Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time
Answer:
Samuel : x
wife : y
sum of their age : 2+ x : 10
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
PLEASE GIMMI ANSWER ASAP
Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.
100% + 5% = 105 %
105/100 x 40$ = 42$
Answer:
hi the answer is 2$
Step-by-step explanation:
40 divided by 10 is 4 divided by 2 is 2
tell me if you need any more help please mark as brainliest
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
When you are asked what is the domain, you are basically asked what x values work for the function.
Multiply the function to get [tex]xe^x + 6e^x[/tex]
[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers
Its range is also all real numbers because the domain is continous for every single value you plug in
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?
help!!! ill mark brainliest!
Answer:
90
Step-by-step explanation:
My brother got that same question and he did it with his class
In need of help PLEASE!!!!
Answer:
a bc I think it's right idk really
Step-by-step explanation:
jdlaifnshfjtjtjfjdjsjdurbxusnejskshduanwufnrudjdjfkgkgjdjfjgktjvinehdovndintivnsjvolebvinebfirbxjbwhgoenchbtijbegijrgcihegcinrhd
The revenue from selling xshirts is r(x) = 12x.
The cost of buying x shirts is c(x) = 5x + 20
The profit from selling x shirts is p(x) = r(x)-c(x).
What is P(x)?
A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20
Answer:
D. [tex]p(x)=7x-20[/tex]
Step-by-step explanation:
[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]
Simply subtract the two functions from each other and simplify to get the result.
I'm just so lost...
Help!
Answer:
Step-by-step explanation:
What is the mid point of the segment shown below please help
what is 40.8 ÷ 6? Please explain how you got your answer
Answer:
6.8
How many 6's can go into 40?
6 + 6 + 6 + 6 + 6 + 6 = 36
6 6's
Subtract the amount off
40.8-36=4.8
How many 6's can go into 4.8?
0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48
0.8 6's
4.8 = 4.8 = 0
6 6's + 0.8 6's = 6.8 6's
6.8 is the answer
If you have any questions you can ask
Step-by-step explanation:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
9514 1404 393
Answer:
6 days210 pagesStep-by-step explanation:
1. The number of pages (y) Amir reads in x days is ...
y = 35x
__
2. Jessie has been reading 1 more day than Amir, so an expression for the number of days Jessie has been reading is ...
x +1
The number of pages Jessie has read is ...
y = 30(x +1)
__
3. The system of equations is the two of these equations written together:
y = 35xy = 30(x +1)__
4. Using substitution to solve this, we find it convenient to substitute for y. Either equation provides an expression for y that can be substituted into the other equation. After substitution, the equation looks like ...
35x = 30(x +1)
__
5. We can subtract 30x from both sides and divide by 5 to solve.
35x -30x = 30(x +1) -30x
5x = 30x +30 -30x
5x = 30 . . . . simplified form after subtracting 30
x = 6 . . . . . . .result of dividing both sides by 5
y = 35x = 35·6 = 210
(x, y) = (6, 210)
__
6. It takes Amir 6 days to catch Jessie. At that time, both will have read 210 pages.
In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Answer:
Step-by-step explanation:
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds
V = U + at
1.2u = u + a*10
=> a = 0.02u
S= ut + (1/2)at²
Distance in 1st 10 secs
S = u(10) + (1/2)(0.02)(10)²
=> S = 10u + u
=> S = 11u m
Constant speed 1.2u for 15 secs
S = 1.2u * 15
=> S = 18u m
Total Distance Covered d = 11u + 18u = 29u m
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Answer:
3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
Step-by-step explanation:
Answer:
answer d
Step-by-step explanation:
edg 2020
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
An angle between 180’ and 360’
Step-by-step explanation:
you start with 90 then 180 then270 then 360
Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Complete Question:
Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Answer:
Extra amount needed by Jenny to buy the tiles = £8
Step-by-step explanation:
Floor area = 30.0 m^2
Area covered by a pack of tiles = 2.0 m^2
Number of packs needed = 30/2
Number of packs needed = 15
Price of a pack of tiles = £9.60
Discount = 25%
Jenny will pay 75% of the marked price
Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60
Amount Jenny will pay for a pack of tiles = £7.20
Amount Jenny will pay for 15 packs of tiles = 7.20 x 15
Amount Jenny will pay for 15 packs of tiles = £108
The amount of money Jenny currently has = £100
Extra amount needed by Jenny to buy the tiles = £108 - £100
Extra amount needed by Jenny to buy the tiles = £8
What is the diameter of a circle with a radius of 9.5 cm ?
Answer:
9.5(2) = 19 is the diameter
Step-by-step explanation:
Answer:
19 cm
Step-by-step explanation:
Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm
evaluated 5x - (x + 3)2 for x = 2,
Answer:
0
Step-by-step explanation:
5x - (x+3)2
5x - (2x+6)
5x - 2x -6
3x - 6
3(2) - 6
6 - 6
0
Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it. If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
What is the volume in cubic units of a cube with a side length of 1/2 unit?
Answer:
1/8
Step-by-step explanation:
[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
write 10 examples of cuboid in our daily life
Answer:
Ten examples of cuboids in our daily lives are:
1.Shoeboxes
2.Bricks
3.Matchbox
4.Books
5.Mattresses
6. Juice box
8. Fridge
9.Bathroom cubicle
10.Cabinet
Step-by-step explanation:
I really hope this helps
