Answer:
About 28.27 inches² per slice
Step-by-step explanation:
First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.
24-inch diameter / 2 = 12-inch radius
A=πr²
A=π(12)²
A ≈ 452.39 inches²
Now, since the pizza is cut into 16 slices, we will divide the total area by 16.
452.39 inches² / 16 ≈ 28.27 inches² per slice
You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal
Answer:
P = $1,064.79
Step-by-step explanation:
the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79
Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?
The amount of orange that Manny and Josh have leftover after eating lunch is 1.
What are fractions?A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below
How much orange is leftover?Oranges Manny has left = 1 - 4/9 = 5/9
Oranges Josh has left = 1 - 5/9 = 4/9
Oranges they both have left = 5/9 + 4/9 = 1
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
Which is the algebraic representative for a rotation 180 degrees clockwise?
Answer:
algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation
Step-by-step explanation:
hope this helps
have an awesome day -TJ
(3.1×10^7)(5.8×10^−4) in scientific notation
Answer:
[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]
which of the following fractions is NOT equivalent to the others?
A. 24/36
B. 8/12
C. 12/16
D. 4/6
Answer:
C
Step-by-step explanation:
Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.
A. 24/36 = 2/3 (LCF of 12)
B. 8/12 = 2/3 (LCF of 4)
C. 12/16 = 3/4 (LCF of 4)
D. 4/6 = 2/3 (LCF of 2)
Answer:
C
Step-by-step explanation:
if you convert all of the fractions into decimal form the only answer that is not .6667 is c
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Cone:
radius r = 4 inches
height h = 18 inches
volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³
Cylinder:
r = 4 inches
h = 3 inches
volume = πr²h = (3.14)(4²)(3) = 904.32 cm³
Volume of cylinder is three times the volume of cone
Can someone help with me
Answer:
yes your answer is 45 degree
Answer:
105°
Step-by-step explanation:
There 360° in a circle, so...
360°-150°-105°=105°
check: 150°+105°+105°= 360°
[Answer] 105°
Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2
Please help will give brainlest! locks in 30 min!
Answer:
1
Step-by-step explanation:
[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]
The question wants in radian, not in degrees since using the unit circle. Hope this helps
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.
Which statements are correct?
Select each correct answer.
The heights of the Warriors’ players vary more than do the Panthers’ heights.
The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.
The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8
Answer:
1 and 3
Step-by-step explanation:
Answer:
The heights of the buffaloes’ players vary more than do the warriors’ heights.
The heights of the buffaloes’ players and those of the panthers vary about the same.
Step-by-step explanation:
credit to km1329 in a comment
Can someone please help me with this
Definition of a trapezoid: a quadrilateral with one pair of parallel sides
Thus PQRS is a trapezium because Line PQ is parallel to line SR
Hope that helps!
solve pls brainliest
Answer:
2n+22
Step-by-step explanation:
22 more than twice a number
n represents the number.
twice a number --> 2n
22 more than --> +22
2n+22
Hey there!
Guide:
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <
• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.
ANYWAYS, LETS ANSWER the QUESTION
“22 more than 2 twice a number”
• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!
“22 MORE THAN twice a NUMBER”
This could be simply written as:
“22 > 2n” or even “2n + 22”
But we will just say that’s [2n + 22] would mostly fit this scenario
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?
A-80
B-100
C-112
D-125
The length of the dilated line segment is 80 units.
What is dilation?Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]
The length of the dilated line segment is 80 units.
Find out more on dilation at: https://brainly.com/question/10253650
what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]
Answer:
The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38
Step-by-step explanation:
Let us consider θ = 22.5 º
Therefore, sin2θ = [(1− cos 2θ) / 2] -------(1)
If θ = 22.5° then 2θ is 45°.
On substituting the value of θ in equation (1), we get
sin2 22.5° = [(1− cos (2 × 22.5°)) / 2]
sin2 22.5° = [(1− cos 45°) / 2]
sin2 22.5°= [ [1 - (1 / √2)] / 2 ]
sin2 22.5°= (2 - √2) / 4 [ on simplifying the above RHS value ]
sin 22.5° = [√(2 - √2) / 2]
After substituting the value of √2 as 1.414 in the above equation, we get
sin 22.5°= 0.38
40% of 400- how to solve please (thanks
Step-by-step explanation:
What is 40% of 400?
Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160HELPPPPPPP URGENT :L
Answer:
17.5
Step-by-step explanation:
The area for a triangle is (base*height)/2 this means
(5*7)/2 = 17.5 units^2
Answer:
Step-by-step explanation:
base = b = 5 units
height = h = 7 units
[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]
[tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]
A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer:
34? Idek
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
Solve the equation k^2-6k=11 by completing the square
Answer:
k = ±2√5 + 3
Step-by-step explanation:
k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]
Step-by-step explanation:
[tex]k^2-6k=11[/tex]
_______________________________________________
Add one term in order to complete the square[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]
________________________________________________
Calculate[tex]k^2-6k+3^2=11+3^2[/tex]
_________________________________________________
Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex][tex](k-3)^2=11+3^2[/tex]
__________________________________________________
Calculate the power[tex](k-3)^2=11+9[/tex]
___________________________________________________
Calculate the sum or difference[tex](k-3)^2=20[/tex]
______________________________________________________
Split into two equations[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]
________________________________________________________
Move variables to the left side of the equation:[tex](k-3=\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]
____________________________________________________
Move variables to the left side of the equation:[tex](k-3=-\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
So far:[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
Find the union of the solutions[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
I hope this helps you
:)
A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches×10 inches. What is the area of the figure?
Group of answer choices
132.5 in²
133.5
131.5
130.5
[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]
[tex]\sf are a \ of \ rectangle : Length * Width[/tex]
total area :
[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]
[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]
[tex]\rightarrow \sf 132.5 \ in^2[/tex]
malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?
Answer: $8 , $8.25
Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )
6x + 4 - 8x + 9(4 - x)
-
Answer:
6x - 8x + 4 + 36 - 9x
= 40 - 11x
Select the set of equations that is NOT equivalent to 8k = 20
PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.
What is the volume of the snowball?
How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?
Answer:
Volume: 37.7cm3
It will melt in 21 minutes.
Step-by-step explanation:
Volume of a sphere: 4/3 x pi x r^2
4/3 X pi x 3^2 = 37.7cm3
37.7/1.8=20.943 minutes
Triangle ABC is graphed. (image included)
1) Transform triangle ABC using the rule (x,y) → (-x,y)
2) Describe the transformation precisely.
Answer:
see attachedthe figure is reflected in the y-axisStep-by-step explanation:
1.The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.
__
2.The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.
The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.
The cost of 1kg of coal mined from the ore is $0.0397
Data;
1 ton = $35.991kg = ?The Cost of 1kg of CoalTo find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.
[tex]1ton = 907kg\\[/tex]
let's write this and equate it
1 ton = $35.99
907kg = $35.99
1kg = x
Let's cross multiply both sides and solve for x
[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]
The cost of 1kg of coal is $0.0397
Learn more on proportions here;
https://brainly.com/question/870035
someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8
Answer:
B. Square root of 48
Step-by-step explanation:
Using Pythagorean theorem. A^2 = B^2 + C^2
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = square root of 48
») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13
Answer:
Five feet
Step-by-step explanation:
H = A ÷ L
H = 65 ÷ 13
H = 5 ft
What the answer rate you 5 star
Answer:
This is a net
Step-by-step explanation:
Good Luck!!