Answer: 1/4
Step-by-step explanation:
skateboarding ramp is 12in. high and rises at an angle of 23 degrees. How long is the base of the ramp? Round to the nearest inch.
Answer:
the length of the base of the ramp is 28.27 inches
Step-by-step explanation:
The computation of the length of the base of the ramp is shown below:
Let us assume x be the length of the base of the ramp
Now the following formula should be used
tan = opposite ÷ adjacent
tan 23 degrees = 12 ÷ x
x = 12 ÷ tan 23 degrees
= 12 ÷ 0.42447482
=28.27 inches long
Hence, the length of the base of the ramp is 28.27 inches
A car and a truck left Washington, DC traveling in opposite directions. The car
traveled 19 miles
per hour faster than the truck, and at the end of 8 hours they were
1048 miles apart. What was the average speed of each vehicle?
Answer:
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Step-by-step explanation:
Call the speed of the truck (x) miles per hour. As per the given information, the car is (19) miles per hour faster. Thus, one can form expressions to represent the speeds of the vehicles.
car = ( x + 19 ) mph
truck = ( x ) mph
Using the formula, ( (speed) * (time) = (distance) ), one can say that the speed of the car, times the time it took plus the speed of the truck times the time will equal the distance between the two vehicles:
(( car speed )( time )) + (( truck speed )( time )) = ( distance between vehicles )
Substitute,
( ( x + 19 ) ( 8 ) ) + ( ( x ) ( 8 ) ) = 1048
Simplify,
8x + 152 + 8x = 1048
16x + 152 = 1048
-152 -152
16x = 896
/16 /16
x = 56
Add (19) to find the speed of the car:
truck speed + 19
= 56 + 19
= 75
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Answer:
The truck traveled at 81
mph. The car traveled at 100
mph.
Step-by-step explanation:
what is the slope of the graph?
The midpoint between x and 27 is -3
Answer: x = -33
Step-by-step explanation:
27 + 3 = 30
-3 - 30 = -33
Answer:
-33
Step-by-step explanation:
I already took it TwT
245 tickets in 5 days what is the unit rate
Answer:
245/5 = 49 tickets per day
Answer:
245 / 5 = 49 so
49 tickets per day
(x+4) (x-1) in standard form
Answer:
x^2-5x+4
Step-by-step explanation:
(x+4)(x-1) in standard form is x^2-5x+4
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for rock music bundles. Identify the variables in the equations.
Answer:
Equation for the total cost for pop music bundles = $ 1200 x + 300
Where variable is the Cost.
Equation for the total cost for rock music bundles = $ 950 x + 250
Where variable is the Cost.
Step-by-step explanation:
P.S - The exact question is -
Given - The Music Express is going to buy music bundles from a
company that is going out of business. The company
charges different amounts for bundles of pop and rock
music:
Cost for each pop music bundle is $1200
Cost for each rock music bundle is $950
One - time fee for rights to the pop music is $300
One - time fee for rights to the rock music is $250.
To find - Write an equation that represents the total cost for pop
music bundles.
Write another equations to represent the total cost for rock
music bundles.
Identify the variables in the equations.
Proof -
Given that,
Cost for each pop music bundle is $1200.
Cost for each rock music bundle is $950.
One - time fee for rights to the pop music is $300.
One - time fee for rights to the rock music is $250.
Let the total music bundles buy = x
Now,
Given, Cost for 1 pop music bundle = $1200
⇒Cost for x pop music bundles = $ 1200 x
Also given,
One - time fee for rights to the pop music is $300.
∴ we get
Equation for the total cost for pop music bundles = $ 1200 x + 300
Where variable is the Cost.
Now,
Given, Cost for 1 rock music bundle = $950
⇒Cost for x pop music bundles = $ 950 x
Also given,
One - time fee for rights to the pop music is $250.
∴ we get
Equation for the total cost for rock music bundles = $ 950 x + 250
Where variable is the Cost.
What is the value of x?
16
30
X=?
Answer:
Step-by-step explanation:
It’s a right triangle, so use the Pythagorean Theorem.
x^2 = 30^2 + 16^2 = 1156
x = 34
The sum of two numbers is 57 and the difference is 5. What are the numbers?
larger number:
smaller number:
Answer:
25+22
Step-by-step explanation:
When you subtract 27 to 22
Answer:
31 and 26
Step-by-step explanation:
31 + 26 = 57
31 - 26 = 5
Therefore, your answer is 31 and 26
5. Convert in to mixed fractions
(a)
18
5
Answer:
3⅗
Step-by-step explanation:
5×3 =15
18 - 15 = 3
therefore
18÷5
is
3⅗
Convert in to mixed fractions 18 and 5
Answer↓3 with a reminder of 3Explain↓Multiply the newest quotient digit (3) by the divisor 5 . Subtract 15 from 18 . The result of division of 185 is 3 with a remainder of 3 .
Hopefully help:)
#CarryOnLearningPolynomials math question
Determine the value of e.
Question options:
A)
16
B)
32
C)
18
D)
8
9514 1404 393
Answer:
A) 16
Step-by-step explanation:
The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...
e/8 = 8/4
e = 8(8/4) = 8(2) = 16
The value of e is 16.
Morning donuts recently sold 18 donuts of which 1 was a cake donut. What is the experimental probability that the next donut sold will be a cake donut
A patrol officer used radar to note the speeds of cars, in miles per hour, as
they went by on the highway
65, 66, 63, 56, 56 50, 85, 61, 73, 81
How fast will the next car need to be going to change the median speed of
the cars to 63 miles per hour?
A. 80 miles per hour
B. 75 miles per hour
C 65 miles per hour
D 61 miles per hour
Answer: 61 miles per hour.
Step-by-step explanation:
The median is the number that's placed in the middle when the given numbers are either arranged in the ascending it the descending order.
In this case we are already given the speed of the cars as 65, 66, 63, 56, 56 50, 85, 61, 73, 81. We will therefore arrange them in ascending order and this will be:
50, 56, 56, 61, 63, 65, 66, 73, 81, 85.
To change the median speed of
the cars to 63 miles per hour, the 6th number when arranged in ascending order has to be 63. Therefore, in thus case, we will need a speed lessee than 63 miles pee hour. Therefore, option D is the answer.
When we re-arrange with the new speed included. This will be:
50, 56, 56, 61, 63, 63, 65, 66, 73, 81, 85.
Therefore, we can see that the median is 63.
How do u evaluate x+11?
Answer:
You can't.
Step-by-step explanation:
You have nothing to substitute for the x.
David used the computer a total of 45 hours last week. How
many more did David use the computer to play games than to do
homework?
HELP EASY MATH CLICK THIS PLEASE ANSWER LATE DUE LAST WEEK EASY
Answer:
344 m^2
Step-by-step explanation:
Area of the 2 triangles: (2)(1/2)(10)(5)=50
Area of three sides:3(7)(14)=294
294+50=344
Answer:
246
Step-by-step explanation:
The graph shows the speed of a particle over a 10 second time interval.
Speed m/s
40
(4.39)
(2.36)
(6, 31)
20
(8, 14)
(10,0) Time in
0
4
6
8
(0,0)
2
10 seconds
Find an estimate for the distance travelled by the particle.
+
Answer: 240
Step-by-step explanation:
2x36)/2=36
(36+39)x2/2=75
(31+39)x2/2=70
(14+31)x2/2=45
(2x14)/2=14
14+45+70+75+36=240
I hope this helps :)
Ellie and Lily share
bananas in the ratio 3: 4. If
Lily gets 24 how many
bananas does Ellie get?
Answer:
Ellie gets 18 bananas. your welcome
Answer:
18
Step-by-step explanation:
The 4 part of the ratio refers to Lily's 24 bananas
Divide 24 by 4 to find the value of one part of the ratio
24 ÷ 4 = 6 ← value of 1 part of the ratio, then
3 parts = 3 × 6 = 18
Ellie gets 18 bananas
Find a real-world example of this diagram. Next, write and solve a word problem about parallel lines and their associated angles based on your real-world example of the diagram.
Answer:
Step-by-step explanation:
A road
Problem
There are 7 students in a class: 2 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
Answer:
2/7
Step-by-step explanation:
The total number of possibilities is 7 * 6 * 5
The number of possibilities for all girls is 5 * 4 * 3
so the probability is:
[tex]\frac{5*4*3}{7*6*5} \\\frac{4*3}{7*6} \\\frac{12}{42} = \frac{2}{7}[/tex]
HELP HELP HELP HEPL memememememme
Answer:
A.
Step-by-step explanation:
vertical translation UP 1 unit
Solve 4/s=-2/9 please help
Answer: 4/15
Step-by-step explanation:
hope it's help you.......
If the cost of 40 pens is Rs 600 , what is the amount required to purchase 4 dozen of pens
Answer:
Rs 720.
Step-by-step explanation:
4 dozen = 48 pencils.
By proportion 48 pencils cost
(48/40) * 600
= 6/5 * 600
= Rs 720.
The sum of three numbers which are in tne ratio 2:5:7 is 28
Then the smallest number is --
Answer:
4
Step-by-step explanation:
Let the numbers be 2x,5x and 7x respectively.
2x+5x+7x=28
14x=28
x=28/14=2
Therefore the numbers are 2(2)=4,5(2)=10 and 7(2)=14
The smallest number is 4
0.242 to the nearest hundredth
Someone type this up, I don't feel like dealing with it and well, you get points.
Answer:
[tex] \sqrt[3]{216} = \sqrt[3]{ {6}^{3} } = 6[/tex]
this is your answer
Solve the following question using the elimination method :)
PLEASE HELP PLEASE ! 50 POINTS!
Answer:
From left to right:
x=-9
x=-23
x=24
x=8
x=-9
x=-28
Step-by-step explanation:
63/-7=-9
-15-8=-23
12*2=24
-4*-2=8
-20+11=-9
-7*4=-28
-7x=63 answer is -9
x + 8=-15 answer is -7
1/2x=12 answer is 24
x/-2= -4 answer is 8
x-11=-20 answer is -9
1/4x=-7 answer is -28
Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers did steve buy?
Answer:
Let x be the number of pencils Steve bought.
Let y be the number of erasers Steve bought.
x=y+5
0.1x + 0.25y = 1.55
Solving the system, our answer is: (8, 3)
So, she bought 3 erasers.
Let me know if this helps!