Answer:
what
Step-by-step explanation:
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
Convert 7/8 to decimal
Answer:
0.875
Step-by-step explanation:
7 divide by 8
<3
Red
Answer:
0.875
Step-by-step explanation:
Some helppppp!!!!! I’m having trouble
Joyce paid $31.50 for an item at the store that was 55 percent off the original price. What was the original price?
Give your answer to the nearest cent.
The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the original price of the item. Then, we can write the equation:
x - 0.55x = 31.50
from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price
Simplifying the given equation, we get:
0.45x = 31.50
Dividing both sides by 0.45, we get:
x = 70
Therefore, the original price of the item was $70.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation:
Use a proportion to find the number of meters in 9 feet. Round to the nearest tenth.
Find the product.
[tex](b-9)(b+9)[/tex]
What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?
Answer:
4.53%
Step-by-step explanation:
We are told that:
From the question, we have a 6.5 % coupon
Hence = 6.5 × $10
= $65
Price of the bond one year later = $1,037.19
$1,054.47 - $1,037.19
= $17.28
Rate of Return
= ($65.00 - $17.28)/$1,054.47
47.72 ÷ 1054.47 = 0.045254962
0.045254962 × 100 =
4.5254962 %
Approximately = 4.53%
Which fractions are equivalent to
-? Check all that apply.
12
Answer:
2/3
24/36
32/48
are all equivalent to 8/12
Answer:
32/48
Step-by-step explanation:
32 divided by 4 is 8
48 divided by 4 is 12
What does 3(4) mean?
The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?
Answer:
The width is 3 inches.
Step-by-step explanation:
First, let's identify our variables.
L=Length
W=Width
P=Perimeter
P=2W+2L
We know that L=W+6
We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:
8W=2W+2(w+6)
If you go through all the steps to isolate the variable W, you'll end up with W=3
What is the value of x?
O12 units
O15 units
O20 units
O 24 units
Answer:
15 units
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
x^2 = 9 × 25 ➡ x^2 = 225
x = 15
(8x^4-64x^3+3x-28) / (X-8)
Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Evaluate -2 +7 +(-4).
ANSWER THIS QUESTION
Answer: 1
Step-by-step explanation: -2+7=5. 5-4=1.
Answer:
1
Step-by-step explanation:
solve for 1/3(2x-y)=z for x
Answer:
The answer is 7.
Step-by-step explanation:
Cant you math bro?
Describe what you know about the angles of a triangle
Answer:
Similarity is it is beautiful like your mom
Step-by-step explanation:
All 3 angles of the triangle added up will be equal to 180 degrees.
Hope this helps, brainliest pls!
1. 30 inches to 24 inches
Find the percent of change and round to the nearest whole percent
Answer:
6
Step-by-step explanation:
subtract if that makes sense
10. Find the parallel slope: (-2.9) and (1.-3).
I need an answer for this ASAP thanks.
Answer:
ll
Step-by-step explanation:
Which of the following is irrational?
2
v1.44
1
Answer:
B
Step-by-step explanation:
B
PLZ need serious HELP! No fake or dumb answers
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)
Answer:
D) (-5, - 7)
Step-by-step explanation:
Because both lines intersect, they must share a point (have same x and y coordinates).
[tex]2x + 3 = - 4x - 27[/tex]
[tex]2x = - 4x - 30[/tex]
[tex]6x = - 30[/tex]
[tex]x = - 5[/tex]
Substite x for - 5 in any of the equations to find the y coordinate.
[tex]y = 2( - 5) + 3 [/tex]
[tex]y = - 10 + 3[/tex]
[tex]y = - 7[/tex]
The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)
If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
5(x + 4) = 5x + 20 is an example of which property?
Answer:
Distributive Property
Step-by-step explanation:
First you would solve the left side of the equation. For this you would use the distrubutive property.
5x + 20 = 5x + 20
So the answer is the distributive property.
Hope this helped!!!
If 3/4 the way though the game Sam had 21 points, how many points would he expect to have for a full game? points
Answer:
I'm guessing 28
Step-by-step explanation:
because 3/4 of 21 is 28
HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will
also baby-sit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for
his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h
should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
The largest angle is a triangle is 110°. Of the remaining two angles, one is 4° less than the other angle. Find the
measure of the three angles
Answer:
Do 180-110=70 Then have it where 70/2=35. 35+4=39, 35-4=31, so the three angles are 39, 110, and 31.
Step-by-step explanation:
Can someone help please ??
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
⚠️⚠️PLEASE ANSWER QUESTION IM ALMOST DONE WITH THISSS⚠️⚠️
Answer:
y-inter=6
slope=2/1
Step-by-step explanation:
slope is 3
y-intercept is 6
multiple choice answer pls find the correct
Answer:
b 29
Step-by-step explanation:
because the angle b and c are the same so both are 100 and that means both angles d and e are the same so add those to angles together get 151
a triangle is equal to 180 so subtract the number 151 from 180 to get your answer then your answer will be 29
Answer:
b
Step-by-step explanation:
180=100 +51 + 29
PLEASE HELP! I need to get this right to boost my grade, and I'm having trouble understanding it but there's a deadline to turn it in. Could anyone help me?
Estimate the area of the irregular shape (don’t forget to show work). Explain your method.
I included a picture, I hope it helps.
Answer:
about 30 units
Step-by-step explanation:
the way my teacher taught me this was just counting all the squares that the irregular shape covers, whether or not it is fully encircled.