Answer:
4.2 ft
Step-by-step explanation:
We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.
This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.
Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.
We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.
We can use the Pythagorean Theorem since this is a right triangle:
a² + b² = c² a and b are the legs, c is the hypotenuseSubstitute these values into the equation and solve for b.
(3)² + b² = (5.2)² 9 + b² = 27.04 b² = 18.04 b = 4.24735211632The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.
Chose the best estimate for 18% of 54
Answer is in the file below
tinyurl.com/wpazsebu
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
Please please help me on this it’s due soon!!!!
Answer:
1 cup of milk = 3cups of brown sugar
Answer:
It's 3
Step-by-step explanation:
Because...
When we see the table we can find that it is given 2×3=6, 6×3=18, .... and so on so if we multiply 3 with 1 cup of milk then
3×1=3
So from this the answer is 3
Hope you understood!!
find square root of 100
Answer:
10, -10
Step-by-step explanation:
Take the sqrt(100)
What number times itself = 100
10*10 = 100
-10*-10 = 100
sqrt(100) = +10 or -10
Pls help me I need this done . Look at picture . What is the measure of..
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answer:
A or C Sorry!
Step-by-step explanation:
please help asap!! (Marking brainliest)
Answer this using a graphing method!
Step-by-step explanation:
5x-2y=10
x-y=-1
Addition method
multiply the second equation by -2 and add it to the first one
5x-2y=10
-2x+2y=2
Total 3x=12
Divide by sides by 3
x=4
Now multiply the second equation by -5 and add it to the first one
5x-2y=10
-5x+5y=5
3y=15
Divide both sides by 3
y=5
Solutions are x=4 and y=5
2nd method
if x-y=-1, so x=y-1
bring the value of x in the first equation
5(y-1)-2y=10
5y-5-2y=10
put the similar term together
3y=15
Divide both sides by 3
y=5
now bring the value of y in one of the equation
x-y=-1
so x-(5)=-1
x=-1+5
x=4
Solutions are x=4; y=5
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
hello are you there my i please have some help
Answer:
3^-5
Step-by-step explanation:
x^-3=1/x^3
this rule applies to all negative exponents lol
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Triangle CAT is an equilateral triangle. Find x and AT
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
Tasha needs to walk 7/10 miles to school. She has already walked 3/5 mile. How much farther does Tasha need to walk? Answer in simplified form, if needed.
Answer:
1/10
Step-by-step explanation:
We are to determine the difference between the miles walked Tasha already and the total number of miles to school
[tex]\frac{7}{10} - \frac{3}{5}[/tex]
[tex]\frac{7-6}{10}[/tex] = [tex]\frac{1}{10}[/tex]
Expanding a garden. The dimensions are 25 feet by 25 feet. I bought 10 cubic yards of soil. How many inches thick will the new dirt cover
Answer:
The thickness of the new dirt cover is 0.144 yards.
Step-by-step explanation:
Dimension of garden = 25 feet by 25 feet.
Volume of soil bought = 10 cubic yards
Volume = length x width x height
But,
1 foot = 0.333333 yard
So that,
25 feet = 25 x 0.333333
= 8.33333 yards
The new dimension of the garden = 8.33333 yards by 8.33333 yards.
Let the thickness of the new dirt cover be represented by h.
Thus,
Volume = 8.33333 x 8.33333 x h
10 = 69.44439 x h
h = [tex]\frac{10}{69.44439}[/tex]
= 0.144
h = 0.144 yards
The thickness of the new dirt cover is 0.144 yards.
Please Help me!!! The rectangle has a width of 6 in and a length of 8 in. What is the Perimeter? What is the Area? Remember: Area is length x width. P= A=
A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?
A) [tex]\frac{1}{17}[/tex]
B) [tex]\frac{16}{51}[/tex]
C) [tex]\frac{4}{17}[/tex]
D) [tex]\frac{5}{17}[/tex]
Answer:
4/17
Step-by-step explanation:
Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answer:
R' = (0,7)
Step-by-step explanation:
A triangle has two sides of length 14 and 10. What is the smallest possible whole-number
length for the third side?
Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3
Answer:
B.
Step-by-step explanation:
V = (pi)r^2h
V = 3.14 * (8 m)^2 * 28 m
V = 5626.9 m^3
Answer: B.
LMN is a right triangle 39 36 15
Which one should I be choosing?
Answer:
B) m∠S= 116, m∠Q=64, m∠T= 64
Step-by-step explanation:
You travel 30 miles per hour for 4.2
hours. How far did you travel?
Answer:
126 miles
Step-by-step explanation:
If I remember right, you'll have to multiply 30 by 4.2 and get 126 miles since each hour is 30 miles.
I need help
4x^2-8x-23=0
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Check the screenshot below!
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the product. ( 5xy) ( 7xy)
Answer:
35x^2y^2
Step-by-step explanation:
just multiply and combine like terms
please help! quickly
Answer:
Step-by-step explanation:
Area of a cone is pie times radius square times height divided by 3
So it will be 3.14 x (4x4)x 9/3= 150.72
Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
PLZZ HELP find area of square KLMN?
Hello! The area of square KLMN is 25 cm²
Make sure to read an explanation for better understanding to the problem.
Any questions about my answer and explanation can be asked through comments.
Step-by-step explanation:
Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.
Therefore 5 × 5 = 5² = 25 cm².
We can also use Calculus to solve the problem by using Integration.
Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.
A line that passes through (a,4) where a is all real numbers. The equation is y = 4
A line that passes through (c,-1) where c is all real numbers. The equation is y = -1
Therefore,
[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]
Because y = -1 is below x-axis. Therefore,
[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
A certain type of bacteria doubles each day. If there were 101 bacteria to start with, how much bacteria will there be after 11 days?
Round to the nearest whole number.
Type your answer
Answer:
There will be 206,848 bacteria after 11 days. whewwww
Step-by-step explanation:
f(x) = 101x
x = 11
f(11) = 206,848
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
A television was originally sold for $485. The television is now on sale for $388. What is the percent markdown?
