The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees
How to determine the central angle?The given parameters are:
Area = 75π cm^2Radius, r = 15 cmThe area is calculated using
Area = α/360 * πr^2
So, we have:
α/360 * π * 15^2 = 75π
Evaluate the exponent
α/360 * π * 225 = 75π
Divide both sides by 75π
α/360 * 3 = 1
Multiply
α/120 = 1
Multiply both sides by 120
α = 120
Hence, the measure of the central angle that forms the sector is 120 degrees
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Find the area using the given image.
Answer:
4.
Step-by-step explanation:
Area = 1/2 * base + height
= 1/2 * 2 * 4
= 4 unit^2.
I think it’s b but I’m not sure
Does Anyone know #19?
[tex]\text{Endpoints of diameter,}~~ A(4,6)~ \text{and}~ B(-3,-1)\\\\\text{Diameter,}~AB = \sqrt{(4+3)^2+(6+1)^2}\\\\~~~~~~~~~~~~~~~~~~~=\sqrt{7^2+7^2}\\\\~~~~~~~~~~~~~~~~~~~=7\sqrt2\\\\\text{So , radius}~ = \dfrac{AB}2 = \dfrac{7\sqrt 2}2 =4.9~\text{units.}\\\\\text{Hence the answer is B.}[/tex]
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $65,000 10-year term policy for a 20-year-old female. Round your answer to the nearest cent
Answer:
273.00
Step-by-step explanation:
The number of hours, t, it takes a boat to travel 15 miles upstream is represented
by the given equation.
15
t=
r-c
Which equation represents the rate of the current, c, in terms of r, the rate of the
boat, and t?
A.
15 - rt
CE
15-16
BC=
rt - 15
c = - 7
C. C= -15+r+t
D. C = 15 -r-t
The equation of c is an illustration of subject of formula
The equation of c in terms of r and t is c = r - 15/t
How to determine the equation?The equation is given as:
t = 15/(r - c)
Cross multiply
t(r - c) = 15
Divide both sides by t
r - c = 15/t
Subtract r from both sides
-c = -r + 15/t
Multiply both sides by -1
c = r - 15/t
Take LCM
[tex]c = \frac{rt - 15}{t}[/tex]
Hence, the equation of c in terms of r and t is [tex]c = \frac{rt - 15}{t}[/tex]
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whats 4 x 4 x 4 divided by 2
Answer:
32
Step-by-step explanation:
4×4×4=64 then you divide 2 will be 32
Answer:
32
Step-by-step explanation:
4x4=16
16x4=64
64/2=32
[tex]Hence,TheAnswerTo...\\\frac{4^{3} }{2} =32[/tex]
please help !!! im so lost with this
Answer:
hj means has a job
nj means no job
Step-by-step explanation:
If you were graphing y < -3x + 5, would you need a solid or broken line?
solid
broken
Answer:
broken
Step-by-step explanation:
when there isn’t an equals sign the line will always be broken
f(x) = sinx - 3 cosx is a sinusoid.
True or false
===========================================================
Explanation:
The function can be broken down into the form
f(x) = g(x) - 3*h(x)
where,
g(x) = sin(x)
h(x) = cos(x)
Both g and h are sinusoidal with the same period of 2pi. Therefore, the linear combination of these functions is also sinusoidal with the same period of 2pi. If the periods didn't match up, then it's likely the function isn't sinusoidal and instead some other complicated crazy curve.
Extra notes:
A sinusoidal curve is one that has a steady up and down smooth sine curve to it. Think of a simple ocean wave. A cosine curve is really a sine curve in disguise. It's been phase shifted 90 degrees or pi/2 radians. It's not a coincidence that the word "sine" is found in "cosine".When I say "period of 2pi", I mean the curve repeats itself every 2pi radians. This is equivalent to 360 degrees. The repeating pattern goes on forever.In PQR, P = 90°, Q = 40° and PR =9cm. Find the length of QR .
Answer:
QR = 14.00 cm to the neatest hundredth.
Step-by-step explanation:
This is a right triangle with < P = 90.
So QR is the hypotenuse.
< Q is the angle opposite to the line PR.
sin Q = opposite/hypotenuse = PR/QR
sin 40 = 9/QR
QR = 9/sin40
= 14.002 cm.
Matt has a box that measures 23 feet long and 16 feet wide. The volume of the box is 4,416 cubic feet. What is the height of the box in yards?
Answer:
ok
Step-by-step explanation:
Below is the table of values of a function. Write the output when the input is n
input 3 5 9 n
output 1 3 7 ?
what is the last output number?
Answer:
N=17
?=15
Explanation;
Check out my attached work
Hope it helps, let me know if you have any questions
vertex (-3, -3), point (2,97) find equation of parabola in vertex form
Answer:
y = 4(x+3)^2 - 3
Step-by-step explanation:
Vertex form y = a(x+3)^2 -3 sub in 2,97 to calculate a
97 = a(2+3)^2 - 3
a = 4
Solve u^2= -25, where u is a real number.
Simplify your answer as much as possible.
If there is more than one colution
the answer is ±5i :)
What is the multiplication problem that means the same thing as the division problem 1/3 ÷ 7?
Answer:
1/21 * 7 = 1/3
Step-by-step explanation:
The numbers in 1/3 divided by 7 are labeled below:
1 = numerator3 = denominator7 = whole numberTo make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:
1
-------
3 x 7
=
1
-----
21
Thus, the answer to 1/3 divided by 7 in fraction form is:
1/21
To make the answer to 1/3 divided by 7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
1/21 = 0.04761904761
1/21 * 7 = 0.3333333333.... ( 1/3 )
y is inversely proportional to a cubed
when a = 2 and y = 10
a is directly proportional to x
when x = 4 and a = 20
find a formula for y in terms of x
Answer:
[tex]y = kx \\ formula \: connecting \: y \: and \: x[/tex]
The base of a solid is a circle centered at the origin with a radius r, and every plane section perpendicular to a diameter is a square. What is the volume of the solid
The volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The equation of the circle can be given as,
[tex]x^2+y^2=r^2[/tex]
Here, (r) is the radius of the circle.
Rewrite this equation as,
[tex]y^2=r^2-x^2\\y=\sqrt{r^2-x^2}[/tex]
This will give you the half the length of the side. Thus, the length of the side of the square is,
[tex]s=2y=2\sqrt{r^2-x^2}[/tex]
The area of the square it square of its side. Thus, the area of the square is,
[tex]A(x)=s^2\\A(x)=(2\sqrt{r^2-x^2})^2\\A(x)=4(r^2-x^2})[/tex]
The volume of the solid can be got by integrating the area of the cross-section.
[tex]V=\int\limits {A(x)} \, dx[/tex]
Here, A(x), provides the area of the square at the point x. Thus,
[tex]V=\int\limits {A(x)} \, dx\\V=\int\limits_{-r}^r {4(r^2-x^2)} \, dx\\V=[ {4(r^2x-\dfrac{x^3}{3})}]^r_{-r}\\V= {4(r^2(r)-\dfrac{(r)^3}{3})}- {4(r^2(-r)-\dfrac{(-r)^3}{3})}\\V=4[r^3-\dfrac{r^3}{3}}+ {r^3-\dfrac{r^3}{3}]\\V=\dfrac{16r^3}{3}[/tex]
Thus, the volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.
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A farmer need to build a goat pen. The pen will be 5 meters wide and 16 meters long. The fencing material costs $8. 00 per meter. How much will it cost to buy enough fencing material to build the goat pen
Answer:
$336
Step-by-step explanation:
Find the perimeter, 5x2 + 16x2 = 10 + 32 = 42
Fencing material = $8 per 1 meter
42 meters, so 42 * 8 = $336
20 points and brainliest to the best correct answer, do and show work for numbers 13 and 15. Questions are in the photo, thank you.
Answer:
13. x=11; MN=65°; NP=115°; NQP=245°
15. x=9; AD=108°; BC=23°; DC=139°; DBC=221°
Step-by-step explanation:
13.The marked arcs are congruent, so we can equate the given expressions for their measures:
10x -45 = 6x -1
4x = 44 . . . . . . . . . add 45-6x
x = 11 . . . . . . . . . . divide by 4
The arc measures are found by using the value of x in the corresponding expression. Arcs around a circle total 360°.
arc MN = (10(11) -45)° = 65°
arc NP = 180° -65° = 115°
arc NQP = 360° -NP = 245°
__
15.The sum of arcs around a circle is 360°. We can use this fact to write an equation involving the given expressions. Clockwise from A, we have ...
90 +(2x +5) +(17x -14) +12x = 360
31x = 279 . . . . . . . subtract 81, collect terms
x = 9 . . . . . . . . . divide by 31
The arc measures are found by using the value of x in the corresponding expression.
arc AD = 12(9)° = 108°
arc BC = (2(9) +5)° = 23°
arc DC = (17(9) -14)° = 139°
arc DBC = 360° -DC = 221°
Jason's summer job allowed him to save $1200
to use as spending money throughout the
upcoming school year. To make sure he has
enough money, Jason plans to spend the same
amount each month and not run out of money
until the end of the school year in 10 months.
120x + y = 1200
Answer:Slope=-240.000/2.000=-120.000
Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
120*x+y-(1200)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 120x+y-1200 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
Six different names were put into a hat. A name is chosen 125 times and the name Grace is chosen 17 times. What is the experimental probability of the name Grace being chosen? What is the theoretical probability of the name Grace being chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.
Question content area bottom
The experimental probability of choosing the name Grace is __
(Type an integer or a simplified fraction.)
Answer:
Step-by-step explanation:
The experimental probability of choosing Grace is 13.6% (17/125*100)
The theoretical probability of choosing Grace is 16.67% (1/6)
Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.
What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)
The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
Equation of a circleThe standard equation of a circle is expressed as:
x^2 + y^2 + 2gx + 2fy + c = 0
where:
(-g, -f) is the centre of the circle
Given the equations
x^2 +y^2 – 12x – 2y +12 = 0
Compare
2gx = -12x
g = -6
Similarly
-2y = 2fy
f = -1
Centre = (6, 1)
Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
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#SPJ4
Find the Surface Area.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Surface areas and volumes.
Here we will find surface areas by adding individual parts.
Surface area ==> Small rectangle + big rectangle + base rectangle + 2* right angled triangles.
so we get as,
area of shape = 721.1 yards.
option D.) is correct.
Can someone please help me?
Answer:
24
Step-by-step explanation:
area = wl (6×4 = 24)
w width l length
What is the rate of change and y intercept
Answer:
5
Step-by-step explanation:
here are two column vectors
Answer:
[tex] a = ( \frac{ - 6}{2} )[/tex]
Step-by-step explanation:
-2g=?
[tex] - 2( \frac{3 }{ - 1} ) \\ \\ ( \frac{ - 6}{2} )[/tex]
What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?
Answer:
5
Step-by-step explanation:
This line equation is in y = mx + b form m will be the slope
m = 5 parallel line will have same slope = 5
Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM withdrawals cost $2. At the beginning of the month, Patty’s checking account balance is $700. She deposited $300 from her job and withdrew $20 in cash from a nonbank ATM. She wrote a check for $100 to a local charity. What is her checking account balance at the end of the month?
A) $958
B) $868
C) $728
D) $658
Answer:
B) 868
Step-by-step explanation:
1. You add 700+300 which is 1000
2. You subtract the amount wasted or withdrawn which will get you 880
3. You subtract the fees which will then get you 868 as your answer
If a car travels 213 miles in 3 hours, how many miles will the car drive in 5 hours? pls help
Answer:
355 miles
Step-by-step explanation:
Figure out how far the car travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 213 / 3 = 71 miles.
So we know the car travelled 71 miles in 1 hour.
Now just multiply the miles by 5 to figure out the answer - 71 * 5 = 355 miles
:)
which set of side lengths would form a right triangle