Answers
Answer:
b) 850.1 centimeters.Step-by-step explanation:
To find the area of this figure, we must first find the areas of the shapes that compose this figure.
This figure is made up of a rectangle and a semicircle.
Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.
[tex]a=\pi r^2/2[/tex]
3.14 will be used for pi!
To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.
[tex]a=lw[/tex]
Now, let's solve.
The diameter of the semicircle is 32 centimeters.
To find the radius of a semicircle, divide the diameter by 2.
[tex]32/2=16[/tex]
The radius of the semicircle is 16 centimeters.
Now that we have the radius, we can find the area of the semicircle.
[tex]\pi 16^2/2=401.92[/tex]
The area of the semicircle is 401.92 centimeters.
Furthermore, we find the area of the rectangle.
[tex]14*32=448.[/tex]
The area of the circle is 448 centimeters.
Next, we add the areas of both shapes to find the area of this figure.
[tex]401.92+448[/tex]
[tex]=849.92[/tex]
The final step is to round 849.92 to the nearest tenth.
Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'
I, therefore, believe the area of this figure is 850.1 centimeters.
Related Questions
The area of the triangle below is 12 square inches. What is the length of the base?
Answers
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
Area = 12 inches
Triangle area= (base • height) divided by 2
12= ( 8 • 3 ) divided by 2
2, 4 and 6 are consecutive even numbers.
Alice wrote down three consecutive even numbers with a sum of 252.
Pat wrote down three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.
The difference between the largest odd number and the largest even number was 25.
Answers
Answer:
Alice: 82, 84, 86
Pat: 103, 105, 107
Step-by-step explanation:
Alice:
x + (x+2) + (x+4) = 252
3x + 6 = 252
3x = 246
x = 82 so Alice's last term is 82+4 = 86
Pat:
y + (y+2) + (y+4) = Pat's Total
Pat's last term is (y+4) so
Alice's last term + 25 = Pat's last trem
86 + 25 = 111 = y+4
y = 107
What is a lifetime cap?
Answers
Answer: A limit on how much an ARM's interest rate can change over the
life of a mortgage
Step-by-step explanation: took the quiz.
PLZZZ HELPP.
Given the following matrices, what is the correct product matrix CD?
А. [21 10]
B. The matrix is undefined.
C. [29 53]
D. [53 29]
Answers
Answer:
D
Step-by-step explanation:
you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices
[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]
[ 10 + 36 + 7 -20 + 0 + 49 ]
[ 53 29]
hope this helps.
Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.
The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.
What is the product of two matrix?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
Given that, C=[5 9 7] and D= [tex]\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right][/tex]
Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]
= [10+36+7 -20+49]
= [53 29]
Therefore, option D is the correct answer.
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If ∠2 = 82°, then ∠7= ?
look at image
Answers
Answer:82
Step-by-step explanation:
Answer:
∠ 7 = 82°
Step-by-step explanation:
∠ 2 and ∠ 7 are Alternate exterior angles and are congruent, then
∠ 7 = ∠ 2 = 82°
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd
Answers
Answer:
The length of the missing side is 18yd
Step-by-step explanation:
Sq30 - Sq 24 = Sq (x)
1. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games.
Answers
Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
3x 3x
2x + 75 = 105 Subtract 75 from both sides
- 75 -75
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
decide which point lies on the line that is parallel to AB and passes through point P
Answers
The questions is in the picture
Answers
Answer:
x = 308 feet
Step-by-step explanation:
tan = opp/adj
tan72 = x/100
multiply both sides by 100
100 * tan72 = x
Use calculator
x = 307.76835371752534
Rounded
x = 308 feet
whats the factor:81x3-3000
Answers
aikskdjjsiwwjjjwjwkkwkwkwkwkwkwkwkwkw
Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.
A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.
Answers
Answer:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.
When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
what number am i thinking of?
a. 21
b. 9
c. 69
d. 7
Answers
Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.
Answers
Answer:
c < 56
Step-by-step explanation:
Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.
c < 7 × $8
c < $56
Exponential functions do not form straight lines.
A)True
B)False
Answers
Answer:
A
Step-by-step explanation:
Linear are the one with straight line
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box
Answers
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are girls?
Answers
Answer:
20 girls
Step-by-step explanation:
boys : girls : total
3 5 3+5 = 8
There are 32 students
32/8 = 4
Multiply each term by 4
boys : girls : total
3*4 5*4 8*4
12 20 32
There are 20 girls
Answer: 20 girls
Step-by-step explanation:
So boys to girls is 3 to 5
It asks for girls in class
Suppose there were 8 people in class, 5/8 of the people would be girls
It states that 32 people are in the class, so do 32 x 5/8 to get 20 girls
If a salon charges rupees 99 for a haircut, how much money did the salon earn over the week?
Answers
Answer:
5940 rupees
Step-by-step explanation:
99 multiplied by 29×5 is 5940
Answer:
[tex]\text{(b) }[/tex] ₹[tex]5,940[/tex]
Step-by-step explanation:
Each pair of scissors on the chart represents 5 haircuts, as indicated by the key. There are 2 scissors on Saturday and 10 scissors on Sunday, hence a total of 12 scissors over the weekend. Therefore, there were [tex]12\cdot 5=60[/tex] haircuts over the weekend.
Since the salon charges 99 rupees per cut, they made a total of [tex]99\cdot 60=\boxed{5,940}[/tex] rupees over the weekend.
The graphs below have the same shape. What is the equation of the blue graph ?
Answers
Answer:
A G(x) = (x - 5)²
Step-by-step explanation:
Plug in x = 5 into the given choices
only G(x) = (x - 5)² correctly returns G(5) = 0
help y’all
What are the diferences between volume & area?
Answers
Volume is defined as the space occupied by the three-dimensional object.
Answer
The term Area and Volume can create considerable confusion in understanding the terms. Although they seem to be of like a similar quantity of measurement, in reality, they are very much different from each other. Let us understand the underlying meaning of both terms.
What is the difference between Area and Volume?
Area
It is to be noted that area is always defined in two dimensions or object in a plane.
The area is the amount of space occupied by a two-dimensional flat object in a plane.
It is always measured in square units.
It is measured in 2 dimension
Volume
The volume is always defined for a three-dimensional object.
Volume is defined as the space occupied by the three-dimensional object.
It is always measured in cubic units.
It is measured in 3 dimension
Find the distance between (1, 3) and (5, 6)
a) 3
b) 4
c) 5
d) 6
Answers
Reason: cause
Cho số phức z , w thỏa mãn |z-3-i | = 1 và | w-1 | = |w+i |. Giá trị nhỏ nhất của P = | w+1 - 3i | + | w -z | bằng?
Answers
What is the domain of function g if g(x)= f(x)-12?
Answers
Using translation concepts, it is found that the domain of g(x) = f(x) - 12 is the same domain of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 12, that is, g(x) is a shift down of 12 units of f(x).
The domain of a function is the set that contains all possible input values for the function. A shift down does not add any restriction to the function, hence the domain of f(x) and g(x) are the same.
More can be learned about translation concepts at https://brainly.com/question/4521517
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Line l has a slope of the line through which of the following pair of points is perpendicular to l?
A. (2, 6), (4,2)
B. (0,4), (2, 2)
C. (6,9), (4,5)
D. (6,4), (2,2)
Answers
Answer:
Step-by-step explanation:
I think its A
Given g(x) = |2x + 1), find the values of x if g(x)=5
Answers
Answer: 11
Step-by-step explanation:
g(x)=(2x+1)
g(x)=5
g(5)=2(5)+1
=10+1
g(5) =11
Helpppppppppp what’s the angleeeee plz tell me tytytytyytyttytytyt
Answers
Answer:
101°
Step-by-step explanation:
anyone know how to do this??
Answers
Answer:
csc²(x)
Step-by-step explanation:
csc(x) = 1/sin(x)
sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =
= 1 - 2×sin²(x)
=> 2×sin²(x) = 1 - cos(2x)
sin²(x) = 1/2×(1-cos(2x))
=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)
=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =
= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)
please help me, tysm
Answers
This afternoon Greta left school, rode the bus 7/12 of a mile, and then walked 1/3 of a mile to get home. How much farther did Greta ride than walk?
Answers
1/3 x 4 = 4/12
7/12 - 4/12 = 3/12
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answers
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
Learn more about a right triangle;
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