Answer:
56.52 cm
Step-by-step explanation:
Since the circular base has radius of 9 cm. Therefore the base’s circumference is:
[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.
Input r = 9 in:
[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]
Since π is given to be 3.14:
[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]
Therefore, the base’s circumference is 56.52 cm
Answer:
Circumference of base is 56.52 cmStep-by-step explanation:
In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .
We know that :
[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .
[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]
[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]
[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]
Therefore , circumference of base of a table lamp having radius 9 cm is 56.52 cm .#Keep LearningDonal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?
Answer:
1/32 lb per slice
Step-by-step explanation:
We want the pounds per slice, or lb/slice.
We have 0.25 lbs and 8 slices, so: (0.25 lb/8 slices)
(0.25 lb/8 slices) = (1/8)(0.25)
(1/8)(0.25)(4/4) = 1/32 lb per slice
Check:
(8 slices)*(1/32 lb/slice) = 8/32 lb
8/32 = 1/4 lb total YES
Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?
well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]
Answer:
yes
Step-by-step explanation:
Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
1. The mode is the number you see
1. most
2. least
3. first
4. don't see
Mode is the number that is shown the most.
Answer: 1. Most
Find the square. Then simplify your answer.
Answer:
4a²-8a+4
Step-by-step explanation:
[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]
[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]
[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]
what is the volume of this?
Answer:
c
Step-by-step explanation:
Help if you understand thanks sm
Answer:
Represents decay ( because .72 < 1 )
The amount decreases 72% each 'x' time period
Step-by-step explanation:
Please help me and tysm!
Answer:
200
Step-by-step explanation:
156.7
since the number before the hundred is more than 4
it becomes 200
What is the measure of the missing angle?
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2
-
(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?
(b) What is the mean of the sampling distribution of the sample mean?
(c) What is the standard deviation of the sampling distribution of the sample mean?
The shape is not normal since the sample size (6) is less than 30.
The mean and standard deviation of the sample distribution is 39, and 0.82 repectively
What is a normal distribution?The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.
Given that
n = 6, mean = 39 and standard deviation o = 2.
Hence:
The shape is not normal since the sample size (6) is less than 30.
The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82
Find out more on normal distribution at: https://brainly.com/question/4079902
Write the standard equation for the circle center (6, 7), r = 9.
Answer:
[tex](x-6)^{2} +(y-7)^{2} =81[/tex]
Step-by-step explanation:
The general equation for a circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius
Plug in the (6,7) for the center and 9 for r
A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result
Answer:
39600
Step-by-step explanation
for the amount of minutes we'll multiply 11*60
11*60=660
for the amount of seconds we'll multiply the amount of minutes by 60 so
660*60=39600
Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15
Answer: C
Step-by-step explanation:
This is a Pythagorean triple.
is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0
Answer:
yes, we can write zero in the form of p/q.
[example] that is 0/3, 0/5...
Pls help and explain it
Answer:
→ Compare the 2 grade A's
School B's is higher
→ Compare the 2 grade B's
School B's is higher
→ Now formulate a brief response
School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades
Pls someone do this its on test
Answer:
they get a 7/24th piece of cake.
Step-by-step explanation:
if we divide 3 1/2 by 12 we get 7/24
we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.
Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
I need this answered
Hey ! Buddy
Question : -Find the value of x .
Given : -Angle 1 = x°Angle 2 = 43°Angle 3 = 36°To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .
So Our Solution Starts From Here :As we know that sum of all the three interior angles of triangle is equal to 180° . So ,
[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]
Now , substituting values of Angle 1 , 2 and 3 :
[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]
Now , adding 43 and 36 in right hand side :
[tex] \longmapsto \: x° + 79° = 180° [/tex]
Now , transposing 79° to right hand side :
[tex] \longmapsto \: x° = 180° - 79° [/tex]
Now , subtracting 79° from 180° :
[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]
Therefore , value of angle x is 101°.#[tex] \sf{Keep \: Learning}[/tex]What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60
Answer: About 5.59
Step-by-step explanation:
The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.
Here is what it looks like.
[Step 1]
Find the average.
[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]
[Step 2]
Find the absolute value of each data from the mean.
|52 - 56.14| = 4.14
|65 - 56.14| = 8.86
|63 - 56.14| = 6.86
|48 - 56.14| = 8.14
|52 - 56.14| = 4.14
|53 - 56.14| = 3.14
|60 - 56.14| = 3.86
[Step 3]
Find the average of these values.
[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]
Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP
Answer:
4 years
Step-by-step explanation:
basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)
help please i been stuck on this question for the last hour im on the verge of tears
Answer:
1/2
Step-by-step explanation:
It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!
Answer: the answer is 1 over 2 as a fraction
Step-by-step explanation:
Help someone out pls!
Answer: the answer is D
Step-by-step explanation:V = pi (d/2)^2 * h
V = pi (d^2 / 4) * h
h = 4V / ( pi * d^2) (meters)
7. Which expressions represent the total area of the
large rectangle? Select all that apply.
A. 6(m+n
B. 6n + m
С. 6n + 6т
D. Omn
E. (n + m)6
Answer:
D.
Step-by-step explanation:
Not for sure sorry but i think its D or A so so sorry
h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for . Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Answer:
the answer is 725.71
Step-by-step explanation:
A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?
A. reflection
B. rotation
C. dilation
D. translation
Answer:
C. dialtion
Step-by-step explanation:
A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.
A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.
A rotation would simply rotate/turn the shape. The dimensions would not be changed.
A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.
Therefore, we can conclude that option C makes the most sense.
hope this helps!
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answer: B
Step-by-step explanation:
Thelma and louise drove 341 miles and used 15.5 gallons of gas how many miles did their car get per gallon of gas
Answer:
22 MPG
Step-by-step explanation:
The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is 22miles per gallon.
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
The pair of algebraic expressions which are like terms is; 20x and 0.8x.
What are like terms?Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.
check all options:
20x, 0.8x
same variable and exponent
17, 3x
Not same variable
14x, 14x²
Same variable, not same exponent
0.5x, 0.5y
Not same variable
On this note, it follows that the terms 20x and 0.8x are like terms.
Read more on like terms;
https://brainly.com/question/480769
A small bus has seats for 16 passengers. Which equation can be used to find the number of passenger seats, n, in b small
buses?
A
n = 16-b
B
b = 16n
C
b = 16+n
D
n = 16b
Answer:
D, n=16b
Step-by-step explanation:
There are 16 busses, each of which can hold 16 seats. There are n of those busses.
Therefore, 16*n = the total number of seats on the busses altogether.
if the simple interest on $800 for 3 years is $60, what is the rate of interest per annum
Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.