Answers
1. 4.5 cm
2. 25.13 inches
3. 78.54 cm
4. 13 cm. 6.5 +6.5
Radius is half the diameter
Step-by-step explanation:
1) Radius = Half of Diameter
[tex]r = \frac{1}{2} d \\ r = \frac{1}{2} \times 9 \\ = 4.5cm[/tex]
2) Given r = 4 in.
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: cm[/tex]
3) Given r = 5 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi {5}^{2} \\ = 25\pi {cm}^{2} [/tex]
4)Diameter = 2x Radius
[tex]d = 2r \\ = 2 \times 6.5 \\ = 13cm[/tex]
Note for questions 2 and 3 I will leave answers in terms of pi as the question did not specify to leave the answer as what. You can use your calculator to evaluate them if needed.
Related Questions
How much money would you have to invest at 9% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answers
Answer:
Im just doing this for points .,.
Step-by-step explanation:
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Answers
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.
HELP WILL GIVE BRANLIEST!
Answers
Answer:
Since it is vertical angles, 4x - 12 = 88.
Answer is 25
Step-by-step explanation:
88 + 12 = 100
100 / 4 = 25
What is the value of 6 in the number 762
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Hi,
Since the 6 is in the tenths place, it's a 60.
I hope this helps :)
Question 4
Which expression represents f-(x) if f(x) = 11 – 10x ?
Answers
Answer:
hhuhhuhhhuhh
Step-by-step explanation:
Problem of the week, provide step-by-step please!
Answers
Answer:
Step-by-step explanation:
The smallest perfect square that has three different prime numbers as factor is 900
900 = 30 * 30
Factors = 2² * 3² * 5² = 900
Solve.
b + 2/9 = 1 3/5
Answers
B=107/45
Decimal form
B=2.36
Mixed number form
B=2:17/45
graphing sucks
ugh. but anyway does anybody know how to graph using only an equation? please explain thoroughly. PLEASE SAVE MY LIFE!
Answers
- you can substitue x and y for 1, or 0 and graph each point
- use desmos and copy it
- depending on the type of equation find the x-intercept, y-intercept, vertex and then draw a line between them
Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch?
Answers
Answer:
If i could spend the perfect day I would go to the park and take a jog. I would also go to Mc donalds and get a vanilla flavored ice cream! I love the taste of vanilla, Next, i will watch my favorite movie on my phone. Then, i will go to the zoo with my friends and see my favorite animals! Lastly,i will go home and take a nap.Step-by-step explanation:
okay
Select the measures that are equal. Select all that apply.pls help me i beg you
Answers
BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
Answers
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 4w - 3.
A = lw
A = w(4w -3)
A =4w² - 3w
Hope this helped!!!
Morgan bought a sofa for $216.00. The finance charge was $25 and she paid for it over 15 months.
Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed
to calculate her approximate APR.
Round the answer to the nearest tenth.
9.4%
9.3%
1.2%
1.1%
Answers
Answer:
9.3%
Step-by-step explanation:
Took the test, so i checked the answers and the correct one was 9.3% have a beautiful day
a clothing manufacturer makes coats, shirts and slacks. The time required for The Cutting, sewing, and packaging on each item is shown in the table. How many of each should be made to use all available labor hours?
Answers
9514 1404 393
Answer:
120 coats, 200 shirts, 180 slacks
Step-by-step explanation:
If we let c, s, p represent quantities of coats, shirts, pants, respectively, then the total number of minutes required for cutting, sewing, and packaging can be expressed by ...
20c +15s +10p = 7200
60c +30s +24p = 17520
5c +12s +6p = 4080
These equations can be written in "augmented matrix" form and submitted to your friendly local matrix solver (online or on your calculator). You would ask for "reduced row-echelon form". The calculator function that accomplishes this is often called RREF. The matrix and result are ...
[tex]\left[\begin{array}{ccc|c}20&15&10&7200\\60&30&24&17520\\5&12&6&4080\end{array}\right]\rightarrow \left[\begin{array}{ccc|c}1&0&0&120\\0&1&0&200\\0&0&1&180\end{array}\right][/tex]
This means production should be of ...
120 coats, 200 shirts, 180 slacks
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Answers
Answer:
121
Step-by-step explanation:121 ! just got it right.
Answer:
D)
Step-by-step explanation:
on edge
can anyone answer these? it would be appreciated:)
Answers
Answer:
Step-by-step explanation:
_____ ÷ r × r = p
be fast :) easy point for who ever get it
Answers
Answer:
p
Step-by-step explanation:
lol question unclear
Answer:
p
Step-by-step explanation:
if you divide a number by a number and then multiply that same number by that number it is 1. so it is just __=p
Hope that helps :)
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married.
Choose the best description.
a. All U.S. adults
b. The 1,501 U.S. adults referred to in this problem
c. The 1,126 U.S. adults referred to in this problem
d. All U.S. adults who believe it is more enjoyable to be married than single
Answers
Answer:
D. all U.S adults who believe it is more enjoyable to be married than single
Step-by-step explanation:
Sana nakatulong
During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answers
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
K
Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
units
S=
Reset
Next
tum. All rights reserved.
1
Answers
Step-by-step explanation:
angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)
[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]
Arc Length s =
given r = 10 units,
[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]
Answer:
7.85 units
Hope this helped and have a good day :D
solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x
Answers
Answer:
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Answer:x=π/6,11π/6
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
The blue segment below is a radius of oo. What is the length of the diameter of the circle?
Answers
Answer:
Diameter = 25.4 unitsStep-by-step explanation:
radius = 12.7
Diameter = 2 × radius
= 2 × 12.7
= 25.4 units
Step:
Length of diameter = 2* radius = 2*12.7= 25.4
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.
Answers
Answer:
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.
This means that [tex]\sigma = 15, \mu = 590[/tex]
Find the probability of a bulb lasting for at most 605 hours.
This is the pvalue of Z when X = 605. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{605 - 590}{15}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
PLS HELPPP GEOMETRY!!!!!!
You are on a fishing boat that leaves its pier and heads east. After traveling for 24 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45°W for 13.4 miles.
a. At this time, how far are you from the boat's pier?
b. What bearing could the boat have originally taken to arrive at this spot?
Answers
Answer:
a-17.3 miles b-S57 E
Step-by-step explanation:
d^2=30^2+12^2-2(30)(12)
sin45
how do you add an equation vertically
Answers
"Vertically" probably refers to stacking the polynomials on top of each other and aligning them at equal powers of x. So kind of like what you might do when adding two numbers with more than 1 digit each.
For example, the sum 123 + 456 can be computed by adding digits in the same digits place:
… 1 2 3
+ 4 5 6
… 5 7 9
Then for this sum, you have
… - 3x ² - 6x + 8
+ 8x ² + 7x - 14
… 5x ² + x - 6
I will give BRAINLIST Solve the quadratic function by factoring.
2x^2+7x-4=0
Someone please help I will give BRAINLIST please show work I need this for my test
Answers
x-4=0
2x+1=0
X= -1/2 , 4
Help please (50 point) sorry hhh
Answers
Answer:
7.5
Step-by-step explanation:
The actual fraction is 15/2, which is equivlent to 7.5
Im pretty sure its infinite solutions
A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?
Answers
Answer:
9750
Step-by-step explanation:
profit amount = 30% of R 7500
= 30/100 *R 7500
= 2250
now
sp = R 7500 + R 2250
= R 9750
Help. I have no idea what to do
Answers
Answer: The answer is to ask your parents because something is definitely wrong with your teacher to give such a hard sun to solve like that.
Step-by-step explanation: sorry man that hard.
Please help me find the surface area!
Answers
Answer: question 9 COULD be 240 and 12. might be 2880
Step-by-step explanation:
A lab orders a number of chemicals from the same supplier every 10 days. The lead time is six days. The manager of the lab must determine how much of one of these chemicals to order. Check of stock reviewed that 9 25-milliliter (ml) jars are on hand. Daily usage of the chemical is appropriately normal with a mean of 16 ml per day and a standard deviation of 3.5 ml per day. The desired service level for this chemical is 95%. a) How many jars of the chemical should he ordered
Answers
Answer:
3 jars of the chemical should be ordered
Step-by-step explanation:
Given the data in the question;
Ol = 10 days
d = 16 ml
z = 1.65 at 95% service level
σ = 3.5 ml
Check of stock reviewed that 9 of 25-milliliter (ml) jars are on hand
so inventory in position = 9 × 25 = 225 ml
now,
since this is a fixed-order-internal system;
first we determine our Target inventory
Target inventory = 16 × ( 10 + 6) + 1.65√( 10 + 6 ) × 3.5
Target inventory = 265 + 23.1
Target inventory = 288.1
so
Amount to order = Target inventory - inventory in position
Amount to order = 288.1 - 225 = 63.1 ml
∴ number of jars to order will be;
⇒ 63.1 ml/ 25 ml = 2.5 { approximately 3 jars }
Therefore, 3 jars of the chemical should be ordered