Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
John buys a pizza that has an 8-inch diameter and is cut into 12 congruent slices. What is the length of the outer
edge of any one slice of pizza, in inches?
Answer:
D. 2/3π inch
Step-by-step explanation:
360°/12=30° each slice of pizza is 30°.since they are all congruent:
c= 2πr*30°/360°
c=2(4)π* 1/12
c=8π/12
c=2/3π inch
The length of the outer edge of any one slice of the pizza is 2.09 inches
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
What is Diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
What is Sector of a circle ?A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Given,
Diameter of the pizza = 8 inches
Number of slices =12
We know that,
A circle has a total of 360 degrees all the way around the center
Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees
Length of the outer edge of any one slice of pizza = Length of the arc of the sector
Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]
Arc length = 2.09 inches
Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches
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From the set {20, 30, 35}, use substitution to determine which value of x makes the inequality true. x - 5 > 25 A. 30 B. 20 C. none of these D. 35
Answer:
D. 35
Step-by-step explanation:
20-5>25 = 20>25 incorrect
30-5>25 = 25>25 incorrect
35-5>25 = 20>25 correct
Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа
Oь
n
a
Ос
6
750
d
g
Answer:
d
Step-by-step explanation:
Please help me I have a lot of hw please 11=f-16
Answer:
f = 27
Step-by-step explanation:
11 = f - 16
Add 16 to both sides.
11 + 16 = f - 16 + 16
27 = f
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
1) x2 + 5x + 6
2) x2 + 9x + 20
3) x2 - x+6
4) x2 + 3x - 2
5) x2 – 36
6) 9x? - 25
7) x + x - 42
8) x2 + 7x-12
Please help, I’m struggling
Answer:
Step-by-step explanation:
x2+12w
Image attached: finding geometric mean
Answer:
I think it's A
What is the domain of the function?
o all real numbers x
o all positive real numbers x
o all negative real numbers x
o all real numbers x, except x=o
Answer:
The correct answer is all real numbers x, except x=o.
Step-by-step explanation:
To calculate the domain, we will "remove" from the equation those values that make it impossible to perform any mathematical operation.
In a rational function the denominator must be different from zero, since we need a set of values that do not cancel the denominator.
That is why the domain can include any real number, except 0. Remember that real numbers are any number that corresponds to a point on the real line and can be classified into natural, integers, rational and irrational numbers. In other words, any real number is between minus infinity and infinity and we can represent it on the real line.
Answer:
D. all real numbers x, except x=0
Step-by-step explanation:
edge 2020
PLEASE HURRY! :(
Find the surface area of a square pyramid where the length of a side of the base is 10 cm and the slant height of the pyramid is 16 cm.
Answer:
420
Step-by-step explanation:
First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.
The surface area of the pyramid is 178.9 square centimeter.
We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .
We have to find the Surface area of the pyramid.
What is the formula to find the surface area of the pyramid with base edge = L, base width = w and pyramid height = h?The formula is -
[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]
Now, firstly find the height of the pyramid - using the Pythagoras theorem-
[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]
h = 15.19 cm
Substituting the value of height in the formula of surface area -
S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.
Hence, the surface area of the pyramid is 178.9 square centimeter.
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Simplify the expression 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5) =
= 5/9 * 5/5 - 4/5 * 9/9
= 25/45 - 36/45
= -11/45
4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have
to search a circular area based on how fast Mike walks. He has been missing for 12 hours and his estimated
speed is 4 km per hour. Determine the surface area of the circle to be searched.
Answer:
Step-by-step explanation:
Distance traveled by Mike in 12 hours = 4 * 12 = 48 km
This will become the radius of the circle
r = 48 km
Area of the circle to be searched = πr²
= 3.14 * 48 * 48
= 7234.56 square km
Write an equation that expresses the relationship. Then solve the equation for u. B varies directly as the cube of t and inversely as u
Answer:
Below
Step-by-step explanation:
B varies directly with the cube of t so:
● B = t^3
B varies inversly as u
● B = 1/u
Let's solve the equation for u:
B= 1/u = t^3
● B= 1/u
Switch u and B
● u = 1/B = 1/t^3
If u is 1 then b and t are also 1.
calculate the radius and diameter of the circle
Answer:
radius is 12, diameter is 24
Step-by-step explanation:
it is a 15-12-9 triangle
What is the value of 5 to the power of 4 over 5 to the power of 6? 1 over 25 1 over 5 5 25
Answer:
1/25
Step-by-step explanation:
[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]
is 12/4 rational or irrational
Answer:
rational
Step-by-step explanation:
The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.
What is the length of the hypotenuse in the right triangle shown below?
Answer:
A. 6 √2
Step-by-step explanation:
If a triangle is a 45-45-90 triangle then,
Theorem 5-13: If each acute angle of a right triangle has a measure of
45 degrees, then the measure of the hypotenuse is the square root of two times as long as a leg (45, 45, 90 Theorem).
so the hypotenuse is x√2, and x = 6 (side length)
eighty-four hundredths in standard form
Answer:
.84
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
.84
▹ Step-by-Step Explanation
The hundreths place is 2 decimal places so..
.84
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
[tex]5 \frac{1}{3}[/tex] degrees per hour.
Step-by-step explanation:
If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.
[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]
[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]
[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].
So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex] degrees per hour.
Hope this helped!
Answer:
5 1/3
Step-by-step explanation:
Can anyone help with this thanks guys!
Answer:
450m squared
Step-by-step explanation:
bc my last answer was wrong (:
Answer:
450 m²
Step-by-step explanation:
The formula for area of a rectangle is A = lw. You are given the length (30 m) and the width (15 m). Plug in the numbers and solve for A.
A = lw
A = (30 m)(15 m)
A = 450 m²
The area of the rectangle is 450 m².
Which expression can be used to find the surface area of the following triangular prism?
Answer:
132 cm^2
Step-by-step explanation:
Area of the two triangles + Area of the three triangles
2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2
The rules used in my answer are:
Area of the ∆ are Half x Base x HeightArea of the rectangle Length x WidthWhich of the following verifies that AABC is similar to A DEF?
Answer:
D
Step-by-step explanation:
According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.
The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.
A is incorrect because the similarity can be determined.
(03.03) Match the number with its opposite.
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Step-by-step explanation:
If your value is a positive, make it a negative
Ex. 3-->-3
If your answer is a negative, make it a positive
Ex. -3-->3
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?
Answer:
1. 3 + 4x
2. 8/ x-y
3. X/2y
4. Four times a number m
5 let m represent months
30 + 12m
At the age of 8, Roger received an inheritance of $5,000. His father invested the money in an account bearing 6% annual interest. How long will it take for this inheritance to double in value? Round your answer to 2 decimal places.
Answer:
16.66 years
Step-by-step explanation:
100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way
It will take 33.33 years to double his money.
We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.
We have to find out how long it would take for this inheritance to double in value.
What is the formula to calculate the Simple Interest on the given amount of principal money ?The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -
[tex]SI =\frac{x \times r \times t}{100}[/tex]
In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]
Hence, the equation becomes -
[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]
t = 33.33 years
Hence, it will take 33.33 years to double his money.
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Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters
Answer: C. 35 square centimeters
Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.
Answer:
correct answer is 49
Step-by-step explanation:
i used the formula for surface area
SA=2B+LA(surface area=2*the base+ lateral area)
please help with this too
Answer:
Step-by-step explanation:
Garden roller is in the shape of cylinder.
So, one revolution = Curved surface area of the cylinder
diameter = 70 cm
radius = 70/2 = 35 cm
h = 100 cm
Curved surface area of the cylinder = 2πrh
= [tex]2*\frac{22}{7}*35*100[/tex]
= 22000 square cm
Area covered in 15 revolutions = 15 * 22000
= 330000 square cm
2) Coin
diameter = 22 mm
r = 22/2 = 11 mm
Volume of coin = 66 mm
πr²h = 66
[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]
What is the mean absolute deviation of the data set {30,33,36,34,52}?
Answer:
6
Step-by-step explanation:
I took the test and got 100%
I hope i helped and that i get brainliest :P
Answer:
Step-by-step explanation:
1)To find the mean absolute deviation of the data, start by finding the mean of the data set.
2)Find the sum of the data values, and divide the sum by the number of data values.
3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4)Find the sum of the absolute values of the differences.
5)Divide the sum of the absolute values of the differences by the number of data values.
2/3% as a fraction pls i need to know thx
Answer:
Hey there!
2/3% is basically 2/3's of 1 percent.
Thus, as a fraction we get 2/300.
Hope this helps :)
Answer:
1/150
Step-by-step explanation:
2/3%
We know that 1% = 1/100
2/3% = (2/3)/100
2/3% = 2/(3 × 100)
2/3% = 2/300
2/3% = 1/150
Help Help Help ! Math wiz
Answer:
This is not an exponential function because the variable is in the exponent position.
Solve for x in the diagram below.
Answer:
x= 20
Step-by-step explanation:
The three angles add to 90 degrees
x+2x+x+10 = 90
Combine like terms
4x+10 = 90
Subtract 10 from each side
4x +10-10 = 90-10
4x = 80
Divide by 4
4x/4 = 80/4
x = 20
Answer:
x = 20
Step-by-step explanation:
The three angles are complementary to each other.
That means they add up to 90 degrees.
x + 2x + (x + 10) = 90
Combine like terms.
4x + 10 = 90
Subtract 10 on both sides.
4x = 80
Divide both sides by 4.
x = 20