Given :
Height of the ramp, h = 83 cm.
Length of ramp, L = 158 cm.
To Find :
Length of the base of the ramp.
Solution :
Let length of the base is l.
By Pythagoras theorem :
L² = h² + l²
[tex]l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm[/tex]
Therefore, length of the base is 134.44 cm.
Hence, this is the required solution.
Chad is getting balloons for his grandmothers birthday party. He wants each balloon string to be 6 feet long. At The party store, string is sold by the yard. If chad wants to get 43 balloons, how many yards of string will he need?
Answer: 258 yards
Step-by-step explanation:
Since Chad wants each balloon string to be 6 feet long, and Chad wants to get 43 balloons, the number of yards of string that he will need will be calculated by multiplying 43 by 6. This will be:
= 43 × 6
= 258 yards of string
PLEASE GUYS HELP ITS DUE TONIGHT
Answer:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
[tex] 4x + 24 = 7x + 6 [/tex] (substitution)
Collect like terms
[tex] 4x - 7x = -24 + 6 [/tex]
[tex] -3x = - 18 [/tex]
Divide both sides by -3
[tex] x = 6 [/tex]
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20
3.1 + (9.2 -4.7)=
What does this equal
Answer:
7.6
Step-by-step explanation:
Answer:
7.6
Step-by-step explanation:
hope it helps
Can someone help me solve number 1-8? Plzzz I really need help!!!!!!!
Answer:
1.) x = 1
2.) x = -30
3.) x = -2
4.) x = 15
Sorry I have to work on other stuff but I did half of them for ya
Step-by-step explanation:
I NEED PART C QUICK
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2. Write an equation that represents the following word problem:
The perimeter of a square is equal to four times the length of one side.
p = 4x
p = x + 4
p = 4 = x
p = 4 - x
Answer:
p=4x
Step-by-step explanation:
If you need a further explanation feel free to ask
Answer:
p=4x
Step-by-step explanation:
UHHHHH guys so it turns out that this is a review for tomorrow bc we have a test tmr and my teacher is going over all the answers. BUT, i did promise a brainliest, a follow , a thank u, AND a shoutout and thats what i'm gonna do.
Answer:
your going to do super good and get %100
Step-by-step explanation:
Answer:
Did you ace it? %100?
Step-by-step explanation:
On Tuesday, the mailman delivers three checks for $5 each and two bills for $2 each. If you had a starting bank account balance of $25, what is the ending balance?
Answer:
The ending balance is $36.
Step-by-step explanation:
With the information given, in order to find the ending balance, you have to take the starting bank account balance and add the three checks that is money you receive and subtract the two bills that is money you need to pay and comes out of your account:
25+(3*5)-(2*2)=25+15-4=36
According to this, the answer is that the ending balance is $36.
A new PlayStation is on sale for $375. Sales tax of $8% is added on to the price. What will be the final cost?
Answer:
$405.00
Step-by-step explanation:
375×1.08=$405.00
PLEASE HELP ASAP ILL GIVE BRAINLIEST FOR THE RIGHT ANSWER!!!!
which of the lines graphed has a slope of 1 and a y-intercept of -3?
Answer: The attached image (Graph 4) is the correct graph.
Step-by-step explanation:
1. Find the graph with the point (0, -3), the y-intercept. This eliminates all but two graphs.
2. Out of the two graphs you have narrowed down the options to, choose the graph with the positive slope (slope of 1). Since graph 3 has a negative slope amd graph 4 has a positive slope and still satisfies the correct intercept, the 4th graph is the correct option.
If 4 is a root of f(x), which of the following is a factor of f(x)?
(x+4)
neither (x+4) nor (x-4)
(x-4)
(x+4) and (x-4)
Given:
4 is a root of f(x).
To find:
A factor of f(x).
Solution:
We know that, if c is a root of a function f(x), then (x-c) is a factor of f(x).
In the given problem, 4 is a root of f(x).
So, we have c=4.
By using the above property we can say that, (x-4) is a factor of function f(x).
Since, (x-4) is a factor of function f(x), therefore, the correct option is C.
which equation represents the same line as the points in the table
Answer:
The answer for this is the 2nd one
L
The cost of 3 pounds of strawberries
is $6.57. What is the constant of
proportionality that relates the cost in
dollars, y, to the number of pounds of
strawberries, x?
A 3
B
6.57
C 2.19
D
Not here
help please lol it has to be one of the answer choices btw
Answer: A
Step-by-step explanation: Hi
Divide 500g into the ratio 2:3
Answer:
200g:300g
Step-by-step explanation:
2+3=5
500g/5=100g
100x2=200g
100x3=300g
The Probabilty of rolling a 1 on a 6 sided biased dice is 0.85
Answer:
false
Step-by-step explanation:
This statement is false. There are a total of 6 sides on a six-sided die therefore, every roll is a one in six chance of getting a single number since only one number can be obtained per roll. So that would mean that the probability is
[tex]\frac{1}{6}[/tex] or 0.16666 or 16.66%
That would be the actual probability of rolling a 1 on a single roll of a six-sided die, not 0.85
PLZ HELP ME ONLY NUBMER 11 THATS IT A=-4 AND B=3 PLZZZ HELP MEEE
Answer:
1
Step-by-step explanation:
2*-4+3*3
-8+9
1
Brainliest pleaseeeee
Answer: i think you just substitute: 2(-4)+3(3) = 1
Step-by-step explanation:
Find the slope of the line that passes through (10, 5) and (7, 4).
Answer: M (slope) = -1 / -3 = 0.3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where (X1,y1) is (10, 5) and (X2,y2) is (7, 4).
So
Slope= 5-4/10-7
= 1/3
So slope is 1/3
PLEASE HELP ASAP will give brainlist
Answer:
43
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
x=43
Step-by-step explanation:
78+59
180-137=43
The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
65kmStep-by-step explanation:
Step one:
given
we are told that the distance is 3.25cm on the map
the scale is 1cm to represent 20km
Required
the actual distance
Step two
if 1cm represent 20km
then 3.25cm will represent x km
cross multiply we have
x=2.35*20
x= 65km
Hence, the actual distance between these two cities in kilometers 65km
Nathan is opening a savings account that has a 10% simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded interest rate?
Answer:
Dollars earned after 5 years = $45.79
Step-by-step explanation:
Given that:
Initial money deposited in account = $75
Time for which the money is deposited = 5 years
Interest rate = 10%
Nature of interest = Simple Interest
Amount after 5 years = $112.50
To find:
Total money earned after 5 years if the interest is compounded ?
Solution:
Formula for amount if the interest is compounded annually:
[tex]A =P(1+\frac{R}{100})^T[/tex]
Where P is the principal amount (initial money)
R is the rate of interest
T is the time
Putting all the values:
[tex]A =75\times (1+\frac{10}{100})^5\\\Rightarrow \bold{A = \$120.79}[/tex]
Total more money earned or the interest after the compounding nature =
[tex]A - P[/tex] = $120.79 - $75 = $45.79
Stretch y=6x by a factor of 3
Answer:
If my memory serves me correctly, then you just have to multiply the variable 3 by whatever number you are facorting it by, in this case 6 and 3.
So, the answer would be y = 18x
May I have brainliest please? :)
Barb is looking at internet service plans. A local company offers a one month service plan for $39.95 for a two month service plan for $68.97 dollars how much would Barb save in 2 months if she only got two month plan instead of two one month plans enter?
Answer:
Barb would save $10.93 in 2 months if she only got two month plan instead of two one month plans.
Step-by-step explanation:
First, you need to determine the amount that Barb will pay with the one month service plan in 2 months:
$39.95*2= $79.9
Now, you need to calculate the difference between both plans:
$79.9-$68.97=$10.93
According to this, the answer is that Barb would save $10.93 in 2 months if she only got two month plan instead of two one month plans.
30% of 60 is what number?
A. 15
B. 30
C. 18
D. 40
Answer:
18
Step-by-step explanation:
30x60=1800
1800/100=18
Answer:
18
Step-by-step explanation:
30% of 60 is the same thing as 30/100=x/60
After that, we cross multiply which gets us with 100x=1800
We divide and get x=18
So the right number choice is C. 18
I hope this helped!!
Which describes the correlation shown in the scatterplot?
On a graph, points are grouped together and decrease.
A. There is a positive correlation in the data set.
B. There is a negative correlation in the data set.
C. There is no correlation in the data set.
D. More points are needed to determine the correlation.
It can be said that the "there is a negative correlation in the data set". Option B is correct.
The graph shows points that are grouped together and are decreasing.
The gathered data shows that there is a possibility to get correlation between them.
The group of data is decreasing. So, the correlation of the data will be negative in nature.
Therefore, it can be said that the "there is a negative correlation in the data set". Option B is correct.
For more details, refer to the link:
https://brainly.com/question/11705632
Answer:
The answer B
My Homeys
Have a blessed day guys and gals
what is the explicate formula for -5,-8,-11
Marissa has 2.5 hours of swim practice per day. She practices 4 days per week. The swimming season is 14 weeks long.
How many total hours of swimming practice does Marissa have in one swimming season?
Answer: 140
Step-by-step explanation: 2.5 x 4 = 10
10 x 14 = 140
you multiply the amount of hours she swims for 4 days and then multiply those hours by 14 because the swimming season is 14 weeks long.
HELP PLZZ!!! I'LL GIVE BRAINYLEST!!!!!!! I BEEGG YOUU!!!! ANY THING!! PLZ GET THIS RIGHT!!!! 10 POINTS!!!!!!
Simplify: (x to the power of 2 plus 3x - 4) plus (2x to the power of 3 mines 2x plus 5)
A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
B. 3x to the power of 5 plus x plus 1
C. 3x to the power of 3 plus x plus 1
D. 2x to the power of 3 plus x to the power of 2 plus x - 9
Answer:
A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
Step-by-step explanation:
[tex]2x^3+x^2+x+1[/tex]
Answer:
Step-by-step explanation:
(x^2+3x-4)+(2x^3-2x+5)
2x^3+x^2+x+1 so A
Need help with 3 questions!
plzzzzz help! will mark Brainliest!!!
Answer:
No
Step-by-step explanation:
Genius
Answer:
yes i belive.
Step-by-step explanation: