9514 1404 393
Answer:
the difference of 2 or 3 rectangles
Step-by-step explanation:
In every case, the "shaded" area can be computed by finding the area of a "bounding" rectangle, and subtracting the areas of the rectangular cutouts that give the figure its shape.
(a) The cutout is the white space at upper right. (Insufficient dimensions are given.)
(b) The cutout is the white space at lower left. The bounding rectangle is 8×7, and the cutout is 4×3.
(c) The cutout is the rectangle in the middle. The bounding rectangle is 13×7, and the cutout is 4×1.
(d) The cutouts are the rectangles on either side. They could be considered as a single unit. The bounding rectangle is 20×25; the cutouts have a total width of 16 and a height of 20, so total 16×20.
(e) Similar to (d), the cutouts are the white spaces on either side. The bounding rectangle is 14×12. The cutouts total 12 in width and 3 in height, so total 12×3.
__
You will note in (d) and (e) that the dimensions of the cutouts have something in common with the dimensions of the bounding rectangle. This means the problem can be simplified a little bit by factoring out that common factor. In (e), for example, 14×12 -(12×3) = 12(14 -3) = 12×11
A recipe for pizza dough calls for 1 1/2 cups of water and 6 cups of flour. How much water is used per cup of flour?
Answer:
1/4 cups
Step-by-step explanation:
Answer: 0.25
Step-by-step explanation:
Find the value of n.
Answer:
127
Step-by-step explanation:
a man buys eggs at RS 9.60 per dozen and sell 20 eggs for RS 18 what is his gain or loss percen?
Answer:
Percentage Gain = 12.5%
Step-by-step explanation:
Given
[tex]Cost\ Prize = 9.60[/tex] per dozen
[tex]Selling\ Price = 18[/tex] per 20
Required
Determine the percentage gain or loss
First, we have to calculate the unit cost price and the unit selling price.
If a dozen costs 9.60
Then 1 costs
[tex]Cost = 9.60/12[/tex]
[tex]Cost = 0.80[/tex]
If he sells 20 for 18
Then he sells 1 for:
[tex]Sell = 18/20[/tex]
[tex]Sell = 0.9[/tex]
The percentage change is then calculated as:
[tex]\%Change = \frac{Sell - Cost}{Cost} * 100\%[/tex]
[tex]\%Change = \frac{0.9 - 0.8}{0.8} * 100\%[/tex]
[tex]\%Change = \frac{0.1}{0.8} * 100\%[/tex]
[tex]\%Change = \frac{0.1 * 100\%}{0.8}[/tex]
[tex]\%Change = \frac{10\%}{0.8}[/tex]
[tex]\%Change = 12.5\%[/tex]
Because the percentage change is positive, then he made a gain.
Hence:
Percentage Gain = 12.5%
True or False? Suppose you had a magic bank account in which your balance doubled each day. If you started with just $1, you'd be a millionaire in less than a month.
Answer:
True
Step-by-step explanation:
Yes, you'd be a millionaire in less than a month.
Leo is adding gravel to the edge of the driveway. He orders 6 bags of gravel for $252. How much would it cost if leo orders 8 bags of gravel?
Answer:
no
Step-by-step explanation:
Expand and combine like terms.
(4 + 7a²)2 =
Answer:
Step-by-step explanation:
2(4+7a^2)
=8+14a^2
=7a^2+4
OR if that 2 is an exponent
(4+7a^2)^2
=(4+7a^2)(4+7a^2)
=16+49a^4+28a^2+28a^2
=49a^4+56a^2+16
Need help will mark Brainliest no explanation needed
why is school so hard:/
Answer:
I KNOW RIGHT!!
Step-by-step explanation:
Answer:
in entering school in first you are excited but in every day entering school you feel boring this is why school is hard
Step-by-step explanation:
pick me as the brainliest
pls help no idea how to do this
Vicky jogged 4 1/2 miles in 7/8 hour. What was her average rate of speed in miles per hour?
Answer:
Step-by-step explanation:
Vicky jogged 4 1/2 miles or 9/2 miles or 4.5 miles
7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min
4.5 miles....................52.50 min
? miles.......................60 min
vicky will have a rate of 5.14 miles/hour
Please answer this correctly without making mistakes
Answer: The purple coupon is the best deal.
Explanation: If an apple pie is $12, with the orange coupon, you will only pay $7. On the other hand, with the purple coupon, you will only pay $6.60. So the purple coupon is the best deal.
Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).
Answer:
(x + 7)² + (y - 1)² = 64
Step-by-step explanation:
Use the equation of a circle, (x - h)² + (y - k)² = r²
Plug in the point and center, then solve for r:
(x - h)² + (y - k)² = r²
(-7 + 7)² + (9 - 1)² = r²
0 + 64 = r²
64 = r²
8 = r
Then, plug in the center and r² into the equation:
(x + 7)² + (y - 1)² = 64
So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation
Reduced form of 2ab^2-a^2 b^2/5
Answer:
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]
Step-by-step explanation:
Given the expression
[tex]2ab^2-\frac{a^2b^2}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}[/tex]
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{2ab^2\cdot \:5-a^2b^2}{5}[/tex]
[tex]=\frac{10ab^2-a^2b^2}{5}[/tex]
Thus,
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]
Which solution value satisfies the inequality x – 6 ≥ –7?
Question 18 options:
A)
x = –5
B)
x = 0
C)
x = –2
D)
x = –7
Answer:
B) x = 0
Step-by-step explanation:
To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.
Plug -5 into x
-5 – 6 ≥ –7
Combine like terms
-11 ≥ –7
This is false, -11 is not greater than or equal to -7.
Plug 0 into x
0 – 6 ≥ –7
Combine like terms
– 6 ≥ –7
This is true, -6 is greater than -7.
Plug -2 into x.
-2 – 6 ≥ –7
Combine like terms
-8 ≥ –7
This is false, -8 is not greater than or equal to -7.
Plug -7 into x.
-7 – 6 ≥ –7
Combine like terms
-13 ≥ –7
This is false, -13 is not greater than or equal to -7.
B) x = 0 is the only solution that is true and works, so that is your answer.
Have a lovely rest of your day! :)
Find the equation of a line parallel to y = 12 that contains the point (3, 2).
Answer:
y = 2
Step-by-step explanation:
Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:
y = mx + b
Where...
m: slope
b: y-intercept (the y-value at where the line intercepts the y-axis)
(x, y): any coordinate on the line
This line has a slope of 0 and a y-intercept of 12, therefore its equation is:
y = 0x + 12.
Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:
y = 0x + b
We need to find b, or the y-intercept.
Let's substitute the point given to us into the equation.
Solve for the y-intercepty = 0x + b
2 = 0(3) + b
2 = 0 + b
b = 2
Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.
Draw AABC with vertices at A(1,6), B(1, 1) and C(5, 1). In this triangle, AB2 + BC2 = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E = 90°, and
EF = BC.
Paste a picture of your drawing in the answer box
The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.
A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).
It is common knowledge that a triangle is a type of polygon with three edges and three vertices.
A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.
A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2
Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.
To learn more about triangle, visit:
brainly.com/question/28600396
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lim x→0 √(x²+4)-2/x²
The limit of the given function is 1/2
Limit of a functionGiven the following limit of a function
lim x→0 √(x²+4)-2/x²
Substitute the limit to have:
√(0²+4)-2/0²
√4 - 2/0
2-2/0
0/0 (ind)
Apply the L'hospital rule to have;
lim x→0 d/dx√(x²+4)-2/(d/dx)x²
lim x→0 (x²+4)^-1/2 * 2x/2x
lim x→0 (x²+4x)^-1/2
Substitute
(4)^-1/2
1/2
Hence the limit of the given function is 1/2
Learn more on limit of a function here; https://brainly.com/question/23935467
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Someone help please !!!
Answer:
The answer is M = (C-5)/4
What is 478.9 divided by 2? D:
Answer: 239.45
Your welcome if this was for an assignment.
Please answer this correctly without making mistakes
Dale should use the $15 dollars off coupon to save the most money which costs 47.00.
25% off of 47.00 is 45.49.
$15 off of 47.00 is 32.00.
The $15 off coupon makes the DVD player cost less, so he should use that one.
A 12 foot board rests against the wall. The angle that the board makes with the ground is 60 degrees. How far is the base of the board from the wall?
Answer:
6 foot
Step-by-step explanation:
Since the board is 12foot and the angle makes 60 degrees to the wall, we can assume that it is the 30,60,90 degreees. 30,60,90 degrees triangle makes the side of x, 2x ,and xroot3.
Hence, the board(12foot) is equal to 2x.
x=6
please answer this !!
Answer:
I think these triangles cannot be proven congruent
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.
Answer:
25-1/2=
Step-by-step explanation:
What are the coordinates of point A?
Given m | n, find the value of x and y
Answer:
y = 130
x = 50
Step-by-step explanation:
y = 130 corresponding angles of parallel lines are congruent
x = 50 supplementary angles of a straight line add to 180
Answer:
y=130
x=50
Step-by-step explanation:
hope it helps
Find the area.
6 cm
3 cm
3 cm
square centimeters
Answer:
27 cm²
Step-by-step explanation:
its in the picture idk how to explain
Answer:
A = 13.5 cm²Step-by-step explanation:
use the area of trapezoid:
A = h/2 (b₁ + b₂)
where h = 3 cm
b₁ = 6 cm
b2 = 3 cm
plugin values into the formula:
A = 3/2 (6 + 3)
A = 13.5 cm²
If I have 23 dirty walnuts and divide the by 2 how many dirty walnuts would I have by chance? OMG PLEASE HELP QUESTION ALREADY LATE!!!
Answer:
23/2 equals 11.5
Step-by-step explanation:
Answer:
23 divided by two is 11.5
Step-by-step explanation:
can you please solve 4+3x>24
and thank you :))
Answer:
x>8
Step-by-step explanation:
4+3x>24
-4 -4
3x > 24
/3 /3
x > 8
find an equation for the line that passes through the points (2,-6) and (-4,-4)
Answer:
-1/3 I think
Step-by-step explanation:
use the slope formula
Please help I’m gonna do many questions with the work
Answer:
take another picture
Step-by-step explanation: