Answer:
0.331491713 but can convert to 60/181
Step-by-step explanation:
MODELING WITH MATHEMATICS The Uniform
Federal Accessibility Standards specify that a
wheelchair ramp may not have an incline greater
than 4.76°. You want to build a ramp with a vertical
rise of 8 inches. You want to minimize the horizontal
distance taken up by the ramp. Draw a diagram
showing the approximate dimensions of your ramp.
The length of the ramp is 96.5
SOH CAH TOA identityGiven the following parameters from the question
The vertical rise of the ramp = 8 inches
The angle of elevation = 4.76°.
Required
length of the ramp
Using the SOH CAH TOA identity;
tan theta = opp/hyp
sin4.76 = 8/H
H = 8/sin4.76
H = 8/0.0829
H = 96.5
Hence the length of the ramp is 96.5
Learn more on SOH CAH TOA here; https://brainly.com/question/20734777
The area of the triangle is 2/25 and the height is 1/5ft, what is the length of the base?
Substitute this simultaneous linear equation
[tex]2x + 2y = 14 \\ 5x - 2y = 14[/tex]
Answer:
[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]
From equation (1) ;
[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]
Substitute in equation (2)
[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]
[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]
If the circumference of a circle is 43.4 cm,
then what is the diameter? Use 3.1 for n.
Answer:
the diameter is 14cm
Step-by-step explanation:
to get the circumference of a circle you would need to times the diameter (d) by pi or in this case n which is 3.1
this result is 43.4cm
now to figure out the diameter we would have to reverse this so the equation would be
d=43.4/n
which is the same as d= 43.4/3.1
the result of this is d= 14
so the diameter is 14cm.
deserving of brainliest?
A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?
pls give explanation and working out.
thnx :)
chanda wants to put 150 square metres of garden at her backyard. This is the maximum area of garden she can have. She wants to have a rectangular area of garden with length one metre less than 3 times with the width. Find the length and width to the nearest tenth of a metre
Answer:
length: 20.7 mwidth: 7.2 mStep-by-step explanation:
Let x represent the width of the garden. Then its length is 3x-1 and its area is ...
A = LW . . . . . . . . . . . . area of a rectangle is length times width
A = (3x -1)(x) = 150
3x^2 -x = 150
x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square
x -1/6 = √(50+1/36) . . . . . . . . . take the square root
x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden
The length will be ...
3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191
To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.
What are 3 ratio equivalent to 5/15
Answer:
1 : 3, 3 : 9, and 6 : 18
Step-by-step explanation:
Slope Intercept Form Calculator: Greater Than
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Chemical Calculator: Error Function Calculation
Answer:
1 : 3, 2 : 6, and 3 : 9
Step-by-step explanation:
In the fraction 5/15, 5 is equivalent to one-third of 15. That means we need ratios with the second number being 3 times greater than the first. For example, 3 is 3 times greater than one, 6 is 3 times greater than 2, and 9 is 3 times greater than 3.
Leandro has a piece of fabric that is 56 centimeters long and 6 centimeters wide. He cuts it into pieces that are 8 centimeters long and 2 centimeters wide
Answer:
so therefore the final answer will be 16
How many ways can a committee of 5 be selected from a club with 10 members?
Answer:
252
Step-by-step explanation:
I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.
-4 2/3 divided by 1 5/9
Show work
let's firstly convert the mixed fractions to improper fractions and then divide them.
[tex]\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} ~\hfill \stackrel{mixed}{1\frac{5}{9}}\implies \cfrac{1\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{14}{9}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{3}\div\cfrac{14}{9}\implies -\cfrac{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\cdot \cfrac{9}{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{9}{3}\implies -3[/tex]
Answer:
-3
Step-by-step explanation:
Lets convert 4 2/3 to an improper fraction
-(4 * 3/3 + 2/3)/1 5/9
Combine 4 and 3/3
-(4 * 3/3 + 2/3)/1 5/9
Combine numerator over denom
-4 * 3 + 2/3/1 5/9
Simplify numerator
-12 + 2/3/1 5/9
Add 12 and 2
-14/3/1 5/9
Now we convert 1 5/9 to an improper.
-14/3/(9/9) + (5/9)
Combine
-14/3/(9 + 5)/9
Add 9 and 5
-14/3/(14/9)
Multiply yhe numerator by the reciprocal of the denom
-14/3 * 9/14
14(-1)/3 * 9/14
-1/3 * 9
Cancel the common factor of 3
-1/3 * (3(3))
-1 * 3 = -3
If $12,000 is invested at 4.5% for 20 years, find the future value if the
Interest is compounded…
Annually 3a)28,940.57
Semiannually 3b)
Quarterly 3c)_________
Monthly 3d)29,456.60
Continuously 3e)_________
T minutes ,N people with the formula = t= 5n^2 +15
a)When there is four people what's the minutes
b) when the time is 2hours 20mins how many people
Answer:
a) n = 4 , t = ?
[tex]t = 5 {n}^{2} + 15 \\ \\ t = 5 {(4)}^{2} + 15 \\ \\ t = 5(16) + 15 \\ \\ t = 80 + 15 \\ \\ t = 95 \: min[/tex]
__o__o__
b) n = ? ,
t = 2hours 20mins ––> t = (2× 60) mins + 20 mins
t = 120 + 20 = 140 mins
so; time in the mins = 140 mins
[tex]t = 5 {n}^{2} + 15 \\ \\ 140 = 5 {n}^{2} + 15 \\ \\ 5 {n}^{2} = 140 - 15 \\ \\ 5 {n}^{2} = 125 \\ \\ {n}^{2} = \frac{125}{5} \\ \\ {n}^{2} = 25 \\ \\ n = 5[/tex]
so ; five people in 2hours 20mins
help soon!!!! tysm!!!
[tex]36-b ^ { 2 } -c ^ { 2 } +2bc\\= 36-\left(b^{2}+c^{2}-2bc\right) \\= 6^{2}-\left(b-c\right)^{2} \\=\boxed{ \left(6-b+c\right)\left(6+b-c\right) }[/tex]
Hope it helps ⚜
Choose Yes or No to tell if the fraction 5 8 will make each equation true. 8 15 − □ = 3 7 Choose... □ − 5 16 = 5 8 Choose... 7 8 − 1 2 = □ Choose... 3 4 − 1 8 = □ Choose...
Answer:
no no no yes
Step-by-step explanation:
i got it on my test and i was correct
If a dairy has 8 gallons of milk to sell and they package the milk in quarts, how many quarts will they have to sell?
Answer:
32 quarts
Step-by-step explanation:
1 gallon = 4 quarts
⇒ 8 gallons = 8 x 4 = 32 quarts
Answer:
32 quarts
Step-by-step explanation:
Khan
Pls help!! I need help
Answer:
Step-by-step explanation:
I'm going to guess that the question is "How do you represent the distance between the left and right sides?"
The red dots are closed which means that the end points are included.
5 ≤ x ≤ 8
The length is 8 - 5 = 3
Can someone tell me the ans pls
Answer:
2 : 5
7
56/7 = 8
8x2= 16
8x5=40
40 + 16 = 56
Basel get $40.00
S.p=208rs, profit percentage=4%. Find c.p
Given :
Selling price is Rs 208 .Profit percentage is 4% .To Find :
The cost price .Solution :
Let us suppose ,
→ CP = Rs x
Therefore the profit will be ,
→ Profit = SP - CP
→ Profit = 208 - x
Now we know that ,
→ Profit% = profit/CP * 100
Substituting the respective values ,
→ 4 = (208-x)/x * 100
→ 4 * x = (208- x)*100
→ 4x = 20800 - 100x
→ 100x + 4x = 20800
→ 104x = 20800
→ x = 20800/104
→ x = 200
Hence the cost price is Rs 200.
I hope this helps.
Refer to the attachment!
Find the area of the shaded region.
Answer:
SOLUTION,
HERE,
Area of whole fig= l×b
=5×15
=75 sq.in
Area of unshaaded part=l×b
=3×8
=24 sq.in
Area of shaded part=(Area of whole fig)-(Area of unshaded part)
=75-24
=51 sq.in
hope it helps u :)
Use intercepts to graph the linear equation -2x+6y=18 .
A sociologist sat married couples down in her office and asked some survey questions for her statistical study on marriage. The first married couple was Bonnie and Clyde. Bonnie sat down next to her husband while the sociologist sat across the table from them both. The sociologist asked each the question, if you could return to the past, would you marry your spouse all over again?" This was continued for several other married couples. This is not a good way to conduct this survey and most likely will not give representative results of all married couples. Why not?
Answer:
Step-by-step explanation:
I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.
Why hurt her feelings?Why lock her answer in? As soon as she hears my answer, she knows what her answer needs to be. Or she's pressured into giving that answerBecause the answer is so likely to be the same way, how would this question pick up on the couples that despise each other?What is the factorization of the polynomial below ? 16x2 -9
Answer:
(4x + 3)(4x - 3)
Step-by-step explanation:
I am going to assume by 16x2 -9 you mean 16x² - 9
The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.
First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.
( + 3)( - 3)
Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².
(4x + 3)(4x - 3)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Evaluate the expression. 12 (6) + 1/4 2² = what?
Mandy and Joshua work together on Market Day at their school. They split the profit according to the ratio 2 : 3 respectively. They make a profit of R825.Calculate the amount Mandy will receive.
Answer:
R330
Step-by-step explanation:
2 + 3 = 5
5x = 825
2x = 825 x 2/5
825 x 2 = 1650
1650/5 = 330
Mandy makes R330.
Mandy's share from the profit is R495
Data;
Profit = R825ratio = 2:3RatiosThis is the portion shared between two or more entities in a definite proportion.
To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.
[tex]2 + 3 = 5\\\frac{3}{5} * 825 = 495[/tex]
Mandy's share from the profit is R495
Learn more on ratio here;
https://brainly.com/question/2914376
Solve for x.
5(x−3 3/4)=7 1/2
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x= 21/4
Step-by-step explanation:
1- Convert the expressions
5 ( x - 3 3/4 ) = 7 1/2
2- Remove the parentheses
5 ( x - 15/4 ) = 15/2
3- Move the constant to the right
5x - 75/4 = 15/2
4- Calculate the sum
5x = 15/2 + 75/4
5- Divide both sides
5x = 15/2 + 75/4
Hey can anyone help me find the missing side lengths please and thank you
Answer:
choice a
Step-by-step explanation:
angle 45 means, its a isosceles triangle.
so y = √3
x^2 = 3+3= 6
x = √6
RECRUITING Emily gets paid to recruit people to join an email list at work. If she signs up 5 friends and they all sign up 5 more friends, the function y = 5x represents the number of people on the email list after so many cycles. Select all the key features that apply to y = 5x.
The number of people on the email list after so many cycles is given by y = 5x.
Linear equationA linear equation is in the form
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the number of people on the email list after x cycles. Hence, it is given by:
y = 5x
The number of people on the email list after so many cycles is given by y = 5x.
Find out more on Linear equation at: https://brainly.com/question/13763238
tell me the answer pls I'll give brainliest
Answer:
Reflection across y
Step-by-step explanation:
Y is the line up and down. Each shape is a reflection of each other across this line.
Solve y^2= 49 , where y is a real number
Simplify your answer as much as possible
[tex] {y}^{2} = 49[/tex]
Move the square to the right-hand side and convert it to underoot
[tex]y = \sqrt{49} [/tex]
Calculate the root of 49
[tex]y = 7 \:or -7[/tex]
Answer:
y = +7 or -7
Step-by-step explanation:
y^2 = 49
square rooting both sides
y = √49
y = +7 or -7
O S= 17
O S= 272
O S= 4
O S= 79
Help pleaseee
Answer: 17
Step-by-step explanation:
B/c corresponding parts of congruent figures are congruent,
4s = 68
s = 17
Answer:
17
Step-by-step explanation:
C = R
4s = 68
[tex]s = \frac{68}{4} [/tex]
s = 17