Answer:
Multiply 5/7 by 3
Step-by-step explanation:
To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.
what the heck is circumference???
Answer:
In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
Also In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Step-by-step explanation:
Most websites of information talk about this, but a simple example is " 1 : the perimeter of a circle The circle measures 22 inches in circumference. 2 : the external boundary or surface of a figure or object : periphery from the center to the circumference of the sphere."
Hope this helps, have a good day.
:)
please help me pleaseeee
Answer:
.45
Step-by-step explanation:
52+31=83
83-12=71
71+23=94
94=49=45
Determine the value of each expression.
i2 =
Please help me solve this. And please include explanation
Answer: B
Step-by-step explanation:
HELP ME I NEED HELP PLEASE I HATE MATH
Answer:
The first one is X=5.
The second one is X=8
Hope this helps!
Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant below the line y=5 and between the circles x2+y2=100 and x2−10x+y2=0.
First, complete the square in the equation for the second circle to determine its center and radius:
x ² - 10x + y ² = 0
x ² - 10x + 25 + y ² = 25
(x - 5)² + y ² = 5²
So the second circle is centered at (5, 0) with radius 5, while the first circle is centered at the origin with radius √100 = 10.
Now convert each equation into polar coordinates, using
x = r cos(θ)
y = r sin(θ)
Then
x ² + y ² = 100 → r ² = 100 → r = 10
x ² - 10x + y ² = 0 → r ² - 10 r cos(θ) = 0 → r = 10 cos(θ)
y = 5 → r sin(θ) = 5 → r = 5 csc(θ)
See the attached graphic for a plot of the circles and line as well as the bounded region between them. The second circle is tangent to the larger one at the point (10, 0), and is also tangent to y = 5 at the point (0, 5).
Split up the region at 3 angles θ₁, θ₂, and θ₃, which denote the angles θ at which the curves intersect. They are
θ₁ = 0 … … … by solving 10 = 10 cos(θ)
θ₂ = π/6 … … by solving 10 = 5 csc(θ)
θ₃ = 5π/6 … the second solution to 10 = 5 csc(θ)
Then the area of the region is given by a sum of integrals:
[tex]\displaystyle \frac12\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}\left(10^2-(10\cos(\theta))^2\right)\,\mathrm d\theta+\int_{\frac\pi6}^{\frac{5\pi}6}\left((5\csc(\theta))^2-(10\cos(\theta))^2\right)\,\mathrm d\theta\right)[/tex]
[tex]=\displaystyle 50\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\} \sin^2(\theta)\,\mathrm d\theta+\frac12\int_{\frac\pi6}^{\frac{5\pi}6}\left(25\csc^2(\theta) - 100\cos^2(\theta)\right)\,\mathrm d\theta[/tex]
To compute the integrals, use the following identities:
sin²(θ) = (1 - cos(2θ)) / 2
cos²(θ) = (1 + cos(2θ)) / 2
and recall that
d(cot(θ))/dθ = -csc²(θ)
You should end up with an area of
[tex]=\displaystyle25\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}(1-\cos(2\theta))\,\mathrm d\theta-\int_{\frac\pi6}^{\frac{5\pi}6}(1+\cos(2\theta))\,\mathrm d\theta\right)+\frac{25}2\int_{\frac\pi6}^{\frac{5\pi}6}\csc^2(\theta)\,\mathrm d\theta[/tex]
[tex]=\boxed{25\sqrt3+\dfrac{125\pi}3}[/tex]
We can verify this geometrically:
• the area of the larger circle is 100π
• the area of the smaller circle is 25π
• the area of the circular segment, i.e. the part of the larger circle that is bounded below by the line y = 5, has area 100π/3 - 25√3
Hence the area of the region of interest is
100π - 25π - (100π/3 - 25√3) = 125π/3 + 25√3
as expected.
SHORT ANSWER: What is the volume of the irregular shaped prism? Explain how you found its volume. Use ACE! (Answer, Computation, Explain)
Answer:
Total volume = 355 cm³
Step-by-step explanation:
Volume of the irregular prism = volume of part A + volume of part B
Volume of part A which is also a rectangular prism = Length × width × height
= (11 - 5) × 5 × 6
= 6 × 5 × 6
= 180 cm³
Volume of rectangular prism B = 5 × 5 × (6 + 5)
= 5 × 5 × 11
= 275 cm³
Total volume = 180 + 175
= 355 cm³
area of this circle
attachment below
Answer:
Step-by-step explanation:
Area of a circle = (3.14) (6)2
= 113.04
Answer:
Area = 36π
Step-by-step explanation:
Area of circle = π x r²
Area = π x 6²
= 36π
Simplify 7-5x-(3+5x)
Answer:
4-10x
Step-by-step explanation:
Hey there!
7 - 5x - (3 + 5x)
= 7 - 5x - 1(3 + 5x)
= 7 - 5x -1(3) - 1(5x)
= 7 - 5x - 3 - 5x
COMBINE the LIKE TERMS
= (-5x - 5x) + (7 - 3)
= -10x + 4
Therefore, your answer should be: -10x + 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The owner of a small store buys coats for $55.00 each. Answer parts a and b.
a. She sells the coats for $77.00 each. What percent of the purchase price is the sale price?
Answer:
120
Step-by-step explanation:
120 =1233
100= mk109
Please help me with the following math question:
Amelia goes to Macy’s and buys a pair of shoes. The shoes are $115.95 on sale for 30% off. What is the total she will pay with 6% sales tax included?
Answer:
$86.03
Step-by-step explanation:
30% off = 70% of total price. Add .06 to 1 for 6% sales tax.
($115.95*(.70))*1.06
= $86.03
At Max party,3/12 of the guests are 10 years old and 7/12 of the guests are 11 years old. What fraction of the guests are 10 or 11 years old.
Answer:
10/12
Step-by-step explanation:
3/12 + 7/12 = 10/12
What is the measurement of PR
Answer:
2.1/////_____\\\\\\
Step-by-step explanation:
hope this helps
-2n + 1.8 = 3.2
What value of n makes the equation true?
Answer:
1.4
Step-by-step explanation:
$_$
Answer:
I think its -4
Step-by-step explanation:
The sides of a square bedroom measure 3.5 yards. If carpet costs $16 per square yard, how much will it cost to cover the floor?
Answer:
$196
Step-by-step explanation:
3.5 ft x 3.5 ft = 12.25 sq ft x $16 = $196
please helppp-------------------------------
Answer:
c
Step-by-step explanation:
b + 12 < 3 ( subtract 12 from both sides )
b < - 9 ← Lola's solution
- 3b > 27
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
b < - 9 ← Jasmine's solution
Pand Q are points on the line
3x + 2y = 6
(a)
Complete the coordinates of P and Q.
Answer:
you are multiplying baceicly
Step-by-step explanation:
3×2=6
I NEED HELP PLEASE !!!
if 3 bars of chocolate cost $15.00 ghana cedis how much will 7 bars cost ratio
Answer:
7 chocolate bars will cost $35
Step-by-step explanation:
if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35
here is a ratio:
3 = 7
15 = 35
Find the mean of the data in the dot plot below.
Answer:
2.5
Step-by-step explanation:
1+2+3+4 = 10
10 divided by 4 is 2.5
Fred has 5 3/4 feet of yarn he will use 1/8 foot of yarn for each decoration he makes what's the greatest number of decorations can Fred make
Answer: Tthe greatest number of decorations can Fred make = 46
Step-by-step explanation:
Total yarn = [tex]5\dfrac34[/tex] feet [tex]=\dfrac{23}{4}[/tex] feet
Yarn required for each decorartion = [tex]\dfrac18[/tex] foot
The greatest number of decorations can Fred make = (Total yarn) ÷ (Yarn required for each decorartion)
[tex]=\dfrac{\dfrac{23}{4}}{\dfrac{1}{8}}\\\\\\=\dfrac{23}{4}\times8\\\\=23\times2\\\\=46[/tex]
Hence, the greatest number of decorations can Fred make = 46
Solve using elimination.
X + 8y = 3
2x – 4y = -14
Answer:
X+8y=3, 2x-4y=-14
Step-by-step explanation:
Since we do not know the values of x or y we have to leave them the way they are because you can't combine x and y
In triangle ABC, what is the measure of b if a = 6, C = 4,
and B = 75°?
A. 5.64
B. 6.29
C. 6.78
D. 7.02
Given:
In triangle ABC, a = 6, c = 4, and B = 75°.
To find:
The measure of b.
Solution:
According to the Law of Cosine:
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
Substituting the given values in the above formula, we get
[tex]b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)[/tex]
[tex]b^2=36+16-48(0.2588)[/tex]
[tex]b^2=52-12.4224[/tex]
[tex]b^2=39.5776[/tex]
Taking square root on both sides, we get
[tex]b=\sqrt{39.5776}[/tex]
[tex]b=6.291073[/tex]
[tex]b\approx 6.29[/tex]
The measure of side b is 6.29 units.
Therefore, the correct option is B.
C=S + 16
The variable s represents the number of additional sticks of butter Max buys, and the variable
c represents the total number of cakes he can bake. How many additional sticks of butter
does Max need in order to bake a total of 17 cakes?
Write an equation for :
Three times a number decreased by five is equal to twenty five.
Answer:
3x-5=25
Step-by-step explanation:
Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?
Answer:
Step-by-step explanation:
if anna is x years old and her sister is 5 five years older the eqasion would be x=5-5x but there is no further information for the answer. You need to know how old anna is to answer the question. Did you write it correctly
Answer:
It's X
Step-by-step explanation:
Because We know that Anna is X, and we also know that she is 5 years younger we know that her sister's age must be x, as it is asking for her age 5 years ago.
Dakota has 14 chocolates, 9 candies and 12 strawberries.
Find the integer that represents the total number of things that Dakota has.
Answer:
35
Step-by-step explanation:
14 + 9 + 12= 35
Write an
equation of the line with a slope of 0 and y-intercept of 5.
Y=
Plz help
Answer:
y = 5
Step-by-step explanation:
The equation is:
y = 0*x + 5
y = 5
Note that this is a horizontal line ()slope of 0) and that y=5 for every value of x.
Estimate the sum. Round each number to the nearest whole number, then add. 9 1/2 + 7 1/8
Answer:
12 1/8
Step-by-step explanation:
Expand.
Your answer should be a polynomial in standard form.
(x + 1)(x+8)
Stuck? Watch a video or use a hint.
Answer:
[tex]x^{2} +9x+8[/tex]
Step-by-step explanation:
Multiply using the terms using the FOIL (first, inside, outside, last) method.
x (x) = [tex]x^{2}[/tex]
1 (x) = 1x
8 (x) = 8x
1 (8) = 8
After combining like terms (1x + 8x) you are left with a polynomial expression in standard form.