If the Diameter is 10 inches, what is the Radius? 2.5 inches 5 inches 10 inches 20 inches
Answers
so 5 inches
Answer: Radius is always half of the diameter so the answer is 5
Step-by-step explanation:
Related Questions
I need help with my math
Answers
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answers
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
how do you do 4 3/16 + 1 1/10?
Answers
Answer:
5 23/80
Step-by-step explanation:
First, you need to find the least common multiple of 16 and 10 to add the fractions. The LCM of 16 and 10 is 80. You have to multiply 5 to 16 to get 80 and 8 to 10 to get 80, so you also multiply the numerator by those numbers. In the end you would get 4 15/80+1 8/80, which equals 5 23/80.
Zeros of polynomials (Factored Form)
Answers
The factored form of the polynomial is (a) p(x) = (x + 5)(2x + 3)(x - 2)
How to determine the factored form of the polynomial?The graph represents the given parameter
From the graph, we have the following zeros
x = -5, x = -1.5 and x = 2
The equation of the polynomial can be represented as
Product of (x - zeros) = 0
Substitute the known values in the above equation, so, we have the following representation
(x + 5)(x + 1.5)(x - 2) = 0
Multiply through the equation by 2
(x + 5)(2x + 2)(x - 2) = 0
Express as function
p(x) = (x + 5)(2x + 3)(x - 2)
Hence, the function is p(x) = (x + 5)(2x + 3)(x - 2)
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SIMPLIFY THIS FOLLOW EXPRESSION 35 +(-13)+(+8)- (-6)
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(35 + ( - 13) + ( + 8) - ( - 6) = \\ \)
\(35 - 13 + 8 + 6 = \)
\(35 - 13 + 14 = \)
\(35 + 1 = \)
\(36\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
=35-13+8+6
=36
please help! 50 points!
Answers
Answer:
a) forming a bell
b) 5
c) 4.7
d) mean
is the correct answer
pls mark me as brainliest
Find x and m < FCD
m < BCF = x + 78
m < FCD = x + 41
m < BCD = 95
Answers
Answer:
x = -12
m∠FCD = 29°
Step-by-step explanation:
Finding x:
Angle BCD is comprised of angles BCF and FCD, which means the sum of their measures equals the measure of angle BCD.Since m∠BCD = 95°, we can find x by the sum of the measures of angles BCF and FCD equal to 95:
m∠BCF + m∠FCD = m∠BCD
x + 78 + x + 41 = 95
(2x + 119 = 95) - 119
(2x = -24) / 2
x = -12
Thus, x = -12
Finding m∠FCD:
Now, we can find m∠FCD by plugging in -12 for x in x + 41:
m∠FCD = x + 41
m∠FCD = -12 + 41
m∠FCD = 29
Thus, m∠FCD = 29°
8j - k + 14 when j= 0.25 and k = 1 pls help
Answers
Answer:
wowo
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
Answers
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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If rolling a pair of dice, which result has the highest probability?
A) sum of 2
B) sum of 7
C) sum of 9
D) sum of 12
Answers
Answer:
7
Step-by-step explanation:
2) A 25 foot ladder leans against a house. The base of the ladder is 7 feet
away from the house. What is h, the height of the house? #2 pleasee
Answers
Step by step
Using Pythagorean theorem, we can find the height of the right triangle
We know a= 7, we know c= 25, we need to find b
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
Subtract 49 from both sides to solve b
49 - 49 + b^2 = 625 - 49
b^2 = 576
Take square root of both sides
√ b^2 = √ 576
b = 24 ft
Now according to the drawing, the ladder did not go to the top of the house, we need to add 11 ft to 24 ft = 35 ft total height
Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.
Height = 8.4 inches
Length = 5.3 inches
Answers
Answer:
44.52
Step-by-step explanation:
Volume = b * h
base times height
The height is 8.4 inches so 8.4 *
Length is the same as base so 5.4
8.4 * 5.4
Help please! I’ll give brainliest
Answers
2)y=x
3)y=7x
4)y=x+7
4)y=2x+1
6)y=12x+2
If you are surveying people about whether they like to swim, where are you more likely to get a random sample?
A) at a local supermarket
B) at a local beach
C) at a swimsuit store
D) outside a local swimming pool
Answers
Answer:
B) a local beach.
At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.
Step-by-step explanation:
Hope it helps! =D
An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
length of the legs can be modeled with the function L(x) = 2x.
Which function, p(x), can be used to find the perimeter of the triangle?
A. P(x)=x/2 √2 + x
B. P(x)=x √2 +2x
C. P(x) = x √2 + 4x
D. P(x) = 2x √2 + 4x
Hurry timed!!
Answers
The legs are defined by \(L(x) = 2x\). The Hypotenuse if defined by \(h(x) = L(x)\cdot \sqrt{2}\). The perimeter is defined by:
\(p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x\)
D. P(x) = 2x √2 + 4x
The perimeter of the isosceles right triangle will be P(x) = x√2 + 2x. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = x√2.
The combined length of the legs can be modeled with the function L(x) = 2x.
Then the perimeter of the isosceles right triangle will be
P(x) = h(x) + L(x)
P(x) = x√2 + 2x
Thus, the perimeter of the isosceles right triangle will be P(x) = x√2 + 2x.
Then the correct option is B.
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For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
Answers
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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Diane borrowed 8000 at a rate of 7%, compounded semiannually. Assuming she makes no payments, how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
Answer: $12088.55
Step-by-step explanation:
A = p(1+r/n)^nt
A = 8000(1+0.07/2)^2*6
A = 12088.54926
Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters
Answers
Answer:
5.928 liters is the correct answer
Step-by-step explanation:
Since 1 milliliter is 0.001 liters
Multiply both values by 5928.
1 x 5928 equals 5928 0.001 x 5928 = 5.928Therefore... 5928 milliliters equals 5.928 which is letter D
Answer:
The answer is 0.5928 liters
Step-by-step explanation:
1 liter is made of 1000 milliliters
So 5,929 ÷ 1000
gives us 0.5928
The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
of mean and standard deviation.
Answers
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x]. The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable. Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).Mean(μ) = (1+2+3+4+5+6)/6Mean(μ) = 21/6Mean(μ) = 3.5The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'. A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'. σ² = E[X²]−μ²σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²σ² = (91/6) - (3.5)²σ² = 15.167-12.25σ² = 2.917σ = √2.917Standard deviation (σ) = 1.708To learn more about variance, visit :
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guys I need help with this question
Answers
.....
...
Answer:
The experimental probability of tossing heads is
\(\frac{8}{20}=\frac{(8 \div 4)}{(20 \div4)} = \boxed{\frac{2}{5} } ✓ \\ \)
D. 2/5 is the right answer.With aging, body fat increases and muscle mass declines. The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years. Use this information to complete parts (a) through (c) below.
Answers
The estimate for the percent body fat in 75-year-old men would be 24%.
How do we calculate?with aging, body fat increases and muscle mass declines, and this means that that the percent body fat is likely to increase as the age progresses.
Looking at the given vertical components, we see that the values are decreasing as we move from top to bottom and can be inferred as that the percent body fat decreases as the age increases.
The horizontal component for the age are :
15
25
35
45
55
65
75
The age values are evenly spaced. In this case, the difference between each age value is 10.
The decreasing trend of the vertical components and evenly spaced data, we can estimate the percent body fat in 75-year-old men to be closer to the value of 24.
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What is the length of this downhill track?
Answers
Answer: 10
Step-by-step explanation:
A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups
Answers
Answer:
Kilograms
Step-by-step
A meter is distance
A kilogram is weight
A liter is related to ounces
A cup is how much of something
2tan(x/2)- csc x=0 interval [0,2pi)
Answers
Answer:
\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)
Step-by-step explanation:
Given trigonometric equation:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:
\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)
Therefore:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)
\(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)
\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)
\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)
Simplify the numerator:
\(\dfrac{1-2\cos x}{\sin x}=0\)
Multiply both sides of the equation by sin x:
\(1-2 \cos x=0\)
Add 2 cos x to both sides of the equation:
\(1=2\cos x\)
Divide both sides of the equation by 2:
\(\cos x=\dfrac{1}{2}\)
Now solve for x.
From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:
\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)
Therefore, the values of x in the given interval [0, 2π), are:
\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)
what's the inverse of f(x)=(x+3)^5
Answers
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
if a(x) = 3x+1 and b(x) = \(square root of x-4\), what is the domain of (boa)(x)
Answers
The domain of (boa)(x) is [1, ∞].
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.
Based on the information provided above, we have the following functions:
a(x) = 3x+1
\(b(x) = \sqrt{x-4}\)
Therefore, the composite function (boa)(x) is given by;
\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)
By critically observing the graph shown in the image attached below, we can logically deduce the following domain:
Domain = [1, ∞] or {x|x ≥ 1}.
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![if a(x) = 3x+1 and b(x) = [tex]square root of x-4[/tex], what is the domain of (boa)(x)](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/gGe6IRGOQUF4aKHR4HvpxeklJAqlYD78.png)
Kate asked her friend what her favorite class at school is  how could she changed her questioning so that she can collect statistical data
Answers
Answer:
If Kate is trying to ask multiple people, Making a bar graph would be smart in order to know how much people liked what.
Step-by-step explanation:
Kate could ask all of the sixth grade students what their favorite class is.
What is a Statistical Data?Statistical data is defined as the data which are collected and interpreted in statistics.
These data are the information about something.
Given that,
Kate asked her friend what her favorite class at school is.
In order for her to collect statistical data, there must be more data related to the same question.
Then she can interpret the data with a conclusion.
So, she has to ask more people the same question that she asked with her friend.
So she could ask all of the sixth grade students what their favorite class is.
Hence the question can be changed as Kate could ask all of the sixth grade students what their favorite class is.
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Given the two similar triangles above, what is the measure of side DF?
Answers
Answer: 2
Steps: You can find the sides using the proportional way. As in the question it is already said the triangles are similar so they have one value that can be added/subtracted/divided/multipled in order to find either of a length. The bigger triangle, if you divide each side by 4, the answer comes.
16/4 = 4 or AB/4 = DE
12/4 = 3 or CB/4= EF
8/4 = 2 or AC/4= DF
So 2 is the length of side DF.
Answer:
The correct answer would be 2
Step-by-step explanation:
You first want to find your Scale factor which would be 12/3 (simplifyed: 4/1). Then you would want to find the side that corresponds with x, which would be 8 and put in fraction form with x at the bottom. Next you want to cross mutiply the two fraction ( 4/1 and 8/X ) to get the equation 4x=8. Then you divide both sides by 4 to get your answer: 2.
particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
Answers
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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