Answer:
Half 43.5
The same 87
Twice as much 174
Step-by-step explanation:
The arc measure is approximately [tex]\(1.518 \pi\)[/tex] times the central angle. So, it's larger. The answer is B.
To find the measure of the arc corresponding to a central angle, you can use the formula:
[tex]\[ \text{Arc measure} = \frac{\text{Central angle}}{360^\circ} \times \text{circumference of the circle} \][/tex]
Since a full circle has a circumference of [tex]\( 2\pi \)[/tex] units, and the central angle is 87 degrees, you can substitute these values into the formula:
[tex]\[ \text{Arc measure} = \frac{87^\circ}{360^\circ} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} = \frac{87}{360} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 0.2417 \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 1.518 \pi \][/tex]
Now, compare the result to the central angle. Since the arc measure is approximately [tex]\(1.518 \pi\)[/tex], and the central angle is 87 degrees, it's clear that the arc is larger than the central angle. So the correct answer is:
B. Twice as much
Complete Question:
If a central angle measures 87degree, then its arc will measure _____.
A. half as much
B. twice as much
C. the same
if sin A=1/2 find the cos A
Answer:
Sin A = 1/2 means taking the inverse of Sin which is arcsin and then solving for A.
Do the same thing for Cos A = 1/2. The inverse of Cos is arccos and then solve for A.
The answer is pi/3. Knowing the unit circle helps too.
Good luck!
If sin A is 1/2. Then the value of cos A will be √3 / 2.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
If sin A is 1/2. Then the value of cos A will be
We know that
sin² A + cos² A = 1
Then we have
(1/2)² + cos²A = 1
cos² A = 1 - 1/4
cos² A = 3/4
cos A = √(3/4)
cos A = √3 / 2
More about the trigonometry link is given below.
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A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how tall will it be?
Find the sum.
a. 64 + (-15)
b. -121 + (-34)
C. -86 +92
d. 109+(-162)
ANSWER QUICKLY PLEASE!!!!
Look at the attached picture ⤴
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Simplify 5(x-4) HELPPP PLS HURRY ILL GIVE U BRAINLIEST
Answer:
5x-20
Step-by-step explanation:
multiply and distribute the 5
18 is 25% of what number?
Answer:
72
Step-by-step explanation:
If 30 feet of a fencing material weighs 21 pounds, what does 75 feet of the same material weigh?
Answer:
52.5 lbs
Step-by-step explanation:
We can use a ratio to solve
30 ft 75 ft
-------------- = ------------
21 lbs x lbs
Using cross products
30x = 75*21
30x = 1575
Divide each side by 30
30x/30 =1575/30
x =52.5 lbs
micchel and jennefer each worked 25 hours last week. micchel eared $10 per hour jennifer earned $12 per hour how much more did jennifer earn for the week
Answer:Jennifer earn 50$ more than micchel
Step-by-step explanation:
Simplify -3 1/2 - (-12 1/4)
whal is P()
im so confused
what is P(12)
and how does it = to 1/30
Answer:
2/60
Step-by-step explanation:
Which describes the graph of the function shown?
A) linear and discrete
B) nonlinear and discrete
C) linear and continuous
D) nonlinear and continuous
The question is the photo.
Answer:
w=5
Step-by-step explanation:
the triangle has the same size of area as the side of the rectangle so therefore 5
Answer:
The area of a triangle is [tex]A\Delta=\frac{1}{2}(base)(height)[/tex]
So, the area of the given triangle is:
[tex]A\Delta=\frac{1}{2}(5)(6)\\A\Delta=\frac{1}{2}(30)\\A\Delta=15cm^2[/tex]
The area of a rectangle is
[tex]A=(length)(width)\\A=(6)w\\A=6wcm^2[/tex]
Once the area of both are the same:
[tex]6w=15\\w=\frac{15}{6} \\w=2.5cm[/tex]
Round the following numbers to 2 decimal place.
a) 65.874
b) 326.59
c)
13.555
d)
7.959
Answer:
A) 65.87
B) 326.59
C) 13.56
D) 7.96
Step-by-step explanation:
6.77 times 7 times 7.4 by the nearest whole number
Answer:
351
Step-by-step explanation:
Calculate the numbers on a calculator (6.77*7*7.4) and you'll get the answer 350.686. With that number, round the 600 up (makes the 0 in 350 to 1) which will give you the new number of 351. Hope this helps.
Evaluate each expression.
Answer:
-1
Step-by-step explanation
Answer:
-1
Step-by-step explanation:
-9-3 = -12
18-6 = 12
-12/12 = -1
Grayson charges $35 per hour plus a $35 administration fee for tax preparation, lan charges $45 per hour plus a $15
administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge
more than lan?
Oh> 2
on<5
h>5
Answer:
h < 2
Step-by-step explanation:
The charges by Grayson are ...
35h +35
The charges by Ian are ...
45h +15
We want to find h for ...
Grayson > Ian
35x +35 > 45h +15 . . . . use expressions we found
20 > 10h . . . . . . . . . . . . add -15-35h
2 > h . . . . . . . . . . . . . . . divide by 10
Grayson will charge more for less than 2 hours.
Answer:
A: h < 2
Step-by-step explanation:
Find a 15% tip on a restaurant bill of $32.60.
Answer:
32.60/100*15 = $4.89 = 15%
Step-by-step explanation:
Answer:
$4.89
Step-by-step explanation:
To find the tip, multiply the tip rate by the price of the bill
tip rate * bill
15% * 32.60
Convert 15% to a decimal by dividing by 100, or moving the decimal 2 spaces to the left
15%/100=0.15
15.0 -->0.15
Substitute the decimal in for the percent and multiply
0.15* 32.60=4.89
So, a 15% tip on $32.60 is $4.89
Set up a table of values and then graph the line from its parametric form.
x= -3t+4
y= 2t-5
Please select the best answer from the choices provided
A
B
C
D
Answer:B
Step-by-step explanation:
Edge
A drone is flown, with constant acceleration, in a horizontal plane.
When initially observed, at a point P, it has a velocity of (2i − 7j) ms−1
Four seconds later the drone is at a point Q and has a velocity of (14i + j) ms−1
(i) Find the acceleration of the drone in terms of i and j.
Answer:
3i + 2j
Step-by-step explanation:
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
3i + 2j
The acceleration of the drone in terms of i and j is 3i+2j.
What is the average acceleration?Acceleration is the amount by which the velocity of something changes over a set period of time.
The formula to find the acceleration is a=(v-v₀)/t, where a=average acceleration, v=final velocity, v₀=initial velocity and t=time.
Given that, a drone is flown, with constant acceleration, in a horizontal plane. When initially observed, at a point P, it has a velocity of (2i-7j) ms⁻¹.
Four seconds later the drone is at a point Q and has a velocity of (14i+j) ms⁻¹.
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
= 4(3i+2j)/4
= 3i+2j
Therefore, the acceleration of the drone in terms of i and j is 3i+2j.
Learn more about the average acceleration here:
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All 12 members of the glee club went to eat at the Hibachi Grill restaurant. The chicken costs $10 per person, while the beef costs $14 per person. At the end of the evening, the club members received a bill for $136, not including tax.
Assuming that each person ordered only one type of meal (chicken or beef), how many club members ordered chicken?
URGENT
Answer:
8 chicken, 4 beef
Step-by-step explanation:
No. of chicken: x
No. of beef: y
x + y = 12
x = 12 - y
10x + 14y = 136
10(12 - y) + 14y = 136
120 - 10y + 14y = 136
4y = 16
y = 4
x = 12 - 4
x = 8
Solve the equation:
|x+1|+|x−2|=3
The only solution to the equation |x+1|+|x-2|=3 is x=2. To find this, we broke the problem into cases based on the nature of absolute values and verified the solution by substitution.
To solve the equation |x+1|+|x-2|=3, we need to consider the different cases due to the absolute value functions.
If x = 2, both x+1 and x-2 are non-negative, and our equation simplifies to x+1+x-2=3, which results in x=2.
If -1 \\leq x < 2, x+1 is non-negative, and x-2 is negative, so the equation becomes x+1-(x-2)=3, which is an identity and does not yield a solution.
If x < -1, both x+1 and x-2 are negative, so the equation becomes -(x+1)-(-x+2)=3, simplifying down to -1=3, which is false and cannot be a solution.
Therefore, the only solution is x=2. We can verify this by substituting back into the original equation. This is consistent with the properties of absolute value equations. Always verify your solutions to ensure they hold in the original equation.
What is the answer to this question?
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes.
The product of perpendicular slopes = - 1
Calculate the slopes of u and v using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)
m = [tex]\frac{96-65}{-46+51}[/tex] = [tex]\frac{31}{5}[/tex]
Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)
m = [tex]\frac{80-85}{-6+37}[/tex] = - [tex]\frac{5}{31}[/tex]
Since [tex]\frac{31}{5}[/tex] × - [tex]\frac{5}{31}[/tex] = - 1
Then the lines are Perpendicular
Classwork/Homework:
Which of the following equations represent exponential functions
A. f(x) = 2x3 + 1
B. f(x) = -4*
C. f(x) = 1+
D. f(x) = 3(2)*
Option D, f(x) = 3(2)^x, represents an exponential function.
Explanation:The equation that represents an exponential function is f(x) = 3(2)x. The exponential function has the form y = ab^x, where a and b are constants, and b is greater than 0 and not equal to 1. In this equation, b is equal to 2, which satisfies the condition. Therefore, option D, f(x) = 3(2)x, represents an exponential function.
Factor the following polynomial:
2x^2+8x
Look at the attached picture⤴
Hope it will help u..
This is an isosceles trapezoid z=
Answer:75
Step-by-step explanation:
Answer:
75 is the answer I think...
Step-by-step explanation:
Which of the following triangles are impossible? Check all that apply. a triangle with sides of 3 cm, 3 cm, and 6 cm a triangle with sides of 3 cm, 4 cm, and 6 cm a triangle with sides of 9 cm, 5 cm, and 2 cm
Answer:
A and C
Step-by-step explanation:
I did the test and got a 100%
Which type of function best models the set of data points?
(0,11). (1,7), (2,7), (3,11). (4,19)
wait I try it !! ,!!!!!!
Answer:
the best model function of the set is 3,11
Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.
What is the sale price?
What fraction of 150 gallons is 189 l? Give your answer in simplest form. 1 gallon = 4.5 l.
Answer:
[tex]\frac{25}{7}[/tex]
Step-by-step explanation:
Given:
1 gallon = 4.5 liters
Question asked:
What fraction of 150 gallons is 189 liters ?
Solution:
First of all we will convert gallons to liters:-
1 gallon = 4.5 liters
150 gallons = 4.5 [tex]\times[/tex] 150 = 675 liters
Now, to know the fraction :-
675 gallons [tex]\div[/tex] 189 liters
[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]
Therefore, 150 gallons (675 liters) is [tex]\frac{25}{7}[/tex] of 189 liters.
The Petersons hotel has a lazy river that is shaped like a circle with a diameter of 120 ft. If mr. Peterson has made one full rotation how many feet has he traveled?
Mr. Peterson has traveled approximately 376.8 feet after making one full rotation in a lazy river with a diameter of 120 feet, by calculating the circumference of the circle using the formula C = πd.
Explanation:The question asks how many feet Mr. Peterson has traveled after making one full rotation in a lazy river shaped like a circle with a diameter of 120 ft. To find the distance traveled, we need to calculate the circumference of the circle, which is the total distance around the circle.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter of the circle. Using π approximately equal to 3.14 and the given diameter of 120 feet, we calculate the circumference as follows:
C = πd = 3.14 × 120 ft = 376.8 ft
Therefore, Mr. Peterson has traveled approximately 376.8 feet after making one full rotation around the lazy river.
Solve this in quadratic formula please and thank you.
Answer:
(2/3) + or - .943i
Step-by-step explanation:
Use quadratic formula.
[tex]x = \frac{-b \frac{+}{}\sqrt{b^2 - 4ac} }{2a}[/tex]
A = 3
B = -4
C = 4
[tex]\sqrt{16 - 2(3)(4)} = \sqrt{-8}[/tex] or 2.828i
4/6= 2/3
Answer: 2, -2/3 ********************************************************************************************************