Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex] V = \pi r^{2} h [/tex]
Where:
r: is the radius
h: is the height = 50 cm
The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):
[tex] V_{m} = V_{e} - V_{i} [/tex]
[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]
The external radius is given by the sum of the internal radius with the tickness:
[tex] r_{e} = t + r_{i} [/tex]
Hence, the volume is:
[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]
Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!
HELP ASAP FOR 25 POINTS
What is the ratio of the sides of the smaller triangle to the bigger triangle?
1:9
1:6
9:1
6:1
Answer:
6:1
Step-by-step explanation:
That's the answer
.
.
.
36733"lik açının derece,dakika ve saniye olarak eşiti aşağıdakilerden hangisidir? A) 10° 14' 13" B)10° 14' 3" C)10° 13' 13" D)10° 12' 23" E)10° 12' 13"
Answer:
E
Step-by-step explanation:
36733 / 60 "612 kalan da 13
612/ 60 = 10 kalan ise 12
Please triple check
This recipe makes 15 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 15 cupcakes
12 ounces butter
10 ounces sugar
15 ounces flour
5 eggs
how to factor with the quadratic fourmula. n2-18n+66=0
A right square pyramid is shown. The base has a side length, b, of 30 centimeters (cm). The height, h, is 10 cm.
What is the length, in centimeters, of l?
Draw and label a triangle to model how to find the length of l.
What are the lengths of the legs? How do you know?
What is the length, in centimeters, of l? Use your model to help you find this value.
Answer:
Step-by-step explanation:
Without the illustration, I assume that L is the slant height of a triangular face.
L = √(15^2 + 10^2) = 5√13 cm
If a = 5, what is the value of 2a2 - 3a + 11 ?
A.
16
B. 46
C. 71
D. 96
Answer:
a. 16
Step-by-step explanation:
2(5)(2) = 20; 20 - 3(5) = 5; 5 + 11 = 16
I hope I did this right. Good luck
Answer:
B. 46
Step-by-step explanation:
2(5)^2-3(5)+11
PEMDAS (exponent)
2(25)-3(5)+11
PEMDAS
50-15+11
subtract (because it came before addition)
50-15= 35+11
final step add
46
Find the measure of one interior angle in the regular polygon hexagon
Find the missing angle?
Answer:
90 degrees
Step-by-step explanation:
the answer to this problem is 90
2. What does Decay means?
O To increase more and more.
O To get lesser and lesser.
O To multiply.
O To get higher.
plz help
plz
plz
plz
plz
Answer:
Please refer to the attachment
Answer:
x = -1/2 or x = -3
Step-by-step explanation:
2x^2 + 7x + 3 = 0
First, we try factoring the polynomial.
(2x + 1)(x + 3) = 0
It works. Now we set each factor equal to zero.
2x + 1 = 0 or x + 3 = 0
2x = -1 or x = -3
x = -1/2 or x = -3
How do you do this?? Show all work please
The answer is every long.
Step-by-step explanation:
as the figure shows
If sec 50 = cosec 70, prove that 0 = 7.5°
Answer:
The proofing is given below:
Step-by-step explanation:
[tex]Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta) = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta[/tex]
Hence, it is proved
Which statement describes the relationship between x and y in these two equations? y = 2x and y = x + 2
A. In y = 2x he value of y is 2 more than the value of x, and in y = x + 2 the value of y is twice the value of x.
B. In y = 2x and in y = x + 2, the value of y is 2 more than the value of x.
C. In y = 2x and in y = x + 2, the value of y is twice the value of x.
D. In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.
Answer:
D
Step-by-step explanation:
In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.
Help me plssssssss!!!
Answer:
1) B. $9000
2) A. (4,5)
Step-by-step explanation:
EASY PLEASE HELP!!!!!!
Answer:
e - surveys
Step-by-step explanation:
I'm not sure btw sorry but hope this can help
What is the value of a+b?
Answer:
125
Step-by-step explanation:
[tex]a = \frac{1}{2} \times 90 \degree \\ \\ a = 45 \degree \\ \\ b =\frac{1}{2} (360\degree - 200\degree) \\ \\ b = 80\degree \\ \\
a + b = 45 + 80 \\ \\ a + b = 125 \degree[/tex]
King, a golden retriever, can find a tennis ball hidden in his yard 89% of the time, while Tessa, a Labrador mix, can find a tennis ball hidden in her yard 94% of the time. Suppose King’s owner hides a tennis ball in his yard 100 times and Tessa’s owner hides a tennis ball in her yard 150 times. Let K = the proportion of times King finds the tennis ball and T = the proportion of times Tessa finds the tennis ball. What is the probability that the proportion of tennis balls King finds is greater than the proportion Tessa finds?
A) 0.050
B) 0.088
C) 0.476
D) 0.912
Answer:
B) 0.088
Step-by-step explanation:
took the quiz
Please help!!! I’ll make brainlest.
3. The cost of the city permits needed to build this building is 150,000 no matter how many floors with
condos are built.
a. Create a function p(1) based on this information.
b. What is the slope of your function and what does it tell you?
Answer:
[tex]P(x) = 150000[/tex]
[tex]Slope = 0[/tex]
Step-by-step explanation:
Given
[tex]Cost = 150000[/tex]
Solving (a): The cost function:
From the given parameter, it shows that the number of floor has no effect on the floors.
So, represent the floors with x.
The cost function is:
[tex]P(x) = 150000[/tex]
Solving (b): The slope and its interpretation
A function is represented as:
[tex]f(x) = b + mx[/tex]
Where:
[tex]m=slope[/tex]
By comparing: [tex]f(x) = b + mx[/tex] to [tex]P(x) = 150000[/tex]
[tex]m = 0[/tex]
So:
[tex]Slope = 0[/tex]
What it means is that, no matter the number of floors, the cost remains unchanged.
5. A farmer's annual income is represented by the variable x. The farmer will pay 28% of his income for federal taxes and 7% of his income for state taxes. Which two expressions represent the amount of money the farmer will have after paying these taxes?
A. 0.35x
B. 0.65x
C. 1 – 0.35x
D. x – 0.35x
E. x(0.28 + 0.07)
Answer:
B. 0.65x. and x – 0.35x
Step-by-step explanation:
His tax rates add up to 0.35
his total income, x, minus 0.35x is 0.65x.
x – 0.35 = 0.65,x
Plz help im very confused. Find Cos E.
Answer:
cos E =9/41
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos E = adjacent/ hypotenuse
Cos E = 18/82
cos E =9/41
Evaluate
(i)√121
(ii) 3^-2
What is the absolute value of -36
Answer:
36
Step-by-step explanation:
absolute value of -36 is 36
What is the best answer for this
Step-by-step explanation:
the answer is 4
a+(-7)+3=0
a=7-3
a= 4
Answer:
4
Step-by-step explanation:
There are two ways of going about this problem. One could simply substitute every given answer and simplify to see if it makes a true statement. Conversely, one could solve the given equation with inverse operations. In this case, it is easier to solve with inverse operations.
Undo parenthesis,
a + (-7) + 3 = 0
a - 7 + 3 = 0
Simplify,
a - 7 + 3 = 0
a - 4 = 0
Inverse operations,
a - 4 = 0
+4
a = 4
what is the second step when multiplying mixed numbers.
Answer:
Multiply the numerators, than the denominator
Step-by-step explanation:
Because...
1. Change the mixed number to a impoper fracytion
2.Multiply the numerators, than the denominators
3. Than multiply the numerator and denominator seperatly
What numbers can you multiply to get 14 and add to get -5?
Answer:
-2 and 7
Step-by-step explanation:
2×7=14
2-7=-5
this is what I got.
The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases
Answer:
D
Step-by-step explanation:
I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.
x+5
3
+
x−5
2x+5
=
x−5
3x
Answer: 4x+5 [tex]\neq[/tex] 4x-5
Step-by-step explanation: It's really hard to tell what the question is.
Answer with evidence I give points and brainiest and friend me for personal points
Answer:
12.75ft²
Step-by-step explanation:
Step 1: Determine the formula for the area of a trapezoid
The formula for the area of a trapezoid is A=1/2(b1+b2)*h where b1 and b2 are the bases of the trapezoid and h is the height of the trapezoid.
Step 2: List given information
b1=8ft
b2=9ft
h=1.5ft
Step 3: Plug given variables into the formula
A=1/2(b1+b2)*h
A=1/2(8+9)*1.5
A=1/2(17)*1.5
A=8.5*1.5
A=12.75
So the area of the seat is 12.75ft²