Answers
Answer:
shaded: 45 units²non-shaded: 36 units²total area: 81 units²Step-by-step explanation:
A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.
For a problem like this, working the last question first can make it easier.
TotalThe total area is the area of a square 6+3 = 9 units on a side. Its area is ...
Total area = s² = (9 units)² = 81 units²
__
Non-shadedThe area of each of the four non-shaded triangles is ...
A = 1/2bh = 1/2(6 units)(3 units) = 9 units²
There are 4 triangles with that area that are not shaded, so ...
Non-shaded region = 4 × (9 units²) = 36 units²
__
ShadedThe shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...
Shaded area = Total area - Non-shaded area
Shaded area = 81 units² -36 units² = 45 units²
Related Questions
PLEAASE SOMEONE HELP ME IM SO STUCK
finish the table using the equation y= x/2
Answers
Help me do this question :)
Answers
Answer:
[tex]y = \frac{1}{8}x -7[/tex]
Step-by-step explanation:
Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]Find the slope using (8, -6) and (-8, -8):
[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]
[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]
Now, we use either of our points (8, -6) OR (-8, -8) to find b.
I will be using (8, -6):
[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]
[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]
Check your answer manually: (-8, -8)
[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
ASAPPPPPPPPPPPP!!!!!!
Answers
Answer:
angle C measures 31 degrees.
Step-by-step explanation:
because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31
Answer:
31
Step-by-step explanation:
complementary angles equal 90
90-59=31
A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answers
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
Multicultural Studies!
HELP PLEASE
Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism
Answers
Answer:
It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).
find the value of x
Answers
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answers
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
the diameter of a circle is 13.8cm. Find the length of its radius
Answers
Hello!
R = D/2
R= 13,8/2 => 6,9cm
The length of the circle's radius is 6.9 cm.
The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.
Given: Diameter (d) = 13.8 cm
Length of radius (r) = d / 2
r = 13.8 cm / 2
r = 6.9 cm
The length of the circle's radius is 6.9 cm.
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10788 divided by 31 what it the answer
Answers
Answer:
348
Step-by-step explanation:
hope this helps
How many words have i written
Answers
Answer:
6
Step-by-step explanation:
change 1.77 tones to kilograms
Answers
Answer:
1770
Step-by-step explanation:
multiply the mass value by 1000
that is the easy way
Jaden is looking up at the top of a 56 Foot
rock climbing wall
. If Jaden is standing 15 feet
from the base of the wall,
what is the angle
of elevation from Jaden to the top of the wall?
Answers
noooooooooooooooooooolo
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answers
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
How much would you have after 4 years if you invested $1250 with a quarterly compounding interest rate of 5%?
Answers
Using compound interest, it is found that you would have $1524.86.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]
Tou would have $1524.86.
More can be learned about compound interest at https://brainly.com/question/25781328
which is larger 0.849 or 1.08
Answers
Answer:
the answer to this question is 1.08
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answers
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K
Answers
Answer:
if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree
The bearing of a point L from a point K is 264 degrees.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The bearing of a point K from a point L is 084 degrees.
Now,
Since, The bearing of a point K from a point L is 084 degrees.
Hence, The bearing of a point L from a point K = 180° + 84°
= 264°
Thus, The bearing of a point L from a point K is 264 degrees.
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A bottle is launched from a bottle launcher. The height of the bottle is modeled by the equation h(t) = –16t2 + 78t + 10. How long does it take the bottle to reach the ground?
A.
10 seconds
B.
5 seconds
C.
4.7 seconds
D.
1.1 seconds
Answers
Answer:
C: 4.7
Step-by-step explanation:
Axis of symmetry: -b/2a
a=-16
b=78
-78/2(2(-16))= 4.875 seconds in the air.
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answers
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
A (2, 2)
b (0,3)
c (2, 4)
rhombus abcd has the coordinates listed. find the coordinates of point d.
es )
a)
)
(4.3)
b)
(3,4)
c)
(3.3)
d)
(4.4)
Answers
Answer:
I think its 3,4 maybe
Step-by-step explanation:
try it out but I'm not sure
A and b are supplementary angles. angle a measures 67° what is the measure of angle b
Answers
Answer:
113°
Step-by-step explanation:
because supplementary angles add up to 180°
thus if a is 67° then we subtract 67° from 180° and b will be 113°
Can you help me solve for #1 please?
Answers
Answer:
x = 15
It is a Pythagorean triple.
Step-by-step explanation:
1.
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
x = 15
The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.
Wendell wants to make a wooden lid for a decorative box. The lid needs to be 612inches wide and 812inches long with sides 2 inches deep. Part A Part B Wendell has a square piece of wood that has a side length of 12 inches. Based on your answer to Part A, does Wendell have enough wood to make the lid? Explain. Wendell has enough wood to make the lid because the surface area of his piece of wood is larger than the surface area of the wood needed. Wendell does not have enough wood to make the lid because the longest piece needed for the lid is longer than the side of his piece of wood. Wendell has enough wood to make the lid because each dimension of the box is less than the side length of his piece of wood. Wendell does not have enough wood to make the lid because the surface area of his piece of wood is smaller than the surface area of the wood needed
Answers
Answer:
Step-by-step explanation:
A
use the muliplier method to increase 88 pound by 14% show your working
Answers
Answer:
100.32
Step-by-step explanation:
Since the question is asking to INCREASE, you want to multiply 88 by 1.14
This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)
Whenever you want to increase by a percent, you add 100% to the number.
So:
88 * 1.14 =
100.32
Six coins are tossed simultaneously what is the probability of getting exactly 4 heads
Answers
The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
To know more about probability click the link given below.
https://brainly.com/question/11234923
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anyone know the answer to this
Answers
Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]
Step-by-step explanation:
The first option is not because the numerator and denominator are flipped.
The second option is not because this one is positive while the one given is negative.
The third option is equivalent.
The fourth option is equivalent.
The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.
Answer:
[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)
Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.
What do I have to major in to become an astronomer and approximately how long would I have to stay in college?
Answers
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answers
Answer:
c
Step-by-step explanation:
She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.
Answers
https://www.perfection-events.com/content/back-basics-coffee-essentials
Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.
What is the area of the city block?The area of the city block is calculated from the product of the dimensions provided:
The city block is in form of a square, hence it's area = side × side
Dimension of city block = 300 feet by 300 feet.
Area of city block = 90000 square feet
Half of area of city block = 45000 square feet
1 gallon covers 13.8 square feet
400 gallons will cover = 400 × 13.8 = 5520 square feet
The area 400 gallons of coffee will cover is less than 45000 square feet.
Therefore, the news caster's claim is wrong.
Learn more about area at: https://brainly.com/question/3948796
20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?
Answers
Answer:
114
Step-by-step explanation:
You first have to do L x W x H
which will be 9.5 x 4 x 3
that gives you 114
which is the answer 114!!