Answer:
(- 7, - 5 )
Step-by-step explanation:
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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Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answer:
........................
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
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
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:
Help me with this please!!!!!!!
Answer:
The answer is 8.54
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
4x-2
x=5
can someone help me with this?
Answer:
x= 5/2
Step-by-step explanation:
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
help me asap please I will mark brainliest and give extra points
Answer:
3/32
Step-by-step explanation:
prob greater than 5
that would be 6,7 or 8
p = 3/8
prob purple
p = 1/4
Prob of both
p = 3/8 * 1/4
p = 3/32
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).
hello please help i’ll give brainliest pls
Answer:
iqiquwieueoeukr jffjfk
Step-by-step explanation:
iwiwi3uurueu3u bb fnwowjdk italiano
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
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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.
help me and please tell me how did you get the answer
Answer:
The sum is 10
Step-by-step explanation:
Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2
Rewrite: 4(2 1/2)
Make fraction improper: 4(5/2)
Distribute: 20/2
Simplify: 10
Please help with this one too??
Answer:
21979
Step-by-step explanation:
21979 = 11(1997)+12
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
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
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
: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
hello please help i’ll give brainliest
Answer:
Option B) His teachings became government philosophy.
-3(8n+10)
distributive property
what is the HCF of 3000 and 525 answer with process
Answer:
The HCF is 75
Step-by-step explanation:
Here, we want to get the highest common factors of the two numbers
To do this, we have to write the numbers as the product of their prime factors
We have;
3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5
525 = 3 * 5 * 5 * 7
now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers
This represents the highest common factor of the two numbers
and that is 75
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answer:
x=48
Step-by-step explanation:
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.
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?
Answer:
191 Feet.
Step-by-step explanation:
Answer: Your answer should be 191!
Expand and simplify
2(2a - b) + 5(3a - 2b) pls quick
Answer:
19a - 12b
Step-by-step explanation:
2(2a - b) + 5(3a - 2b)
4a - 2b + 15a - 10b
19a - 2b - 10b
19a - 12b
Please help me with this homework
Answer:
true
Step-by-step explanation:
It's hard for me to explain but let me know if it's right and if you need an explanation
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