Answer:
Perimeter of pizza slice = 27.85 inches (Approx.)
Step-by-step explanation:
Given:
Diameter of pizza = 20 inches
So,
Radius of pizza slice = Diameter of pizza / 2
Radius of pizza slice = 20 / 2 = 10 inches
∠IPZ = 45°
Find:
Perimeter of pizza slice
Computation:
Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]
Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]
Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]
Perimeter of pizza slice = 20 + [0.125][62.8]
Perimeter of pizza slice = 20 + 7.85
Perimeter of pizza slice = 27.85 inches (Approx.)
The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we're given that:
Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inchesNot using the above formula, but the concept, we know that:
360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).Since diameter of pizza = 20 inches, its radius r = 10 inches.
Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]
Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP
Since line IP and ZP are radius, thus:
Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.
Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
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Find the value of x.
Answer:
1
Step-by-step explanation:
75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?
Answer:
46655
Step-by-step explanation:
[tex]75250 \cdot \frac{62}{100} = 46655[/tex]
What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.
Answer:
B
Step-by-step explanation:
add 7 to get away the 7 on the left hand side
square both side to eliminate square root
The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
What are radical?A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.
In order to solve the given radical, we will go through the following steps,
[tex]\sqrt{x+3}-7=15[/tex]
1. Add 7 both the sides to eliminate -7 from both the sides,
[tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]
2. Square both the sides to remove the square root,
[tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]
Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
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Please help with number 6 and 7. Real answers please!! Help me soon as posible.
Answer:
b
Step-by-step explanation:
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Please helpp
How much money would you have after 7 years if you invested $12,000 at 2% compounded annually?
Answer:
13,784
Step-by-step explanation:
HURRY PLEASE I DONT WANT TO FAIL
Answer: 62
Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.
The U.S. Department of Labor reports that the average prices for a dozen eggs in the month of May for the past 11 years are as follows: $1.19, $1.21, $1.50, $1.93, $1.50, $1.52, $1.69, $1.69, $1.87, $2.00, $1.96 Round to the nearest hundredth (cent) if necessary. The mean price of eggs over this 11-year period is The median price of eggs over this 11 -year period is
Answer:
Mean price of eggs = $1.64
Median price of eggs = $1.69
Step-by-step explanation:
Mean is the average of the given data
Mean = sum of data/sample size
Sum of data = 1.19+1.21+1.50+1.93+1.50+1.52+1.69+1.69+1.87+2.00+1.96
Sum of data = $18.06
Sample size = 11
Mean price of eggs =18.06/11
Mean price of eggs = $1.64
Hence the mean price of eggs over this 11-year period is $1.64
Median is the price in the middle after rearrangement
Rearranging the data
1.19, 1.21, 1.50, 1.50, 1.52,) 1.69, (1.69, 1.87, 1.93, 1.96, 2.00
Since 1.69 falls in the middle after rearranging;
Hence the median price of eggs over this 11 -year period is $1.69
A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?
S = (12),(7)
S = 2π ,, times,,,6,, times,,,7
S = 2π ,, times,,,12,, times,,,7
S = (2π ,, times,,,6,, times,,,7) + (2π ,, times,,,6
Answer:
S = 2π,, times,,,6,, times,,,7
pls dont put links or I'll report ty
x < 9
_
Step-by-step explanation:
I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.
NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of 175.25 for each ton of sugar. The second company charges $5696 to rent trucks plus an additional fee of 225.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Answer:
14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Help me on this I have no idea how to do this
Answer:
i also don't have the idea
The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?
Answer:
Graph D is correct
Step-by-step explanation:
This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.
Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
She also wants to buy some bracelets for $9.50 each. How many bracelets can she buy
without going over?
Answer:
4
Step-by-step explanation:
She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!
Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.
Answer:
17.39%.
Step-by-step explanation:
As a percentage (rounded to two decimal places):
A decrease of 17.39%.
Find the area of the triangle shown above
Answer:
the area is 32 square inches
Step-by-step explanation:
you multiply both sides that have 9 because they are equal and then you add the 14 on
Answer:
63 Inches
Step-by-step explanation:
The formula for finding the area of a triangle is:
(b*h)/2
First, let's plug in the values.
(14*9)/2
Simplify...
126/2
Divide the two which gives us:
63
Therefore, the answer is:
63 Inches.
Hope this helps!
Write an equation for the line, in point slope form given the following information
Slope = 1/4 contains the point (8,-3)
Answer:
y+3=1/4(x-8)
simplified -> y+3=1/4x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1/4(x-8)
y+3=1/4(x-8)
If you want it to be further simplified
y+3=1/4x-2
No links please!
If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?
Answer:
630/x+5 (remainder over divisor)
What is the solution to the equation 3 + 4 sqr root 4y = 4?
Answer:
1/64
Step-by-step explanation:
Given the expression
3+4√4y = 4
4√4y = 4-3
4√4y = 1
√4y = 1/4
Square both sides
(√4y)²= (1/4)²
4y = 1/16
y = 1/16 * 1/4
y = 1/64
Hence the value of y is 1/64
It takes Michael 4 minutes to fill 7 buckets with water. Calculate the unit rate of buckets per minute.
Rectangle PQRS is rotated 90° counterclockwise about the origin.
Answer:
Can you please provide more information about the rectangle? Do you have a graph or some points?
Answer:c
Step-by-step explanation:
To the nearest cm, what is the circumference? EZ POINTS
Answer:
95.2
Step-by-step explanation:
C=pi*d
C=3.14*30
C=95.2
Answer:
95.2 :)
Step-by-step explanation:
I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW
Answer: Function A= (0,8)
Function B= (0,2)
{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)
I didn’t do the last one I’m sorry
Step-by-step explanation:
In the equation, y = mx + b, what does the "b" represent? *
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS
Answer: 24 inches
Step-by-step explanation:
Let the radius be represented by x
Therefore, the height will be = 2×x = 2x
Volume of a cylinder = πr²h
where, Volume = 3500
π = 3.14
r = x
h = 2x
We then slot in the values into the formula
Volume = πr²h
3500 = 3.14 × x² × 2x
3500 = 3.14 × 2x²
2x² = 3500 / 3.14
2x² = 1114.65
Divide through by 2
x² = 1114.65 / 2
x² = 557
x = ✓557
x = 23.6 = 24 approximately
The radius is 24 inches
8 Which numbers from this list are less than -0.94?
15
0.24, -2.23, 97%
6, -25,-0.95
16
F
15
- 2.23, and -0.95
16'
15:
6 -2.23, -2, and
and -0.95
H 0.24,
15
and -0.95
16
J
15
16
0.24, and -2.23
+
Answer:
-0.95, -2, -2.23, -25
Step-by-step explanation:
All you have to do is look at the sign of each number and see whether it's less than -0.94.
What is the slope of the line?
Answer:
2
Step-by-step explanation:
To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂
(-6,4); (6-5)
Slope
Giving branliaist answer to the best one
what is the value of d?
a and b are positive integers and a-b=2. Evaluate the following:
9^1/2b/3^a
Answer:
[tex] \frac{1}{ 9 }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]
The evaluation of the expression 9^((1/2)b)/3^a is 1/9
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
Now, for this case, we are given that:
a - b = 2
The expression is:
[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]
Since we know that [tex]3^2 = 9[/tex], thus:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]
Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]
Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9
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What is the length of AD??
Answer:
d
Step-by-step explanation:
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