Answer:
2(12x-1)
Step-by-step explanation:
expand the expression
24x-12+10
add the constants
24x-2
take out 2, since it is common
2(12x-1)
The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.
Answer:
The percent of interest is 12.3% per year
Step-by-step explanation:
According to the question Elwood invested 5000 $ in market account
The market account gives the compound interest annually
let p be the interest per year then
At the end of 1st year
amount =(1+0.p) x 5000 = 1.p x 5000
similarly at the end of 2nd year
amount =(1+0.p) x(1+0.p)x 5000 = [tex](1.p)^{2}[/tex] x 5000
similarly at the end of 3rd year
amount = 7100 $ = [tex](1.p)^3[/tex] x 5000
⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]
1.392 = [tex](1.p)^3[/tex]
on further solving we get
1.p = [tex](1.42)^{1/3}[/tex] = 1.123
thus 1.p = 1 + 0.p = 1.123
thus p = 0.123
thus the percent of interest is 12.3% per year
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Which of the following statements is true of the diagram?
Answer:
option 2
Step-by-step explanation:
QR = 15 ( triangle is a 8- 15- 17 Pythagorean triple )
cosP = [tex]\frac{PR}{PQ}[/tex] = [tex]\frac{8}{17}[/tex] ≠ [tex]\frac{8}{15}[/tex]
tanQ = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{8}{15}[/tex] ≠ [tex]\frac{15}{8}[/tex]
sinP = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ≠ [tex]\frac{8}{17}[/tex]
cosQ = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ← correct statement
Answer:
its the cos q = 15/17
Step-by-step explanation:
cos q = 15 (adjacent) / 17 (hypothenuse)
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
They both equal
Step-by-step explanation:
The statement is true about ∠2 and ∠6 is corresponding angles.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
Parallel lines j and k are cut by transversal t .
We have to find statement is true about ∠2 and ∠6.
According to given question we have
Parallel lines j and k are cut by transversal t .
So,
∠2 = ∠6 ( corresponding angles)
∠1 = ∠5 ( corresponding angles)
Therefore, the statement is true about ∠2 and ∠6 is corresponding angles.
Learn more details about line here:
https://brainly.com/question/2696693
#SPJ1
A team's total salaries is $4,614,244. The team would like to bring the total down to $3.5 million. What would be the percentage decrease in the team's total salary?
Answer:
24.14%
Step-by-step explanation:
Given that,
A team's total salaries is $4,614,244.
The team would like to bring the total down to $3.5 million = $3500000
We need to find the percentage decrease in the team's total salary. The percentage decrease/increase in any value is givenby :
[tex]\%=\dfrac{\text{change in population}}{\text{initial population}}\times 100\\\\=\dfrac{3500000-4,614,244}{4,614,244}\times 100\\\\=24.14\%[/tex]
So, the percentage decrease in the team's total salary is 24.14%.
i’ll mark you brainliest
Answer:
thanks and it is 25
there are 4 prime numbers in the spinner
A 100% = 4
? = what about
100×1/4
= 25%
if a car travels 120 miles in 4 hours. what is its speed per hour
Answer:
v = 30 km/h
Step-by-step explanation:
Given that,
Distance covered by a car, d = 120 miles
Time, t = 4 hours
We need to find the speed of the car. The speed of an object is equal to the distance covered divided by the time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{120\ \text{miles}}{4\ \text{hour}}\\\\v=30\ \text{mph}[/tex]
So, the speed of the car is 30 km/h.
In which of the following sets can each
number only be classified as rational?
A {0, - 18 , 124, -3, 3)
B {3.5, -4, 23.8, -1.2, 0}
C {-5, 13, 233, 42,3)
D {-7.75, -5.8, 0.125, 4, 21}
The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number?
Answer:
x = 8
Step-by-step explanation:
Let the number = x
x/6 - 1/3 = x/8
-1/3 = x/8 - x/6
-1/3 = (6x-8x)/48
-1/3 = -2/48x
Divide both sides by -2/48
x = -1/3 ÷ -2/48
= -1/3 × -48/2
= 48/6
= 8
x = 8
The number = 8
What is a SKEW in Geometry?
You are going clothes shopping and can spend at most $130 on clothes. It costs $30 for a pair of pants and $22 for a shirt. Let x represent the number of pants you can buy. Let y represent the number of shirts you can buy.
Answer:
HERE
Step-by-step explanation:
30x + 22y=130
I WILL GIVE YOU BRAINLY PLSS
Victor scored a 9, 7, and 10 on his first three math tests. What score must he get
on his fourth test to have a score of at least 34 points?
A. ≥ 8
B. 9
D. > 8
PLSS SHOW YOUR WORK PLSS
Answer:
9
Step-by-step explanation:
9+10+7=26. 9+26=35 so he has 35 points which is more than 34. hope this helps
What is the value of the growth factor of the function?
A) 1/5
B) 1/3
C) 2
D) 6
Answer:
B
Step-by-step explanation:
Divide 18 by one third and see what ya get
then 6, then 2. BOOM!
4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
Answer:
4.5m is 450%
90cm is 45%
Step-by-step explanation:
2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Please help!!!
Answer:
The first angle is the smallest
Step-by-step explanation:
Step one:
given data
Angle 1= x+37
Angle 2= 90
angle 3= x+67
We know that the sum of angle in a triangle is 180
so
x+3+90+x+67= 180
collect like terms
2x+160= 180
2x=180-160
2x= 20
divide both sides by 2
x= 10
Step two:
so
Angle 1= 10+37= 47 °
Angle 2= 90= 90
angle 3= 10+67= 77 °
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer...
Answer:
v
Step-by-step explanation:
the first letter of volume is v, therefore it would be the most meaningful.
5 minus negative 6 minus one equal 9
Can i have a straight answer for these questions
To dilate a figure means to change it.
The figure before the transformation is called the _____________, or original
The figure after the transformation is called the ____________ or new image. We would label that with a __________
You can identify the new figure by looking for the __________symbol
Congruence refers to whether or not a figure has the same ________ and ________ after a transformation
When you dilate a figure it keeps the same ____________ but not the same ________
Orientation of a figure is the direction a figure is _________
When you dilate a figure it __________ it’s _________
When you dilate a figure the corresponding __________ are ______________,
and the corresponding ____________ are __________________
Example 1: Write an algebraic representation that would result in an enlargement of a figure.
Example 2: Write an algebraic representation that would result in a reduction of a figure.
Example 3: State whether each statement is true or false
A polygon that is dilated will have a different orientation
When you dilate a figure the angles of the figure change
(x, y) (0.5x, 0.5y) would result in a reduction of a dilated figure
(x, y) (ax, ay) if a is between 0 and 1 the image would be an enlargement
Naruto usamaki is the greatest hokagey in the leaf village
Product of square of x and cube of y
Where’s the image? I don’t see it
A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?
Answer:
Ok me la p3l4swkekbdjwkkagdy2hk
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
The black graph is the graph of y=f(x). Choose the equation for the red graph.
Answer:
y-1 = f(x)
Step-by-step explanation:
Here, we want to choose the equation for the ref graph
The red graph as we can see is above the black
This means it is more positive
The difference between the two is just 1 unit
By the addition of 1 to the y-value of the black graph, we get the red
Thus, we have that;
y- 1 = f(x)
Which of the following represents the solution to the equation 4x - 2 = 10?
Answer:
the top option
Step-by-step explanation:
solve 4x - 2 = 10 and you get
4x = 12
x = 3
this means there is only one solution and only 3 should be filled in
PLSSSSSSSS HELLLLLPPPPPPP!! BRAINLIEST FOR CORRECT ANSWER!!!!!!!!!!!!!!Find the amount paid for the loan. $2400 at 10.5% for 5 years
Answer:
3,660
I hope this helped
if 72 is 40% what is 100%?
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
James wants to buy a new cell phone package there are three packages available for each offering a different deal which package offers the best deal
Answer:package 3
Step-by-step explanation:
Hope I am right it is there cheapest
Translate the figure 7 units right and 3 units down.
Plot all of the points of the translated figure.
I need to know the answer to this
Answer: 276
Step-by-step explanation:
multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.
the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club
Answer:
Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42
Step-by-step explanation:
