Answers
Answer:
806.5 in ^2
Step-by-step explanation:
Separate into 3 figures: rectangle, trapezoid, and triangle
Rectangle:
A = 16*9
A = 144
Trapezoid:
A = ((16+31)/2)*15
A = 352.5
Triangle:
A = (31*20)/2
A = 310
TotalArea:
144+352.5+310
A = 806.5 in^2
Related Questions
5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answers
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answers
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
Answers
Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18
Answers
Answer:
The answer is B or -(-18) = 18
Step-by-step explanation:
on Edg 2021
Answer:
D
Step-by-step explanation:
Cuz I did it on a test and I got it right.
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
Answers
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe
Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?
Answers
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answers
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
Answers
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answers
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
Solve for r in the expression 3 (2 - 5) = 12.
Answers
Answer:
The answer is x = 9
Step-by-step explanation:
[tex]3(x-5)=12[/tex]
use the distributive property on the left side
[tex]3x-15=12[/tex]
add 15 to both sides
[tex]3x=27[/tex]
divide both sides by 3
[tex]x = 9[/tex]
Answer:
The correct answer will be x=9
Step-by-step explanation:
Because I said so
simplify the first expression 5(m+1)-1=
Answers
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
cm
2
, what is the length of the diagonal?
Answers
Answer:
Use the formula of areal*b*h
Expand and simplify the following:
6x - 3(2x-1)
Answers
Answer:
3
Step-by-step explanation:
=6x-3(2x-1)
=6x-6x+3
=3 Answer
HELPP PLZZZZZZZZZZ tand thanks
Answers
Bentley invested $430 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $510?
Answers
Answer:
its 11
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Please help me will give brainlyest.
Answers
Answer:
x=24
Step-by-step explanation:
I think that its just a degree sign tbh
but because pc is a radius and so is pd their opposite angles are equal to each other.
so angle d and angle c are congruent
then because a triangles angles add up to equal 180 we do
180=x+54+x+54+x and solve for x
step 1 combine like terms x+x+x=3x 54+54=108
180=3x+108
step 2 subtract each side by 108
3x=72
step 3 divide each side by 3
x=24
hope this helps (:
Answer:
x = 36
Step-by-step explanation:
BD is a diameter.
<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.
m<BCD = x + 54 = 90
x + 54 = 90
x = 36
a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent
Answers
Answer:
$6,000
Step-by-step explanation:
If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.
Answer:
$6,000 on rent
Step-by-step explanation:
Find her weekly salary by dividing 2500 by 0.25
2500/0.25
= 10,000
Now, find how much she spent on rent by multiplying 10,000 by 3/5
10,000(3/5)
= 6,000
So, she spent $6,000 on rent
Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)
Answers
Answer:
[tex]P(E\ or\ F) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]P(E) = 0.25[/tex]
[tex]P(F) = 0.40[/tex]
[tex]P(E\ and\ F) = 0.05[/tex]
Required
Determine P(E or F)
This is calculated using:
[tex]P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)[/tex]
[tex]P(E\ or\ F) = 0.25 + 0.40 - 0.05[/tex]
[tex]P(E\ or\ F) = 0.60[/tex]
You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you?
Answers
Answer:
Step-by-step explanation:
horizontal distance = 62/tan(51°) ≅ 50.2 m
The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.
It is given that:
You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.
The angle = 51 degrees.
The height of the building = 62 m
Applying the tan ratio
tan51 = height of the building/distance between the building base to a standing point
tan51 = 62/x
x = 50.20 m
Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ6
Please show the work.
1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?
2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Step-by-step explanation:
[tex]1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then
x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Calculate the area of the trapezoid, which is not drawn to scale.
Answers
Answer:
38 in
Step-by-step explanation:
Ok, so the bottom part is a rectangle and the top part is a triangle. We’re gonna split those into two different shapes.
8 * 4 = 32, this is the area of the bottom rectangle.
To get the side length of the top triangle, we have to subtract 8 from 11.
11 - 8 = 3
(3 * 4)/2 = 6, this is the area of the top triangle.
Add the two areas, 32 + 6 = 38
And that’s it, maybe, I think.
I DONT KNOW WHAT IM DOING, PLEASE HELP
Answers
Answer:
you should check out Microsoft Math! It's a free app :)
help teacher graph only
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.
As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.
The y-coordinate is the vertical distance from the x-axis. Positive is up.
Evaluate the expression (14 − 4)2 ÷ 10.
The value of the expression is value of
Answers
Answer:
2
Step-by-step explanation:
PEMDAS says to do the equations in parentheses first
(14-4) = 10
PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case
(10)2 = 20
20 ÷ 10 = 2
2.
What type of a quadrilateral is defined by the vertices (-5, 7), (2,6), (5, -3), (-4, 0)?
a Kite
b Rectangle
C Rhombus
d Parallelogram
Answers
Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answers
Answer:
$2,070 is how much she will use for bills.
what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
Answers
Answer:
1, 3, 9, 27, 81, 243, 729
Step-by-step explanation:
The powers of 3 are:
[tex]3^0 = 1[/tex]
[tex]3^1 = 3[/tex]
[tex]3^2 = 9[/tex]
[tex]3^3 = 27[/tex]
[tex]3^4 = 81[/tex]
[tex]3^5 = 243[/tex]
[tex]3^6 = 729[/tex]
[tex]3^7 = 2187[/tex]
And so on...
So through 1000: 1, 3, 9, 27, 81, 243, 729
What is the measure of the missing angle?
Answers
Answer:
115
Step-by-step explanation:
To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.
Hope this helps!:)
X= 65
65 + x= 180
Answer is 115°
Convert 18 inches to feet using the table.
inches
conversion
feet
14 inches convert to feet
Answers
Answer:
18inches = 1.5 ft.
14inches= 1.16667 ft.
Step-by-step explanation:
1inch = 0.0833 ft.
Answer:
18 inches = 1.5ft
14 inches = 1.16ft
Step-by-step explanation:
First, you need to know how many inches are in a foot. Then you take what you have and divide it by that number. So it would be 18/12 or 14/12 and that would give you your answer
Need help pls!!!!!!!!!!?
Answers
Answer:
2, 4, & 6 = 84 degrees
1, 3, 5 , & 7 = 96 degrees
Step-by-step explanation: