Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
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Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)
Part B: Write a verbal expression for 4(n + 6). (5 points)
The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
Part A ;We have,
[tex]8[/tex] more than [tex]5[/tex] times a number
Now,
Let a number [tex]=x[/tex]
So,
According to the question,
We get, [tex](8+5x)[/tex]
So, this is the algebraic expression .
Part B ;We have,
[tex]4(n + 6)[/tex]
So,
According to the question,
[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.
So, this is the verbal expression .
Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
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help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
Find the volume of the cylinder. Use 3.14 for π.
Round your answers to the nearest tenth.
Answer:
V≈565.4
Step-by-step explanation:
V=πr2h=π·32·20≈565.48668
Find the volume of a cone with a base radius of 6 in and a height of 12 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
Answer:
we have
radius [r]=6in
height [h]=12in
Volume of cone = 1/3πr²h
Volume = 1/3 ×π × (6)² × 12=144πίn³or 452.38in³ is your answer.
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
Kirk's parents took him to the movies. His mother told him to sit in the front row in
the seat that occupied the median position. The first row in the theatre has 23 seats.
What seat did Kirk have to sit in?
A 12
B 23
C 1
D 11
Is this relationship proportional or non proportional
The area of a. square field is 100m square. what is the perimeter of the field?
answer:the Perimeter is 40m
PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????
9996666669999999999999 + 767859439234567890
Answer:
9.9974345e+21
Step-by-step explanation:
im a big brain
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
Enter answer as a decimal.
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
X+1/2=x-1/2 true or false?
solve for a
-4a -2a -7=11
Answer:
-3
Step-by-step explanation:
-4a - 2a - 7 = 11
-6a - 7 = 11 Combine coefficients.
+7 +7
-6a = 18 Isolate the variable.
a = -3 Divided by 6 on both sides to isolate the variable.
What decimal is equal to 3/4???? ANSWER FAST!!!!!!!!!!!1
Answer:
0.75
Step-by-step explanation:
Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please!
what is the GCF of 90, 135, 225
Answer:
45 I believe.* u no ketchup
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?
The value of h -j is -5.
We have the function, f(x) = x² -4x + 8
Now, vertex
h = x = -b/2a
h = x = -(-4) / (-2)
h = x = -4/2
h= x = -2
Now, according to the graph
j = x= 3
So, h - j
= -2 - 3
= -5
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True or false: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
Answer:
The answer to the above question would be true
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
Item 1
The table gives estimated annual salaries associated with two levels of education.
Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?
$20,500
$75,500
$82,500
$615,000
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?
Answer:
223.50
Step-by-step explanation:
1490x .15 = 223.50
I NEED HELP ON THIS PLZZZ HELPP
Answer:
[tex] 76 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Are of square with side 8 in + 2 times the area of one triangle with base (8 - 5 = 3) 3 in and height 4 in
[tex] = {(8)}^{2} + 2 \times \frac{1}{2} \times 3 \times 4 \\ \\ = 64 + 12 \\ \\ = 76 \: {in}^{2} [/tex]
What is the value of x?
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
If this doesn’t answer your question, then do you have any further information?
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
Find the value of x pls help with this
Select the correct graph.
Which graph represents function f?
Answer: top right graph
Step-by-step explanation: Put in calculator and you will find the answer
A number squared, then increased by 4, I need the equation.
