Naomi used a rectangle, a square, and a right triangle to form the following figure. What is the area of the shaded region of the figure in square centimeters?
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 = [tex]\frac{bh}{2}[/tex] 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
[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]
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 equation of the line that passes through the point (6,6) and has a slope of 5/3??
Answers
Answer:
y = 5/3x - 4
Step-by-step explanation:
(6, 6)
m = 5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 6)
y - 6 = 5/3x - 10
y = 5/3x - 10 + 6
y = 5/3x - 4
Trent attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a diameter of 4 centimeters. What is the magnet's area?
Answers
Answer:
12.6 cm²
Step-by-step explanation:
From the above question, the magnet is circular in shape
The area of a circle is given as:
= πr²
The area of the magnet = π × r²
Diameter = 4cm
r = Diameter/2 = 4cm/2 = 2cm
= π × (2cm)²
= 12.566370614cm²
Approximately = 12.6 cm²
The area of the magnet = 12.6cm²
The difference of two numbers is 4. Their sum is 24.what are the numbers?
Write equation
Answers
Answer:
x = 14 and y = 10
Step-by-step explanation:
TRANSLATING WORDS INTO EQUATIONS:
Let the two numbers be x and y
"The sum of two numbers is 24" translate as x + y = 24
"Their difference is 4" translates as x-y=4
Those two equations make up the system of linear equations
SOLVING BY ELIMINATION:
Adding the two equations, we get
x + y + x - y = 24 + 4
2x = 28
x = 28 / 2
x = 14
substituting that into x + y = 24 we get
14 + y = 24
y = 24 - 14
y = 10
hope it helps :)
What is the ?, help please
Answers
Step-by-step explanation:
According to the base of similarity, then
12÷6=8÷x
12x=48
=4
6+4=
10
PWEASE HELP I DON'T UNDERSTAND THIS
Answers
Answer:1) 76m
2) 239 cm
Step-by-step explanation:
There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is 1
12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answers
Answer:
There are 300 milk chocolates in the bag.
Step-by-step explanation:
Since there is a bag with only milk and dark chocolates, and the probability of randomly choosing a dark chocolate is 1/12, if there are 25 dark chocolates in the bag and each is equally likely to be chosen, to determine how many milk chocolates there must be the following calculation must be performed:
1 = 25
12 = X
12 x 25/1 = X
300/1 = X
300 = X
Therefore, there are 300 milk chocolates in the bag.
(will give brainly) orde the values on the cards below in ascending order
Answers
Answer:
Step-by-step explanation:
Set 1
first of all we have to look at the negative numbers:
-99% = -0,99
-√80 = is almost 9
so :
-9,(9) ; -√80 ; -99%
then the positive numbers:
19% = 0,19
√9 = 3
1/9 = 0,11...
so
1/9 ; 19% ; √9
final answer:
-9,(9) ; -√80 ; -99% ; 1/9 ; 19%, √9
Set 2
descending order = from greatest to least
In this case we have to look at first at positive numbers
2/3 = 0,6
√23 = 4,...
20/3 = 6,...
23% = 0,23
so
20/3 ; √23 ; 2/3 ; 23%
negative numbers
-√34 = -5,...
so :
-4,(3) ; -√34
final answer:
20/3 ; √23 ; 2/3 ; 23% ; -4,(3) ; -√34
For her birthday party, Kelly invited her friends to a nearby roller-skating rink. The area of the rectangular rink is 1,530 ft2, and the length is 51 ft. What is the width of the rink?
Answers
Answer:
30ft
Step-by-step explanation:
1530ft2 divided by 51ft.
Ava's watering can holds 2 liters of
water. She uses 200 milliliters to
water each of her plants. How many
plants can she water if she use the
entire watering can? (uh i’m about to get 0 )
Answers
Answer:
2,000 m (2 Liters) = 100 plants
Step-by-step explanation:
2,000 milliliters make up 2 liters.
200 liters are being poured.
2,000/200 = 10
10 plants are being watered each time.
200 m = 10 plants
400 m = 20 plants
600 m = 30 plants
800 m = 40 plants
1,000 m = 50 plants
1,200 m = 60 plants
1,400 m = 70 plants
1,600 m = 80 plants
1,800 m = 90 plants
2,000 m = 100 plants
Let me know if this helps!
how do I solve this?? number 8
Answers
Answer:
135
Step-by-step explanation:
that line equals 180 degrees so just subtract 45 to get the value of x
Which choice is an irrational number?
A.
4
π
π
B.
√
6
2
C.
√
18
D.
21
.
989
Answers
Answer:
3 one good luck with the question
Answer:
dddddddddddddddddddddddddd
Can someone plz help me I’m really confused on this.
Answers
Answer: x:6
y:7
z:6
Step-by-step explanation:
Answer:
x = 5.25
y = 6
z = 5.25
Step-by-step explanation:
For x and z
x = z
3 x
---- = ----
4 7
Cross multiply: 21 = 4x
21/4 = x
x = 5.25
z = 5.25
For y
3 y
---- = ----
4 8
Cross multiply: 24 = 4y
24/4 = y
y = 6
Help ASAP PLS! 20 Points:) I am reporting any fake responses so please be for real, I appreciate it!
The population of a species of starfish in the Gulf of Mexico is decreasing at an exponential rate, A(t) = A0e(kt) . Five years ago the population was 10,000. The current population is only 2000. When the population is 500, the starfish population cannot recover. When will this event occur?
Show your work and explain the process of solving this problem.
Answers
Explanation:
Jennifer's grandma bought her a $50 savings bond when she was born. When Jennifer is 30 years old, the bond will have earned 110% in interest. How much will the bond be worth when Jennifer is 30 years old?
Answers
Answer:
105$
Step-by-step explanation:
We are told that she starts with 50$
We are also that after 30 years she earns 110% on interest
Given this information we need to find the value of the bond after the 30 years
To do so we take 110% of the initial value (50$) and add that to the initial value
So the answer = 110%(50) + 50
110%*50=55
55+50=105
So in 30 years the bond will be worth 105$
Complete the ratio table.
15
14
42
60
56
75
70
90
Answers
2. How much will a $210 bicycle on sale for 15% off cost?
$195.50
$31.50
$178.50
O $241.50
Answers
Answer:
The answer would be $178.50
Step-by-step explanation:
There are 1,065 students going on a trip. Each bus holds 60 students. How many buses are needed to hold all of the students?
Answers
Complete the table of values for y = -2x + 11
Can you help?
Answers
Answer:
x 0 1 2 3 4
y 11 9 7 5 3
Step-by-step explanation:
basically you just plug in all of the x values shown in the table into the equation, to find the matching y values.
i hope this helps :)
Lisa rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is the probability that she rolls an odd number and flips tails?
A.1/8
B.1/4
C.1/2
D.3/4
Answers
Answer: B. 1/4
Step-by-step explanation: The probability of rolling an odd number is 3/6 since there are 3 odd numbers between 1 and 6 (1, 3, 5). The probability of flipping a coin and getting tails is 1/2 since you can either get heads or tails. With this knowledge, you must multiply these two probabilities to get the probability of getting an odd number AND tails; so, 3/6 x 1/2 = 3/12 = 1/4.
Rewrite 1401/8
in radical form.
Answers
Answer:
We can write
140 / 1 /8
in radical form as:
8 √ 140
Step-by-step explanation:
Help
1: You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly?
2: In a class, 60% of the students are girls. There are 21 girls in the class.
A: How many Students are in the class?
B: How many boys are in the class?
Answers
Answer:
1: 9 questions incorrect and 41 correct
2: There are a total of 35 students. 21 girls and 14 boys.
what is equivalent to 7⁶
Answers
Hope it helps
Brainliest please
The answer is 117,649
Alan has read 20% of his book. He has 64 more pages to finish. How many pages are there in the book?
Answers
Answer:
80 pages
Step-by-step explanation:
We can think of this as 80% of the book is 64 pages
.8x = 64
x=80
Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached. Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2. Maria estimated the number of pounds of newspapers collected by finding One-fifth of 3,600.
Answers
Options:
Who is right, and why?
a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.
c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Answer:
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Step-by-step explanation:
Given
[tex]Goal = 3585[/tex]
[tex]Collected = 21\%[/tex]
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
Required [Missing from the question]
Who is correct and why?
First, we calculate the actual amount collected.
[tex]Actual = Collected * Goal[/tex]
[tex]Actual = 21\% * 3585[/tex]
[tex]Actual = 752.85[/tex]
[tex]Actual = 753[/tex] --- approximate
Next, determine the estimate (round 3585 to 3600 and 21% to 20%)
[tex]Estimate = 20\% * 3600[/tex]
[tex]Estimate = 720[/tex]
Next, calculate Kurt and Maria's estimates
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Kurt = 720[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
[tex]Maria = 720[/tex]
Hence, Kurt and Maria are correct because of option (d)
Answer:
d
Step-by-step explanation:
What is the answer to equation
-3× + 7 =1
Answers
Answer:x=2
Step-by-step explanation:
1 oz = 16 lb
What is 24 ounces converted to pounds?
Write your answer as a fraction in simplest form. 1)
24 ounces is equal to
pounds.
Answers
Answer:
1.5 pounds
Step-by-step explanation:
24-16 is 8, so divide 8 by 16 and you get 1.5
The value of 24 ounces to pounds is 1.5 pounds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 1 oz is equal to 1/16 pound. The value of 24 ounces to 16 pounds will be calculated as,
1 oz = 1/16 pounds
24 oz = 24 / 16
24 oz = 1.5 pounds
Hence, the value of 24 oz is 1.5 pounds.
To know more about an expression follow
https://brainly.com/question/25490005
#SPJ2
The equation 3x – 2y = 18 is in slope intercept
form.
If the y variable was isolated, it would be in
What
form.
(Use all lowercase letters when writing the answers)
Answers
Answer:
Y intercept form
Step-by-step explanation:
Find the radius of a circle with a circumference of 18.84 m. Use 3.14 for .
Answers
Answer:
2.9
Step-by-step explanation:
if you need me to explain just comment!
I hope i was able to help!!!!!
Answer: 3m
Step-by-step explanation:
c = 2[tex]\pi[/tex]r
18.84 = 2 x 3.14r
18.84 = 6.28 r
r = 3
Mhanifa please help im almost done! I will mark brainliest :)
Answers
Answer:
Hello! Your answer is, 1 :A)28 AND 2:D)75 and CD AND 3:B)10 1/2
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Answer:
#5
x/ 12 = 7/3 x = 12*7/3x = 28 feetOption A#6
Consider letter position in names of figures:
A. QR and CD is the correct one#7
x/ 8 = 7/12x = 8*7/12x = 4 2/3One angle marked and one angle congruent as vertical
A. AA postulate; 4 2/3 is the correct option6m - 8 = 1/2(-4m + 16)
Answers
Answer:
m=2
Step-by-step explanation:
6m - 8 = 1/2(-4m + 16)
Distribute
6m -8 = -2m +8
Add 2m to each side
6m-8+2m = -2m +8+2m
8m -8 = 8
Add 8 to each side
8m-8+8 = 8+8
8m = 16
Divide each side by 8
8m/8 = 16/8
m=2