Amir is laying stone for his new patio. The diagram of the patio is shown. How many
square feet of stone does Amir need to cover on his patio?
Answers
Answer: 108ft^2
Step-by-step explanation:
First, at the top we have two triangle rectangles.
The area of a triangle rectangle is equal to the product of their cathetus divided by two.
We know that one common cathetus for both triangles is 6ft.
And both share the bottom line that is 14ft long, so half of that corresponds to each triangle.
14ft/2 = 7ft
Then each triangle has a cathetus of 6ft and one of 7ft.
Then the area of each triangle rectangle at the top is:
6ft*7ft/2 = 21ft^2
And we have two of them, so the area for now is:
A1 = 21ft^2 + 21ft^2 = 42ft^2.
Now let's look at the bottom part, we can divide this into two triangle rectangles and one rectangle.
First, bottom side is 8ft, then the difference between this side and the 14ft one is:
14ft - 8ft = 6ft
(We calculate this because we are making a rectangle, then the bottom side length must be equal than the top one).
Then we have a surpass of 6ft, which we will divide into both triangle rectangles (3ft for each, this is one of the cathetus).
And we can see that the cathetus shown of this triangle rectangle is 6ft (this is also the other side of our rectangle)
Then we have two triangles with cathetus 6ft and 3 ft, the area is:
A = 6ft*3ft/2 = 9ft^2
And we have two of them, then A2 = 18ft^2.
And the rectangle is 8ft by 6ft, the area is:
A3 = 8ft*6ft = 48ft^2
Then if we add all the areas that we found, we have:
A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2
Related Questions
B is incorrect so it's not the answer...
Answers
Answer:
x^2 - 4x - 3
Step-by-step explanation:
f(x) = x^2 - 6x
g(x) = -2x + 3
(f - g)(x) is the subtraction of the functions, f(x) - g(x)
You need to write it carefully using parentheses for function g(x).
(f - g)(x) = f(x) - g(x) =
= x^2 - 6x - (-2x + 3)
Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.
= x^2 - 6x + 2x - 3
= x^2 - 4x - 3
17=-5r what is the equation answer
Answers
ln(5)
−πi+ln(17)
1.
Social Security and Medicare taxes are amounts employees can opt in or out of
paying each pay period.
O True
O False
Answers
________________
how do i do this? -X= 8
Answers
Answer:
x = -8
Step-by-step explanation:
-X= 8
Multiply by -1
-X*-1= 8*-1
x = -8
Answer:
x = -8
Step-by-step explanation:
Multiply both side of the equation by -1
-x(-1) = 8(-1)
On the x side, the negatives cancel each other out, making x positive.
On the 8 side, the negative makes the 8 into -8.
x = -8
(essentially, switch the negative/positive signs)
APEX PRE CALC: For a ____ function, the domain is broken into pieces, with a different rule defining the function for each piece.
Answers
Answer:
Piecewise
Step-by-step explanation:
For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.
Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.
Google piecewise functions to see examples.
I hope this helps!
Answer: Piecewise
Step-by-step explanation:
There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.
The perimeter of a triangle is 137 cm. If the three sides of the triangle are (x + 7) cm, (2x – 5) cm, and (3x – 3) cm, what is the length of each side?
Answers
Answer:30,41,66
Step-by-step explanation:
(X+7)+(2x-5)+(3x-3)=137
Solve for x
X=23 cm
Sides are 23+7=30
2*23-5=41
3*23-3=66
if 9/24 = 3/x then x is
Answers
Answer:
8
Step-by-step explanation:
Answer: 3/8
Step-by-step explanation: 9÷3=3 then 24÷3=8
perform the subtraction -2 - 15=
Answers
the answer is -17 :)
A text message plan costs $2 per month plus $0.23 per text. Fine the monthly cost for x text messages
Answers
Answer:
y= 2 + 0.23x
Step-by-step explanation:
Giving the following information:
A text message plan costs $2 per month plus $0.23 per text.
First, we need to structure the total cost formula:
y= total cost
x= number of text messages
y= 2 + 0.23x
Now, we can calculate the total cost for any number of text:
x= 200
y= 2 + 0.23*200
y= $48
If 1/5 of the money in a cash box is 30 dollars, how much money is in the cash box?
Answers
Answer:
Money in the cash box is $150
Step-by-step explanation:
Let
x = money in the cash box
1/5 of the money in a cash box is 30 dollars
1/5 of x = $30
1/5 * x = 30
1/5x = 30
Divide both sides by 1/5
x = 30 ÷ 1/5
= 30 × 5/1
= 150/1
x = $150
Money in the cash box is $150
Regroup to express the number in a different way. \begin{aligned} 73{,}250= &7\text{ ten thousands} +3 \text{ thousands} +2 \text{ hundreds} +5\text{ tens} \\\\ 73{,}250=& 7\text{ ten thousands} +3 \text{ thousands} +1 \text{ hundred} + \bigstar\text{ tens} \end{aligned} 73,250= 73,250= 7 ten thousands+3 thousands+2 hundreds+5 tens 7 ten thousands+3 thousands+1 hundred+★ tens \bigstar=★=\bigstar, equals
Answers
Answer:
i got you wait an sec
Step-by-step explanation:
Please help!!! Fist answer gets brainliest
Answers
What is the value of x?
Answers
Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
In the diagram below of triangle KLM, N is a midpoint of KL and P is a midpoint
of LM. If mZPNL = 2x + 61, and MKN = 97 - 7x, what is the measure of
ZPNL?
Answers
Answer:
Solution:
(1/12)^(-2b) * 12^(-2b+2) = 12
(12^-1)^(-2b) (12)^(-2b+2) = 12
(12^2b)(12)^(-2b+2) = 12
12^(2b-2b+2) = 12
12^2 = 12
144 does not equal 12
No solution.
Step-by-step explanation:
The measure of angle PNL will be equivalent to 69 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.
Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -
2x + 61 = 97 - 7x
9x = 97 - 61
9x = 36
x = 4
So, angle PNL will be equal to -
2 x 4 + 61
69 degrees
Therefore, the measure of angle PNL will be equivalent to 69 degrees.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ2
can someone tell me the difference between sine, cosine, and tangent
Answers
Answer:
sin∅ = opposite over hypotenuse
cos∅ = adjacent over hypotenuse
tan∅ = opposite over adjacent
Step-by-step explanation:
Each of these trigs are used to find angles or lengths of a triangle.
sin∅ would be the y-value of the unit circle.
cos∅ would be the x-value of the unit circle.
Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
O a reflection in the y-axis followed by a translation down by 7 units
O a reflection in the y-axis followed by a translation up by 7 units
O a reflection in the x-axis followed by a translation down by 7 units
O a reflection in the x-axis followed by a translation up by 7 units
Answers
Answer:
a reflection in the y-axis followed by a translation down by 7 units
Step-by-step explanation:
just answered it
The transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Option (C) is correct.
It is required to choose the transformations of the graph.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
We have a given a graph of y = f(-x) – 7.
The transformations in order are the following:
Reflection over the x-axis.
Horizontal translation of 7 units to the left.
Therefore, the transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Learn more about transformations here:
brainly.com/question/17361069
#SPJ2
25 POINTS PLS
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
(Saturn is 1,429,400,028 kilometers away from the sun, and Earth is 149,599,951 kilometers away from the sun)
Answers
A scale drawing of a school bus has a scale of 1 inch to 5 feet. If the length of the school bus is 6 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning. *
Answers
Answer: 30 Feet
Step-by-step explanation:
In Technical drawings scales are used to reduce the size ( scaling ) of drawings so they fit in our drawing sheets. in this example above the drawer stated that 1inch was representing 5feet. what this means is that because we can’t get a drawing sheet which would be 40-100 feet wide we need to rescale our drawing to fit into the available sheet. So by saying 1inch equals 5feet this means the school bus is 30Feet in length.
am i right with the question and if i m can you explain further i think i awser is y=10x
Answers
You are correct.
C is the constant, which is also called the slope.
Slope = change in y over the change in x:
Slope = 160-30 / 16-3 = 130/13 = 10
The equation would be y = 10x
What is the perimeter of the rectangle
Answers
Answer:
6x+6
Step-by-step explanation:
To find the perimeter you are going to add the length of all the edges. 2x+3 + 2x+3+x+x. When you simplify it all you found your answer.
- у
6x - 4у - 2
What is the next step?
Answers
Answer:
To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation:
a to the power of -8
[tex] {a}^{ - 8} [/tex]
Answers
Answer:
a -8 power
Step-by-step explanation:
yes you do that the same way
Betty Baker is making her famous chocolate-chocolate chip cake. She uses 2/3 cup of sugar to make a 1/4 sheet cake. How much sugar would she need to make a full sheet cake?
Answers
Answer: 3 1/3
Step-by-step explanation:
23
Justin started the race at 3:25 p.m. Justin finished the race at 8:50 p.m. How long did it take Justin to run the race?
OA. 5 hours and 25 minutes
B. 5 hours and 35 minutes
OC. 3 hours and 25 minutes
OD. 6 hours and 25 minutes
Answers
Explanation - 8 - 3 = 5 50 - 25 = 25
Answer:
A. 5 hours and 25 minutes
Step-by-step explanation:
8 - 3 = 5
50 - 25 = 25
8:50 pm - 3:25 pm = 5:25
A. 5 hours and 25 minutes
help!!!!
Given JB is the segment bisector of AD, AD = 24 and AZ: 2x + 4 Find the value of x.
(ps the side cut off on the right is just point d)
Answers
Answer:
x = 4
Step-by-step explanation:
Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)
2x + 4 = 12
2x = 8
x = 4
Enter 4 3/8 as a decimal
Answers
Hope this helps
Can an absolute value equal a negative?
Answers
Short answer: no, absolute value is always positive
I hope this helps :)
A cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour? Round your answer to the tenths (first) decimal place.
Answers
Answer:
12.5 miles per hour
Step-by-step explanation:
The speed is the distance divided by time.
3.75 miles/0.3 hours= 12.5 miles per hour
Answer:
12.5 miles per hour
Step-by-step explanation:
To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!
-14 = -8m + 2
please help!
Answers
(-8)-6+(-5) help ima stuck
Answers
Answer: -19
Step-by-step explanation:
-8 -6 = -14
-14 - 5 = -19
Answer:
-19
Step-by-step explanation:
(-8)-6+(-5)
-14+(-5)
-19