100})^{10}[/tex]
[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]
1 + [tex]\frac{r}{100}=1.106[/tex]
[tex]\frac{r}{100}=0.106[/tex]
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%
AB =
Round your answer to the nearest hundredth.
A
50°
B
2
с
Answer:
50.04
Step-by-step explanation:
Answer: 3.11
Step-by-step explanation:
khan academy hint.
Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?
Answer:250 feet
Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do 4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it
what is it ???????????? pls help aspa
Answer:
This is curve sketching which is used in math
Step-by-step explanation:
we can see a graph plotting with the equation...of all sides
The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10
The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
How to interpret the scatter plot?From the complete question, we have the following highlight:
The blue line is the predicted number of hitsThe red line is the actual number of hits.From the graph, we have the following readings at x = 450
Actual readings y = 123 Predicted readings y = 113Calculate the difference
d = 123 - 113
Evaluate the difference
d = 10
Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
Read more about lines of best fit at:
https://brainly.com/question/17261411
Find the area of the shaded region. Round to the nearest tenth.
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
The area shaded region is found to be as 192.97 ft².
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.
The centre of the circle does not lie on it.
The largest line segment that can be drawn inside a circle is its diameter.
For the given circle,
Radius is given as 8.35 ft.
And, the angle subtended by minor arc is 100°.
Then, the angle formed by major arc is 360 - 100 = 260°.
Noiw, the area of shaded region is given as below,
Area of the sector for major arc + Area of triangle
⇒ 260/360 × πr² + 1/2 × r²
Plug π = 3.14 and r = 8.35 to obtain,
⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²
⇒ 192.97 ft²
Hence, the area of the shaded region is obtained as 192.97 ft².
To know more about circle click on,
brainly.com/question/11833983
#SPJ2
Can you guys help me please ASAP
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
5. Alfredo made a container shaped like a triangular prism, as shown in the diagram
11 in.
What is the volume of the container in cubic inches?
Record your answer in the boxes. Be sure to use the correct place value.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?
Answer: 220 miles
Step-by-step explanation:
Let's write the equations for each case:
A Hertz Rent-a Car:
Charges a fixed amount of $40, plus a $0.10 per mile.
Then if you drive x miles, we get a total cost of:
C(x) = $40 + $0.10*x
Enterprise Rent-A-Car:
Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:
K(x) = $18 + $0.20*x
Now, we want to find how many miles you can drive such that you would pay the same in both companies.
Then we need to find x such that:
C(x) = K(x)
$40 + $0.10*x = $18 + $0.20*x
Let's solve this for x.
$40 - $18 = $0.20*x - $0.10*x
$22 = ($0.20 - $0.10)*x
$22 = $0.10*x
$22/$0.10 = x
220 = x
So if you drive exactly 220 miles, you would pay the same in both companies.
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
which of the following doesn't describe a point?
Answer:
It has infinite length, but no width and no thickness (It describes a Line )
Hope it helps...
Have a great day :P
How many moles are in 9.03 x 1023 Li atoms?
please help me
Answer:
1.5 moles
Step-by-step explanation:
number of moles = no. of particles / Avagadro number
therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23
therefore, no. of moles = 1.5
There are 1.5 moles in 9.033 * 10^23 Lithium atoms.
No clue on how to do this
Answer:
parallelogram
Step-by-step explanation:
That's the answer....
Find the equation of the line
Use exact numbers
Thank you in advance!
Answer:
the answer is 3/6 cause you go up 3 and over 6
Which of the following shows the prime factorization of 200 using exponential notation?
Answer:
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Step-by-step explanation:
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) [tex]\frac{200}{2} = 100[/tex] (Even number)
2) [tex]\frac{100}{2} = 50[/tex] (Even number)
3) [tex]\frac{50}{2} = 25[/tex] (Even number)
4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
[tex]200 = 2^{3}\times 5^{2}[/tex]
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Answer:
2 * 3 * 5
Step-by-step explanation:
made a 100 on the text trust!!!!!
i need help right now!!!!
Answer:
look at the picture i sent...........
In a class of the students in a class are girls.
There are 28 boys.
What fraction of the class are boys?
How many students are in the class?
Answer:
[tex]Boys = 1 /4[/tex]
[tex]Total =112[/tex]
Step-by-step explanation:
Given
[tex]Girls= 3/4[/tex] --- missing information
[tex]Boys = 28[/tex]
Solving (a): The fraction that are boys
We have:
[tex]Girls= 3/4[/tex]
This implies that
[tex]Boys = 1 - Girls[/tex]
[tex]Boys = 1 - 3/4[/tex]
[tex]Boys = 1 /4[/tex]
Solving (b): Students in the class
If 1/4 are boys, then:
[tex]Boys = \frac{1}{4} * Total[/tex]
We also have that: [tex]Boys = 28[/tex]
So:
[tex]28= \frac{1}{4} * Total[/tex]
[tex]28 * 4 = Total[/tex]
[tex]112= Total[/tex]
[tex]Total =112[/tex]
7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}
Tysm
13-8=5
8-5=3
3-5=-2
-2-5=-7
etc.
Just keep subtracting 5 until you have the 18th term
---
hope it helps
Answer:
-77
Step-by-step explanation:
Reasoning:
Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77
Which graph shows that y varies directly as x?
Answer:
Step-by-step explanation:
What is 25 x 65 / 73?
25x65=1625
1625/73=22.26
Which function is graphed?
Answer:
B
Step-by-step explanation:
You can use Desmos to help with questions like these :)
can some pals help me
Answer:
1/8th of a foot
Step-by-step explanation:
All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.
5 / 8 = 0.625 = 1/8
5/8 plus 1/16 simplified