10 ft
8 ft
D
Hint: Circumference
of a circle: C = rid
Find the perimeter of this figure to the
nearest hundredth. Use 3.14 to
approximate n.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter
Answers
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
[tex]P = \frac{1}{2} 2\pi r + d[/tex]
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
Related Questions
In how many different ways can 6 people be seated at a round table
Answers
1x5x4x3x2x1
The nth term is going to be (n-1)
help i not smart plz
Answers
Answer: The third one
Step-by-step explanation:
4d-6<18 Add six to both sides
4d<24 Divide both sides by 4
d<6 It is an open circle because it is not less than or equal to
STEP BY STEP:
4d - 6 < 18
+ 6 + 6
4d < 24
/4 /4
d < 6
The < means less than :
- open circle
- pointing to the left
HELP PLEASE!
Isosceles triangle ABC is shown below.
Triangle A B C. Angles B and C are x. Sides C A and B A extend to form an exterior angle at point A with a measure of 22 degrees.
What is the value of x?
22°
79°
136°
158°
Answers
Answer:
Isosceles add upto 180°
To find x =180°-22°=158°
Answer:
x = 79°
Step-by-step explanation:
→ Remember that vertically opposite angles are equal so 22° is opposite to CAB so angle CAB is 22°
CAB = 22°
→ Remember the fact that
Angles in a triangle add up to 180°Base angles in an isosceles triangle are equalUsing the information we form an equation,
2x + 22 = 180
→ Minus 22 from both sides to isolate 2x
2x = 158
→ Divide both sides by 2 to isolate x
x = 79°
There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 3:1 B. 5:1 C. 6:1 D. 9:1
Answers
Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
Answer:
252.1
Step-by-step explanation:
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Answers
Answer:
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Required
Find the equivalent
To find the equivalent of the given expression; we have to apply laws of indices;
As a law;
[tex]a^{-m} = \frac{1}{a^m}[/tex]
So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]
This is further simplified to
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]
Combine to form a single fraction
[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]
Multiply numerator
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
The expression can not be further simplified
Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Answer:
c
Step-by-step explanation:
x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.
Hope this helped other than the guy above lol
A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)
Answers
Answer:
86.82%
Step-by-step explanation:
A nautical mile = 6,174 feet.
Statute mile =5,360 feet
The percentage of a statute mile to a nautical mile is calculated as:
5360/6174 × 100
= 0.8681567865 × 100
= 86.81567865%
Approximately to the nearest hundredth = 86.82%
Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%
Reflection over the y-axis and a translation of shifting down 7 units.
Answers
Answer: (-x, y-7)
Step-by-step explanation:
A reflection across the y-axis changes the sign of the x-value.
(x, y) → (-x, y)
Shifting down 7 units subtracts 7 from the y-value.
(-x, y) → (-x, y-7)
What is the perimeter of this polygon?
(2,3)
(-4, 2)
(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units
Answers
In which quadrant does the point (25 , 21) lie? A. Quadrant I B. Quadrant IV C. Quadrant III D. Quadrant II
Answers
Not 2,3,4
Answer:
A
Step-by-step explanation:
Both of the coordinates are positive. The quadrant that has points with positive x and y coordinates is Quadrant I.
Please hurry❗️❗️❗️!!!!!!
Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7
Answers
Answer:
The answer is (a+c) + 7
Since addition is associative a + ( C + 7) can also be written as (a+c) + 7
Hope this helps you
Answer:
(a+c)+7
Step-by-step explanation: This method is called associative property.
On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.
Hope it would help :)
the two rectangular similar
no the ratios of corresponding sides are not equal
yes the lengths of the corresponding sides form equal ratios
no. the figures are facing different directions
yes they are both rectangles
Answers
Answer:
no the ratios of corresponding sides are not equal
Step-by-step explanation:
For two rectangles to be considered similar, the ratio of the length of their corresponding sides must be of equal measure.
Let's find out if the 2 given rectangles are similar or not by finding the ratio of the length of their corresponding sides as follows:
3/3 = 1
4/6 = 2/3
Thus, 3/3 ≠ 4/6
The ratio of their corresponding sides are not equal. Therefore, the two rectangles bare not similar.
The answer is: "no the ratios of corresponding sides are not equal".
A ramp is being built to an entrance of a school. The ramp will begin 4 feet from the entrance and have an incline of 6°. How long is the ramp? Question 18 options: A) 38.06 units B) 3.82 units C) 38.27 units D) 4.02 units
Answers
Answer:
D) 4.02 units
Step-by-step explanation:
This will be a right triangle, where b = 4 and angle A is 6 degrees
We want to find c
cos A = adjacent / hypotenuse
cos 6 = 4/c
c cos 6 =4
c = 4/ cos 6
c =4.022033118
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)
Answers
Answer:
the answer is y+3=1/4x+4
If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74
Answers
Answer:
mean =sum of all data values
total number of data
13+91+44+68+54+16+88+74
8
448
8
=56
therefore the mean is 56
Answer: 51
Step-by-step explanation:
Find the missing segment in the attached image
Answers
Answer:
The length of the missing segment is 44
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{20}{x} = \frac{10+20}{22+x}[/tex]
[tex]\frac{20}{x} = \frac{30}{22+x}[/tex]
Cross Multiply
[tex]20 * (22 + x) = 30 * x[/tex]
Open bracket
[tex]20 * 22 + 20 * x = 30 * x[/tex]
[tex]440 + 20x = 30x[/tex]
Subtract 20x from both sides
[tex]440 + 20x - 20x= 30x- 20x[/tex]
[tex]440 = 30x- 20x[/tex]
[tex]440 = 10x[/tex]
Divide both sides by 10
[tex]\frac{440}{10} = \frac{10x}{10}[/tex]
[tex]\frac{440}{10} = x[/tex]
[tex]44 = x[/tex]
[tex]x = 44[/tex]
Hence, the length of the missing segment is 44
This is a trigonometry related problem, but I don't understand the question itself, finding the missing sides when it appears all the sides are given, as well as all the angles. Can someone help me out with this question? Thanks!
Answers
Problem 13
Answer: Choice C. x = 7*sqrt(2), y = 7----------------------------
Explanation:
For any 45-45-90 triangle, the legs are the same length. One leg is 7, so the other leg is 7 as well. This means y = 7.
The hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. So that leads to 7*sqrt(2) being the hypotenuse. You can use the pythagorean theorem to solve 7^2+7^2 = x^2 to confirm that x = 7*sqrt(2)
============================================================
Problem 14
Answer: Choice D. x = 3, y = sqrt(3)------------------------------
Explanation:
The hypotenuse is 2*sqrt(3). Take half of this to get sqrt(3), which will be the length of the short leg y. So y = sqrt(3)
Multiply the short leg's length with sqrt(3) to get the length of the long leg
In other words,
long leg = (short leg)*sqrt(3)
long leg = sqrt(3)*sqrt(3)
long leg = sqrt(3*3)
long leg = sqrt(9)
long leg = 3
Therefore, x = 3
All of this applies to 30-60-90 triangles only. Like with problem 13, if you know two sides of a right triangle, you can use the pythagorean theorem to solve for the third missing side.
A box of cereal is supposed to weigh 13.8 oz, but it's acceptable for the weight to vary as much as
0.1 oz. Write and solve an absolute value inequality to find the range of acceptable weights.
Answers
What does the perimeter of this figure consist of?
A.) one semicircle and one line segment
B.) one semicircle and two line segments
C.) one semicircle and three line segments
D.) two semicircles and two line segments
I hope you can help!
Answers
Answer:
B.) one semicircle and two line segments
Step-by-step explanation:
The curve would be part of the 'semicircle'. The two line segments would make up the outside of the triangle. The perimeter would have to go around the semicircle's curve and the outside of the triangle.
Option B should be the correct answer.
Plz help asap!!!!!!!
Answers
What is the cost of an $8,000 car including 5½% tax?
Answers
Answer:
Car Price:
$8,000.00
Interest Paid:
$492.48
Sales Tax:
$448.00
Total Cost:
$8,940.48
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Answers
Step-by-step explanation:
We khow the sum and the product of the zeroes of this quadratic polynomial
Here is a trick :
when we khow the sum S and the product P ofvtwo numbers we can find them by solving :
x²-Sx+p=0
here S= -8 and P=12
so:
x²+8x+12=0
Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12
Δ= 8²-4*12 =16
the zeros are:
(-8-4)/2= -6
(-8+4)/2 = -2
verify:
-6+(-2)= -8
-2*(-6)= 12
now the polynomial quadratic is:
(x+6)(x+2)
Which is true regarding the graphed function f(x)?
O FO) = 3
O f/5) = -1
Of(3) = 2
Of(2)= -2
Answers
Answer:
The answer is option B
f( 5) = - 1
Hope this helps you
Regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
The slope (m) of the graph is
m = (4 - 0) / (0 - 4)
m = -1
From general linear equation: y = mx + c
The equation of the function is;
y = -x + 4
f(x) = -x + 4
Let us check all the options one by one.
If x = 0,
F(0) = 4 This is not true
If x = 5
F(5) = -5 + 4
F(5) = -1 This is true.
Therefore, regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
Learn more about Function here : https://brainly.com/question/17043948
HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answers
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles:
A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)
Answers
Answer:
12.6 hp
Step-by-step explanation:
output of motor = 85.4% of input of motor.
Given that motor delivers 10.75 hp, it means output of motor is 10.75hp
Using both the given conditions
10.75 = 85.4% of input of motor
=> 10.75 = 85.4/100 * input of motor
=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.
Input of motor rounded to 1 decimal place = 12.6 hp
rewrite the rational exponent as a radical by extending the properties of integer exponents
Answers
Answer:
Step-by-step explanation:he correct answer is:
the eighth root of 2 to the fifth power .
Explanation:
What we have is:
Using the rules of exponents, we know that when we divide powers with the same base, we subtract the exponents. The base of each exponent is 2, so we subtract:
7/8 - 1/4
We find a common denominator. The smallest thing that both 8 and 2 will evenly divide into is 8:
7/8 - 2/8 = 5/8
This gives us:
When rewriting rational exponents as radicals, the denominator is the root and the numerator is the power. This means that 8 is the root and 5 is the power, which gives us:
,
or in words, the eighth root of 2 to the fifth power.
What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)
+
-
Answers
Answer:
-
Step-by-step explanation:
becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive
Answer:
Negative
Step-by-step explanation:
[tex](-3)(-4)(5)(6)(-7)\\\\-3*-4*5*6*-7\\\\\boxed{-2520}[/tex]
The product has a negative sign.
Brainilest Appreciated.
1) Explain the Distributive Property in your own words.
2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.
Answers
Answer:
The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.
5(10+x)=5(10)+5(x)=50+5x
:)
Solve the equations to find the number and type of solutions. The equation 8 − 4x = 0 has real solution(s).
Answers
Answer:
its 1
Step-by-step explanation:
no cap
Answer:
1,2,1,2 answers for the rest of the question
Step-by-step explanation:
Find the missing segment in the attached image
Answers
Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]
[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]
Cross Multiply
[tex]15 * (8 + x) = 20 * x[/tex]
Open bracket
[tex]15*8 + 15 * x = 20 * x[/tex]
[tex]120 + 15x = 20x[/tex]
Subtract 15x from both sides
[tex]120 + 15x -15x= 20x-15x[/tex]
[tex]120 = 20x-15x[/tex]
[tex]120 = 5x[/tex]
Divide both sides by 5
[tex]\frac{120}{5} = \frac{5x}{5}[/tex]
[tex]\frac{120}{5} = x[/tex]
[tex]24 = x[/tex]
[tex]x = 24[/tex]
Hence, the length of the missing segment is 24
A rectangle has a perimeter of 269.4 miles and a base of 77.6 miles. What is the height?
Answers
Answer:
you have to divivide both number to find the height=57.1
Step-by-step explanation:
Step-by-step explanation:
Perimeter = 2×(Height × Base)
269.4 = 2(Height × 77.6)
269.4 = 155.2 × 2Height
2Height = 114.2
Height = 57.1 miles