Answer:
Area of rectangle = 448
Area of semi circle = 402.1
Total area = 850.1
Step-by-step explanation:
Area of rectangle = length times width
Given length = 32 cm
Given width = 14 cm
Area = 32 * 14 = 448
Area of semi circle = πr² / 2
where r = radius
Given diameter = 32cm
To convert diameter to radius simply divide by 2
32 / 2 = 16
So radius 16
now we plug 16 into the formula
[tex]A=\frac{\pi 16^2}{2} \\16^2=256\\256\pi =804.25\\\frac{804.25}{2} =402.12\\A=402.1[/tex](rounded)
Total area = area of semi circle plus area of rectangle
total area = 402.1 + 448 = 850.1
Answer:
Solution given:
length [l]:diameter [d]:32cm
breadth [b]:14cm
radius [r]=32/2=16cm
Area of semi circle:½πr²=½*πx16²=402.12cm²
+Area of rectangle:l*b=32*14=448cm²
=Total area =402.12cm²+448cm²= 850.12cm²
What common fraction is halfway between 1/8 and 1/10 on a number line?
Answer:
9/80
Step-by-step explanation:
1/8 = 10/80
1/10 = 8/80
9/80 is fraction between 1/8 and 1/10
The common fraction which is halfway between 1/8 and 1/10 on a number line is 9/80.
We are given that;
The two numbers 1/8 and 1/10
Now,
A fraction represents a part of a number or any number of equal parts.
To find the common fraction that is halfway between 1/8 and 1/10 on a number line, we need to find the average of the two fractions. To do this, we need to add the fractions and divide the sum by 2. To add the fractions, we need to find a common denominator for them. The least common multiple of 8 and 10 is 40, so we can multiply the first fraction by 5/5 and the second fraction by 4/4 to get equivalent fractions with the same denominator:
1/8 + 1/10 = (1/8)(5/5) + (1/10)(4/4) = 5/40 + 4/40
Now we can add the fractions by adding the numerators and keeping the denominator:
5/40 + 4/40 = (5 + 4)/40 = 9/40
To divide this fraction by 2, we can multiply it by the reciprocal of 2, which is 1/2:
(9/40) / 2 = (9/40) x (1/2) = (9 x 1)/(40 x 2) = 9/80
Therefore, by fraction the answer will be 9/80.
Learn more about fraction;
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What is the midpoint
(-9,8) and (-4,-2)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is __:__
Answer:
1 : 1
Step-by-step explanation:
PQ parallel to RS
PR and PS ; perpendicular to PQ and RS
FOR parallel lines, the perpendicular line joining then are always the same ; here the 4 angles formed are all 90°
Answer:
1:1
Step-by-step explanation:
WHAT IS A RATIONAL NUMBER
What are the solutions of this quadratic equation?
6x^2 + 6 = 12x + 18
A. x = 1 ± √3
B. x = 2 ± 2√3
C. x = 2 ± √6
D. x = -1 and x = 3
The Answer Is: A. x = 1 ± √3
WILL MAKR BRAINLIEST IF GOTTEN RIGHT
Answer:
[tex] V_{weights} =1,243 \: cm^3 [/tex]
Step-by-step explanation:
Radius of weight [tex] r_1=\frac{20}{2}= 10 \:cm[/tex]
Radius of hole [tex] r_2=\frac{2}{2}= 1 \:cm[/tex]
Height of weight as well as hole (h) = 2 cm
Volume of weights = (Volume of one weight - volume of hole)
[tex] \therefore V_{weights} = 2 (\pi r_1^2 h - \pi r_2^2 h)[/tex]
[tex]\therefore V_{weights} = 2 \pi (r_1^2 - r_2^2 )h[/tex]
[tex]\therefore V_{weights} = 2 (3.14)(10^2 - 1^2 )2[/tex]
[tex]\therefore V_{weights} =12.56(100 - 1 )[/tex]
[tex]\therefore V_{weights} = 12.56(99)[/tex]
[tex]\therefore V_{weights} =1,243.44[/tex]
[tex]\therefore V_{weights} \approx 1,243 \: cm^3 [/tex]
PLEASE HELP ILL MARK BRAINLIEST 5O POINTS PLEASE
The data shows the ages of people in a restaurant.
20, 25, 5, 28, 66, 62, 21, 28, 34, 38, 40, 10, 12, 15, 45, 50, 28
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Ok i will help
Step-by-step explanation:
The x axis numbers are the ages the y axis numbers are how many people with that age then record the data.
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a. 13 in.
b. 169 in.
C. 60 in.
d. 30 in.
Which name accurately describes the figure shown below and why?
A 4-sided figure with 2 parallel sides, 2 right angles, and 2 non-congruent sides.
parallelogram, because the figure has two pairs of parallel sides
parallelogram, because the figure has exactly one pair of parallel sides
trapezoid, because the figure has two pairs of parallel sides
trapezoid, because the figure has exactly one pair of parallel sides
Answer:
trapezoid, because the figure has exactly one pair of parallel sides.
Step-by-step explanation:
Answer:
trapazoid
Step-by-step explanation:
PLEASE HELP! GIVING BRAINLIEST!
Answer:
56 i think
Step-by-step explanation:
8 × 4
4 × 6
then add them together
Answer:
56 un²
Step-by-step explanation:
10 un × 8 un = 80 un²
10 un - 4 un = 6 un
8 un - 4 un = 4 un
6 un × 4 un = 24 un²
80 un² - 24 un² = 56 un²
A car dealership decides to select a month at random for its annual sale find the probability that it will be July or October
Answer:
Step-by-step explanation:
there are 12 posible months in a year and 2 months ( July and October )when the sale might happen.
P= 2/12 = 1/6
please help me with this solve for x.
Answer:
x=60°
Step-by-step explanation:
basically it has to equal 180 when added to the other number
please help!!!
43+29= ? +60
Answer:
12
Step-by-step explanation:
43 + 29 = 72
? = 72 - 60 = 12
therefore, 43 + 29 = 12 + 60
which property of polynomial multiplication says that the product of two polynomials is always polynomial
Answer:
Closure is the right answer.
Daryl can jump 2 1/2 yards. Sarah can jump 8 feet and Michelle can jump 72 inches.Which statement is true?
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
leg: 20 m; hypotenuse: 25 m
10.5 m
8.9 m
15 m
32 m
Answer:
the answer is third option
because, 20²+x²=25²
x²=625-400
x²=225
X=15mwhat a quadrilateral with four equal sides, four equal angles, and all angles are right angles.
Answer:a square
Step-by-step explanation:
Consider a cylinder with height h=3x-4 and radius r=3x+2 Determine a simplified expression for the ratio of the volume of the cylinder to its surface area. Make a sketch of the cylinder
Step-by-step explanation:
Given that,
The height of the cylinder, h = 3x-4
The radius of the cylinder, r = 3x+2
The volume of the cylinder is :
[tex]V=\pi r^2 h[/tex]
The surface area of the cylinder is :
[tex]A=2\pi r(r+h)[/tex]
The ratio of the volume of the cylinder to the surface area of the cylinder is :
[tex]\dfrac{V}{A}=\dfrac{\pi r^2h}{2\pi r(r+h)}\\\\\dfrac{V}{A}=\dfrac{rh}{2(r+h)}[/tex]
Put all the values,
[tex]\dfrac{V}{A}=\dfrac{(3x+2)(3x-4)}{2(3x+2+3x-4)}\\\\\dfrac{V}{A}=\dfrac{(3x+2)(3x-4)}{2(6x-2)}[/tex]
Hence, this is the required solution.
4
The net below shows four equilateral
triangles.
8 ft
12 ft
+
What is the total surface area of the
triangular pyramid in square feet?
A 144
B
192 ft
C 258 ft
D 384 Ft
Answer:
B) 192 ft
Step-by-step explanation:
The measure of angle 5x/6 is . The equivalent measurement in degrees is
Answer:
17
Step-by-step explanation:
Which of the following are roots of the polynomial function
Answer:
its a and b
Step-by-step explanation:
Please help me. This is URGENT. I really need help,
Answer:
39 ovoid it e fifty from ff
Step-by-step explanation:
39
16 x 7 = (10x7) + (6 x p)
Isa makes a goal to drink 56 cups of water this week. She drinks 9 cups of water on each of the first 4 days of the week
Answer:
I dont know what the question is but she drank 36 cups of water already so she needs to drink 20 more
Answer:20
Step-by-step explanation:
A cone has a height of 18 yards. Its base has a radius of 19 yards. Find its volume, in cubic yards, to the nearest tenth. Use 3.14 or the calculator value for pi.
Answer:
Solution given:
height [h]=18yards
radius [r]=19yards
π=3.14
we have
Volume of cone=⅓(πr²h)
=⅓(3.14*19²*18)6801.24 cubic yards6801.24 cubic yards is a required volume of cone.
it is a polygon with 3 sides and 3 angles
Answer:
A triangle is that polygon with three side and three Angles
Johnny took a math quiz last week. He got 9 problems correct and 11 problems incorrect. What percentage did Johnny get correct?
Answer:
The answer is 45%
Step-by-step explanation:
9+11=20
9/20
=4.5/10
=45/100
=45%
Please help me I'm not smart enough to figure this out LITERALLY
In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice must show a side containing 5 dots. What is the probability of landing on 5 dots?
5/6
2/6
5/12
1/6
Answer:
1/6
Step-by-step explanation:
There are six sides, but only one side has 5 dots, meaning 1/6 has 5 dots. Therefore the probability is 1/6.
Refer to the following data set: What is the median?
Answer:
8
Step-by-step explanation:
do only 4 for brainiest:):):)
Answer:
Step-by-step explanation:
1. 1/6
2. 3/6
3. 2/6
4. 1/6
5. 3/6
6. 3/6
btw you need to charge your computer... :)