find the surface area of each figure (spheres and hemispheres)
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l
Step-by-step explanation:
all working is above
hope that helps
If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.
Answer:
1 degree
Step-by-step explanation:
because a circle is 360 degrees
Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?
Answer: 25% decrease
Step-by-step explanation:
80 - 60
----------- = 20/80 = 1/4 OR 25%
80
Hope this helped :)
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
Express tan(-310°) as a function of a positive acute angle in
terms of tan x
guessing
360 - 310 = 50
-tan(50)
Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.
Answer:
11 5/18 ft squared
Step-by-step explanation:
because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is
A = Length × Width
so now we plug in the numbers.
A = (4 5/6) × (2 1/3)
I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.
A = (29/6) × (7/3)
A = 203/18 ft squared
In the answer section, the numbers look different because I converted my 203/18 into a mixed number.
A = 203/18 = 11 5/18 ft squared
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answer:
Aisha would pay 21 dollars for 8 slices.
Equation 2x(x=number of slices)+5
Step-by-step explanation:
Solve the inequality
J+7>3j-4
Answer:
E. j<5.5
Step-by-step explanation:
Step by step explanation
Find the surface area of the triangular prism.
Answer: 125.6
Step-by-step explanation:
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xIn the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance
Answer:
BR is about 7.3084 cm
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24
since I want BR, I will use cos (adj/hyp)
cos24=s/8
.9135=s/8
7.3084=s
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
please helpp me with this assignment
Please Help Me!
*Question Is Below Here*
Answer:
21
Step-by-step explanation:
2^3=8
7x6=42
42x8=336
336/ (10.6+5.4)
336/ 16= 21
Answer 21
Matthew thought the price of a game was $40. When he got to the store the price
was $60. Calculate the percent error.
Answer:
It is 20%
Step-by-step explanation:
$60 - $40 = $20
The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000
Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?
Answer:
8.6 years
Step-by-step explanation:
Please help me with this
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths
Answer: the shape is a rectangle
Step-by-step explanation:
Answer:
Rectangle :)
Step-by-step explanation:
Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)
the standard form of a quadratic formula is
y = ax^2 + bx + c
in this case you will solve using foil method
(× - 4)(x + 3)
(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))
x^2 + 3x - 4x -12
x^2 - x - 12
therefore
y = x^2- x - 12
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
How many tryouts weighed MORE THAN 450 grams?
Answer:
11
Step-by-step explanation:
Basically count each doubt that is on the number line with a value greater than 450
Answer:
11 trouts
Step-by-step explanation:
Count the dots that are after the 450-gram mark.
Trouts that weigh 452 = 5
Trouts that weigh 454 = 2
Trouts that weigh 456 = 2
Trouts that weigh 458 = 1
Trouts that weigh 460 = 1
Then, add everything up.
5 + 2 + 2 + 1 + 1 = 11
So, 11 trouts weigh more than 450 grams.
Have a wonderful day!
Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
9514 1404 393
Answer:
4) ΔEFG ~ ΔECD
6) Not Similar
Step-by-step explanation:
4) Shortest to longest sides are ...
EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)
EC : CD : DE = 7 : 8 : 10
The triangles have the same side length ratios, so are similar.
ΔEFT ~ ΔECD
__
6) Shortest to longest, the given sides have ratios ...
UT : TV = 71 : 84 (reduced)
GT : TH = 60 : 72 = 5 : 6 (reduced)
The side ratios are different, so the triangles are NOT SIMILAR.
Answer:
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
Write the algebraic expression that matches each graph:
Answer:
follow me and I will answer it
Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5
Answer:
A=-4, b=1
Step-by-step explanation:
add those two function together u will got:
a+b+(a-b)=-3+(-5)
2a=-8
A=-4
-4+b=-3
B=1
Need some help with this soon!
Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
On a piece of graph paper, graph the line that passes through point (-2,3) with a slope of 2/3. Give me the coordinates of a first quadrant point that lies on this line, and has integer coordinates.
Answer:
Pic po nasan???????Step-by-step explanation:
-_-