[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]
Solve the system of equations using the substitution method Show all work,
y = 5x - 7
3x + 2y = 12
Answer: Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.
y=5x−7
−2y=3x−12
Divide each term in the equation by −2.
y=5x−7
y=−3x/2+6
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
(2,3)
Draw a model of 1/2 divided by 4 please help yall
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4 = 8 1/8ths
Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.
Which of the following is a true statement?
He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.
Answer:
He is incroredct because he should have multiplied the bases
Step-by-step explanation:
Answer:
A: He is incorrect because he multiplied the bases.
Step-by-step explanation:
The correct answer would have been: [tex]6^{9}[/tex]
Tom has read 5/8 of the 360 pages in the book how many pages are left to read?
Answer:
135
Step-by-step explanation:
5/8=0.625
1-0.625=0.375
0.375 times 360=135
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
[tex]\sf\huge\underline{\star Solution:-}[/tex]
Given that:Hypotenuse of a right triangle = [tex]\sf\blue{16cm.}[/tex]One side (leg) = [tex]\sf\blue{9cm.}[/tex]To Find:Measure of another side(leg).Solution:-[tex]\rightarrow[/tex] As we know that,
[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)
So, using this formula we can find measure of another side(leg).
[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)
Here I am putting the value of hypotenuse in C because it is the longest side of triangle.[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]
Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]
____________________________________
Hope it helps you:)
The mass of the sun is 2 × 1030 kg, and the distance between neptune and the sun is 30 au. what is the orbital period of neptune in earth years? 30 earth years 164 earth years 3.8 × 1011 earth years 2.3 × 1017 earth years
The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
What is the mathematical expression of Kepler's law ?
[tex]T^2 = 4\pi ^2a^3/GM[/tex]
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
[tex]T^2 = a^3[/tex]
[tex]T = \sqrt(a^3)[/tex]
[tex]T = \sqrt(30^3)[/tex]
[tex]T = 164.3[/tex]
Therefore, the Neptune's time period of orbit is 164.3 earth years.
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Answer:
b. 164 earth years
Step-by-step explanation:
just took the quiz 2022
HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:
Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10
A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?
A. 24
B. 11
C. 6
D. 9
Answer:
D.
Step-by-step explanation:
Pls just help out 14 points plssssss
Answer:
Volume = 1/3 ft^3
Step-by-step explanation:
volume of prism is multiplying the dimensions
Volume = (1/3 ft)x(2/3ft)x(1 1/2ft)
Volume = (1/3 ft)x(2/3ft)x( 3/2ft)
Volume = (1x2x3)/(3x3x2) ft^3 = 6/18 ft^3 = 1/3 ft^3
Option B is correct, the volume of the right rectangular prism is 1/3 cubic feet.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a right rectangular prism.
The length is [tex]1\frac{1}{2}[/tex] feet
The width is 2/3 feet
The height is 1/3 feet.
Volume=Length×width×Height
= [tex]1\frac{1}{2}[/tex] ×2/3×1/3
=3/2×2/3×1/3
=1/3 cubic feet
Hence, Option B is correct, the volume of the right rectangular prism is 1/3 cubic feet.
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Which expression should you simplify to find the 90% confidence interval,
given a sample of 65 people with a sample proportion of 0.42?
O A. 0.42
1.645-0.42
165
OB. 0.42 65
0.42(1–0.42
1.645
O c. 0.42 +1.645.
0.42(1-0.42)
65
O D. 0.42 +1.645.
V0.42(1–0.42)
65
Answer:
i think is would be D
hope that helps if not i can change it
Step-by-step explanation:
Solve. 3x+2=17
Question 7 options:
x=2
x=5
x=8
x=4
Answer:
X = 5
Step-by-step explanation:
3x + 2 = 17
3x = 7-2
3x = 15
x = 5
Answer:
x=5
Step-by-step explanation:
3x+2=17
or,3x=17-2
or,3x=15
or,x=15/3
or,x=5
PART A
Mrs. Jackson is planning an outdoor barbeque. She will cook 2 ears of corn per person plus two extra. If 16 people plan to come, how many ears of corn will Mrs. Jackson cook?
Answer:
34
Step-by-step explanation:
2 x 16 + 2
_________
2 x 16 = 32
_________
32 + 2 = 34
Answer:
30 or 64
Step-by-step explanation:
30 Because... 2 corns for every one till they rech 15..
that's mean (2 x 15)
64 Because... 2 corns plus 2 extra if they rech 16....
that's mean (4x16)
Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
(1,5).
Answer:
y = (x - 3)² + 1
Step-by-step explanation:
the equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute (1, 5 ) into the equatiuon
5 = a(1 - 3)² + 1 ( subtract 1 from both sides )
4 = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
then equation of quadratic function is
y = (x - 3)² + 1
Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function
The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
How to determine the factored form?The expression is given as:
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
Express as difference of two squares
f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)
Expand
f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)
Factorize the expression
f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))
Factor out x + 1
f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
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Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?
Answer:
10/20 or 1/2 it is 50% chance that she pass and 50% that she fail
Step-by-step explanation:
The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.
The probability of guessing correctly on any individual question is 0.5 (50%).
If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.
The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:
[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]
For k = 10 (minimum number of correct answers to pass):
[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]
P(X = 10) = 0.176197052
So, the probability is 0.176 or about 17.6%.
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Help! Can’t figure out
Answer: Number 11 is 21/5
Number 10 is 35/96
Step-by-step explanation:
Pythagorean Theorem. Show your work.
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
12^2 + 15^2 = c^2
144 + 225 = c^2
144 + 225 = 369^2
√369 = 19.21
Evaluate the expression for x = 3 and y = 6.
5(x2 + y) + y2
Answer:
48
Step-by-step explanation:
5(x2+y)+y2
5 x (3 x 2 + 6) + 6 x 2
5 x 6 + 6 + 6 x 2
30 + 6 + 6 x 2
30 + 6 + 12
36 + 12 = 48
Here’s another geometry workbook question I need help with!
Answer: D
Step-by-step explanation:
please help me i'll do anything
Step-by-step explanation:
Here are all the answers.
The bakers at healthy bakery can make 320 bagels in 10 hours. How many bagels can they make in 15 hours? What was the rate per hour?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Unitary method ~
[tex]\qquad \sf \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]
So, the rate per hour is 32 bagels ~
[tex]\qquad \sf \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]
[tex]\qquad \sf \dashrightarrow \:15 \: hr = 480\: bagels[/tex]
So, they can prepare 480 bagels in 15 hours
Answer:
480 bagels
Step-by-step explanation:
320 bagels in 10 hours.
⇒ 320 bagels = 10 hours
Divide 10 both sides to find the rate per hour:
⇒ 320/10 bagels = 10/10 hours
⇒ 32 bagels = 1 hours
Multiply 15 both sides to find the number of bagels in 15 hours
⇒ 32 bagels = 1 hours
⇒ 32 x 15 bagels = 1 x 15 hours
⇒ 480 bagels = 15 hours
NEED HELP!! THX! please answer part b, I already have part a.
Answer:
See below ~
Step-by-step explanation:
3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to itThe function can be written as :
aₙ₊₁ = 0.325aₙ + 15000Dwayne is making a documentary about the formation of rocks. He started on Wednesday with
a certain amount of film footage and then added 3.75 hours. Then, on Friday he cut 0.28 hours
of footage. Over the weekend he cut another 1.3 hours of footage. On Monday he added 1.25
more hours of footage and finally on Tuesday got rid of another 2.7 hours of footage to have his
final film length. If Dwayne started on Wednesday with 6.8 hours of footage, what was the final
length of his documentary? Round your answer to the nearest tenth if necessary.
Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 msrp, a 79% residual value, and a money factor of 0.00365. a. $358.64 b. $128.08 c. $169.17 d. $105.85 please select the best answer from the choices provided a b c d
Answer:
A
Step-by-step explanation:
i did this before and got it correct
How many milliliters are in 12.9 liters?
Answer:
12,900
Step-by-step explanation:
12.9 x 1000 = 12,900
Answer:
12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.
Find the reciprocal of 7/2 multiplied by 3/5
6/35
hope it helps...!!!
Answer:
(2/7) x (3/5)= fraction form: 6/35 decimal form: 0.1714285
Step-by-step explanation:
Which scatterplot shows a linear association?
Answer:
B
Step-by-step explanation:
A linear association means the function is a relation that can be shown with a line.
The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.
Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
[tex]8-6+4[/tex]
[tex]2+4\\6[/tex]
What is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon?
Answer:
14.49
Step-by-step explanation:
thats all folks i don't know why though