Answers
Answer:
[tex]31.73\ in^2[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the triangle and the area of the inscribed circle. Then subtract the area of the inscribed circle from the area of the triangle.
2. Find the area of the triangle,
The area of the triangle can be found using the following formula,
[tex]A_t=\frac{b*h}{2}[/tex]
Where (b) represents the base of the triangle, and (h) represents the height.
Substitute in the given values and solve,
[tex]A_t=\frac{b*h}{2}\\\\A_t=\frac{12*10}{2}\\\\A_t=\frac{120}{2}\\\\A_t=60[/tex]
3. Find the area of the inscribed circle,
The formula to find the area of a circle is the following,
[tex]A_c=(pi)r^2[/tex]
Where (pi) represents the numerical value (3.1415...) and (r) represents the radius of the circle. By its definition, the radius of a circle is always half of the diameter, thus the radius of the given circle is (3).
Substitute in the given values and solve,
[tex]A_c=(pi)r^2\\\\A_c=(pi)(3)^2\\\\A_c=(pi)9\\\\A_c=28.26[/tex]
4. Find the area of the shaded region,
To accomplish this task, subtract the area of the circle from the area of the triangle,
[tex]A_t-A_c=A_s[/tex]
[tex]60-28.26=A_s[/tex]
[tex]31.73=A_s[/tex]
Related Questions
Maxwell invested a total of $100,000. He invested his money in three different accounts. He invested $35,000 at 10% annual interest rate, $42,000 at 8% annual rate, and the remainder at 14% interest rate. How much interest did Maxwell receive in one year?
Answers
Step-by-step explanation:
Sure! Here's the step-by-step calculation:
1. Calculate the interest earned on the first investment:
$35,000 * 10% = $3,500
2. Calculate the interest earned on the second investment:
$42,000 * 8% = $3,360
3. Calculate the amount invested in the third account:
Total investment - (First investment + Second investment)
$100,000 - ($35,000 + $42,000) = $23,000
4. Calculate the interest earned on the third investment:
$23,000 * 14% = $3,220
5. Add up the interest earned from all three investments:
$3,500 + $3,360 + $3,220 = $10,080
Therefore, Maxwell received $10,080 in interest in one year.
Please help me on this I do not understand
Answers
Explain two different ways to show the possible choices for a car with 6 cylinders or 4 cylinders and with the colors red, blue, green, or white.
Answers
Answer:
Step-by-step explanation:
khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/tree-diagram-to-count-outcomes
Paulo has a receipt from a restaurant. The total amount is blurred, but he knows he left a $4.25 tip, which was 20% of the cost of the meal. How much did his meal cost? How much did he spend in total?
No random answers pls
Answers
The total overall was $25.5
1. $21.25
2. $25.5
Answer:
21.25 and a total of 25.50
Step-by-step explanation:
multiply 4.25 by 5 to get the meal cost and add the 4.25 for the tip
PLS HELP! (Picture included)
A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
cm²
Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 2 centimeters, and the right edge is labeled 4 centimeters. The height of the pyramid is labeled 8 centimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 1 centimeter, and the right side is labeled 2 centimeters.
Answers
Answer:
The area of the cross section is 2 cm^2.
Step-by-step explanation:
If I am understanding your problem correctly, we are just looking for the area of the grey rectangle, which is the cross-section.
The length and width of this gray rectangle are already given to us. They are 1 and 2. Just multiply them to get the area.
1 x 2 = 2 cm^2
can you do this one pls
Answers
Answer:
it is 3.00
Step-by-step explanation:
as you can see first we define the variables
1. the y axis(vertical) represents the cost of peaches while the x axis (the bottom one) represents the number of pounds
2. then we find a place where the line crosses the grid but exactly on the corner of the box
3. when we have found our point which is (2,6) it means that every 2 pounds of peaches is 6 dollars
4. divide 6/2 and you get 3 dollars!
The final bill for dinner, including tip, was $172.50. If the diners tipped 15%, what was the bill before the tip? Write just the value that represents your answer.
Answers
Answer: The bill was $150 without tip and 172.50 with tip
Step-by-step explanation:
Moira mailed two birthday presents in a box weighing 1/4 pound. One present weighed 1/5 pound. The other present weighed 1/2 pound. what was the total weight of the box and presents?
Answers
Answer:
19/20LBS
Step-by-step explanation:
Five friends equally share 20 strawberries. How many strawberries does each friend get
Answers
20 gets divided by 5 because there are 5 friends.
20 divided by 5 is equal to 4
Find the value of k. Give your answer in degrees.
Answers
Answer is 25 degrees.
Answer:
k=12
Step-by-step explanation:
Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.
2 sides are congruent, leaving bottom left corner angle also 84 degrees.
Write an equation to solve for k:
84+84+k=180
simplify
168+k=180
subtract 168 from both sides
k=12
Hope this helps! :)
Gallon
3
2
1
OC
2
5
6
2
8
10
Minutes
The graph represents the gallons of water (/) per minute (x) dispensed by a shower head. Which statements are correct?
A)
Point (0,0) represents the unit rate,
8)
Point (5, 1) represents the unit rate,
Point (1,5) represents the unit rate.
D)
7.5 gallons of water are used in 1.5 minutes,
Answers
Answer:
I'm gonna base this off of gallon being y and minutes x
Step-by-step explanation:
it dosnt say it starts with any water in it and I have no numbers to base this so I'm gonna say that it passes through the origin and unit rate depends on how many gallons a minute just take 2 minutes and 1 gallon right well that would be .5 for unit rate hope this helps you
grades on a science test are shown in the box plot below.
Find the correct data that the box plot represents.
A) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
B) 55, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
C) 78, 81, 45, 75, 76, 91, 100, 63, 80, 87, 91, 95
D) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 110
Answers
Answer:
d
Step-by-step explanation:
Kay is using cone-shaped party hats as popcorn holders. The party hats have a diameter of 10 inches and a height of 9 inches. How many cubic inches of popcorn will they hold? Use 3.14 for pi. Round your answer to the nearest Cubic inch.
Answers
File attached Please help! Show work
This is angles that share a vertex!
Answers
Answer:
Step-by-step explanation:
Let me look it up 8
which is equivalent to da ratio of 225:50
a. 4:1
b 9:200
c 175:1
d 9/2
e 2/9
Answers
Hope this helps
Answer:
9/2
Step-by-step explanation:
IF IT IS GOOD THEN I WILL GIVE BRAINLIEST!!!
Answers
Answer:i dont know. Maybe try khan academy? Good lucK!:)
Step-by-step explanation:
I need help with all of It pls
Answers
Answer:
can you retake it
the ans is the 3 one
Step-by-step explanation:
Eve wants to buy a balance beam. The original price is $388. How much will Eve pay if she buys it during the sale? It was on sale for 75%!
Answers
Answer:
Eve will pay $97 if she buys it during the sale.
Step-by-step explanation:
price during sale = original price - (original price * discount percentage)
disc. % = 75%
75% = 0.75
pr. = 388 - (388 * 0.75)
pr. = $97
Answer:
97$
Step-by-step explanation:
Last question of the day hopefully : )
Answers
Answer:
E < F < G
Step-by-step explanation:
hope this helps
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: [tex]5c-2=9[/tex]
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
[tex]5c-2=9[/tex]
Hello please help me with this ASAP! :)
Ignore the chosen answer lol
Answers
Answer:
2/12
Step-by-step explanation:
Because there are 6 tile total but he wants two put 2 numbers out of the bag twice..... you get the 12 because he pulls a number out twice and since he has 6 and then does it again it adds to 12 so the answer would be 2/12
in his first four years of coaching football, Coach Delgato's team won 5 games the first year, 10 games the second year, 8 games the third year, and 7 games the fourth year. How many games does the team need to win the fifth year to have an average of 8 wins per year?
Answers
The team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To find out how many games the team needs to win in the fifth year to have an average of 8 wins per year over the five-year period, we can use the following equation:
(5 + 10 + 8 + 7 + x) / 5 = 8
Here, x represents the number of games the team needs to win in the fifth year.
To solve for x, we can simplify the equation:
(30 + x) / 5 = 8
Now, we can cross-multiply:
30 + x = 40
Subtracting 30 from both sides of the equation, we get:
x = 10
Therefore, the team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To learn more about finding averages,
https://brainly.com/question/130657
https://brainly.com/question/28798526
The average surface temperature of a red giant star is much cooler than that of a white dwarf star. Suppose a white dwarf has a surface temperature of 1.2 x 10*4 Kelvin (abbreviated K), which is 4 times the temperature of a red giant star. WHat is the surface temperature of the red giant star?
Answers
Answer: 3000 Kelvin
Step-by-step explanation
Let the surface temperature of the red giant star = x
Surface temperature of a white dwarf star = 4x
4x = 1.2 × 10^4 K
= 1.2 × 10,000 K
= 12,000 K
4x = 12,000 K
x = 12000 ÷ 4
= 3,000 K
Answer:
soorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry
Step-by-step explanation:
Five friends equally share 20 strawberries. How many strawberries does each friend get
Answers
Answer:
each will get 4 strawberries
Step-by-step explain:
20÷5=4
Use the picture were it says a, b, c, d those are the steps
Answers
Answer:
c
Step-by-step explanation:
Please helppppp ASAP
Answers
Answer:
for every 1 packet you get 10 plants
for every 1 pound there are 5 cups
Step-by-step explanation:
For 4 pounds of sugar you get 20 cups
(CORRECT GETS BRAINLIEST) From the information in the graph, what is the mode number of books the girls read? A.3 B.4 C.5 D.6
Answers
The mode number of books the girls read is 5.
What is the mode?The mode is a number which appears most often in a set of numbers and in a data set.
Given the question above, we need to find the mode number of books the girls read.
Since 5 girls read the books, we can conclude that the mode is 5.
Thus. the mode number of books the girls read is 5.
Learn more about the mode at:
https://brainly.com/question/30093741
PLEASE PLEASE HELP (DUE ASAP)! I was struggling a lot with this and I was hoping for an accurate answer! Name the correct angle using the given diagram
Answers
Answer:
Alright Ima jsut say common phrases and do em at the end
Veritcal angles:
Well these angles are equal and always across form each other. Too determine if its a vertical angle, if you see an “x” Like shape, you can draw a maximum of two lines, one horizontal, one vertical. The number those lines tough are vertical the fore the SAME.
Complementary angles:
These are 2 or more angles that add up to 90 degrees. You can have like 20 different angles with different numbers, as long as they add up to 90 degrees. 90 degrees is a right angle so no matter what, it has to equal 90 degrees from all angles.
Supplementary angles:
These are 2 or more angles that add up to 180 degrees or a straight line more common. As long as all the angles add up to 180, its supplementary.
Adjacent angles:
These are angle show lie next to each other. They don’t have anything special, their just next to each other. Ima use an example form the graph. Take for example the angle RNX. XNE is adjacent, its lies right next to it. Another Example could be KND. DNE is adjacent, right next to it.
1) ANR
2) KNE
3) KND
4) RNX
PLZZZ help with this
Answers
Answer:
I D K A and C but B is 776 and 29 D is 101 and 8 I hope i helped
Step-by-step explanation:
(b) 5x^2+1
5(5)^2+1
25^2+1
775+1
776
x^2+4
5^2+4
25+4 29
(d) 5x^2+1
5(2)^2+1
10^2+1
100+1
101
x^2+4
2^2+4
4+4
8
Answer these two questions pls (ill give u brainly)
Answers
Answer:
1a)81 b)54 c)27 d)0
Step-by-step explanation:
for number one the answer is 27 x what is given
Answer:
a) 8; b) 12; c) 6; d) 130.3 cmStep-by-step explanation:
You want the number of small cubes painted on 3, 2, 1, and 0 faces if the outside surface of a cube comprised of 27 small cubes is painted. You also want the height of 200 L of water in a tank of 50 cm radius with a 20 cm radius hole in the middle.
1. CubesThe number of cubes painted on 3 faces is the number of corner cubes: 8.
The number of cubes painted on 2 faces is the number of center-edge cubes, 12.
The number of cubes painted on one face is the number of center-face cubes, 6.
The number of cubes with no painted faces is the number of cubes buried inside, 1.
The painting is ...
3 faces: 82 faces: 121 face: 60 faces: 1The total is 27, as it should be.
2. HeightThe area of the base of the part holding water is ...
π(50² -20²) = π(2500 -400) = 2100π cm²
The height of 200 L of water will be h, where the volume of the figure is ...
V = Bh
V = (2100π cm²)h = 200·1000 cm³
h = 200/(2.1π) cm ≈ 30.3 cm
The height of the water in the tank will be about 30.3 cm.
__
Additional comment
When working with volumes in liters, it is often convenient to work with dimensions in decimeters (dm), where 1 dm = 10 cm. This is because 1 dm³ = 1 L.
Here, the area is π(5² -2²) = 21π dm², so the height is (200 dm³)/(21π dm²) ≈ 3.03 dm = 30.3 cm.
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