Answers
Answer:
102cm²
Step-by-step explanation:
Step 1 find the area of the whole rectangle
Area of a rectangle = width times length
The width of the rectangle is 20 cm and the length is 6cm
So the area = 20 * 6
20 * 6 = 120
Hence the area of the rectangle is 120 square centimeters.
Step 2 Find the area of the square and the triangle
Area of square = s²
where s = side length
The square has a side length of 3 so the area of the square = 3²
3² = 9
Hence, the area of the square is 9cm²
Now to find the area of the triangle
area of a triangle = where b = base length and h = height
We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)
Now to find the base length
We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )
so triangle's base length = 20 - 11 - 3
20 - 11 - 3 = 6
so the base length of the triangle is 6 cm
now we plug in the values of the height and the base length into the formula
Hence the area of the triangle is 9 cm²
Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle
so your answer = 120 - 9 - 9
120 - 9 - 9 = 102
Hence, the area of the shaded region is 102 square centimeters.
Related Questions
What is the voline of the figure below?
6.5A
8 ft
O A 54.43 cu. ft.
OB 108.85 cu. ft.
le
O C 353.77 cu. ft.
OD 1,061.32 cu. ft.
Answers
Answer:
it's 353.77
Step-by-step explanation:
V=πr2h
3=π·6.52·8
3≈353.95277
Jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 270 legs in the house. How many spiders dies jane have if a spiders has 8 legs and a beetle has 6 legs?
Answers
b = number of beetles
r = number of birds
s = number of spiders
"She has an equal number of beetles, birds and spiders". That means b = r = s. They all stand in for the same number, and that number being some positive whole number.
One spider has 8 legs, so s of them have 8s legs. One beetle has 6 legs, so b of them have 6b legs. One bird has 2 legs, so r birds have 2r legs.
In total, all of the animals have 6b+2r+8s legs. We'll replace r and s with b, since earlier we were given that b = r = s.
So we end up with:
6b+2r+8s
6b+2b+8b
(6+2+8)b
16b
The number of legs of all the animals is equal to 16 times the number of beetles. Set this equal to 270 and isolate b
16b = 270
b = 270/16
b = 16.875
We run into a problem. It's not possible to have the variable b equal to a non-whole decimal number like this. It's possible your teacher made a typo somewhere. I would ask them for clarification.
Please help me, no links or random answers, please. When you are writing the answer please number it so I know which answer is for which question.
Answers
Answer:
Step-by-step explanation:
a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.
b. Y intercept for l2 is point (0,2). Answer is 2.
c. l1 gradient is -1/2. Rise/run
So l1 equation is y = -1/2x + 4
l2 gradient is 1.
Equation is y = x + 2
e. x+2= -1/2x + 4
1.5x = 2
x = 1.333...
y = plug into one of the equations value of x. So y = 3.333...
f. 1.33+ 2 = 3.33
-1/2 times 1.33 + 4 = 3.33 (rounded)
There are 3 circles and 6 triangles. What is the simplest ratio of circles to triangles?
Answers
Answer:
1:2
Step-by-step explanation:
..........................
On a certain hot summer day, 606 people used the public swimming pool the daily prices are 1.50 for children and 2.00 for adults the receipts for admission totaled 1042.50 how many children and how many adults swam at the public pool that day
Answers
Answer:
rsgsadfg
Step-by-step explanation:
d dhrtyeyerte
In the equation 2r - 7 = 15, what value of r makes this equation true?
Answers
Answer:
r = 11 makes 2r - 7 = 15 true.
Step-by-step explanation:
2r - 7 = 15
Add 7 to both sides.
2r = 22
Divide by 2.
r = 11
Proof:
2r - 7 = 15
2(11) - 7 = 15
22 - 7 = 15
15 = 15
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2
Answers
Answer:
d. c = 100; (x – 10)²
Step-by-step explanation:
Note that (x+a)²=x²+2ax+a².
In our case, 2a=-20, so 'a' must be -10.
Since c=a², and a=-10, c=(-10²)=100.
Since a=-10, the perfect square is (x – 10)²
Please guys help me please
Answers
Answer:
your answer is c. yes
Step-by-step explanation:
hope it helps you
Graph the inequality. 3x+4y>20
Answers
Answer:
y=-3/4x+5
Step-by-step explanation:
3x+4y>20
4y>-3x+20
y>-3/4x+5
Select the correct answer. The Red Sea is widening at a rate of 1.25 centimeters per year. How many years will it take to widen another 812.5 centimeters? A. 600 B. 650 C. 750 D. 800 E. 812
Answers
Answer:
650
Step-by-step explanation:
Answer:
650
Step-by-step explanation:
The function f(x) = -2x2 + 10x models the height above the ground, in
cm, of a jumping frog where x is the horizontal distance, in cm, the frog
traveled during the jump. What was the horizontal distance, in cm, that
the frog traveled during its jump?pls explain how u got the answer
Answers
Answer: I think its 1
Step-by-step explanation:
Answer this for 10 points
You will be reported if you say the wrong answer
Answers
Answer:
the 3rd one or the first one you chooses between them to
Step-by-step explanation:
A tower shaped like a cylinder.
What solid figure does the tower shown most resemble?
cone
cylinder
prism
pyramid
Answers
Answer:
cylinder
Step-by-step explanation:
I will give brainlist to who can answer these 4 questions correctly.
Answers
For 11 :
Height of the triangle is 7.2 in Area is 30.2 in .Now , We'll find the Base :
Area of Triangle = 1/2 × b × h :
30.2 = 1/2 × b × 7.2
30.2 = 3.6 × b
30.2 / 3.6 = b
8.3 in = b
Now , we can say that the base is 8.3 in .
For 12 :
Area of Triangle = 1/2 × b × h :
25.5 = 1/2 × 11.1 × h
25.5 = 5.5 × h
25.5 / 5.5 = h
4.6 cm = h
Now , we can say that the height is 4.6 cm .
Which expression is equivalent to -21 + 28x?
Answers
-7(3-4x)
Simon bought of a pound of tuna salad for sandwiches. Which fraction is
equivalent to 6/8
A.2/4
B.1/2
C.2/3
D. 12/36
Answers
The ratio of the length of the toucan’s bill to the length of its body is 1 inch to 3.5 inches. If the bill is 7 inches, how long is the body?
Answers
Answer:
24.5
Step-by-step explanation:
7/1 = 7
3.5 x 7 = 24.5
If i'm wrong, I can do it again.
Anne had seven times as many stickers as Jasminka. Anne then lost 13 stickers at school. If x represents the number of stickers that Jasminka has, which expression below represents the number of stickers Anne has left?
A. 7(x - 13)
B. 7x - (x - 13)
C. 7x - 13
D. (7x + 13) - x
Answers
Which of the following is the total distance, in miles, that Howard runs everyday?
Answers
Answer:
a
Step-by-step explanation:
Please help me with questions!
Answers
Answer:
[tex]3)\ x = 8[/tex]
[tex]4)\ x = 12[/tex]
Step-by-step explanation:
Given
The similar triangles
Required
Solve for x
TUV to TLM implies that, the corresponding sides are:
[tex]TU \to TL[/tex]
[tex]TV \to TM[/tex]
[tex]UV \to LM[/tex]
To solve for x, we use the following equivalent ratios
[tex]TV : TM =TU:TL[/tex]
This gives:
[tex]24 : x + 8=36 : 24[/tex]
Express as fraction
[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]
Cross Multiply
[tex]36(x + 8) =576[/tex]
Divide both sides by 36
[tex]x + 8 =16[/tex]
Subtract 8 from both sides
[tex]x = 8[/tex]
FGH to WVU implies that, the corresponding sides are:
[tex]FG \to WV[/tex]
[tex]FH \to WU[/tex]
[tex]GH \to VU[/tex]
To solve for x, we use the following equivalent ratios
[tex]FH : WU =FG:WV[/tex]
This gives:
[tex]x + 3 : 5 = 27 : 9[/tex]
Express as fraction
[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]
[tex]\frac{x + 3 }{ 5 }= 3[/tex]
Cross Multiply
[tex]x + 3 = 3 * 5[/tex]
[tex]x + 3 = 15[/tex]
Subtract 3 from both sides
[tex]x = 12[/tex]
can someone help me answer this please?
Answers
Answer:
300km
[tex]80km \times 3.75hrs = 300km[/tex]
300km
80km \times 3.75hrs = 300km80km×3.75hrs=300km
What’s the answer??
15 points
Answers
Answe
5
Step-by-step explanation:
Barak asked 50 students which type of flower they liked best. The results are displayed in the pie chart. If Barak asked 200 students which flower they liked best, how many students would you predict would choose tulips?
A. 15
B. 30
C. 60
D. 67
Answers
Answer:
C. 60 among 200 students would like Tulip (Assuming pie chart - 15 among 50 students like Tulip)
Step-by-step explanation:
Percent students liking tulip = (Tulip liking students / Total students) x 100
= (15 / 50) x 100 = 30%
Expected students to like Tulip among 200 students = 30% of 200
( 30 / 100 ) x 200
= 60 students
The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.
Required:
At the 0.10 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?
Answers
Answer:
The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average
Step-by-step explanation:
The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.
At the null hypothesis, we test that the mean is 69, that is:
[tex]H_0: \mu = 69[/tex]
At the alternate hypothesis, we test that the mean is less than 69, that is:
[tex]H_a: \mu < 69[/tex]
The test statistic is:
As we have the standard deviation for the sample, we use the t-statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
69 is tested at the null hypothesis:
This means that [tex]\mu = 69[/tex]
Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.
This means that [tex]n = 36, X = 64, s = 8.8[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}[/tex]
[tex]t = -3.41[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.
With calculator help, the pvalue is 0.0083.
The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average
Which statements can be used to compare the characteristics of the functions? Select three options.
Answers
Answer:
Option B and D
Step-by-step explanation:
The complete question is attached
Solution
All f(x) values are not negative hence, option A is incorrect
All g(x) values are the greatest among the three f(x), g(x) and h (x), hence option B is correct
The range of all three functions is different. Hence, option C is incorrect
All h (x) values are negative. Hence, Option D is correct
Write an algebraic expression for the situation.
3.2 less than a number m
An algebraic expression for the situation is _
Answers
Answer:
m - 3.2
Step-by-step explanation:
Find the slope (m) and y-intercept (b) of each line.
Answers
Answer:
y-int:(0,-2)
slope: 5/2
Step-by-step explanation:
slope is rise over run, so you just need to find 2 points (0,-2) and (2,3) and calculate (3-(-2))/(2-0) and get 5/2. y intercept is just the point located at X=0
Answer:
The y-intercept is (0, -2) and the slope is 5/2
Step-by-step explanation:
A simple index of three stocks have opening values on day 1 and day 8 as
shown in the table below.
Day 1
No. shares
Price per
Day 8
No. shares Price per
share
8000
$3.90
5000
$2.50
2000
$6.10
Stock ABC
Stock XYZ
Stock QRS
share
$4.25
$2.90
$6.40
8000
5000
2000
What is the rate of change of this simple index over one week? Round your
answer to the nearest tenth.
A. -8.4%
OB. 7.7%
Ο Ο Ο Ο
C.-7.7%
D. 8.4%
Answers
Complete the following equation using <,>, or = 7___24/4
Answers
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
Which letters have rational symmetry?
20 points!!!!!
Answers
Answer:
H, N, O, S, X, and Z have rotational symmetry.
Step-by-step explanation: