WZ = 5.3 km, find the area of the shaded sectors to the nearest tenth. Please help
Answers
Answer: The area of the shaded sectors is 35.3 square kilometres
Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is 5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;
WZX + YZX = 180
108 + YZX = 180
Subtract 180 from both sides of the equation
YZX = 72°
Therefore the area of shaded sector YZX is given as;
Area of a sector = (∅/360) x πr²
Where ∅ is 72, and r is 5.3
Area of sector = (72/360) x 3.14 x 5.3²
Area of sector = 0.2 x 3.14 x 28.09
Area of sector = 17.64
Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)
The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)
Answer:
Area of the shaded region ≈ 35.3 km²
Step-by-step explanation:
Area of a sector = ∅/360 × πr²
angle on a straight line = 180°
Therefore,
∠vzw = 180 - 108 = 72°
∠yzx = 180 - 108 = 72°
Area = 72 /360 × 22/7 × 5.3²
Area = 72 /360 × 22/7 × 28.09
Area = 44494.56/2520
Area = 17.656571429
Area = 17.66 km²
The area is one portion of the shaded part , the area of the 2 shaded sector will be
Area of zvw + Area of zyx
Both area are same . They have same radius and the same angle.
Area of the shaded region = 17.66 + 17.66
Area of the shaded region ≈ 35.3 km²
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Add the three factors and divide by three.
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Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?
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Answer:
24
Step-by-step explanation:
To get your answer, you need to multiply 1.5 and 6.
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I hope this helps you! Good Luck!Evaluate each expression
Use the values a = 5 and b = 3
3(a+b)
(a+b)-7
4(2a+b)
6( a- b )+5
( a + b) ( a -b )
(2a + b ) (2a - b)
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Answers
Answer:
Answers are all the way to the right
Step-by-step explanation:
3(a+b) 3(5 + 3) 3(8) 24
(a+b)-7 (5 + 3) - 7 8 - 7 1
4(2a+b) 4(2*5 + 3) 4(10 + 3) 4(13) 52
6( a- b )+5 6(5 - 3) + 5 6(2) + 5 12 + 5 17
( a + b) ( a -b ) (5 + 3)(5 - 3) 8(2) 16
(2a + b ) (2a - b) (2*5 + 3)(2*5 - 3) (10 + 3)(10-3) 13(7) 91
3 ( b + a ) 3(3 + 5) 3(8) 24
4 (b + 2a) 4(3 + 2*5) 4(3 + 10) 4(13) 52
If these answers are correct, please make me Brainliest!
24
1
52
17
16
91
24
52
If you need explanation, let me know
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Video Rental Fines
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a.
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c.
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d.
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Answer:
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Step-by-step explanation:
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C
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For each statement determine if it is True or False for the graph of 6x – 3y = 21.
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A).Yes B).No
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Answers
1. Yes, the x-intercept is 3 1/2
2. Yes, the y-intercept is -7
3. No, the slope is 2
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Write the word sentence as an equation. Then solve.
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Answers
Answer:
p - 6 = -14
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If someone confuses the order, p might be 20, But here I am going to choose p= -8
Step-by-step explanation:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Answer:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Step-by-step explanation:
Hello! I really need help with this problem!
Answers
Answer: No, yes, yes, no, yes, no, yes
Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc
Answer:
e
Step-by-step explanation:
How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?
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move it 4 places to the right
move it 5 places to the left
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Answers
Answer:
move it 4 places to the left
Step-by-step explanation:
10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.
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Answers
Answer:
6
Step-by-step explanation:
1 pint of tea will produce 2 half pints
So since there are 3 pints of tea it will produce 6 half pints of tea
HIGH POINT QUESTION
A shape is rotated 180 degrees about the origin and then its image is reflected in the Y-axis. Describe fully the single transformation that would have the same result as the two transformations described above.
Answers
Answer:
Reflection in the x-axis
Step-by-step explanation:
If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).
If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.
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Answers
Answer:
307.
Step-by-step explanation:
Arithmetic sequence with first term a1 = -2 and common difference d = 1 - -2 = 3
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a104 = -2 + 3(104 - 1)
= -2 + 309
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Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.
Answers
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
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y - 2 = log(20)/log(12)
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Answer:
X=2.5
Step-by-step explanation:
14x +1 =36
14x + 1 =36
- 1 = 36
14x = 35
14x / 2 = 35 / 2
x = 2.5
an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.
Answers
Answer:
75
Step-by-step explanation:
Answer:
5.52
Step-by-step explanation:
this is because if you do
6 * 0.08 it would equal 0.48
then subtract 0.48 from 6
when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?
a. 0
b. 2
c. 4
d. 8
Answers
Answer:4
Step-by-step explanation:
(a(1) = -2
[a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
Answers
The 4th term in the sequence is -17.
To find the 4th term in the sequence defined by the recursive formula [tex]\(a(n) = a(n-1) - 5\)[/tex] with the initial condition [tex]\(a(1) = -2\)[/tex], you can use the recursive formula to compute each term. Let's find the first few terms:
1. [tex]\(a(1) = -2\)[/tex] (given)
2. [tex]\(a(2) = a(1) - 5 = -2 - 5 = -7\)[/tex] (using the recursive formula)
3. [tex]\(a(3) = a(2) - 5 = -7 - 5 = -12\)[/tex] (using the recursive formula)
4. [tex]\(a(4) = a(3) - 5 = -12 - 5 = -17\)[/tex] (using the recursive formula)
The recursive formula tells us how to calculate each term in the sequence based on the previous term. Starting with \(a(1)\), we use the formula to find [tex]\(a(2)\)[/tex], then use [tex]\(a(2)\) to find \(a(3)\)[/tex], and so on.
So, the 4th term [tex](\(a(4)\))[/tex] is found by taking the previous term [tex](\(a(3)\))[/tex], which is -12, and subtracting 5.
Complete the question:
a(1) = -2;
a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
Final answer:
The 4th term in the sequence defined by a(1) = -2 and a(n) = a(n − 1) − 5 is -17, which is found by successively subtracting 5 from the previous term.
Explanation:
To find the 4th term in a sequence where a(1) = -2 and a(n) = a(n − 1) − 5, we will use the recurrence relation to determine each subsequent term:
First term (a(1)) is given as -2.The second term (a(2)) equals a(1) - 5 = -2 - 5 = -7.The third term (a(3)) equals a(2) - 5 = -7 - 5 = -12.The fourth term (a(4)) equals a(3) - 5 = -12 - 5 = -17.Therefore, the 4th term in the sequence is -17.
Determine the volume of the oblique cylinder. Use 3.14 for
π. Round your answer to the nearest tenth. Show all of your work.
Answers
Answer:
602.88 in ^ 3
Step-by-step explanation:
To calculate the volume of a cylinder, is the multiplication of the base area by the height the formula is as follows:
Vc = pi * (r ^ 2) * h
we have the necessary data, the radius equals 4 inches and the height equals 12 inches, replacing:
Vc = 3.14 * (4 ^ 2) * 12
Vc = 602.88 in ^ 3
that is, the volume of the oblique cylinder is 602.88 cubic inches
Answer:
The volume is 602.9in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
To find the volume of the oblique cylinder we use the formula for the volume of a cylinder
V= πr²h
Given data
Radius r = 4in
Height h= 12in
Substituting our given data we have V= πr²h
V=3.14*(4)²*12
V= 3.14*16*12
V= 602.88in³
To the nearest tenth
V= 602.9in³
в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5
Answers
Answer:
A
Step-by-step explanation:
A cylinder with height 9 inches and radius 6 inches. What is the exact volume of the cylinder? Cylinder V=Bh V = 54 pi inches cubed V = 108 pi inches cubed V = 324 pi inches cubed V = 486 pi inches cubed
Answers
Answer:
V=324 pi inches cubed
Step-by-step explanation:
The formula for the volume of a cylinder is πr²h
π(6)²(9)
π(324)
Answer:
c : 324 pi in cubed. on edge 2020
Step-by-step explanation:
Enter the value of the exponential expression 5^0
Answers
Answer:
1
Step-by-step explanation:
whenever something is to the power of 0, it equals 1
Answer quick please.
Answers
Answer:
V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)
Hope this helps!
:)
Answer:
1
Step-by-step explanation:
Evalute the expression. 80 + (8x4) divided by 2
Answers
Answer:
If you meant [80 + (8*4) ]/2, then [80 + (8*4) ]/2=56
or if you meant 80 + [ 8*4 / 2], then 80 + [ 8*4 / 2] = 96
Step-by-step explanation:
Evalute the expression. 80 + (8x4) divided by 2
so do you mean
the whole expression 80 + (8x4) is over 2 ?
If so then:
evaluate 8x4 = 8 * 4 = 32.
so we have 80 + (8x4) is over 2 = (80 + 32)/2 = 112/2 = 56
If you meant 80 + [ 8*4 / 2]
then 80 + [ 8*4 / 2] = 80 + 8*2 = 80 + 16 = 96
After a 35% discount, a book costs 11.21, what is the normal undiscounted price of the book?
Answers
Answer:
$17.25
Step-by-step explanation:
First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price
Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25
The normal undiscounted price of the book is $17.24.
Explanation:To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:
x - 0.35x = 11.21
Simplifying the equation, we get:
0.65x = 11.21
Dividing both sides by 0.65, we find:
x = 11.21 / 0.65
Using a calculator, we get:
x ≈ $17.24
Therefore, the normal undiscounted price of the book is $17.24.
Learn more about calculating undiscounted price here:https://brainly.com/question/16322266
#SPJ3
Jimmy's fishing boat is sailing near the shoreline when a lighthouse on the top of a 250-foot cliff is lit up. If Jimmy's sight line is 400 feet away from the lighthouse, what is the angle of depression from the lighthouse to the fishing
Answers
Answer:
32.0054
Step-by-step explanation:
i think
The angle of depression is approximately 32.01 degrees.
To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.
Steps to solve:
Let θ be the angle of depression.The height of the lighthouse (opposite side) is 250 feet.The distance from the lighthouse to the boat (adjacent side) is 400 feet.Use the tangent function: tan(θ) = opposite / adjacent.Substitute the values: tan(θ) = 250 / 400.Simplify the fraction: tan(θ) = 0.625.Find the angle by taking the arctangent: θ = [tex]tan^{-1}[/tex](0.625).The result is approximately: θ ≈ 32.01 degrees.Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.