Step 1: Find the area of the rectangle
Area of a rectangle = base x height
Area of the rectangle = 4 x 10 = 40
Step 2: Find the area of the half-circle
Area of a circle = pi x r^2
---In this case, since we only have half of a circle, we will need to divide the area by 2 (or multiply by 1/2).
---We are also only given the diameter here. The radius of a circle is half of its diameter, therefore the radius of this half-circle is 5.
Area of the half-circle = (pi x 5^2) / 2 = (3.14 x 25) / 2 = (78.5) / 2 = 39.25
Rounded area of the half-circle = 39.3
Step 3: Find the area of the figure
Now that we know both parts of the figure, all that's left to do is add them together to find the total area.
40 + 39.3 = 79.3
Answer: 79.3
Hope this helps!
Paula had 1/3 of a yard of material. She needed to make 4 gifts using the material. What fraction of the material will be used for each gift. BRAINLIEST ON THE LINE
1/12 yards taken for each gifts
Explanation:
[tex]\ \sf total \ material \rightarrow \dfrac{1}{3}[/tex]
[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \div 4[/tex]
[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \ * \ \dfrac{1}{4}[/tex]
[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{12}[/tex]
Material per gift:-
1/3/41/3(1/4)1/3(4)1/12ydSai has a garden on the side of his house that will be enclosed with 196 ft. of fencing. The
rectangular plot will be fenced in on all sides except for the side against the house. What
dimensions will maximize the plot of land? What is the maximum area?
PLEASE DO THESE BELOW
-use written and verbal explanination that justifies each step
-Use at least one representation(ex number sentences, diagrams, charts, etc)
Answer:
49 and 98, with an area of 4802
Step-by-step explanation:
So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)
To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98
Note: there's definitely another way to do this problem
Alan is decorating for a party. He wants one color of streamer, one type of flower,
and one color of tablecloth.
● The streamers can be red, blue, or yellow.
The flowers can be tulips, daisies, or roses.
● The color of the tablecloth can be plaid, striped, or solid.
How many possible combinations are there?
Answer:
OK I think that their is 9 options
Step-by-step explanation:
1.(red,tulips,plaid) 2.(red,daisies,striped) 3.(red,roses,solid)
4 .(blue,tulips,plaid) 5.(blue,daisies,striped) 6.(blue, roses,solid) 7.(yellow,tulips,plaid) 8.(yellow, daisies,striped) 9.(yellow, roses, solid)
Hope this somewhat helps :)
Two fifths of the 40 students earned an A, what percent of the students earned an A
Answer:
40%
Step-by-step explanation:
2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)
Therefore 40% of the students earned an A.
Pls help me with this
Answer:
Library A: 1500 books
Library B: 900 books
Library C: 3250 books
Library D: 750 books
Library E: 3000 books
From GREATEST to LEAST
Library C, Library E, Library A, Library B, then Library D
help please i guess?
Answer:
It is the left one.
Step-by-step explanation:
This (<) symbol shows us which number is bigger. In this case, 4.626 is larger than 4.606, so we put this "<"
Answer:
the middle one.
im just guessing
PLEASE HELP ME
A cookie jar contains three types of cookies: oatmeal, chocolate chip, and sugar. 6. Half of the remaining cookies are oatmeal. If there are 9 oatmeal cookies, how many cookies are in the jar?
Answer:
1.5
(9÷6)
u basically just divide that's all
Find the value for? to make the equation true. Enter the answer in the box.
Answer:
the answer is 0.35
Step-by-step explanation:
You need to multiply the denominator (10) by a hundred in order to add them together but you also need to multiply the number above that(0.35) and it becomes 3.5, that multiplied by 8 is 28. Hope it helped
What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
Answer:
20
Step-by-step explanation:
So, both of those angles are equal to each other because they are congruent. So, we can set their equations equal to each other to find x.
Solve it like this:
3x + 50 = 6x - 10
-3x -3x (always subtracts the variables first (x), then the other numbers)
50 = 3x -10
+10 +10
60 = 3x
Then, divide both sides by the number next to the variable (3)
60/3 = 20, 3x/3 = x
So, you get:
20 = x
Screenshot attached please help i need the answer quickly there are 2 problems so please solve all of them
Answer:
Pink: 48 units sq
Blue: 42 units sq
Step-by-step explanation:
Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.
PINK trapezoid:
h = 8, a = 4, b = 8A = 8(4 + 8)/2 = 48 units squaredBLUE trapezoid:
h = 6, a = 4, b = 10A = 6(4 + 10)/2 = 42 units squaredHope this helps!
pls answer the question in the picture I'll give brainiest
Answer:
I think the volume is 15
Step-by-step explanation:
2.5 x 3 then multiply that by 2
What is the surface area of this complex figure?
Enter your answer in the box.
ft²
Answer:
a = side length a
b = side length b = bottom triangle base b
c = side length c
h = height of prism
H = height of bottom triangle
V = volume
Atot = total surface area = all sides
Alat = lateral surface area = all rectangular sides
Atop = top surface area = top triangle
Abot = bottom surface area = bottom triangle
Step-by-step explanation:
Answer:
792ft²
Step-by-step explanation:
Have a blessed day
I hope this helps
God bless
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth
Answer:
112.9 cubic meters
Step-by-step explanation:
Formula for Sphere: (4/3) * π*r*3
Since the hemisphere is half of the sphere, plug in variables and multiply.
help me with this please
Answer:
27720cm
Step-by-step explanation:
to find area, we multiply all the widths.
11×14×20×9= 27720cm
Answer:
235 square centimeters
Step-by-step explanation:
Split The Shape Into 2.
Shape 1: 11 cm by 14 cm
11 cm * 14 cm = 154 square centimeters
Shape 2: (20 - 11) cm by 9 cm
(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters
Original Shape = Shape 1 + Shape 2
154 + 81 = 235 square centimeters
Point W is located at (−6,−6) and is rotated 180 degrees clockwise around the origin. What are the coordinates of Point W'?
Answer:
(6,6)
Step-by-step explanation:
Have a good day! Hope this helped :)
Can anyone help me, i will give brainiest.
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
Need help with homework
A school fundraiser has a minimum target of $600. Faculty donated $200 and there are 10 student clubs that are participating with different activities. Write an inequality showing the amount money each club should raise to meet the minimum target. Use f for the amount of money that each club raises.
So you add 600$+200$ then divide it by ten
Answe is:80$
Please Help! You will get brainliest as long as it is correct!
Answer:
Casey's snack mix is slightly cheaper per ounce.
Step-by-step explanation:
Divide the total price per box by the amount of ounces. This results in:
- Kim's snack mix costing $0.16 per ounce.
- Casey's snack mix costing $0.14 per ounce.
Therefore, by $0.02, Casey's snack mix is cheaper even though the total price is higher due to having more mix.
17. Classify Each Angle Pair then find the value of X
Given -
If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,To find -
m∠2.Concept -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
Solution -
[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]
[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18(x+1)=180}[/tex]
[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]
[tex]\rightarrow\sf{x+1=10}[/tex]
[tex]\rightarrow\sf{x=10-1}[/tex]
[tex]\rightarrow\boxed{\bf{x=9}}[/tex]
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
What is the measure of Angle B from the diagram below:
Answer:
201
Step-by-step explanation:
Look at the screenshot
Answer:
The answer is d and b hope this helps!
Find the perimeter and area of the shaded figure below.
Answer:
Perimeter = 12
Area = 8
Step-by-step explanation: For the perimeter add all the sides so the top and bottom is both 2 so 2+2 = 4.
For the sides its both 4 so 4 + 4 = 8.
8 + 4 = 12
So the perimeter is 12.
For area just count all the blue squares and there is 8 squares.
So the area is 8.
Hope this helps you.
Answer:
Perimeter = 12
Area = 8
*Brainliest would be appreciated.
Step-by-step explanation:
At a pizzeria one day, 12 of the pizzas sold were topped with mushrooms. This represented 15% of all the pizzas sold that day. What was the total number of pizzas sold that day?
Record your answer in the grid. Be sure to use the correct place value.
Answer:
80
Step-by-step explanation:
So, let's say the total number of pizzas is x
If 15% of x, the total, is 12, then x * 0.15 must = 12
Use this to make an equation
12 = 0.15x
Divide both sides by 0.15 to get x on its own
12 / 0.15 = x0.15 / 0.15
80 = x
80 pizzas were sold
5 tons of mulch cost $37,800.00. What is the price per pound?
Answer:
$3.78 per pound
Step-by-step explanation:
5 tons = 10,000 lbs
37,800/10,000 = 3.78
please help me with this and give why
Answer:
E. 24 and 32
Step-by-step explanation:
this is because the factors for each number
24= 1,2,4,6,8,12,24
36= 1,2,3,4,8,12,16,32
9x + 7 ≥ 54
x ≥ __
Solve pls
Answer:
5 2/9 would be the answer
Stevie is moving up to the attic and wants to paint a wall white. The wall is a triangle with a base of 20 feet and a height of 21 feet. What is the area of the wall?
Answer:
Step-by-step explanation:
Remark
Use the formula for the Area of a Triangle to find the number of square feet the paint will have to cover.
Formula
Area = 1/2 base * height
Givens
b = 20 feet
h = 21 feet
Solution
Area = 1/2 * 20 * 21
Area = 1/2 * 420
Area = 210 square feet
What percentage of the mile times range from 7.25 to 9.375?
Answer:
0.6796875
Step-by-step explanation:
1. We assume, that the number 9.375 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 9.375 is 100%, so we can write it down as 9.375=100%.
4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.
5. Now we have two simple equations:
1) 9.375=100%
2) x=7.25%
where the sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
9.375/x=100%/7.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 7.25% of 9.375
9.375/x=100/7.25
(9.375/x)*x=(100/7.25)*x - we multiply both sides of the equation by x
9.375=13.793103448276*x - we divide both sides of the equation by (13.793103448276) to get x
9.375/13.793103448276=x
0.6796875=x
x=0.6796875
now we have:
7.25% of 9.375=0.6796875
The percentage of the mile 7.25% of 9.375 =0.6796875.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
We have to find percentage of the mile times range from 7.25 to 9.375.
let 9.375 represents 100% and x represents 7.25%.
Then, using proportion we can write
9.375/x=100%/7.25%
9.375/x=100/7.25
9.375 (7.25)= 100x
100x = 67.96875
x= 0.6796875
Thus, 7.25% of 9.375 =0.6796875
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ2
This figure represents a specialty design for a craft template, made of a square and two identical triangles.
What is the area of 4 of these designs?
108 cm²
135 cm²
432 cm²
540 cm²
Answer:
540 cm²
Step-by-step explanation:
Area of the figure
2 x 1/2 x 9 x 6 + 9 x 954 + 81135 cm²Area of 4 figures
Area of the figure x 4135 x 4540 cm²Coach King is holding a free-throw shooting contest for some students in his PE class. The students participating in the contest shoot 50 free throws each. The results are shown in the table. What is the mode of the data? A) 45 B) 27 C) 34.5 D)34
Answer:
D
Step-by-step explanation:
34 shows up twice more than the rest