Answer : V≈1017.88cm³
- know the formula:
V = πr^2h/3
- plug in
V = π(9^2)(12/3)
V = π(81)(4)
V = 324π
Name:
Unit 7: Polygons & Quadrilaterals
Homework 5: Rhombi and Squares
Per:
Date:
(2.5
CD =
** This is a 2-page document! **
Directions: If each quadrilateral below is a rhombus, find the missing measures.
1. UV = 8 and WX = 5
무 7
2. BC = 28 and BD = 32
TU =
T
WU =_10
TX =
B
(284
FD=_16
EF=_16
EC= _32
8
TV =
112
E
V
28
D
28+32²=c?
784+1024=
1,808=1
U2,5
NK =
K
2
NL =_10
3. MK = 24, JL = 20, and mZMJL = 50°
12 ²+10²=c2
244=c²
20
15.GC
mZKNL =
mZKJL =
mZMLK =
ML =
w
JM = _15.6
mZJKM =
mZJML =
M
L
4. Find PQ.
5. Find mZHGI.
N
P
F
(7x-1)
5x + 16
S
(4x + 3) +
J
R
9x - 32
e
1
H
6. Find mZADB.
7. If mZXYZ = 136°, solve for x.
B
W
X
D
(9x + 4)
(13x - 16)° C
R
Z
(10x-8)
Y
Gina Wilson All Things Alan
Answer:
Step-by-step explanation:
1.
Tu=8
WU=10
Tx=5.65
Tv=11.3
1)TX=XV=√39
2)WX=XU=5
In the given rhombus TUVW
TW=8(Given)
WX=5(Given)
What is a rhombus?A rhombus is a quadrilateral whose four sides all have the same length.
As we know that diagonals of the rhombus intersect at a right angle
So, by Pythagoras' theorem
[tex]TW^2 = TX^2 + WX^2\\8^2=TX^2 + 5^2\\TX = \sqrt{39}[/tex]
We know that the diagonals of a rhombus bisect each other
So XV =√39
Similarly, XU=WX =5.
Therefore, in the given rhombus TUVW
1)TX=XV=√39
2)WX=XU=5
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A 5k marathon is equivalent to how many miles.? (Conversion factor: 1 mile = 1.6 km)
Answer:
3.10686
Step-by-step explanation:
Divide the kilometer by 1.609
9514 1404 393
Answer:
3 1/8 miles
Step-by-step explanation:
Using your conversion factor ...
(5 km) × (1 mi)/(1.6 km) = (5/1.6) mi = 25/8 mi = 3 1/8 mi
A 5k race is about 3 1/8 miles.
_____
Additional comment
That estimate that is high by 0.584%, or 29.2 meters.
The surface area A of a sphere is a function of its radius . The formula below
describes this relationship.
A) = 42
What is the value of A(7), the surface area of a sphere with a radius of 7
units?
A. 7848
B. 285
C. 56
D. 196
40 is 120% of what number
Answer:
If you are using a calculator, simply enter 120×100÷40, which will give you the answer.
Step-by-step explanation:
$490 at 2.1% compounded
quarterly for 6 months
36712 dvided by 52. 43803 dvided by 93
PLEASE HELP ME
12. The graph of y = f(x) is shown.
f(5) = ?
Answer:
4
Step-by-step explanation:
look at the 5 on the x axis and see where the y crosses it
Find the horizontal distance of a soccer ball being kicked at a 40 degree angle with a velocity of 50 feet per second, to the nearest foot
Answer:
77 ft
Step-by-step explanation:
The horizontal distance is the range and it is a projectile motion.
So, range R = u²sin2θ/g where u = velocity = 50 ft/s, g = acceleration due to gravity = 32 ft/s² and θ = projection angle = 40°.
Substituting the values of the variables into the equation, we have
R = u²sin2θ/g
= (50 ft/s)²sin2(40°)/32 ft/s²
= (2500 ft²/s²)sin80°/32 ft/s²
= (2500 ft²/s²) × 0.9848/32 ft/s²
= 2462.02 ft²/s² ÷ 32 ft/s²
= 76.94 ft
≅ 77 ft to the nearest foot
If 2 hours of TV had 40 commercials, how many commercials were in 1/2 hour?
Answer: 10
Since there are 40 commercials in 2 hours you divide 40 by 2 to find out how many commercials there were in one hour. Then divide by two again bc 1/2 hour is 30 minutes and you get 10.
Q3.
Oscar is organising a show.
Visitors to the show choose their seats at random.
There are 350 seats available.
These seats are numbered from 1 to 350
Oscar places a prize under each of the seats numbered 17 to 25
(a) What is the probability that the first visitor chooses a seat with a prize?
The probability that the first visitor chooses a seat with a prize is 0.0229.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, Oscar is organizing a show.
If there is a prize under (25 - 17) + 1 = 9 seats as both 17 and 25 are included and there is a total of 350 chairs,
The probability that the first visitor chooses a seat with a prize is (8/350).
= 4/175.
= 0.0229
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A triangle has side lengths of 12 inches 14 inches, and 18 inches. What best represents the perimeter of the triangle in centimeters? (1 inch ~ 2.54 centimeters)
Answer:
111.76 cm
Step-by-step explanation:
The formula for the perimeter of a triangle is given as:
Side A + Side B + Side C
Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters
Hence:
1 inch ~ 2.54 centimeters
For 12 inches
1 inch = 2.54 cm
12 inches = x
Cross Multiply
x = 12× 2.54 cm
x = 30.48 cm
For 14 inches
1 inch = 2.54 cm
14 inches = x
Cross Multiply
x = 14× 2.54 cm
x = 35.56 cm
For 18 inches
1 inch = 2.54 cm
18 inches = x
Cross Multiply
x = 18× 2.54 cm
x = 45.72 cm
Hence, the perimeter of the triangle
= 30.48 cm + 35.56 cm + 45.72 cm
= 111.76 cm
What is logic? Briefly explain how logic can be useful.
Choose the correct answer below.
A.
Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.
B.
Logic is a set of facts or assumptions used to support a premise. It is useful in quarrels.
C.
Logic is a common fallacy. It is useful in creating other common fallacies.
D.
Logic is a deceptive argument. It is useful in marketing products and creating advertisements.
''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the definition of Logic.
Now, We know that;
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths.
Hence, We get;
''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
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Help Plz
Golden Corral charges $1 for a buffet plus $10 for each drink. Western Sizzlin charges $2 for a buffet plus $8 for each drink. Which restaurant has the best deal?
Write 2 equations to represent the 2 restaurants.
Answer:
Western Sizzlin
Step-by-step explanation:
Because Golden Coral's total rounds to 11 dollars while Western Sizzlin rounds to 10 dollars there for Western Sizzlin is the better deal.
Which equation has a graph parallel to the graph of 9.x + 3y = -22?
Answer:
y = -3x - 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = -22 in the form y = mx+c.
9x+3y = -22
3y = -9x - 22
y = -3x - 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Final answer : y = -3x - 8.3
The equation of the line having the parallel graph will be;
⇒ Y = -3x + 8
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that;
The equation of line is,
⇒ 9x + 3y = - 22
Now,
Since, The general form of the equation of the line:-
⇒ y = mx + b
Where, m = slope
b = y-intercept
And, Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For the parallel lines, the slope of the two lines is always equal.
Here, The given equation will be written as,
⇒ 9x + 3y = -22
⇒ 3y = -9x -22
⇒ y = -3x - (22/3)
Let the equation of the graph is,
⇒ Y = -3x + 8
It has slope = m = dy/dx = - 3
Therefore, the equation of the line having the parallel graph is Y = -3x + 8.
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The complete question is,
Which equation has a graph parallel to the graph of 9x + 3y = -22 ?
A) Y = 3x – 22
B) Y = -3x + 8
C) Y = 1/3x + 12
D) Y = -1/3x – 2
Consider the linear system of equations
2x + 3y + z = -1
3x + 3y + z = 1
2x + 4y + z = 2
b) Solve the system of equations using augmented matrix method
Answer:
x=2, y=3, z=-14
Step-by-step explanation:
You are 25-year-old healthy male and interested in purchasing life insurance. Using the table, determine what
the annual premium for a 20-Year Endowment insurance police, given that the face value of the policy is
$89,753. If need be, round your answer to the nearest cent.
Permanent Insurance
20-Payment 20-Year
Age Whole Life
Life
Endowment
Male Female Male Female Male Fem ale
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 16.91 14.77 29.11 25.96 37.67 35.30
27 17.27 15.23 29.97
26.83 38.23 35.96
28 17.76
15.66
30.68 27.54 38.96 36.44
a. $3,431.26
b. $3,496.78
C. $3.322.66
d. $3,381.00
Answer: b. $3,496.78
Step-by-step explanation:
Based on the table, the annual premium for a 20-Year Endowment insurance policy for a 25-year-old healthy male with a face value of $89,753 is $3,322.66. The correct option is C.
What is annual premium?The total amount paid in a year to keep the life insurance policy in force is referred to as the annualized premium.
A life insurance policy's annualized premium does not include taxes or rider premiums.
A premium is the cost of purchasing an insurance policy. Premiums are the monthly payments you make for many common insurance policies, such as life, auto, business, homeowners, and renters.
To find this answer, we look at the male row in the 20-Year Endowment column and find the value that corresponds to age 25. The value is $37.02. Then, we multiply this value by the face value of the policy ($89,753) and divide by 1,000.
($37.02 * $89,753) / 1,000 = $3,322.66
Therefore, the answer is option C.
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Find the commission on a sale of $8,432 at 1 1/2% commission.
Answer:
5621.33333333
Step-by-step explanation:
This is only the right answer if you are asking how much money 1 1/2 % of 8432 is.
But i think i'm right ^-^
Order the following from LEAST to GREATEST 21% , 3/20 , 25.6% , 2.24 , 0.24
Answer:
Step-by-step explanation:
3/20 21% 0.24 25.6% 2.24
an activity of 8 minutes each is to be performed by 5 students of class one after the other. the activity starts at 11:10 am with a break of 1 minute between two consecutive activities. when would the activity finish?
Answer:
11:54 a.m
Step-by-step explanation:
Given that:
Length of activity = 8 minutes
Number of students = 5
Nreak length between each consecutive activity = 1 minutes
Start time = 11:10 a.m
Total activity time = Length of activity * number of students = (8 * 5) = 40 minutes
Total. Break time = 1 + 1 + 1 + 1 = 4 minutes
Total length of activity = (40 + 4) = 44 minutes
11:10 a.m + 44 minutes = 11:54 a.m
x = 53. What is the value of x ?
The area of a square is 225 square feet. Find the side length of the square.
Answer:
112.5 square feet
Step-by-step explanation:
a square has equal sides so divide 225 by 2
Answer:
The square root of 225. Which is 15
Step-by-step explanation:
A square has sides that are all equal to each other. You find area by multiplying a sidle length by a side length. Therefore multiply 15 by 15 to get 225.
A store is having a sale during which all outdoor furniture is 45% off the original price, p. If the post-sale price of an outdoor furniture set can be calculated using the expression p – 0.45p, which expression also represents the price?
A) 0.45p
B) 0.55p
C) 1 – 0.45p
D) p – 0.55⇒Δ
Answer:
p*0.55
Step-by-step explanation:
Step one:
given data
let the original price be p
let the discounted sale be A
45% of the original price is given as
Step two:
A= p-0.45p
factor p out
A=p(1-0.45)
A= p*0.55
PLEASE HELP MEEE!!!!?????
Answer:
Ummmmmmm
Step-by-step explanation:
Answer:
i think the answer is D becasue if you do the vertical line test the line passes through alot of times
Step-by-step explanation:
The class has 35 children. If they are put into 5 teams, how many
children will be on each team?
Answer:
7
Step-by-step explanation:
ik math and division :)
Answer:
7 children
Step-by-step explanation:
35 / 5 = 7
is -9 greater thank or less than 8
True or False: The diagonals of a trapezoid are always congruent
Answer: i dont know i need points super sorry.
Step-by-step explanation:
fksnfsk;fdlzg:ZDlgMZg;mjgggjzgjm/z;lm,bgbgnnhnxnhnfhbfxnnhnhnhn
2.37 as a decimal number rounded to the nearest thousandth
3. Which represents the problem below?
Mike has 4 brothers. Donna has 2 more brothers than Mike.
4-2
O 4: 2
7
2x4
4+2
Answer:
4+2
Step-by-step explanation:
2 more brothers mean +2
I need help on 10 I don’t get it please help me
9514 1404 393
Answer:
B7 formula: =AVERAGE(B3:B6)
B8 formula: =B1*B2*B7
Step-by-step explanation:
There are two parts to finding the answer to the questions posed. (1) You need to understand what you are being asked to calculate. (2) You need to know how to write that calculation as a spreadsheet formula.
It is beyond the scope of this answer to give a tutorial in spreadsheets. Many web sites, videos, books, and other help sources are available to teach you how to open and use a spreadsheet. Presumably, you've been given an introduction in your class.
_____
a) The problem statement tells you that cell B7 contains the average of the values in cells B3 to B6.
The AVERAGE function will compute the average of a range of cells. It can be used in cell B7 to compute the average of the values in cells B3 to B6. The formula would generally be written ...
=AVERAGE(B3:B6)
__
b) Problem 10 doesn't tell you explicitly what the pension formula is. We have to assume that it is similar to the formulas described in problems 8 and 9. That is, it is the product of a percentage, years worked, and the average of some number of salaries. In problem 10, the average is of 4 salaries.
The value in B8 will be the product of the pension credit percentage per year worked, the number of years worked, and the average of the last 4 years' salaries. Those values are in cells B1, B2, and B7, so the formula is written ...
= B1*B2*B7
_____
The attachment shows the spreadsheet with the numbers from problem 8. The formula bar shows the formula for the selected cell, B8.
What is the x-coordinate of the image when M(4, -1) is reflected in y = 3.
Answer:
4
Step-by-step explanation:
y=3 is a horizontal line, so it will not affect the x coordinate.
The x-coordinate of the image when M(4,-1) is reflected in y = 3 is : 4
What is reflection?Reflection is the mirror image of a shape.
It is the process of flipping a shape around a certain axis to look like the original shape.
Analysis:
Since the reflection is at y = 3 which is along the x-axis, only the y coordinate changes. The x coordinate remains the same. So, the x- coordinate is still 4.
In conclusion, the x-coordinate is 4.
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