12. A logo is designed that has four pink circles within a white square.
The square has side length 16cm.
Find the area of the logo that is white.
Answers
The white area of the square is equal to 55.04cm²
How to calculate the white area of the square?To calculate the white area of the square we must perform the following operations.
Calculate the total area of the squareTo calculate the total area of the square, we multiply the side length by the base.
16cm × 16cm = 256cm²Then we must calculate the area of the pink circles, for this we use the following formula:
A = Π × r²Then we proceed to replace the values of the number pi and the radius:
A = 3.14 × 4²A = 3.14 x 16A = 50.24cm²Now we multiply the area of the circle by four to find the total area occupied by the four circles inside the square.
50.24cm² × 4 = 200.96cm²
Finally we subtract the area of the 4 circles from the total area of the square and the result will be equivalent to the white area of the square.
256cm² - 200.94cm² = 55.04cm²
Note: This question is incomplete because the image is missing. Here is the image.
Learn more about circles in: https://brainly.com/question/11833983
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Answer: 47,673
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Which expression is equivalent to 4(2x +3)?
a.4 + 2x + 4 +3
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In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Someone help ASAP!
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find the value of r ...
which is 19
19 refills
Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.
Someone help please!!
Answers
Answer: (x, y, z) = (-3, 2, 4)
In other words, x = -3, y = 2 and z = 4.
You'll enter the number only into each box.
===============================================================
Explanation:
There are a few routes we can take to solve this. I'll use substitution.
First let's isolate y in the second equation.
2x - y + 3z = 4
2x + 3z = 4+y
4+y = 2x+3z
y = 2x+3z-4
This is then plugged into the first equation
3x+2y+4z = 11
3x+2( y )+4z = 11
3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4
3x+4x+6z-8+4z =11
7x+10z-8 = 11
7x+10z = 11+8
7x+10z = 19 .... we'll call this equation (4) and come back to this later
--------------------------------------
Move onto the third equation (of the original equations given)
Plug in y = 2x+3z-4
5x - 3y + 5z = -1
5x - 3( y ) + 5z = -1
5x - 3( 2x+3z-4 ) + 5z = -1
5x - 6x - 9z + 12 + 5z = -1
-x - 4z + 12 = -1
-x - 4z = -1-12
-x - 4z = -13 ..... let's call this equation (5)
--------------------------------------
To recap, we found equation (4) and equation (5) to be
7x+10z = 19-x - 4z = -13We can then solve for x in equation (5) like so
-x - 4z = -13
-x = -13 + 4z
-x = 4z - 13
x = -(4z - 13)
x = -4z + 13
This is then plugged into equation (4)
7x+10z = 19
7(-4z+13)+10z = 19 .... note how we now have one variable
-28z+91+10z = 19
-18z+91 = 19
-18z = 19-91
-18z = -72
z = -72/(-18)
z = 4
We can use this value of z to find x
x = -4z+13
x = -4(4)+13
x = -16+13
x = -3
Use the values of x and z to find y. We'll revisit the first equation in which we isolated y
y = 2x+3z-4
y = 2(-3)+3(4)-4
y = -6+12-4
y = 6-4
y = 2
So overall, the solution to this system is (x, y, z) = (-3, 2, 4)
-------------------------------
Checking the answer:
We'll replace x,y,z with the values we found.
In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4) turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.
ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.
Triangle a- √3,√4,√5
Triangle b- 3,4,5
triangle c- 2,4,6
Triangle d- √2,√4√6
Answers
Answer:
triangle b and triangle d
Step-by-step explanation:
3^2+4^2=5^2
2+4=6
Answer:
Triangle b- 3,4,5
5²=3²+4²
Triangle d- √2,√4√6
(√6)²=(√2)²+(√4)²
PLEASE HELP ME!!PLEASE HELP ME!!!!!
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Answer:
The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.
Step-by-step explanation:
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answers
Answer:
0, 5.5
Step-by-step explanation:
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PLZ MARK ME AS BRAINLIEST.
Alto and Brian both ordered the same size pizzas and Marco's Pizza;
however, they ordered different toppings. Marco's charges an additional
fee for toppings, but all toppings cost the same. Alto got pepperoni,
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Answers
Answer:
Cost of pizza = 1.25x + 11.99
Step-by-step explanation:
Since Toppings cost the same and the pizza orders are of same size :
Alto ordered for 3 Toppings + pizza = 15.74
Brian ordered for 2 toppings + pizza = 14.49
Hence the cost per topping and pizza could be found :
Cost per topping :
15.74 - 14.49 = 1.25
Hence, slope = 1.25
The intercept, c represents the cost of pizza alone :
Cost of pizza + 2 Toppings = 14.49
Cost per topping = 1.25
Cost of pizza = 14.49 - 2(1.25)
Cost of pizza = 14.49 - 2.50 = 11.99
Expressing in slope - intercept form :
y = mx + c
m = slope ; c = intercept
Cost of pizza = 1.25x + 11.99
PLSSSS HELPPPPP ASAPPPP
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Answer:
b
Step-by-step explanation:
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
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Answer:
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For the second equation the first point will be on (0, -12)
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you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99
Answers
Answer:
theyre the same
Step-by-step explanation:
if we round 2.99 to 3.00 and 4.99 to 5.00, than theyre both $1 per pound
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0.909
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Answer:
0.909
Step-by-step explanation:
Because there are decimals
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Answer:
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Step-by-step explanation:
I think
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Answers
Answer:
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Step-by-step explanation:
Answer:
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step-by-step explanation:
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Answer:
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Step-by-step explanation:
Here, we want to find the approximate solution to the system of linear equations
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work also needs to be shown if possible thank you
Answers
Answer:
x = 3
Step-by-step explanation:
12x = 36
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Answers
Answer:
a = (b+7)/2
Step-by-step explanation:
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A company that makes hair-care products had 5,000 people try a new shampoo. of the 5,000 people, 15 had a mild allergic reaction. What percent of the people had a mild allergic reaction? PLEASE HELP ILL GIVE BRAINLIEST
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Mrs. Lawton has a bank balance of $72 at the start of the month. On the 3rd of the month he withdrew $20. Then on the 8th, he withdrew 5 times the amount he withdrew on the 3rd.
1. What is Mrs. Lawton’s bank balance after the 2 withdrawals?
2. How much does Mrs. Lawton need to deposit into her account to give an exact balance of $200?
Answers
Answer:
1. Answer -48$
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2. 248$
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Step-by-step explanation:
hope this helps lovely
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write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answers
Answer:
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I can not Put Out The Points So Im sorry.
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Angle B will be 23 degrees
bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later
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Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️
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Answers
Answer:
x= 12/11
Step-by-step explanation:
What is the perimeter of the composite figure?
Answers
Answer: 96 cm
Step-by-step explanation:
The perimeter is the combined sum of the sides.
So 18 + 22 + 3 + 8 + 6 + 15 = 72
To find the 2 missing sides we use the information we already have.
On the top, we can see 18 is overall the largest line from the missing side.
So we'll need to subtract something from 18.
15 - 8 = 7 ( Inferencing )
18 - 7 = 11 ( length of the top missing side )
22 - 9 = 13
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Answer: The perimeter is 85 cm
Step-by-step explanation:
To find the perimeter you will need to add the distance around the shape.
But there seem to be one missing side .
To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.
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Hello, I am BrotherEye
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However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040
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Answers
Answer:
Step-by-step explanation:
2x + 4 = 6x + 2
Bringing like terms on one side
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