Determine the area of the composite figure to the nearest whole number.
A)
9 ft²
B 11ft2
C 13 ft2
D 17ft2
Answers
Answer:
C
Step-by-step explanation:
The area of the composite figure to the nearest whole number is 13 ft².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Given:
Radius= 2 feet
As, Area of a single Quadrant = πr²/4
and, For 3 semi circle
= πr²/4 + πr²/4 + πr²/4 or 3 (πr²/4)
= 3 x 3.14 x 2 x 2 /4
= 9.42 ft²
and, Area of Square
= s x s
= 2 x 2
= 4 ft²
So, the Area of Figure = 4 + 9.42 = 13.42 ft²
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Related Questions
Please Help!!!
The Barber family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barber family that for the next six months, Lucky will grow at an average rate of four pounds per month. Currently, Lucky is three months old and weighs five pounds.
Age, in months 3 4 5 6 7 8 9
Weight, in pounds 5
Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months.
Part B: If Lucky continues to grow at the rate of 4 pounds per month beyond the expected six months, how much will Lucky weight by time he is one year old?
Answers
Answer:
Part A
Months, Pounds
3,5
4,9
5,13
6,17
7,21
8,25
9,29
Part B
1 year = 12 months
If we continue the chart it would look like this:
10,33
11,37
12,41
Lucky will weigh 41 pounds by 1 year.
Hope this helps!
Final answer:
Lucky will weigh 41 pounds by the time he is one year old.
Explanation:
To complete the table representing Lucky’s current weight as a function of his age, we'll calculate Lucky's expected weight at each month by using the growth rate of four pounds per month. Starting with Lucky's current weight at three months old, which is five pounds:
Age 4 months: 5 pounds + (1 month * 4 pounds/month) = 9 pounds
Age 5 months: 5 pounds + (2 months * 4 pounds/month) = 13 pounds
Age 6 months: 5 pounds + (3 months * 4 pounds/month) = 17 pounds
Age 7 months: 5 pounds + (4 months * 4 pounds/month) = 21 pounds
Age 8 months: 5 pounds + (5 months * 4 pounds/month) = 25 pounds
Age 9 months: 5 pounds + (6 months * 4 pounds/month) = 29 pounds
Continuing with the growth rate of four pounds per month, by the time Lucky is one year old, which is 12 months, the calculation would be:
Lucky's weight at one year old = initial weight + (growth over months)
12 months old: 5 pounds + (9 months * 4 pounds/month) = 41 pounds.
3x+6y=12
x +5y=10
x = 10 – 5y
3(10 – 5y)+6y=12
30–15y+6y=12
30-9y= 12
-9y=-18
y=2
Joey has to solve the system of equations using substitution. He had completed the work shown. What should be his next step
Answers
. Two pentagons are similar. Their sides are in a ratio of 7:2. If the larger pentagon has a perimeter of 28 in., find the perimeter of the smaller pentagon.
Answers
Answer:
8 in
Step-by-step explanation:
The ratio of sides and perimeter in similar figures are equal.
let x be the perimeter of the smaller figure, then by proportion
[tex]\frac{7}{28}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
7x = 56 ( divide both sides by 7 )
x = 8
The perimeter of the smaller pentagon is 8 in
Given the function g(x) = -x^2+ 2x + 8, determine the average rate of change of
the function over the interval -3 < x < 2.
Answers
Answer:
3
Step-by-step explanation:
The average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 3, 2 ], thus
g(b) = g(2) = - 2² + 2(2) + 8 = - 4 + 4 + 8 = 8
g(a) = g(- 3) = - (- 3)² + 2(- 3) + 8 = - 9 - 6 + 8 = - 7
average rate of change = [tex]\frac{8-(-7)}{2-(-3)}[/tex] = [tex]\frac{15}{5}[/tex] = 3
The constants a,b,c are positive. Solve the inequality for x.
a>-bx+c
Answers
Answer:
x > (c - a)/b
Step-by-step explanation:
a > -bx + c
We need to make x the subject of the inequality so, first remove c from the right hand side of the inequality by adding -c to both sides. So,
a - c > -bx
Now, we need to remove -b from the right hand side. So, we will divide both sides of the inequality with -b. Multiplying the inequality with a negative number will also change the sign of the inequality. So,
-(a-c)/b < x
x > (c - a)/b
Answer:
C on edge
Step-by-step explanation:
What is P()
im so confused
what is P(12)
and how does it = to 1/30
Answers
the point (-3,6) is located in which quadrant
Answers
Answer:
Quadrant 2
Step-by-step explanation:
Here's how you distinguish which points are in which quadrants.
Quadrant 1: (+x, +y)
Quadrant 2: (-x, +y)
Quadrant 3: (-x, -y)
Quadrant 4: (+x, -y)
(-3,6) has a negative x and a positive y. All the points in Quadrant 2 have a negative x and positive y.
Study the example shown below.
Which expression should replace the word "numerator" in the work shown?
2x-8
22 - 7x+10
X-3
? - 7x+ 10
2x-8-(x-3)
x2 - 7x+10
numerator
(x-2)(x-5)
O
x-11
x-5
3x-11
3x-5
Answers
Answer:
The answer is x-5 or "B" on edge
Someone please help, it's important!!
Answers
Step-by-step explanation:
BC is tangent to the circle with center A at point C and AC is radius.
[tex] \therefore AC \perp BC\\
\therefore \angle ACB =90°\\[/tex]
Now by Pythagorean theorem:
[tex] AB^2 = AC^2 + BC^2 \\
\therefore AC^2 = AB^2-BC^2\\
\therefore x^2 = 17^2-14^2\\
\therefore x^2 =289-196\\
\therefore x^2 =93\\
\therefore x =\sqrt{93}\\
\therefore x =9.64365076\\
\huge \purple {\boxed {\therefore x = 9.64\: units}} [/tex]
message me! i have made an edited file of it finished <3
Which set of side lengths forms a right triangle?
2, 3,13
4, 6, 10
9, 12, 18
15, 36, 39
Answers
Explanation: You take a^2+b^2=c^2 and substitute the side lengths and solve until you find one where a^2+b^2 actually equals c^2 and that’s your answer
step by step: use pythagorean theorem: a^2+b^2=c^2
2^2+3^2=13^2
4+9 does not equal 169 so it’s not 2,3,13
4^2+6^2=10^2
16+36 does not equal 100 so it’s not 4,6,10
9^2+12^2=18^2
81+144 does not equal 324
15^2+36^2=39^2
1521=1521 so that’s the answer :)
also 15 36 39 is a pythagorean triple which means it forms a right angle
for desert you can choose apple cherry blueberry or peach pie to eat and milk or juice to drink how many different possibilities of one pie and one beverage are possible
Answers
Answer:
8 possibilities
Step-by-step explanation:
The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.
The beverages we have to choose from are 1)Milk and 2)Juice.
Here are the possibilities:
Apple + Juice
Apple + Milk
Cherry + Juice
Cherry + Milk
Blueberry + Juice
Blueberry + Milk
Peach + Juice
Peach + Milk
So we have a total of 8 possibilities for one pie and one beverage.
Answer:
8 outcomes
Step-by-step explanation:
can 4x^2-12x+9 be factored as (2x-3)(2x-3)
Answers
Answer:
Yes
Can I get brainliest
Answer:
Yes, I believe so.
Step-by-step explanation:
rewrite this fraction as a decimal 15/4
Answers
Answer:
3.75
Step-by-step explanation:
3.75 you couldve used calculator :/
Answer:
3.75.
Step-by-step explanation:
15/4 = 3 with a remainder of 3. (3 3/4)
Then you make that into a decimal...
--> 3/4 is equal to 75 percent.
So 3.75..
The answer the book gave was (1/2, -2)
I was getting close answers as I work it differently but can't seem to work it out to become the answer above...
Answers
Answer:
(x, y) = (1/2, -2)
Step-by-step explanation:
Many people find it convenient to work these problems by eliminating fractions as a first step.
Here, you can do that by multiplying the first equation by 4
4(1/2x +2y) = 4(-15/4)
2x +8y = -15
From here, there are a number of possibilities for arriving at a solution.
__
Multiply the first equation by 2 and you have ...
4x +16y = -30
The second equation says you can replace the first term with -y:
-y +16y = -30
15y = -30
y = -30/15 = -2
Substituting this value into the second equation gives ...
4x = -(-2) = 2
x = 2/4 = 1/2
The solution is (x, y) = (1/2, -2).
__
Alternate solution
You can rearrange the second equation to give an expression for y:
y = -4x
Then, substitute this into the first equation:
(1/2)x +2(-4x) = -15/4
(-15/2)x = -15/4
x = (-15/4)/(-15/2) = 2/4 . . . . . . divide by the coefficient of x
x = 1/2
4(1/2) = -y = 2 . . . . . substitute for x in the second equation
y = -2 . . . . . . . . . . . . multiply by -1
_____
Additional comments on problem solving
I find the key to working troubling problems is to be very meticulous. Make certain you follow the rules of algebra: anything you do to one side of the equation must also be done to the other side. I find it easier to think in those terms when moving stuff around.
Some folks would say, "move this term over there and ...". I like to think of it as "subtract this term from both sides of the equation."
It also helps to be careful when dealing with fractions. Make sure you know how to add, subtract, multiply, and divide fractions. You should be just as able to handle that arithmetic as with integers or decimals. Use a calculator if your skills are shaky.
As you may notice, a graphing calculator can help you verify your answer.
Cesium-137 has a half life of approximately 30 years. How much of a 40 g sample would be left after 90 years?
A. 14.33 g
B. 6.31 g
C. 32.49 g
D. 5 g
E. 26.67 g
Answers
Answer:
5
Step-by-step explanation:
30 years => 20
60 years => 10
90 years => 5
We will be left with 5 g of Cesium-137 after 90 years, given its half-life of 30 years and the initial quantity we have as 40 g.
What do we mean by the half-life of a substance?Many elements tend to decompose over some time. The period over which an element reduces to half of itself in quantity is called the half-life of that substance.
The formula for the quantity of the element at a certain time t can be given as:
[tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
Where,
[tex]N_{t}[/tex] is the quantity of the element at time t,
[tex]N_{0}[/tex] is the initial quantity of the element,
[tex]{t_{1/2}[/tex] is the half-life of the element.
How do we solve the given question?In the question, we are given that an element, Cesium-137 has a half-life of approximately 30 years.
We are asked to find the quantity of this element left after 90 years when we had an initial sample of 40 g.
To solve for the quantity left, we can use the formula for the quantity of the element at a certain time t can be given as:
[tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
Where,
[tex]N_{t}[/tex] is the quantity of the element at time t,
[tex]N_{0}[/tex] is the initial quantity of the element,
[tex]{t_{1/2}[/tex] is the half-life of the element,
by taking t = 90 years, [tex]N_{0}[/tex] = 40 g, [tex]{t_{1/2}[/tex] = 30 years, and [tex]N_{t}[/tex] = ?.
∴ [tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{2} \right )^{\frac{90}{30}}} g[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{2} \right )^{3}} g[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{8} \right ) g[/tex]
or, [tex]N_{t} = 5 g[/tex] .
∴ We will be left with 5 g of Cesium-137 after 90 years, given its half-life of 30 years and the initial quantity we have as 40 g.
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What is the minimum value of the objective function C = 4x + 9y?
Answers
Answer:-24
explain how you know:
Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)
Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)
For maxima or minima, f ‘ (x) = 0
=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3
Differentiating (2), f ‘’ (x) = 72/x^3
When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.
When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.
Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)
Answer:
its 125 on edg2020 ;)
Step-by-step explanation:
PLEASE HELP, DUE TODAY!!! Whoever answers first I will mark as brainliest.
The volume of a large aquarium is 525 yd3. It is 16 2/3 yd wide and 2 4/5 yd high. What is the length of the aquarium?
Answers
Answer:
45/4
Step-by-step explanation:
Volume = h x w x l
First multiply the numbers you have
16 2/3 x 2 4/5= 140/3
Then divide the volume.
525 ÷ 140/3 = 45/4
45/4
Find the total volume of soil in the three planters.Planter A is 14 inches by 3 inches by 4 inches.Planter B is 9 inches by 3 inches by 3 inches.Planter C is 13 inches by 3 inches by 3 inches.
Answers
Answer:
A-168
B-81
C-117
Step-by-step explanation:
you multiply all of the numbers together.
4. You are reading a book that is 268 pages. You have already read 112 pages. You read 39
pages each day. How long will it take you to finish the whole book?
Answers
Answer:
4 days
Step-by-step explanation:
268-112= 156
156 divided by 39 = 4
Answer:
i think it is 4
Step-by-step explanation:
bc you do 268-112=156 then you take 156 and divide it by 39 and you end up getting 4.
Area and Triangles:Question 1
A pennant in the shape of a triangle has a base of 12 inches and a
height of 30 inches. What is the area of the pennant?
Answers
Answer:
A =180 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 12 and the height is 30
A = 1/2 *12*30
A = 1/2 *360
A =180 in^2
40. A car stereo originally cost $268. It is now being sold for 85% of its original price. How much does
the car stereo cost now?
Answers
Answer:
The stereo is now being sold for $227.80.
Step-by-step explanation:
To calculate percentage discounts, multiply the original price (268) by the discount percentage (.85). Make sure to put move the percentage value two places to the right before multiplying, as percentages are percentages of a whole.
268 * .85 = 227.8
The right rectangular prisms are similar. Which statements are correct? Check all that apply. The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2. The surface area changes by a factor of 8. The larger prism has twice the volume of the smaller prism. The area of the rectangular bases changes by a factor of 4. PLEASE HURRRYYYYY!!!!!
Answers
Answer:
- the angles in the smaller prism measure 90 degrees
- the perimeter of the rectangular bases changes by a factor of 2
-the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
I just got it right
Answer:
the angles in the smaller prism measure 90 degrees
the perimeter of the rectangular bases changes by a factor of 2
the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
Mrs. Hendricks used gallons of gas on a business trip. Her averages 25miles per gallon. How may miles did she travel?
Answers
Answer:
625 miles
Step-by-step explanation:
This is because, since each 25 miles takes one gallon 25 gallons would mean you would go 25 times 25 miles which is 625 miles in all.
JUst please help fast because this a quizziz
Answers
Answer:
b
Step-by-step explanation:
use slope intercept form
Answer:
2
Step-by-step explanation:
Since you need it fast, I am not going to explain.
(2, 4) - (6, 12) = (-4, -8)
-8/-4 = 2
15grams of powder to make a 22oz shake.i make skakes for the week and plans to make 198oz. how many grams of protein will I use for the entire week?
Answers
Answer:
135 grams
Step-by-step explanation:
Since there are 15 grams of powder in a 22oz serving, if you divide 198 by 22 you will get 9 total servings. If you multiply 15 by 9 you will get 135 total grams.
A stack of 10 quarters is a cylinder. If the diameter of a single quarter is 2.2 cm and the approximate height is 0.17 cm, what is the surface area of a 10-quarter stack?
Answers
To find the surface area of a 10-quarter stack, calculate the surface area of each quarter and then multiply by the number of quarters.
Explanation:To find the surface area of a 10-quarter stack, we need to calculate the surface area of each quarter and then multiply it by the number of quarters in the stack. The surface area of a quarter can be calculated using the formula for the surface area of a cylinder: SA = 2πr^2 + 2πrh.
Since the diameter of a quarter is 2.2 cm, the radius (r) is half of that, which is 1.1 cm. The approximate height (h) of a quarter is 0.17 cm.
Substituting these values into the formula, we get: SA = 2π(1.1 cm)^2 + 2π(1.1 cm)(0.17 cm). Calculating this gives us the surface area of a single quarter. Then, multiplying it by 10 gives us the surface area of a 10-quarter stack.
What type of decimal is the following number?
0.1313
Answers
Answer:
it is repeating decimal.
Answer: repeating
Step-by-step explanation:
Someone Please help
I’ll give brainliest x
Answers
Answer:
7)
a. a=5
b. b=7
c. y=10
d. z=6
Step-by-step explanation:
hope this helps:)
If the hypotenuse of a 30-60-90 triangle has length 15, then the shorter leg has length
5.5
6.5
7.5
Answers
Step-by-step explanation:
Given : If the hypotenuse of a 30-60-90 triangle has length 15 then the shorter leg has length 5.5 , 6.5 , 7.5.
To find : What is the length of the other leg and hypotenuse ?
Solution :
For a 30-60-90 triangle, sides are in the ratio [tex]1:\sqrt{3}:2[/tex]
where, 1 is the shorter side,
[tex]\sqrt{3}[/tex] the other side
and 2 the hypotenuse.
Short leg = 5.5
Other leg = [tex]5.5\times \sqrt3=5.5\sqrt3[/tex]
Hypotenuse = [tex]5.5\times 2=11[/tex]
Short leg = 6.5
Other leg = [tex]6.5\times \sqrt3=6.5\sqrt3[/tex]
Hypotenuse = [tex]6.5\times 2=13[/tex]
Short leg = 7.5
Other leg = [tex]7.5\times \sqrt3=7.5\sqrt3[/tex]
Hypotenuse = [tex]7.5\times 2=15[/tex]
Final answer:
In a 30-60-90 triangle with a hypotenuse of 15, the shorter leg has a length of 7.5, based on the ratio 1:√3:2.
Explanation:
If the hypotenuse of a 30-60-90 triangle has length 15, then to find the length of the shorter leg, we can use the properties of this special right triangle. In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2. In other words, if the shorter leg is 'x', the longer leg is 'x√3', and the hypotenuse is '2x'.
Since the hypotenuse is 15, we set '2x' equal to 15 and solve for 'x':
2x = 15
x = 15 / 2
x = 7.5
The shorter leg of the triangle has a length of 7.5.
Determine which numbers are solutions for x>7 from the solution set
of { 7,8,9}
Answers
Answer:
8, 9
Step-by-step explanation:
Since x > 7
This means that x cannot equal 7 but must be greater values than 7.
Thus 8 and 9 are solutions