1) Find the circumference and Area
2) Find the Perimeter and Area
Thank you so much!
Answers
Answer:
See below.
Step-by-step explanation:
1) We know that the circumference of a circle can be found using the formula [tex]c=\pi d[/tex], so for this circle the circumference will be [tex]c=3.14 \times 40=125.6 \text{ yards}[/tex]. The formula for the area of a circle is [tex]A=\frac{1}{4}\pi d^2[/tex], so the area of this circle will be [tex]A=\frac{1}{4} \times 3.14 \times 40^2=1256 \text{ yards}[/tex].
2) First we'll work out the length of the curved side of the shape. That's [tex]\frac{1}{2}\times\pi d =\frac{1}{2} \times 3.14 \times 12=18.84 \text{ mm}[/tex]. Then, we'll add the length of the other two straight sides to get [tex]10.82 \times 2 + 18.84=40.48 \text{ mm}[/tex]. Next: the area of the semi-circle is [tex]\frac{1}{2} \times \frac{1}{4} \pi d^2 = \frac{1}{8} \times 3.14 \times 144 = 56.52 \text{ mm}[/tex]. Adding this to the areas of the two triangles: [tex]56.52+2 \times \frac{1}{2}bh=56.52+(\sqrt{10.82^2-9^2)}\times9 \approx 110.57 \text{ to 2 d.p.}[/tex]
Related Questions
A line has a slope of - 7.
-
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?
I need help
Answers
Answer:
(a) m = -7
(b) m = 1/7
Step-by-step explanation:
Since parallel lines never overlap, the slopes (m) must be equal. Therefore, a parallel line to a line with a slope of (m = -7) must also have a slope of (m = -7).
Perpendicular lines run opposite of parallel lines. As a result, the sign of the perpendicular slope must be the opposite. Since this slope is negative, the perpendicular slope must be positive. The actual numerical value of a perpendicular slope is equal to one over the slope. Therefore, if a line has a slope of (m = -7), the perpendicular line's slope must be (m = 1/7).
Consider the following equation.
2x - y = - 10
Step 2 of 2: Determine the missing coordinate in the ordered pair (?, 6) so that it will satisfy the given equation.
Answers
Problem * A pack of 8 pairs of socks cost $4.00 at the store. How much does it cost for each pair of socks? A $0.80 B $0.40 40) с $0.50 D $1.00
Answers
C) 0.50
Explanation
You pay 4.00 so dived that by 8 and get 0.50. 0.50 is the cost for one pair of socks.
Solve the differential equation:
X+1)dy/dx+y=1/x.
Answers
hopefully i’m right bc that’s what i got when i solved it. also, if i got this right please give me a star if you can
a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how long is his route
Answers
The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.
How to form equation and solve for the variable?The bicyclist covered 5 / 7 of his route and an addditional 40 miles.
Let
x = distance of his route in miles
Hence,
distance covered = 5 / 7 x + 40
He has yet to cover 118 miles less than 0.75 of his route. Therefore,
distance not covered = 0.75x - 118
Distance of his route = 5 / 7 x + 40 + 0.75x - 118
x = 5 / 7 x + 40 + 0.75x - 118
x = 1.464x - 78
x - 1.464x = -78
-0.464x = -78
x = 78 / 0.464
x = 168.103448276
x = 168 miles
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what is -3 2/5 as a decimal?
Answers
Answer:
-3.4
Step-by-step explanation:
Answer:
-3.4
Step-by-step explanation:
1. Multiply 2/5 by 2/2: 4/10
2. -3 & 4/10 = -3.4
I need help in solving a math problem.
Answers
Negative value has least value.
QUICK PLEASE ANSWER ITTT
Answers
Answer:
4 3/4 liters
Step-by-step explanation:
2 1/2 + 2 1/4 = 4 3/4
I don't know what it means by an obtuse angle. I have to choose math because I don't see a subject for shapes and stuff.
Answers
Answer:
Angle ADE is an obtuse angle.
Step-by-step explanation:
An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).
Answer:
An obtuse angle is anything bigger than 90 degrees because 90 degrees is a right angle, therefore D. ADE would be the answer.
A packet of vegetable seeds has a germination rate of
90%. What is the probability that exactly 10 of 12
seeds planted will sprout?
Answers
N = number of seeds planted
P = probability of germination
K = number that germinated
Using probability calculation:
p(x = k) = (n k) x 0.90^K x 0.10^n-k
p(10) = (12 10) x 0.90^10 x 0.10^2
P(10) = 0.2310
I NEED HELP ASAPPPPP!!!!!
Answers
Answer:
C
Step-by-step explanation:
.....................c is the answer
A piece of equipment is purchased for $18,000.00 and has a salvage value of $2,000.00. The estimated life is 10 years and the method of depreciation is straight-line. Shipping costs total $620.00 and installation costs are $590.00. The book value at the end of year 10 is
Answers
2000
Step by step:
Total cost of the equipment=equipment cost+shipping cost+installation cost
Total cost of the equipment=18,000+620+590= 19210
Now compute the annual depreciation
depreciation per year=(Cost of equipment-Salvage Value) ÷ Estimated Useful Life = (19210 - 2000) ÷ 10 =1721 Per year
Compute the accumulated depreciation
1,721×10 years=17210
So the book value at the end of year 10 is
19210-17210= 2000
Find the circumference and the area of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
the answer is in the picture
Six sprinters are racing in a 100-meter dash. How many different ways can a gold, silver, and
bronze medal be awarded?
Answers
Answer:
Step-by-step explanation:
Explanation
6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6
5 runners remain. The second medal goes to any one of the 5
4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.
Answer 6 * 5 * 4 = 120
There are 120 ways of awarding 3 medals to 6 people.
NO LINKS!!!
Please assist with these geometry problems
Answers
Answer:
5. ∠TSR ≅ ∠TRS = 72°
6. ∠ORS ≅ ∠OSR = 18°
7. ∠ROS = 144°
Step-by-step explanation:
Segments OT and SR can be drawn to divide the figure into similar right triangles. In these triangles, all of the smaller acute angles are congruent, and all of the larger acute angles are congruent. The smaller and larger acute angles are complementary, as they are in any right triangle.
Segment OT bisects angle T, so the smaller acute angle in each right triangle is 36°/2 = 18°.
__
5.∠TSR ≅ ∠TRS = 90° -18° = 72°
__
6.∠ORS ≅ ∠OSR = 18°
__
7.∠ROS = 2×∠TOS = 2×72° = 144°
Note that this is supplementary to ∠T: ∠O = 180° -36° = 144°.
A triangle has the dimensions shown. The area of the triangle is..
A) A=6x^2
B) A=7x^2
C) A=12x^2
D) A=7/2 x^2
Answers
Answer: A
Step-by-step explanation:
what is the momentum of a 4100 Kg elephant walking 0.2 m/s?
Answers
Answer:
820 kg·m/s
Step-by-step explanation:
P = mv ⇒ P = (4100×0.2) = 820
use the rules of significant figures to simplify the following expression: 47.5-6.12
Answers
Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The number 6.12 has two digits after the decimal while the number 47.5 has only one digit after the decimal therefore, as per the law of significant figures, to deduct 6.12 from 47.5, we need to put one zero at the end of 47.5.
Also, there are two digits in 47.50 before the decimal while 6.12 has only one, therefore, As per the law of significant figures, one zero will be added before 6.12. Thus, the deduction now can be done as,
4 7 . 5 0
- 0 6 . 1 2
4 1 . 3 8
Hence, Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
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7). A triangular prism has a volume of 16ft!. The area of the triangular base is 8ft. What is the height of the prism?
Answers
The sale price of a backpack is $45.00. This is 75% of the original price.
What was the original price of the backpack?
$33.75
$36.00
$56.25
$60.00
Answers
Answer:
$60.00
Step-by-step explanation:
75% OF X (original price) = $45
.75x = $45
divide both sides by .75 to isolate X
.75 / .75 = $45 / .75
X= $60
Which of the following ratios is equal to 3:9?
Answers
Answer:
1:3
Step-by-step explanation:
You would ultimately reduce the ratio as a fraction.
3/9 reduces to 1/3
Answer:
There are no options, so I'll just give my help
Step-by-step explanation:
3:9 is the same as 1:3 or 6:18, there are unlimited
answers to this question.
1. Multiply or divide the numerator, 3
and the denominator, 9. They have to be multiply by the same number.
Ex: 3:9
3 times 4 is 12
9 times 4 is 36
12/36 is equal to 3:9. Check the answer choices to see
if they are multiplied or divided by the same number. If they are, it is correct. If it isn't, it's not equal.
Hope this helps.
-Angelo.
Alex has two designs to build a chest. In each design, the chest is a rectangular prism.
Chest A has dimensions of 5 feet ×3 feet ×214 feet
5
feet
×
3
feet
×
2
1
4
feet
.
Chest B has dimensions of 4 feet ×312 feet ×3 feet
4
feet
×
3
1
2
feet
×
3
feet
.
Part A
How much space does each chest hold? Include units in your answers.
Answers
We need volumes
#Chest A
V=LBH
5(3)(214)3210ft³#Chest B
V:-
4(312)(3)3744ft³Answer:
See below ~
Step-by-step explanation:
Chest A
V = 5 x 3 x 214V = 1070 x 3V = 3,210 ft³Chest B
V = 4 x 3 x 312 V = 1248 x 3V = 3,744 ft³⇒ Chest B has more space than Chest A
⇒ Hope it helps ~
• 2) During a recent survey of 10,000 students at college: 6854 have a laptop, 3476 have a tablet, and 2163 have both a laptop and a tablet.
1: how many students do not have a tablet?
2: how many students have a mobile computing device (laptop or tablet)?
Answers
Answer:
6854 do not have a tablet
2163 have a mobile computing device
Step-by-step explanation:
You just have to read it.
A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.
Car Speed
(miles per hour)
1 67
2 74
3 85
4 80
5 74
6 82
What is the mean of the cars' speeds?
Answers
Mean is average.
Add the speeds together and divide by number of cars:
67 + 74 + 85 + 80 + 74 + 82 = 462
462/6 = 77
Mean = 77 miles per hour
help please . . . .
Answers
Answer:
Your answer is A.
Step-by-step explanation:
Looking at the graphing two-equation: y = x^3 -3 and y = x^2+6 are up there, it can help us determine the limit of domain.
The dot is the x<=2 for equation y=x^3-3.
The circle is x>2 for equation y=x^2+6
Pepe is putting up a fence in his backyard to enclose a garden in form of a triangle. The garden
already has sides enclosed with eight feet and five feet of fence, respectively. What can you say
about the length of the third side?
A
The side needs a fence that is shorter than 8 ft. but not necessarily longer than 5 ft.
The side needs a fence that is longer than 3 ft. and shorter than 13 ft.
C
The side needs exactly 8 ft. of fence.
The side needs exactly 11 ft. of fence.
D
Answers
Answer:
We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:
z < x + y
z > x - y
Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:
x + y = 13
x - y = 3
Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.
Step-by-step explanation:
What is the equation of this graph?
Answers
Answer:g(x) = f(x) + 1.5
Step-by-step explanation:g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5
Box A has a volume of 64 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B? 128 m3 8 m3 32 m3 16 m3
Answers
The final statement is: The volume of box be is equal to 8 m³
What is a volume in math?Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given here: Volume of Box A= 64 m³
Let the dimensions of box be a each
Then we have dimensions of box b are a/2 each
Therefore volume of box b is = a/2×a/2×a/2
=a³/8
= 64/8
=8
Hence, The volume of box be is equal to 8 m³
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Find the sum and product of the complex numbers 4-3 i and - 4 + 5 i
Answers
Step-by-step explanation:
Sum
(4-3i)+(-4+5i)
=4-4-3i+5i
=0+2i
=2i
Product
(4-3i)(-4+5i)
=4(-4)-3i(-4)+4(5i)-3i(5i)
=(-16)+7i+20i-15i²
-16+27i-15(-1) [i²=(-1)]
=27i-16+15
=27i-1
=(-1+27i)
I hope it helped you
Please help and show detailed workings for the answers . Tq
Answers
Answer:
Below,
Step-by-step explanation:
(a) f is not defined when x = 2 because this would make the denominator = zero.
(i) f-1 is the inverse of f.
Let y = (x + 1)/(x - 2)
y(x - 2) = x + 1
xy - 2y = x + 1
xy - x = 2y + 1
x(y - 1) = 2y + 1
x = (2y +1)/(y - 1)
Replace x by f-1 and y by x , we get:
f-1 = (2x+ 1)(x - 1)
(ii) f-1 is not defined when x = 1 , as this makes the denominator zero.