Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
[tex]C=2\pi r[/tex]
It can be written as
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because d=2r][/tex]
On dividing both sides by d, we get
[tex]\dfrac{C}{d}=\pi [/tex]
Therefore, the correct option is (F).
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find.
Answer:
a = 26
a ~ 21.8
Read explanation
Step-by-step explanation:
There are two possibilities;
[tex]a^{2}+c^{2}=b^{2}[/tex]
Or
[tex]b^{2}+c^{2}=a^{2}[/tex]
This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.
1. [tex]a^{2}+c^{2}=b^{2}[/tex]
Substitute in the given values;
[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]
[tex]a^{2}+100=576[/tex]
[tex]a^{2}=476[/tex]
a=[tex]\sqrt{476}[/tex]
a~21.8
2.[tex]b^{2}+c^{2}=a^{2}[/tex]
Substitute in the given values;
[tex](24)^{2}+(10)^{2}=a^{2}[/tex]
[tex]576+100=a^{2}[/tex]
[tex]676=a^{2}[/tex]
[tex]26=a[/tex]
I WILL GIVE BRAIN LIST
Stephanie is giving a presentation to a new client. It took her 1713
minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?
A
34
minute
B
1 minute
C
113
minutes
D
112
minutes
Answer:
131.7 min so c
Step-by-step explanation:
Answer:
The answer that I got is not listed in the options but the closest to that is C) 113 mins
Step-by-step explanation:
btw I got 131.7
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answer:
16 17
Step-by-step explanation:
Write three equivalent ratios for 8 triangles to 12 circles
Answer:
Step-by-step explanation:
8 triangles : 12 circles
4 triangles : 6 circles
2 triangles : 3 circles
16 triangles : 24 circles
Edals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?
Given:
Fixed cost = $100,000
Additional cost = $100 on each bike
Selling price = $300 each bike
To find:
The number of bikes that must be sold in order for the company to break even.
Solution:
Let x be the number of bikes.
Additional cost of 1 bike = $100
Additional cost of x bikes = $100x
So, the cost function is
Total cost = Fixed cost + Additional cost
[tex]C(x)=100000+100x[/tex]
Selling price of 1 bike = $300
Selling price of x bikes = $300x
So, the revenue function is
[tex]R(x)=300x[/tex]
At break even, the profit is zero. It other words, cost and revenue are equal.
[tex]C(x)=R(x)[/tex]
[tex]100000+100x=300x[/tex]
[tex]100000=300x-100x[/tex]
[tex]100000=200x[/tex]
[tex]\dfrac{100000}{200}=x[/tex]
[tex]500=x[/tex]
Therefore, 500 bikes must be sold in order for the company to break even.
Solve for x
Y= x-v/b
Answer:
x=y+v/b
Step-by-step explanation:
So first you have y=x-v/b. You want to isolate x, so subtract x from both sides. You'll get -x+y=-v/b. Next, you're going to want to subtract y to further isolate x now that it's on the left side. Now you'll have -x=-y-v/b. But you don't want x to be negative, so you can divide both sides by -1 to make x positive. Now you'll have x=y+v/b.
1. Marcus needs to bike at least 80 miles this
week for his training. If he has already biked 25
miles this week, then how many miles should he
bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:
Please help fast I will give brainliest! :)
He should ride 11 miles on each of the other 5 days. 11 times 5 equals 55 + 25 = 80.
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
Which angle is coterminal with a 635° angle?
A. An angle measuring 85°
B. An angle measuring 275°
C. An angle measuring 255°
D. An angle measuring 335°
Answer:
B.
Step-by-step explanation:
the answer is B bevause you subtract 635 and 360, and then you get 275.
An angle measuring 275° is coterminal with a 635° angle.
What is Coterminal angles?This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
here, we have,
we know that,
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=635°
β = 635° ± 360 * 1
β = 635° ± 360
Then, β can be 635°+360=995° or 635°-360= 275°
For w=2 and α=635°°
β = 635° ± 360 * 2
β = 635° ± 720
Then, β can be 635°+720=1355° or 635°-720= -85°
Therefore, the answer to this question is option B.
Read more about the coterminal angles here:
brainly.com/question/19573972
#SPJ7
3.6 - 2 - 3 = 4x - 8
please helppp
Answer:
x=1.65
Step-by-step explanation:
First switch sides
4x-8=3.6-2-3
Then subtract 3.6 - 2 - 3
4x-8=-1.4
Add 8 to both sides
4x-8+8=-1.4+8
simplify
4x=6.6
Divide both sides by 4
4x/4 - 6.6/4
The simplify again
x=1.65
Pls help it’s due today. I’ll give BRAINLIEST
Answer:
You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units
Step-by-step explanation:
The equation
24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
Answer:
Either A or C I think, Good luck!!!
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
24x2+25x−47=(−8x−3)(ax−2)−53
then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The final answer is B.
What is the slope of a like perpendicular to a line with a slope of 0
Answer:
0
Step-by-step explanation:
Dont take my word for it but I think it should be 0
There are 800 students in a school and 45% of
the students are male. If 30% of the male students
and 25% of the female students play varsity sports,
how many students play varsity sports?
Answer:
218
Step-by-step explanation:
No. of male students = [tex]\frac{45}{100}[/tex] × 800
= 360
No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360
= 108
------------------------------------------------------------------------------------------------------------
No. of female students = 800 - 360
= 440
No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440
= 110
Total no. of students who play varsity sports = 108 + 110
= 218
Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5
Answer:
1. 8,5a + 38
2. 5,5+b
Step-by-step explanation:
1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38
2. 8+b-2,5= 5,5+b
the sum of two numbers is 41. the smaller number is 19 less than the larger number. what are the numbers?
Answer:
30, 11
Step-by-step explanation:
x+x-19=41
2x=41+19=60
x=60/2=30
x-19=11
7 + 2 (a -3) = -9
What is the answer do this?
Answer:
7+2(a-3)=-9
a= -5
Step-by-step explanation:
7+2(a-3)=-9
Distribute 2 through the parentheses
Example: 7+2a-6=-9
Next: 7+2a-6=-9
Subtract the numbers
1+2a=-9
Move constant to the right hand side and change its sighn 2a=-9-1
2a=-9-1
Calculate the difference
2a=-10
Divide both sides of the equation by 2
Answer: a=- -5
Answer this please and I would like for you to explain I’ll be giving out ^brainliest^
Answer:btb
Step-by-step explanation:
A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection maintain the same ratio of 100:80. If she sells 30 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Answer: 24 band posters should be sold
Step-by-step explanation:
First take the expression down to its simplest form;
= 5:4
Assume she sells 30 movie posters, her movies posters drop to;
= 100 - 30
= 70 movie posters
We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.
In fraction form, the number of movie posters is;
= 5/9 because 9 would be the total number of both movie posters and band posters.
Create an expression to find the total number of posters if 70 are movie posters;
5/9x = 70
x = 70 ÷ 5/9
x = 126 posters
Number of band posters that should be left are;
= 126 - 70
= 56
Number of band posters that should be sold;
= 80 - 56
= 24 posters
The new ratio would be 70:56.
Please give the correct value of c.
Answer:
Step-by-step explanation:
C equals x^2 plus 8x
1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00
What is the y intercept for -28 and 50
Answer:
The y intercept is the b in y = mx + b
Step-by-step explanation:
what is the slope that passed through the points (-3, -9) and (22, -4)? Write your answer in a simplest form
Answer:
साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी
Step-by-step explanation:
I hope you understand
Write an inequality that represents the graph.
Answer:
[tex]y - 2x - 1 = 0[/tex]
Step-by-step explanation:
the slope is :
[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]
at a pt on graph , when
[tex]x = 1 \\ y = 3 \\ [/tex]
therefore, coordinates are (1,3)
The equation is :
[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]
Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?
Answer:
Tyrese will receive $39.81 in return.
Step-by-step explanation:
First, you have to multiply the 15 packs for the cost per pack:
15*$5=$75
As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:
$75*25%=$18.75
$75-$18.75=$56.25
Then, you have to calculate 7% of the amount with the discount and add that to the cost:
$56.25*7%=$3.93
$56.25+$3.94=$60.19
Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:
$100-$60.19= $39.81
According to this, the answer is that Tyrese will receive $39.81 in return.
Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
whats the mean of the following numbers : 74, 75, 80, 76, 75, 81, 78
Answer:
The mean is 77.
Answer:
The mean of this equation is 77
Step-by-step explanation:
74+75+80+76+75+81+78-539
Number of terms=7
539/7=77
pls help how to slove this
Answer:
a° = 124°
Step-by-step explanation:
Angle E + 250° = 360 because they make a full angle
a° + 126° + E = 360°
a° = 360 - 126 - 110
a° = 124°
Answer:
a=125°
Step-by-step explanation:
The angle at E=360-250=110°
Draw a horizontal through E, parallel to AB and CD such that it divides angle E into two angles of 55° each. Produce line AB to M such that the 55° at E is alternate with it.
A and 55° are now supplementary angles therefore
a+55°=180°
a=180-55=125°