Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
write the linear function. i will make brainylist
Answer:
y=-2x+5
Step-by-step explanation:
To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).
The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):
(0,5) and (1,3)
m=(3-5)/(1-0)
m=-2
We can see from the graph that the line cuts the y-axis at y=5, so c=5.
Now that we know m and c, we plug these values into our formula to get y=-2x+5
Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answer:
4 miles/1 day=56 miles/X days
X=56/4=14
Step-by-step explanation:
Answer:
She runs 14 miles.
explanation:
I got it right on my test (before I saw the other answer).
how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?
Answer:
0.6
Step-by-step explanation:
Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?
Answer:
-2
Step-by-step explanation:
Integers can be positive or negative.
Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?
Answer: 420
Step-by-step explanation:
I took the test and got it right lol
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
9/10 times 1/5 PLS HURRY I ONLY HAVE 2 MINUTS
please helppp
Simplify.
(-2)^-3
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
What is the volume?
7 mm
7 mm
1 mm
Answer:
(7)(7)(1)=49 mm^3
Step-by-step explanation:
Answer:
49mm³
Step-by-step explanation:
[tex]v = 7mm \times 7mm \times 1mm = 49m {m}^{3} [/tex]
If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?
Answer:$1312.5
Step-by-step explanation:
1500x1.875=2812.5
2812.5-1500=1312.5
Drag steps into order to correctly solve the equation x−27=62 for x.
Answer:
x - 27 + 27 = 62 + 27
x - 0 = 89
(annex rule)
x = 89
Step-by-step explanation:
please mark brainlist
Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?
Find the missing length of the triangles it’s OK if you can only do one
Answer:
5) 9
6) 11 2/3
Step-by-step explanation:
Use the Pythagorean Theorem.
5) a²+5.6²=10.6²
a²+31.36=112.36
a²=81
a=√81
a=9
6) a²+4²=12.3333²
a²+16=152.11111
a²=152.11111-16
a²=136.1111
a=√136.1111=11.6666
it’s MATH who knows how to do this i’m down bad
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
how to answer dissimilar and similar fraction using addition and subtraction?
Answer:
Make their denominators equal using the concept of least common multiple. Then subtract their numerators accordingly. Rewrite each fraction to its equivalent fraction with a denominator equal to the LCM = 30, then subtract their numerators. Make sure to reduce your answer to the lowest term.
Step-by-step explanation:
Jane needs to miss fewer than 1__6of the words on her spelling list. If there are 18 words, how many can she miss? Explain.
Answer:
Assuming that you mean 1/6, the answer would be 3 .
Step-by-step explanation:
1/6 x 18 is equal to three.
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!
Step-by-step explanation:
4+12x=7
12x=7-4
12x=3
X=3/12
X=0.25
Solve the proportion 2x+3/3 = 9/27
Answer:
-0.3333333333
Step-by-step explanation:
Given the equation 3x + y = 14, determine the slope of the line
Answer:
-3 is the slope of the line.
Step-by-step explanation:
You have to rearrange the equation to slope intercept form, y=mx+b.
3x+y=14
-3x -3x
y=-3x+14
Answer:
3x + y = 14
Step-by-step explanation:
rewrite in y = mx + b format
i.e y = 3x - 14
where m = slope
therefore m=3
Please please help me in the question someone
Answer:
perimeter is 34 cm
Step-by-step explanation:
Notice you need to find the value of two sides whose measure is not given. The first one is horizontal and 10 cm - 4 cm = 6 cm in length
The second one is vertical with a measure of 7 cm - 4 cm = 3 cm
Then, the addition of all sides going clockwise becomes:
7 + 10 + 4 + 6 + 3 + 4 = 34 cm
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
Bumper Cars:
6 minutes: 8 tickets
8 minutes:12 tickets
Which one gives you more time for your money?
Answer:
The option of 6 minutes with 8 tickets given more time for the money.
Step-by-step explanation:
Which one gives you more time for your money?
We have to find the time per ticket, which is the number of minutes divided by the number of tickets.
6 minutes: 8 tickets
6/8 = 0.(60/8) = 0.75 minutes per ticket.
8 minutes:12 tickets
8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.
So the option of 6 minutes with 8 tickets given more time for the money.
consider the line y=6/7x-7
find the equation of the line that is perpendicular to the line and passes through the points (6,3)
find the equation of the line that is parallelto the line and passes through the points (6,3)
Answer:
y = -7/6x + b
Step-by-step explanation:
Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.
y = 6/7x -7 (6,3)
y = -7/6x + b
3 = -7/6(6) + b
3 = -7 + b
7 7
10 = b
y = -7/6x + b
Answer:
see below
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will have a slope of -7/6.
Plug this value (-7/6) into your standard point-slope equation of y = mx + b.
y = -7/6x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -7/6(6) + b
To find b, multiply the slope and the input of x (6)
3 = -42/6 + b
3 = -7 + b
Now, add 7 to both sides to isolate b.
10 = b
Plug this into your standard equation.
y = -7/6x + 10
This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)
If two lines are parallel to each other, they have the same slope.
The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.
Plug this value (6/7) into your standard point-slope equation of y = mx + b.
y = 6/7x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = 6/7(6) + b
To find b, multiply the slope and the input of x (6)
3 = 36/7 + b
Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.
21/7 - 36/7 = b
-15/7 = b
Plug this into your standard equation.
y = 6/7x - 15/7
This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)
Hope this helps!
Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *
SLOPE INTERCEPT FORM: y = 7x −23
5 for $4.45 or 8 for $7.28
Answer:
5 for $4.45
Step-by-step explanation:
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
Determine if the following function is even, odd or neither.
f(x) = 4x2 – 8x + 5
9514 1404 393
Answer:
neither
Step-by-step explanation:
A polynomial consisting of even-degree terms only is even.
A polynomial consisting of odd-degree terms only is odd.
The given f(x) polynomial has both even- and odd-degree terms, so is neither.