Given:
The given degree measurement is -60 degrees.
To find:
The radian measure of the given degree measure.
Solution:
We know that,
[tex]\text{Radian measure}=\text{Degree measure}\times \dfrac{\pi}{180^\circ}[/tex]
The radian measure of -60 degrees.
[tex]\text{Radian measure}=-60^\circ \times \dfrac{\pi}{180^\circ}[/tex]
[tex]\text{Radian measure}=-\dfrac{\pi}{3}[/tex]
Therefore, the radian measure of the given degree measure is [tex]-\dfrac{\pi}{3}[/tex].
if 2 apples cost 0.80 what is the cost of three apples
Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?
A.27/2
B.42
c.18 ¾
D.21.1
PLS I NEED HELP
Answer:
C
Step-by-step explanation:
70% of the 60 coffee mugs at Zeke's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?
Answer:
42
Step-by-step explanation:
Since 70% is just 70/100 or 0.70, you would multiply it by the 60 coffee mugs to find out how many of the coffee mugs are dirty.
Work:
60 * 0.70 = 42
This means that 42 of the coffee mugs are dirty out of the 60 coffee mugs.
A school has 320 girls and 250 boys.
The probability that a girl is left-handed is 0.2
The probability that a boy is left-handed is 0.1
Estimate the number of left-handed students in the school.
Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Helpp ASAP!!!! I would appreciate it
Answer:
C. -5
The slope is -5.
Step-by-step explanation:
Hope this helps! :)
PLEASE HELP !
Does the function f(x) = 2(x-2)^2+3 have a minimum or a maximum? What is the minimum or maximum? Justify your answer.
Answer:
Hello. It does have a maximum and minimum. You would have to use the formula x=-b/2a to find both of them. So first you have the equation which is x=2(x-2)^2+3, which you would have to make it an equation which is equals to F(x)=2x^2-8x+11. So b would be 8 and a would be 2. Enter them into the formula. So the answers would be (2,3)
Step-by-step explanation:
number 9 help, please
Answer:
Unique
Step-by-step explanation:
HELP HELP HELP pls pls
Answer:
6
Step-by-step explanation:
[tex]\triangle{PQR}[/tex] is a right triangle. Use the Pythagorean Theorem:
(leg)^2 + (leg)^2 = (hypotenuse)^2
The length of PR is r + 4; it's the hypotenuse.
[tex]PQ^2+QR^2=PR^2[/tex]
[tex]r^2+8^2=(r+4)^2 \\ r^2+64=r^2+8r+16 \\ 64=8r+16 \\ 48=8r \\ 6=r[/tex]
Remember, to expand [tex](r+4)^2[/tex] you multiply [tex](r+4)(r+4)[/tex]
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
NEED HELP NOW!!!!!!!!!!!!!!!
Answer:
a. 3
b. 3.5
c. 9
d. 12
e. 8
f. 1.5
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
Answer:
Interest = $ 90000
Step-by-step explanation:
Given, Principal= $15000
Rate = 3%
Time = 5 years
Interest = P × R × T/100
Therefore, Interest = 15000 × 3 × 5/100
(dividing 100 by 5 to get 20)
= 15000 × 3 × 20
= 90000
if it helps don't forget to like and mark me down
what is the answer to this fraction 4/8+4/8+2/8
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1 1/4
Explanation:
4/8 + 4/8 = 8/8 = 1
1 + 2/8 = 1 + 1/4 = 1 1/4
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
10/8 as a mixed number or 1 and 2/8
Step-by-step explanation:
4/8+ 4/8=8/8+2/8=10/8
10/8
Add 2 to both sides of the equation.
So, I have this half-done equation, and the next step is to add 2 to both sides, how do I do that? Please help with a legit answer, thankyou so much!
x^3=∛(x-2)
Answer:
x = -1.135 (approx).
Step-by-step explanation:
x^3 = ∛(x - 2)
Cube both sides:
x^9 = x - 2
Subtract x and add 2 to both sides:
x^9 - x + 2 = 0
We could solve this for real roots by drawing a graph.
I did this and got one root x = -1.135 (approx).
The other 8 roots are complex.
b) Find the measurements of a rectangk with a perimeter of
26cm and an area of 1600cm
Answer:
b) Find the measurements of a rectangk with a perimeter of
26cm and an area of 1600cm
There is no way to get an area of 1600 cm using a perimeter as small as 26 cm.
Step-by-step explanation:
perimeter = 2(L + W) = 26, then L + W = 13, so L = 13 - W
area = L x W = 1600
substitute for L:
(13 - W)W = 1600
13W - W² = 1600
-W² + 13W = 1600
-W² + 13W - 1600 = 0
W² - 13W + 1600 = 0
Not possible
What is the decimal equivalent of 7/8
Answer:
0.875
Step-by-step explanation:
to convert the fraction 7/8 to decimal
therefore 7 divided 8 = 0.875
Plz help me this is to much
Please help.
Is algebra.
Answer:
Step-by-step explanation:
Help! Thanks if you do! ✨✨
Answer:
I would say either A or C
Step-by-step explanation:
find the area of the cube
Answer:
125 in^3
Step-by-step explanation:
5in x 5in x 5in = 125in^3
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
Ms.Femandez needs to buy new carpet for her bedroom floor. A model of her bedroom floor is shown on the right .If each square foot of carpet costs $2 how much will it cost her to buy the carpet?
Correct Questions:
The correct question has a diagram attached to it which has dimensions of the bedroom floor available which are 15 by 18 feet.
Answer:
Answer is 540 $
Step-by-step explanation:
We will first find the area of the room
Area = Length x Width
Area = 15 x 18 = 270 sq feet
She needs 270 square feet of carpet.
one square feet costs 2 $
so, total cost of carpet = 270 x 2 = 540 $
A ball is dropped from a height of 12 feet and returns to a height that is one-
half of the height from which it fell. The ball continues to bounce half the
height of the previous bounce each time. How far will the ball have traveled
vertically when it hits the ground for the fourth time? It might be helpful to
sketch the path of the ball.
Answer:
33.75 ft
Add up every time it travels both up and down.
12 + 6 + 6 + 3 + 3 + 1.5 + 1.5 + .75 = 33.75 on the fourth landing.
Step-by-step explanation:
The ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The ball is dropped from a height of 12 feet, so we can represent this with the point (0,12) on a coordinate plane.
The ball then bounces up to a height of 6 feet (half the height of the previous bounce), so we can represent this with the point (1,6) on the coordinate plane.
The ball then bounces down to a height of 3 feet (half the height of the previous bounce), so we can represent this with the point (2,3) on the coordinate plane.
The ball then bounces up to a height of 1.5 feet (half the height of the previous bounce), so we can represent this with the point (3,1.5) on the coordinate plane.
The ball then hits the ground for the fourth time.
The distance of the first bounce is 12 - 6 = 6 feet.
The distance of the second bounce is 6 - 3 = 3 feet.
The distance of the third bounce is 3 - 1.5 = 1.5 feet.
The distance of the fourth bounce is 1.5 - 0 = 1.5 feet
The total distance the ball traveled vertically is: 6 + 3 + 1.5 + 1.5 = 12 feet
Hence, the ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
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Need a little help :,)
Answer:
A a. 25 minutes
Step-by-step explanation:
Let x = time in minutes.
Aquarium I contains y water at time x.
y = 4.6 + 1.2x
Aquarium II contains y water at time x,
y = 54.6 - 0.8x
We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.
4.6 + 1.2x = 54.6 - 0.8x
Subtract 4.6 from both sides.
Add 0.8x to both sides.
2x = 50
Divide both sides by 2.
x = 25
Find the volume of the composite solid below. If needed,round to the nearest hundredth. Use 3.14
Answer:
429.42 cm
Step-by-step explanation:
Volume of a rectangle prism:
V = whl
V = (5)(12)(7)
V = 420
Volume of a cylinder:
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
Combined:
420 + 9.42
429.42
Solve the right triangle. Round decimal answers to the nearest tenth.
Answer:
See solution below
Step-by-step explanation:
According to pythagoras theorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 + b^2
100 = 16 + b^2
b^2 = 100-16
b^2 = 84
b = √84
b ≈ 9
Using SOH CHA TOA identity
sin B = AC/AB
Sin B = 9/10
B = arcsin0.9
B ≈ 64degrees
sinA = BC/AB
Sin A = 4/10
A = arcsin0.4
A ≈ 24degrees
A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 90 centimeters. If the company used 30,520.8 cm
of steel, how many rods did it make?
Use 3.14 for x, and do not round your answer.
Answer:
26.986 rods
Step-by-step explanation:
What is the solution to this inequality?
I need help ASAP
Answer:
b option
x<-4 is the correct answer
1
01:29:24
If a translation (x, y) - (x + 6. y-10) is applied to
figure ABCD, what are the coordinates of D'?
O (-5,-2)
O (1.-12)
O (4, -15)
O (-9, -6)
Answer:
a
Step-by-step explanation:
The coordinates of D'(1, -12).
What is Transformation?A transformation is a method of modifying a polygon or other two-dimensional object on a plane or coordinate system.
Dilation - When the image becomes larger or smaller than the preimage, it is said to be "shrinking" or "enlarging."A reflection is a mirrored preimage; "a flip.""A turn" - The picture is the preimage rotated around a fixed point.Shear - All of the points along one side of a preimage remain stationary, while all of the other points move parallel to that side in proportion to the distance from the given side; "a skew."Translation - The image is offset from the preimage by a constant value; "a slide."If a translation (x, y) - (x + 6. y-10) is applied to figure ABCD.
Then, the coordinates after Translation
A (-3, 4) -----> A'( -3 +6 , 4 -10)-----> A'(3, -6)
B (3, 4) -----> B'( 3 +6 , 4 -10)-----> B'(9, -6)
C( 1, -2) ----> C' (1 + 6 , 2 -10) -----> C'(7, -8)
D(-5, -2) ---------> D' (-5 +6, -2 -10) --------> D'(1, -12)
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Find the area of the figure.
Answer:
area is 192
Step-by-step explanation:
yw