Answers
Answer:
Area: [tex]50\pi -100[/tex]
Perimeter: 20[tex]\pi[/tex]
Step-by-step explanation:
If we take half of one of these "pedals" we can see that it is simply 1/4 of a circle with radius 5, subtracted by a triangle. Let's calculate this half-pedal.
[tex]1/4(25 \pi) - 1/2(5* 5)[/tex]
That means 4 pedals is equal to:
[tex]8(1/4(25\pi) - 1/2 (25))[/tex]
[tex]50\pi - 100[/tex]
So.. The area of the shaded region is [tex]50\pi -100[/tex]
Perimeter is even simpler. the half-pedal is just 1/4 of the circumference of the circle. The circumference is just [tex]10\pi[/tex], which means our half pedal is:
[tex]1/4(10\pi )[/tex]
Multiplying by 8, our perimeter is just 20[tex]\pi[/tex].
Area- 50-100
Related Questions
Find the distance between (4.9) and (5, 12)
Answers
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]
[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]
3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answers
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
Find out more about 'Exponents' here:
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What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural
Answers
Answer:
-7 is a Negative Number, which is also an integer.
Step-by-step explanation:
Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.
Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x
Answers
Answer:
f(x) is quadratic. g(x) and h(x) are linear.
Step-by-step explanation:
So we have the three functions:
[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]
Linear functions are polynomials in which the highest degree is 1.
Quadratic functions are polynomials in which the highest degree is 2.
And exponential functions usually have a variable in the exponent (e.g. 2^x).
For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.
For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.
Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.
the second one should be exponential
and the third should be linear
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$
Answers
Answer:
[tex]$\[x^2 + 22x + 121\]$[/tex]
Step-by-step explanation:
Given
[tex]$\[x^2 + 22x + \underline{~~~~}.\]$[/tex]
Required
Fill in the gap
Represent the blank with k
[tex]$\[x^2 + 22x + k\]$[/tex]
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
Divide the coefficient by 2
[tex]Result = 22/2[/tex]
[tex]Result = 11[/tex]
Take the square of this result, to give k
[tex]k= 11^2[/tex]
[tex]k= 121[/tex]
Substitute 121 for k
[tex]$\[x^2 + 22x + 121\]$[/tex]
The expression can be factorized as follows;
[tex]x^2 + 11x + 11x + 121[/tex]
[tex]x(x + 11)+11(x+11)[/tex]
[tex](x+11)(x+11)[/tex]
[tex](x+11)^2[/tex]
Hence, the quadratic expression is [tex]$\[x^2 + 22x + 121\]$[/tex]
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answers
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?
Answers
Answer:
20%
Step-by-step explanation:
8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he
subtracted 20 from this product. Next, he took three-fourths of this difference and got y.
Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.
What was his final answer?
A. -56
B. -51
C. 16
D. 21
E. Not enough information
Answers
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
Answer:
The answer is -51
Step-by-step explanation:
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answers
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
What's the recursive formula of the geometric sequence below?
2, 6, 18, 54, 162, 486,...
O ay = 3; an = an-1 · (2)n-1 for n 2 2
a1 = 2; an = an-1 . (3) for n 2 2
O a1 = 2; an = an-1 • (3)n-1 for n 2 1
ay = 2; an = an-1. (2) for n 2 1
Answers
Answer:
Hey there!
We have an=a1(r^n-1), which is the formula for a geometric sequence.
The common ratio is 3, and 2 is the 1st term.
Thus, we have a1=2(3)^(n-1)
Hope this helps :)
Answer:
Hey there!
We have an=a1(r^n-1), which is the formula
for a geometric sequence.
The common ratio is 3, and 2 is the 1st
term.
Thus, we have a1=2(3)^(n-1)
What is the y-intercept of the function f(x) = -2/9x+1/3
Answers
Answer:
The y-intercept is 1/3.
Step-by-step explanation:
The equation given is in slope-intercept form. Recall that in slope-intercept form:
[tex]f(x)=mx+b[/tex]
m is the slope while b is the y-intercept.
Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.
A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360
Answers
Answer:
B
Step-by-step explanation:
complete the table of values for y=-x^2+2x+1
Answers
Answer:
-1=-2
4=-7
Step-by-step explanation:
for x=-1
y=(-1^2)+(2*-1)+1
y=-1-2+1
y=-2
for x=1
y= (-1^2)+(2*1)+1
y= -1+2+1
y=2
for x=4
y=(-4^2)+(2*4)+1
y=-16+8+1
y=-7
A lab technician is dividing a cell that has a diameter of 4.32×10−4 4 . 32 × 10 - 4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cel
Answers
Answer:
Bottom right option
Step-by-step explanation:
To find this, we can calculate:
1/2 * 4.32 * 10⁻⁴
= (1/2 * 4.32) * 10⁻⁴
= 2.16 * 10⁻⁴
The diameter of a new cell is 2.16×10−⁴millimeters
First step is to calculate 4.32×10−⁴ to the original numbers
4.32×10−⁴ =0.000432
Second step is to determine the diameter of a new cell
New cell diameter=0.000432×1/2
New cell diameter=0.000216
New cell diameter=2.16×10−⁴millimeters
Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters
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Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73
Answers
Answer:C
Step-by-step explanation:
%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
Answers
Answer:
1.4a > 5+a
Step-by-step explanation:
If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.
On the right side of the equation, if the number is increased by 5, then the equation is a + 5.
Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a
PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!
Answers
Answer:
hope this is ok...
1. a) f(h) = -4
b) f(h) = 4
c) f(h) = -6
d) f(h) = -8
2. a) f(h) = 5
b) f(h) = 11
c) f(h) = 3
d) f(h) = -1
3. a) f(x) = 11
b) f(x) = -5
c) f(x) = -245
d) f(x) = -89
4. f(56) = -29.35 or -29.346046
5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)
Step-by-step explanation:
1. f(h) = | h - 10 |
a) f(h) = | 6 - 10 | = -4
b) f(h) = | 14 - 10 | = 4
c) f(h) = | 4 - 10 | = -6
d) f(h) = | 2 - 10 | = -8
2. f(h) = | h - 2 |
a) f(h) = | 7 - 2 | = 5
b) f(h) = | 13 - 2 | = 11
c) f(h) = | 5 - 2 | = 3
d) f(h) = | 1 - 2 | = -1
3. f(x) = x² + 11
a) f(x) = -0² + 11 = 11
b) f(x) = -4² + 11 = -5
c) f(x) = -16² + 11 = -245
d) f(x) = -10² + 11 = -89
4. f(x) = 8√x - 31
a) f(56) = 8√56 - 31 = -29.35
5. f(x) = 2√x - 56
a) f(200) = 2√200 -56 = -41.86
Please mark Brainliest....
Answer:
The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____
Answers
Answer:
The correct answer is;
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
Step-by-step explanation:
The given information are;
Segment TN is congruent ts segment EL
Segment TA is congruent ts segment EF
Segment AN is congruent ts segment FL
Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency
One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.
Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency
Answer: cannot be determined
Step-by-step explanation:
there isnt a rule SSS
Which of the following are exterior angles? Check all that apply.
6
52
3
O A. 21
O B. 25
O c. 24
O D. 23
E. 22
O F. 26
Answers
Using it's concept, it is found that the exterior angles of the triangle are given as follows:
B. <5
C. <4
What are the exterior angles of a triangle?The exterior angles of a triangle are the angles that are outside the triangle.
In this problem, the angles are 4 and 5, which means that options B and C are correct.
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a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answers
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
The car worth started at $2,500
Four years would be $325 • 4
It’ll give you the answer of $1,300
You now need to subtract the $1,300 from the $2,500 and you’ll be left with $1,200
Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset
Answers
Answer:
the answer is d
Step-by-step explanation:
cause its d
Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.
Answers
Answer:
-2+12=10
-10+20=10
1+9=10
9+1=10
8-(-2)=10
2-(-8)=10
-30+40=10
Step-by-step explanation:
3+7=10
6+4=10
5+5=10
1+9=10
10+0=10
(-8)-2=10
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answers
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph
Answers
Negative Correlation - These variables point towards the left making them negative.
Positive Correlation - These variables point towards the right making them positive.
No Correlation - These variables have the same x coordinates or same y coordinates.
Hope that helped!!! k
in the figure above, pqrs is a parallelogram. What is the value of x?
Answers
Answer:
x = 162 degrees.
Step-by-step explanation:
m < RSP = 180 - 72
= 106 degrees (adjacent angles)
m < Q = m < RSP ( Opposite angles in a parallelogram are equal).
So m < Q = 180 degrees.
m < x = 360 - 90 - 108
= 360 - 198
= 162 degrees.
Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°
At angle S :
S + 72 = 180 (sum of straight line angles)
S = 180° - 72°
S = 108°
S = Q (opposite angles of a parallelogram)
Q = 108°
Hence,
Q + x + right angle = 360° (sum of angles at a point)108° + x + 90 = 360
x = 360 - (108 + 90)
x = 162°
Hence, the value of x is 162°
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Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321
Answers
Answer:
The probability that a 57-year-old was involved in an accident is 0.0656.
Step-by-step explanation:
We are given the data for the drivers involved in an accident of different age groups.
And we have to find the probability that a 57-year-old was involved in an accident.
From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.
Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).
The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.
So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).
The probability that a 57-year-old was involved in an accident is given by;
= [tex]\frac{1990}{30,355}[/tex]
= [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%
Sorry if I’m wrong I tried my best. God bless u
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answers
Answer:
errror
Step-by-step explanation:
Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?
Answers
The decimal 0.1894528 is not a repeating decimal.
What is the decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.
The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.
Therefore, the decimal 0.1894528 is not a repeating decimal.
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Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200
Answers
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b
Answers
Answer: A, B and, C are incorrect, what is D?
Step-by-step explanation:
