Answers
Given:
[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]
To find:
The correct equivalent equation.
Solution:
We have,
[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]
Taking sin on both sides, we get
[tex]\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A[/tex]
[tex]\dfrac{5}{8}=\sin A[/tex] [tex][\because \sin (\sin^{-1}\theta )=\theta][/tex]
Interchanging the sides, we get
[tex]\sin A=\dfrac{5}{8}[/tex]
Therefore, the correct option is 4.
Related Questions
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answers
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
I need Answer Immediately!!!!!!
Answers
Answer:
24.2424242424242%
Step-by-step explanation:
16+17+33=66
16÷66=0.2424242424242
What would be the second step in simplifying the expression 4 2 ÷ (2 • 9) + 5?
Answers
Answer:
7.333
Step-by-step explanation:
(42 ÷ 18 ) +5 =
7/3 +5 =
7/3 + 15/3 =
22/3 =
7.333
Answer:
4.33
Step-by-step explanation:
Area of triangle please help
Answers
Answer:
A= 18
Step-by-step explanation:
Answer:
18 your answer is correct
Step-by-step explanation:
12x3=36
36÷2=18
The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!
Answers
Answer:
[tex]6.28\:\mathrm{in}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.
Therefore, we have:
[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]
Answer:
6.28in or 6.3in
Step-by-step explanation:
All I did was multiply pie by diameter or multiply it by its radius, which is 1.
C = 2(3.14)(1)
= 6.28
or
C = (3.14)(2)
= 6.28
find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first
Answers
2n + 1 , 2n + 3 , 2n + 5
____________________________
( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15
4n + 8 = 10n + 5 - 15
4n + 8 = 10n - 10
Add both sides 10
4n + 8 + 10 = 10n - 10 + 10
4n + 18 = 10n
Subtract both sides 4n
4n - 4n + 18 = 10n - 4n
18 = 6n
Divide both sides by 6
18 ÷ 6 = 6n ÷ 6
n = 3
_________________________________
Thus that three numbers are :
2(3) + 1 , 2(3) + 3 , 2(3) + 5
6 + 1 , 6 + 3 , 6 + 5
7 , 9 , 11
And we're done ....
What is the best name for Quadrilateral ABCD given the points A(−3,3), B(1,7), C(4,4), and D(0,0)?
A. Rhombus
B. Square
C. Rectangle
D. Parallelogram
Answers
Answer:
Rectangle
Step-by-step explanation:
First, we gotta graph it!
It's down below.
Now, what shape is that?
It's a rectangle!
Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?
Answers
Answer:
L = 16oz
M = 12oz
S = 8oz
Step-by-step explanation:
8 large equal to 128oz ( 8 x 16 = 128 )
4 medium equal to 48oz ( 4 x 12 = 48
4 large equal to 64oz ( 4 x 16 = 64
12 medium equal to 144oz ( 12 x 12 = 144 )
Total of oz equal 384oz
384 - 80 = 304/80 = 3.8
3 more bowl of 80oz and 5 Mcup and 1/2 Scup
If f (x) = 6x – 5,
find x for f (x = 13
Answers
Step-by-step explanation:
f(x)=136x-5=136x=13+5x=18/6x=3hope it helps stay safe healthy and happy....Answer:
Solution :-here,
f (x)= 13
or, 6x-5= 13
or, 6x =13+5
or, 6x = 18
or, x = 18/6
or, x = 3
hope it is helpful to you
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answers
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
Any help plssssssssssss I need to pass
Answers
Answer:
(-4,-5)
Step-by-step explanation:
hope you pass ur exams!!
I need to find X and Y
Can someone pls help me
Answers
please help ASAP
ITS 14 points
Answers
Answer:
area= 62.88
Step-by-step explanation:
to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.
now find the area of the whole circle and divide it in half.
A= pi * r^2 / 2
A= 3.14 * 4^2 /2
A= 3.14 * 16 / 2
A= 25.12
Now take the area of the semi-circle and subtract it from the whole figure.
88-25.12=62.88
factorizar A- m⁹+125
B - 125a³ + 150a² b + 60ab³ + 8b³
Answers
Answer:
Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte
The period of function is 4 pie how many cycles of the function occur in a horizontal length of 12 pie
Answers
Answer: 3
Step-by-step explanation:
Given
The period of the function is [tex]4\pi[/tex] i.e. function completes a full cycle in this zone.
For a horizontal length of [tex]12\pi[/tex]
Number of cycles is
[tex]\Rightarrow \dfrac{12\pi }{4\pi }=3[/tex]
So, there are 3 ycles of the function in length of [tex]12\pi[/tex].
Answer:
3
Step-by-step explanation:
I just did it and it was correct.
What is the least common denominator of the equation 2/9x + 2/3x =7 ?
Answers
Answer:
that would be 9 as the least common denominator
Step-by-step explanation:
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answers
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
Value of fraction:40%
Laura has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 4 feet from the base of the wall. How high will the ladder be able to reach on the wall? BRAINLIEST FOR CORRECT ANSWER!!!!
Answers
Answer:
3
Step-by-step explanation:
12÷4=3
Have a good day:)
what is the formula of gradient
Answers
Answer:
m=slope
(x_1, y_1)=coordinates of the first point in the line
(x_2, y_2)=coordinates of the second point in the line
Step-by-step explanation:
What is the radius of a circle with a circumference of 26 meters?
Answers
Answer: 4.14 m.
Step-by-step explanation:
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories. About how many servings are in the package?
Answers
Answer:
Number of servings= 48.05
Step-by-step explanation:
Giving the following information:
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.
To calculate the number of servings, we need to use the following formula:
Number of servings= total calories / calories per serving
Number of servings= 3,460 / 72
Number of servings= 48.05
Write the standard equation of each circle below
Answers
I need help please!!:)
Answers
Answer:
No bcuz its not on the line
Step-by-step explanation:
Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.
What is the range of their heights?
Answers
Answer:
6 cm
Step-by-step explanation:
To find the range take the largest number and subtract the smallest number
The largest number is 141 and the smallest number is 135
141 - 135 = 6 cm
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answers
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
√2,√5,√9,√15 order from least to greatest
Answers
CAN SOMEONE HELP WITH THESE 2 questions please!! Reposting cause someone said too !!! Will mark u brainlist and give u points!!!
Answers
Answer:
do u need help with the whole page?
Step-by-step explanation:
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answers
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
which statement is not guaranteed to be true
Answers
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following numbers is not a factorial prime?
4! - 1 = 23
6! - 1 = 719
5! - 1 = 119
3! - 1 = 5
Answers
Answer:
Step-by-step explanation: