The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
We need to find the area of the base of the trailer ramp.
The volume of the triangular prism is given by :
[tex]V=A\times h[/tex]
A is area of base and h is height
[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]
or
A = 2167.73 cm²
So, the area of the base of the ramp is 2167.73 cm².
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
What is 4/9 + 1/9 (This problem is very easy because there are like denominators)
Answer:5/9
Step-by-step explanation:
4/9+1/9
add 1 to 4
5/9
please help. I don't understand this problem.
If x = 1 is a zero of the polynomial 3+ kx^2 + 2 ,find the value of k.
Plz it's urgent.
Answer:
k = i√ 5 , -i√ 5
Step-by-step explanation:
3 + kx^2 + 2 = ?
3 + k(1)^2 + 2 = ?
5 + k(1)^2 = ?
5 + k^2 = ?
k^2 = -5
k = i√ 5 , -i√ 5
I need help I will give brainiest
Answer:
teacher - apple = 2
grapes - students = 29
grapes - total = 33
oranges - teachers = 1
students - total = 75
teachers - total = 7
total - total = 82
what is y-2=-3 (x-7) in standard form
A.y-2=--3x+21
B.y=-3x+23
C.3x+y-23=0
D.3x+y=23
9514 1404 393
Answer:
D. 3x +y = 23
Step-by-step explanation:
If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.
3x + y = 23
_____
Standard form for a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)
It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answer:
[tex]0.109\ \text{acres per pound}[/tex]
Step-by-step explanation:
Given that,
It takes 91 pounds of seed to completely plant a 10-acre field.
We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.
[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]
So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].
d
Evaluate
arcsin
(6)]
at x = 4.
dx
Answer:
[tex]\frac{1}{2\sqrt{5} }[/tex]
Step-by-step explanation:
Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y
sin(y) = [tex]\frac{x}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)
[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]
cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]
= [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]
= [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]
Therefore, from equation (1),
[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
At x = 4,
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]
[tex]=\frac{1}{\sqrt{20}}[/tex]
[tex]=\frac{1}{2\sqrt{5}}[/tex]
What is the value of 7(4 + x) when x = 5?
Answer:
63
Step-by-step explanation:
7(4+x)
Distribute: 28 + 7x
Substitute: 28 + 7(5)
Simplify: 28 + 35
Simplify: 63
I answered wrong what’s the right answer?
CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
4, 6/9 sry if wrong
Step-by-step explanation:
HELP ME PLEASE I WILL GIVE BRAINLY CAN U PLEASE GRAPH IT
Answer:
The two points are (0,1) and (0.75, 0)
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)
no because you are not distributing numbers that multiply with each other and form new expressions
Answer:
hm I'm not sure but you solve it like this
Step-by-step explanation:
(6x + 3) + (5x - 4)
remove unnecessary parenthesis
6x+3+(5x-4)
collect like terms
11x+3-4
answer :
11x-1
5x=15 y 2x=6
Son ecuaciones equivalentes?
PORFAVOR AYÚDENME ES EMERGENCIA
how do i solve this pls help me i got 30 mins left :(
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Answer:5.25
Step-by-step explanation:
3(4−7)=27
How do I solve this
Answer:
x = 4
Step-by-step explanation:
3(4x - 7) = 27
distribute the 3
(3 * 4x) + (3 * -7) = 27
12x + (3 * -7) = 27
12x - 21 = 27
add 21 to both sides of the equations
12x - 21 + 21 = 27 + 21
12x = 27 + 21
12x = 48
divide both sides by 12
12x/12 = 48/12
x = 48/12
x = 4/1
x = 4
8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)
Answer:SEE BELOW
Step-by-step explanation:
Average the X and Y coordinates (X,Y)
X = (-8 + 8)/2 = 0
Y = (-9 + 3)/2 = -3
(X,Y) = (0,-3)
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]
G ( -8 , -9 ) & H ( 8 , 3 )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Midpoint of the given points[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)
[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]
⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]
⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]
⟶ [tex] \tt{(0 \: ,- 3})[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Please give me the correct answer
Answer: 3.75
Step-by-step explanation:
[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]
The missing side length is 3.75
Mr. Jenkins has 19 cases of beans on the shelves in the grocery store. He also has 6 cases of beans in the stock room. There are 14 cans of beans in each case. Which expression represents the total number of cans of beans Mr. Jenkins has? (19 + 14) x 6 14 x (19 + 6 ) (6 + 14) x 19 (6 x 19 + 14
Answer:
14 × (19 + 6)
hope it helps
The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Mr. Jenkins has 19 cases of beans
He also has 6 cases of beans in the stock room
There are 14 cans of beans in each case
Expression for total number of beans = ?
Total number of beans = Total number of cases ×beans in each case
Total number of beans = (beans in grocery store+beans in stock room)×14
Total number of beans = (19 +6) × 14
Hence, the expression is (19 +6) × 14
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
The cat is 12 feet above the ground and the ladder is 9 feet away from the tree because of the mud. How long does the ladder needs to be to reach the tree
Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]
one more than the product of 6 and a number v?
Plzzzzzz help me:(
And PLZZZ answer right
Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)
Please helppppppp meeeee it’s easy :)
(-3p3 + 5p2 – 2p) + (-p3 - 8p2 – 15p)
Find the sum
Answer:
-3p3+ 5p2- 2p -p3 -8p2-15p
-3p3-p3+5p2-8p2-2p-15p
4p3-3p2-17p
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Plz answer
Answer:
He made a profit of 40-32 = Rs 8 per copy.
He got a 25% profit in the business of copies
Step-by-step explanation:
Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.
He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.
Each copy finally cost 4608/144 = Rs 32.
He sold all copies for Rs 5760, at 5760/144= Rs 40 each.
Therefore, he made a profit of 40-32 = Rs 8 per copy.
The total profit in his business of copies was 5760 - 4608= 1152
This is a percentage of:
[tex]\frac{1152}{4608}*100 = 25\%[/tex]
Due soon will give brainliest
Answer:
B can I please get Brainliest
Step-by-step explanation:
Answer:
c. 4 cm, 6 cm, 10 cm
Step-by-step explanation:
To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't. 6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice. 12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice. 10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well. The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.
1) Choose the correct answer.
The ___ of two sets is the set of elements that could be found in both sets at the same time.
intersection
union
conjunction
disjunction
Answer:
Intersection
Step-by-step explanation:
The intersection of two set A and B is defined as the elements which can be found in both set A and set B.
For instance :
A = {1, 3, 5, 7, 9, 11}
B = {2, 4, 6, 7, 8, 9, 10}
The intersection of the two sets A and B denoted as ;
AnB = {7, 9}
a cyclist rode 3.75 miles in 0.3 hours how fast was she going in miles per hour?
Answer:
12.5 miles per hour
Step-by-step explanation:
Math
Answer:
12.5 MPH
Step-by-step explanation:
Miles per hour can also be written as miles/hour
therefore 3.75 miles in .3 hours can also be written as 3.75 miles/.3 hours
3.75 / .3 = 12.5
Therefore the cyclist was going 12.5 miles per hour
PLEASE IF I DON GET THIS RIGHT I WILL HAVE TO REDO MATH PLEASE HELP
Answer:
x= 8 and y= 8 square root of 2
Step-by-step explanation: