Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Answers
Hi,
Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.
Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4
Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.
But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.
Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.
Good Luck
Related Questions
A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
Answers
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
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State if the triangle are congruent by sss sas asa aas or not congruent
Answers
You paid $375 in simple interest on an 8 year loan at 1.5% interest. How much did you
borrow?
Answers
It would be $0.47 monthly interest and $5.63 yearly interest
If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?
Answers
Answer:
I'm pretty sure 70 liters
Step-by-step explanation:
because 60÷10=6
so 70÷10=7
A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answers
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answers
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
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ey bud can you help me?
Answers
Answer:
sup everybody how's it been for yall?
Step-by-step explanation:
this is the last few hours of my free brainly premium so I just wanted to say if you love brainly you'll love brainly premium
choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547
Answers
Answer:
A & C
Step-by-step explanation:
Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.
Answers
Answer: 192
Step-by-step explanation:
To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.
Answer:
192 in³
Step-by-step explanation:
The volume of a cube is represented by raising one side length to the 3rd power.
4 x 4 x 4 = 64
64 is the volume of the first box.
The second box is 3 times the value of the third box, so the equation for the third box is:
64 x 3 = 192
12(x-2×4-2x-5)
Solve...
Answers
Answer:
=−12x−156
Step-by-step explanation:
=(12)(x+−8+−2x+−5)
=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)
=12x−96−24x−60
=−12x−156
Step-by-step explanation:
= 12(x - 8 -2x - 5)
= 12(-x - 13)
= -12x - 156
please give me a brainliest answer
A tent in the shape of a triangular prism is set up at a camping site. Use the measurements to calculate the volume of the tent. Report the answer using the correct number of significant figures. Remember, the volume formula for a triangular prism is given by V=Bh
Please helpp !! Will mark brainlest
A. 132cm2
B. 130cm2
C. 100cm2
D. 140cm2
Answers
Answer:
100 cm2
Step-by-step explanation:
The volume of the triangular prism will be 132 cubic centimeters. The correct option is A.
What is the volume of the prism?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid. The volume of the rectangular prism is calculated by the product of the triangular base and the height of the prism.
Given that the dimensions of the base of the prism are height = 4cm and base = 6 cm and the length of the prism will be 11 cm.
The volume of the prism will be calculated as:-
V= ( 1/ 2 ) b x h x L
V = 0.5 x 4 x 6 x 11
V = 132 cubic centimeter
Therefore, the volume of the triangular prism will be 132 cubic centimeters. The correct option is A.
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Given (x – 7)2 = 36, select the values of x.
Answers
2(x-7)=36
Divide both sides by two
X-7= 36/2
Simplify 36/2 to 18
X-7=18
Add 7 to both sides
X=18+7
Simplify 18+7 to 25
X = 25
The values of the variable "x" which satisfy the equation (x – 7)² = 36 are x = 13 and x = 1.
To find the values of x in the expression (x - 7)² = 36, we need to solve for x using the given equation.
We Expand the square of the binomial: (x - 7)² as x² - 14x + 49,
Now, We Set up the equation as : x² - 14x + 49 = 36,
Next, We Subtract 36 from both sides: x² - 14x + 13 = 0,
Factoring the quadratic equation: (x - 13)(x - 1) = 0,
At last, Applying the zero-product property: x - 13 = 0 or x - 1 = 0,
Solving for x, We get : x = 13 or x = 1.
Therefore, The required values of "x" are x = 13 and x = 1.
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The given question is incomplete, the complete question is
Given the equation (x – 7)² = 36, Find the values of x.
What is the independent quantity?
A) not enough information
B) types of food I eat
Answers
Complete the following.Write the answers in your journal
I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium
Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____
Answers
Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
Find the exact value
Answers
Answer:
yrdfcghftfc 6
Step-by-step explanation:
jhfbvnhjyffvb
120 applications ? (Select all that apply.)
Which ratios are equivalent to the ratio
36 openings
Answers
The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.
The given ratio is 120:36.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Equivalent ratios are the ratios that are the same when we compare them.
120:36
= 20:6
= 10:3
The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which of the following ratios is equivalent to the ratio of 120 to 36?
20 To 6, 12 To 3, 18 To 60, 84 To 1
Hepplpppppppppppppppoplllpllppppppp
Answers
Answer:
X = 53°
y = 143°
Step-by-step explanation:
Hope it helps!!!!!!
what is the inverse function of h(x)=-3/5x+1/2?
Answers
Answer:
h−1(x)=−5x/3+5/6
Step-by-step explanation:
your answer is the second one
Answer:
The answer is the third one
Step-by-step explanation:
I did the test
Pls help I need a good grade I’ll add extra points
Answers
Answer:
i
Step-by-step explanation:
you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks
I have more question then this
Answers
9514 1404 393
Answer:
A. CCW 180° about the origin
Step-by-step explanation:
Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...
reflection across the originrotation 180° CW about the originrotation 180° CCW about the originreflection across the x-axis followed by reflection across the y-axisreflection across the y-axis followed by reflection across the x-axis.A parabola can be drawn given a focus of (8,4) and a directrix of x = 6. Write the
equation of the parabola in any form.
Answers
9514 1404 393
Answer:
x = 1/4(y -4)² +7
Step-by-step explanation:
A parabola can have the equation ...
x = 1/(4p)(y -k)² +h
where the vertex is (h, k), and the vertex-to-focus distance is p.
The vertex is halfway between the focus and directrix, so has coordinates ...
((8, 4) +(6, 4))/2 = (7, 4)
The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...
x = 1/4(y -4)² +7
Rory has 5 pounds of ground turkey to make meatballs. He uses 5/8 pound per meatball to make 7 meatballs. How many 1/8 pound meatballs can Rory with the remaining turkey?
Answers
Answer:
4/8
Step-by-step explanation:
because
need help on homework plz and thank u :)
Answers
Answer: Its b
Step-by-step explanalson
becaues x always equals 7 in a factor
:)
Answer:
it is the second answer.
1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answers
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
how do line segments differ from distance?
Answers
Answer:
It has length, but not width and depth
pls help
its hw pls help
ill try to make brainiest
Answers
Answer:
1. 8. 2. 8. 3. 7/5. 4. 2/3.
Step-by-step explanation:
As you can see you just need to cross multiplication and use distirbitive property
Please give brainiest
h e l p m e please its 20 points
Answers
Answer:
its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners
Step-by-step explanation:
lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt
Answers
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
Help or don’t eiether way you’re amazing
Answers
Answer:
267 (please double check this!!!)
Step-by-step explanation:
Separate the block into sections that you can find the volume for easily and figure out the measurements for each
the two smaller blocks on top will be symmetrical
the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing
so 13*3*5 = 195
The two smaller blocks is just adding a *2 once you figure out the one
it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3
3*4*3 = 36
you have another one of those blocks so it'd be 36*2
then you add them both 72+195 = 267
the general solution of the equation cos3x +cos2x =sin3x/2 + Sinx/2 is
Answers
Answer:
I am doiiiiiiinnnnggg just wait