Answer:
267.95cm^3
Step-by-step explanation:
S= 4πr^2
Surface area is 200.96
π= 3.142
200.96= 4×3.142×r^2
200.96= 12.57r^2
r^2= 200.96/12.57
= 15.99
= √15.99
r = 3.9
Volume= 4/3πr^3
= 4/3× 3.142×3.9^3
= 267.95 cm^3
Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.
Which rule could model the height of the nail from the ground?
a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3
Answer:
f(x)=1.5cos(16πx)+1.5
(Question on a Quiz was correct)
The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
Now , the value of A is
f ( x ) = 1.5cos ( 16πx ) + 1.5
Let the diameter of the tire be x
Let the height of the nail from ground be f ( x )
On simplifying , we get
when x = 3 feet
f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5
f ( 3 ) = 1.5 cos ( 48π ) + 1.5
From the trigonometric relation cos ( nπ ) = 1
f ( 3 ) = 1.5 + 1.5 = 3 feet
Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5
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please help me with this question
Answer:
-3x^2+16x+64
Step-by-step explanation:
First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.
(x+8)(x+8)=x^2+16x+64
The total area is x^2+16x+64
(2x)(2x)=4x^2
The area of the unshaded part is 4x^2
Now we have to subtract to find the area of the shaded part.
x^2+16x+64-4x^2
-3x^2+16x+64
That is the answer
Hope this helped!! :D
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Answer:
Option B) His teachings became government philosophy.
In a classroom, there are 5 girls and 7 boys. What is the chancethat the teacher will choose a girl to answer a question?
Answer:
5/12!
Step-by-step explanation:
So, imagine the denominator as the whole classroom, i.e. rephrase __ out of 12 to __/12. To get the total class, just add up both groups, which gets you 12! now, 5 out of the 12 kids are girls, so, put 5 in the last sections blank! i hope this helped!!!
Please help with this one too??
Answer:
21979
Step-by-step explanation:
21979 = 11(1997)+12
Between 0900 and 10 30, a man walks a distance of 27 km. What is his average speed in km/h?
Answer:
18
Step-by-step explanation:
0900 to1030 is 1.5 h
Take 27/1.5
Then you will get the answer
:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
Answer:
Okay well if you need to find mph she is going 10 mph
Step-by-step explanation:
1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min
Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.
Answer:
7.96 x 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].
[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].
[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].
[tex]= \frac{80 - 4}{10000}[/tex].
[tex]= \frac{76}{10000}[/tex].
[tex]= \frac{38}{5000}[/tex].
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What is the vertex of the absolute value function below?
Answer:
B (-3,2) sorry i wish i would've answered sooner
Step-by-step explanation: took the test
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Answer:
iqiquwieueoeukr jffjfk
Step-by-step explanation:
iwiwi3uurueu3u bb fnwowjdk italiano
This drawing shows a human body system. What is the primary function of this body system?
Answer:
c
Step-by-step explanation:
yw
This shows the cardiovascular system.
The answer is: The transport of nutrients, water, and oxygen to body cells.
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
length = 3 + width
perimeter = 34
34 ÷ 2 = 17
width = x
3 +x + x = 17
3 + 2x = 17
2x = 14
x = 7
width = 7
Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.
Answer:
4212 square feet.
Step-by-step explanation:
If the blueprint's scale is 1 inch : 9 feet.
Square both sides
(1in)² = (9ft)²
1in² = 81ft²
Given the gym's area as 52 square inches, hence;
52in² = x
Divide both expressions
1/52 = 81/x
x = 52 * 81
x = 4212ft²
Hence the area of the actual gym is 4212 square feet.
Help me with this please!!!!!!!
Answer:
The answer is 8.54
-3(8n+10)
distributive property
Which scatter plot could have
A trend line with the equation below?
Y=x+4
Answer:
you're correct the second one
Step-by-step explanation:
A tepee is designed to have a diameter of 10 feet and the volume of 419 ft.³ at what height the support poles crossed with some of the tepee correctly?
Answer:
The required height is equal to 5.33 feet.
Step-by-step explanation:
Given that,
Diameter, d = 10 feet
Volume, V = 419 ft.³
We need to find the height the support poles crossed with some of the tepee correctly. Let the height is h.
The tepee is in the form of a cylinder. The volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{419}{3.14\times 5^2}\\\\h=5.33\ ft[/tex]
So, the required height is equal to 5.33 feet.
(x2 + 12x + 14) = (x + 1).
Answer:
x=-1.34
Step-by-step explanation:
x=-1.34
What do you used to find perimeter
Answer:
Perimeter = 2 ( l + w )
if u r given for rectangle thats the formula
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).
hey! please help i’ll give brainliest
Answer:
b
Step-by-step explanation:
. Simplify: (2 x 2 + 6-10 ÷
2)
Answer: 5
Step-by-step explanation:
You see 2x2 = 4 right and since this is operation 2 / 10 = 5 and 6-5 = 1 so add 1 and that gives you 5
2x2 = 4 / 10/2 = 5 / 6-5 = 1 +4 = 5
Answer:
= 4x + -4
Step-by-step explanation:
Let's simplify:
[tex]2x(2) + 6 -10 \\ = 4x + 6 - 10[/tex]
Combine Like Terms:
[tex]=4x+6+−10
\\ =(4x)+(6+−10) \\ =4x+−4[/tex]
Determine which statements are true or false
aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.
Answer:
339.290
Step-by-step explanation:
by using the formula for surface area of cylinder that is 2πrh+2πr^2
plz help urgent so easy will give brainliest mark for the first answer given!!
Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9
[tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]
[tex]y=-\frac{4}{9}x-1[/tex]
By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12
[tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]
[tex]y=-\frac{5}{3}x+4[/tex]
Slope of the line = [tex]-\frac{5}{3}[/tex]
y-intercept = 4
A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters.
What is the value of B ?
7 m 2
8 m 2
77 m 2
14 m 2
ty :)
Answer:
its 7m 2
Step-by-step explanation:
Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.
Answer:
1 / 2704
Step-by-step explanation:
Number of cards in a deck = 52
9 of clubs in a deck = 1
10 of clubs in a deck = 1
Probability = required outcome / Total possible outcomes
P(9 of club) = 1 / 52
With replacement ;
Then ;
P(10 of club) = 1 / 52
Hence,
P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704
Which can be represented by the expression 17 – 2x? A. 17 less than twice a number B. the difference between 17 and twice a number C. a number x squared, subtracted from 17 D. 17 less than a number x squared
Answer:
B.
Step-by-step explanation:
If x is a number, then twice a number is 2x. The difference between 17 and 2x is 17-2x.
Common Error:
A. says 17 less than twice a number. Since it is 17 less, it is 2x-17 not 17-2x.
Hope this answer helped! :)
The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches
Answer:
153.86
Step-by-step explanation:
3.14 x (7x7) = 153.86
What is the value of x. Please help out. This is due today!
Answer:
70°
Step-by-step explanation:
In the context it says that Franklin St. is parallel to Washington St.
The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.
Supplementary angles are angles that add up to each other to make 180°
So lets subtract:
180 - 110 = 70°
Angle x = 70°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There are 6 marbles in a bag. are blue and 2 are red. What is the probability of
drawing 4 marbles that are all blue?
3 is to 2 is the probability of drawing 4 marbles that are all blue.