If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches
Answers
Answer:
B
Step-by-step explanation:
=zxu
=4x3
12 square units
(z+v)x (y-u)
(4+4)x (8-3)
=8x5
=40 square units
(z+v)-x
(4+4)-7
8-7
=1 unit
(w+u)-y
(7+3)-8
10-8
2units
=0.5×1×2
= 1 square unit
=12+1+40
=52+1
=53 square units
Answer:
B. 53 square inches
Step-by-step explanation:
The attached figure is drawn to scale, and a grid is provided that makes it easier to see the dimensions of the various parts.
This figure can be easily decomposed into an overall rectangle with cutouts of a trapezoid at the top and a rectangle at the bottom right.
__
The overall rectangle has dimensions 8 units wide and 10 units high.
The trapezoid at the top has bases of 8 units and 7 units, and a height of 2 units.
The rectangle at the bottom right has dimensions of 4 units wide and 3 units high.
The area formulas for a rectangle and trapezoid are ...
A = LW . . . . area of a rectangle with length L, width W
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
__
Then the area of the figure is ...
figure area = overall rectangle - trapezoid - lower right rectangle
= (8 in)(10 in) - 1/2(7 in + 8 in)(2 in) -(4 in)(3 in)
= 80 in² -15 in² -12 in² = 53 in²
The area of the object is 53 square inches.
Related Questions
In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?
Answers
Answer:
r = 200
Step-by-step explanation:
[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²
[tex](\frac{5}{8})[/tex] ×πr² = 250π
[tex](\frac{5}{8})[/tex] ×r² = 250
r² = [tex](\frac{8}{5})[/tex] × 250
r² = 400
r = 200 (r is a length so, it's positive)
Why are fractions 2/4 and 5/10 equivalent
Answers
Answer:
They both equal 20 when you do the butterfly method. They are all factors of 20.
Step-by-step explanation:
2/4 5/10
2x10=20
4x5=20
A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.
Answers
Answer:80
Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80
thanks for the question.the the answer is 0.0625
15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______
Pattern:
Missing Terms:
17-18) 3, 6, 7, 14, 15, _____, ______
Pattern:
Missing Terms:
Answers
Answer:
first pattern: +2, +3 (repeated)
first missing terms: 19, 24
second pattern: *2, +1
second missing terms: 30, 31
Step-by-step explanation:
first pattern:
1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).
2. repeat until to prove the pattern, +2, +3
3. apply pattern to missing term, (16+2=19) and (21+3=24)
second pattern:
1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)
2. find pattern from calculation, *2, +1.
3. apply pattern to missing terms, (15*2=30) and (30+1=31).
hope this helped! ♡
Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
10.50
Step-by-step explanation:Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.
Answers
Answer:
30000 simple interest ,50000 total repayment.
Step-by-step explanation:
sorry iam terrible at explaining,
Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.
Are these ratios equivalent to 2
3
? Explain your reasoning.
Answers
Answer:
yes 6 is the equivalent of 3
Answer: 6 is the equivalent of 3
Step-by-step explanation: if wrong comment n I will fix
A square on the board is chosen at random. Find the probability as a fraction in simplest form
Answers
The probability of selecting a square is the likelihood of the square
The probability that the square selected is a multiples of 3 not less than 10 is 3/20
How to determine the probability?The given parameters are:
Squares = 20
Multiples of 3 not less than 10 = 3
Stripped balloons = 17
The probability that the square selected is a multiples of 3 not less than 10 is calculated as:
P = n(Multiples of 3 not less than 10)/Total
This gives
P = 3/20
Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20
Read more about probability at:
https://brainly.com/question/251701
the inverse of the function f(x)=-x+3
Answers
Answer: [tex]f^{-1}(x)=-x+3[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and replace the original x with y
[tex]f(x)=-x+3\\x=-y+3[/tex]
Now solve for y
[tex]x=-y+3[/tex]
First subtract 3 from both sides
[tex]x-3=-y+3-3\\x-3=-y[/tex]
Now divide both sides by -1 (this will make y positive)
[tex]\frac{x-3}{-1} =\frac{-y}{-1} \\-x+3=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]
Which graph represents the function y-3 =3/2 (x-4)?
Answers
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
find the value of angle a
Answers
Answer:
angle A = 153 degrees
Step-by-step explanation:
solve for the interior missing angle.
so from the interior we know that we have 2 angles
1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees
A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.
What is the initial value?
Answers
Answer: 200
Step-by-step explanation:
The initial value is 200, since this is the population before conservation efforts began.
19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50
Answers
Answer:
i think it's c
Step-by-step explanation:
a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.
Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x
B. F(x) = х/X + 3
O c. F(x) = x-3/x
D. FX) = x/3
Answers
Hope this helped.
The given graph is of the rational number f(x)=1/x(x-3)
What is rational numbers ?All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.
here, we have,
Which function represents the given graph :
The given graph represents the function f(x)=1/x(x-3)
Since the value of x can never be equals to zero in this function as graph is representing.
Hence option (b) f(x)=1/x(x-3) is the correct answer.
Learn more about rational functions at
brainly.com/question/12088221
#SPJ7
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8
Answers
Answer:
Step-by-step explanation:
emma really smells bad do not answer this question
How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?
Answers
Hey there!
Formula:
a = √p(diagonal)^2 + q(diagonal)^2 / 2
a = √p + q / 2
SOLVING FOR CURRENT EQUATION
a = √10^2 + 12^2 / 2
a = √10 * 10 + 12 * 12 / 2
a = √100 + 144 / 2
a = √244 / 2
a = √61
a ≈ 7.81
Thus, your answer is: √61
Or as you put….
5^2 + 6^2 = c^2
5 * 5 + 6 * 6 = c^2
25 + 36 = c^2
√61 or -√61 = c^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit
Answers
Answer:
YES
Step-by-step explanation:
Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)
1+2 >2
2+2>1
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft
Answers
Answer:
96π ft³ or 301.44 ft³
Step-by-step explanation:
Volume = Base Area x Height
V = (πr²)(h)
V = (π)(2²)(24)
V= 96π ft³
help pls
ty in advance
Answers
[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]
The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.
[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.
Here, H is the mid point of the circle .So, Angle IHJ is the central angle.[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]
Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.
Here, In second diagram
FGH and FIH are acting as two semicircles which simulatineously forming one circle.[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
Here,
FG or GH are the minor arc of the given circle.[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
Here,
FHG or GFH is the major arc as it is larger than the semicircle of the given circle .Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars
Answers
Answer:
y = -7.235451 x^2 + 402.5542 x - 2382.736
Which table represents the function y =1/3 x + 4?
Input x 0 -3 -6
Output y 4 3 2
Input x 6 9 12
Output y 6 9 12
Input x 0 3 6
Output y 4 6 8
Input x 3 6 9
Output y 5 7 9
Answers
Answer:
i think that is the second one but im not sure.
find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10
Answers
Answer:
a = 26
Step-by-step explanation:
29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23
135 + a / 7 = 23
135 + a = 161
a = 26
why need a question when its on the picture?
Answers
Answer:
Always true.
Step-by-step explanation:
All rectangles are made up of four right angles, which are always congruent.
find the square root of following by division method
5499025
Answers
Answer:
2345
Step-by-step explanation:
5499025
5 1099805
5 219961
7 31423
7 4489
67 67
67 1
5x5x7x7x67x67
pick one of the doubles
5x7x67
=2345
brainiest please
Does anyone know the answer to these? (forgot to put a screenshot on the last one)
Answers
Answer:
number 1
1 1000 grams
2 2000 grams
5 5000 grams
8 8000 grams
10 10000 grams
Step-by-step explanation:
now 2
1 grams 1000
3 grams 3000
4 grams 4000
6 grams 6000
9 grams 9000
that is all i know please mark me the brainiest
A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14
Answers
Answer:
18.84 inches.
Step-by-step explanation:
Volume = 4/3 π r^3 = 113.04
r^3 = 113.04 / 4/3 * 3.14
r^3 = 27
r = 3 inches,
So the circumference = 2 * 3.14 * 3
= 18.84 inches.
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
Answers
Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)
Like terms are:
21h, -10h, +14h
And
16, -9, +5
So add/ subtract the like terms
21h - 10h + 14h= 25 h
16 - 9 + 5 = 12
You can’t add 25h by 12 so your final answer is
25h+12
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2
Send help haha
Use the drop-down menus to identify the domain and range of each function below.
The drop-down menu has the same options for every one of them.
Please answer correctly ASAP ^
Answers
Answer:
Domain: input values (x-values)
Range: output values (y-values)
Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2
Squaring a number → output is always positive
[tex]a(x)=3|x|[/tex]
Domain = all real numbers
Range = all positive numbers and zero
[tex]b(x)=3x^2[/tex]
Domain = all real numbers
Range = all positive numbers and zero
What is the probability that a student chosen randomly from the class is a male who does not have an A?
Answers
Answer:
6/19
Step-by-step explanation:
2+4+7+6=19
dose not have an a=6
6/19
9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.
Answers
Answer :- 7½ or 8 ( explained below)
Explanation:-
Given :-
9 halves for family6 halves for friendsSo in total :- 15 halves for both of them
It means :- 7½ cupcakes in total u required
if u can buy an half cupcake then u need to buy :- 7½
If u can't but an half cupcake then u need to buy :- 8
Answer:
Step-by-step explanation:
8 for learning games