Answer:
2.4 gallons
Step-by-step explanation:
to answer this question :
we have to determine the width of the rectangle.
determine the area
determine the gallons needed
Pythagoras theorem would be used to determine the width of the wall
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
60² + b² = 68²
3600 + b² = 4624
b = ²4624 - 3600 = 1024
√b = 32
Area of a rectangle = length x width
32 x 60 = 1920
Gallons needed = 1920 / 800 = 2.4 gallons
a customer purchases windows for $15,000 using a credit card. If the interest is compounded monthly at a rate of 16% per year, how much interest will be charged at the end of three years?
Answer:
≈ $9164.35
Step-by-step explanation:
The future amount A is calculated as
A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3
A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]
= 15000 ([tex](1.01333)^{36}[/tex]
≈ 24164.35
Interest paid = $24164.35 - $15000 = $9164.35
Answer:
The future amount A is calculated as
A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
1. Solve the inequality. x/8 >4
Answer:
X > 32
Step-by-step explanation:
Brainliest?
PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
Y = 5x + 2
6y = 18x + 12
What is the value of X?
Step-by-step explanation:
x= 0, y = 2
have a great day
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
PLEASE HELP IMMEDIATELY!!
Answer:
}
Step-by-step e.xplanati:kljkjk
The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.
Answer:
39 I believe. The question is a little confusing.
Step-by-step explanation:
49-10=h 39=h
Not sure if this is what you want the question is worded weirdly.
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Determine whether the figure is a parallelogram.
Answer:
The figure is a parralellogram
Step-by-step explanation:
it has 4 sides and one set is parallel
What is the answer to this question
Answer:
3
Step-by-step explanation:
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
pls help me forgot how to do this
find the value of x
Answer:
Step-by-step explanation:
oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.
Hope this helps!
Answer:
146°
Step-by-step explanation:
1) 180-51-95 = 34 All the angles in a triangle add up to 180.
2) A straight line is 180, so x = 180 - the interior angle.
3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2
4) x = 180-34 = 146
Find the gradient of the line segment between the points (2,3) and (4,7)
Answer:
1/2
Step-by-step explanation:
take change in X divided by change in Y values
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answer:
2.5hrs
Step-by-step explanation:
Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2
Answer:
314 cm^2
Step-by-step explanation:
(=^w^=)
A= 2*pi*r*h
A=2*pi*5*10
A=314.16 cm^2
Step-by-step explanation:
2×5×10=
10×10= 100 cm²
=100 cm²
find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best
the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?
Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27
Answer:
:::::::::
C. 6:7 = 18:21
answer: it is C
Step-by-step explanation:
6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.
hope it helps :)
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24
same thing as last. nearest 100th
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
Please mark Brainliest :D
Please mark Brainliest :D
A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?
Answer:
Ihe answer is 845 times
Step-by-step explanation:
a train travels 18 km in 30 minutes.Find the speed of the train in km/h
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
An independent-samples t test was conducted to compare high-altitude exercise to exercise at sea-level. Imagine the mean comfort level of participants, rated on a 7-point scale where high values reflect high comfort, at high altitude was 3.5 while the average at sea-level was 5.1. Imagine also that values were calculated for sdifference of 1.1, 2.04 for pooled variance, and 35 for degrees of freedom total. What are the critical cutoffs for this test
Answer:
-2.03, 2.03
Step-by-step explanation:
The degree of freedom (df) ;
Df total for the two samples = 35
Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.
(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025
Using a T critical value calculator or t table distribution ;
Tcritical, 0.025, df = 35 = 2.03
Left tail = - 2.03
Right = 2.03
Hence, critical cutoff :
(-2.03 ; 2.03)
I already know the answer but ima check and see.
a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20
Answer:
106
Step-by-step explanation:
this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1) where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference
a(20) = 49 + 3(20-1)
= 49 + 3(19)
= 49 + 57
= 106
Find the distance between the pair of points (2, 3) and (6, 8)
Answer: d=sqrt(41) =6.4031
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=2 ,x2=6 ,y1=3 ,y2=8
d=sqrt((6-2)^2+(8-3)^2 )
d= sqrt((4)^2+(5)^2
d=sqrt(16+25)
d=sqrt(41) =6.4031