Answers
Answer:
Step-by-step explanation:
For part a :
The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :
C = 2×π×r = 2×π×8 = 16π
For part b :
The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :
A = π×r² = π×8² = 64π
For part c :
The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so
D = 2r = 2×8 = 16
So the area of the square will equal :
A = 16² = 256
Hope this helped and brainliest and hearts please.
I'm on my road to genius rank
Related Questions
1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
Answers
The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
How can these combination problems be solved?Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
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Tyshawn went shopping for a new pair of pants. Sales tax where he lives is 6%. The price of the pair of pants is $49. Find the total price including tax. Round to the nearest cent.
Answers
The total price of new pair of pants including tax will be $ 51.94.
What is the percentage?Everything is stated as if it was a fraction of a hundred in quantity.
Tyshawn went shopping for a new pair of pants.
Sales tax where he lives is 6%.
The price of the pair of pants is $49.
Then the total price of new pair of pants including tax will be
Total cost = 49 x (1 + 0.06)
Total cost = 49 x 1.06
Total cost = $ 51.94
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Kofi brought 6 books and 10 pencils from a store ama brought 3 books and 20 pencils of the same kind from the store if each of them paid $ 17000.00 from the items find the cost of each pencil each book two books and 4 pencils
Answers
Answer:
Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!
system%2810b%2B6p=17000%2C3b%2B20p=17000%29
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let +a+ = the cost of 1 pencil
Let +b+ = the cost of 1 book
---------------------------
(1) +6b+%2B+10a+=+17000+
(2) +3b+%2B+22a+=+17000+
----------------------
Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6b+%2B+44a+=+34000+
(1) +-6b+-+10a+=+-17000+
-------------------------
+34a+=+17000+
+a+=+500+
and
(1) +6b+%2B+10a+=+17000+
(1) +3b+%2B+5a+=+8500+
(1) +3b+%2B+5%2A500+=+8500+
(1) +3b+=+8500+-+2500+
(1) +3b+=+6000+
(1) +b+=+2000+
------------------
Step-by-step explanation:
IT,LL
HELP
Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
Answers
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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can someone help me with this question
Answers
Answer:
Step-by-step explanation:
Proof
AB||CD Given
<1 = <2 Given
<2 = <3 Alternate interior angles of Parallel lines
<1 = <3 Substitution for <2 from Given.
AC = AB the sides opposite equal angles are equal
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answers
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answers
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
Which shows the un-simplified solution for x2 + 8x + 6 = 0?
Answers
Answer:
A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]
Step-by-step explanation:
We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.
Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.
Answer:
Choice A
Step-by-step explanation:
Let's solve to check.
Given:
x^2 + 8x + 6 = 0
Solution:
We know that,
Let us assume that Quadratic Formula = x[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]
Here, a = 1b = 8c =6So substitute them:
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]
[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]
[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]
Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.
plsssss. Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side MN. Figures are not drawn to scale.
Answers
[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]
[tex]\\ \rm\Rrightarrow MN=7.6[/tex]
Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives
Answers
The amount received by Ahmed is 168 gm.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
Here, let the amount received by Ahmed be 7x
and amount received by Babar be 3x
Total amount of sweets = 240 gm
Now, according to question,
7x + 3x = 240
10x = 240
x = 240/10
x = 24
Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.
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pls answer asap, thanks!!
Answers
Since the amount is compounded monthly, the amount would triple after 26 months
Since the money is compounded monthly, we use the compound interest formula
How to calculate compound interestThe amount obtained on compound interest is given by A = P(1 + r)ⁿ where
P = present value, r = interest rate and n = timeNow, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"
Amount compounded monthly
Since A' = P(1 + r)ⁿ where
P = initial amount = $1000, r = interest rate = 3.15 %/12 (since it is compounded monthly) = 0.002625 and n = number of monthsSo, A' = P(1 + r)ⁿ
= 1000(1 + 0.002625)ⁿ
= 1000(1.002625)ⁿ
Extra amount added monthly
Also, since $75 is added monthly, after n months, A" = 75n
Total amount after n months
So, the total amount added is A = A' + A"
= 1000(1.002625)ⁿ + 75n
Time for amount to tripleSince we require the time when the initial amount would triple, so, A = 3A'
= 3 × 1000
= 3000.
So,
A = 1000(1.002625)ⁿ + 75n
3000 = 1000(1.002625)ⁿ + 75n
3000 - 75n = 1000(1.002625)ⁿ
The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)
So, n = 25.736
≅ 26 months
So, the amount would triple after 26 months
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If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
3 and 7
B.
-3 and 7
C.
-7 and -3
D.
-7 and 3
Answers
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
Please help, sigma notations please big project 100 points
Answers
Answer:
I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )
Step-by-step explanation:
[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]
2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]
3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]
4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]
5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]
6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]
7. The answer should be: [tex]3B_{\left(i\right)}[/tex]
Hope this helps...
Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.
Answers
Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18
Answers
Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.
What is the range of a data-set?
The range of a data-set is given by the difference of the greatest value by the smallest.
In the data-set 10, 30, 15, 17, and 18, we have that:
The greatest value is 30.The smallest value is 10.Hence the range is given by:
R = 30 - 10 = 20.
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I need this answer quickly please :)
Answers
monkey B
Step-by-step explanation:
f(x) = 16x2 + 32x − 9?
Step-by-step explanation:
c beacuse if you subtract 8 by 2 you get 6 times x
5. If the longer side of the rectangle is 25.5 in., what are its width, perimeter, and area?
Answers
Step-by-step explanation:
1) The width of the rectangle is 10.2 in.
2) The perimeter of the rectangle is 71.4 in.
3) The area of the rectangle is 260.1 sq.in
2x(x-5) -x (3 + 2x) = 26
help me pls
Answers
Answer:
x = -2
Step-by-step explanation:
[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]
Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.
2x2-10x-3x-2x2=26
Eliminam opusele
reducem termenii
-13x=26
imparte ambele parti
x=-2
Step-by-step explanation:
Write an equation for the line that is parallel to the given line that passes through the given point.
y = -6x + 2; (-1,2)
Answers
Answer:
The correct answer is y = -6x - 4
Step-by-step explanation:
The given equation of the line : y = -6x + 2
Now, the general equation of the line in the slope-intercept form is given by : y = mx + c
Now, comparing the given equation with the general form, We get slope, m = -6
We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6
And it passes through the point (-1, 2)
The required equation will be :
⇒ y - 2 = -6 × (x + 1)
⇒ y - 2 = -6x - 6
⇒ y = -6x - 4
Therefore, The required equation is y = -6x -4
Hence, The correct answer is. y = -6x - 4
Brainlist?????
How can I solve this math problem.
Answers
Answer:4.6
Step-by-step explanation:
Use the pythagorean theorem, then find the square root using your calculator.
Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answers
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
Answers
Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°
4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°
Add like terms
33x + 30 = 360°
Subtract 30 from both sides
33x = 330°
x = 10
Answer:
10
Step-by-step explanation:
A quadrilateral is a four sideded figure with four angles and four vertices.we should note that the sum of angles of a quadrilateral is equal 360°
therefore,
(4x+23)+(16x+15)+(6x-5)+(7x-3)=360
30 +33x= 360
33x= 360-30
33x= 330
dividing through by 33
x= 330/33
x= 10
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answers
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
HELP I can’t figure it out
Answers
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \
\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \
[/tex]
A town on the coast is building a lighthouse that is 27 meters tall. Determine the area of the circular base of the lighthouse if the radius of the base is 35 meters. Use 22/7 for pi. WILL GIVE BRAINLIEST
A. 220 m2
B, 3,830 m2
C.103,950 m2
D.15,400 m2
Answers
Answer:
B. 3850 m²Step-by-step explanation:
Use the equation of area of circle:
A = πr²Substitute π with 22/7 and r with 35 m as per question.
Find the area:A = 35²*(22/7) = 3850 m²Correct choice is B (with slight difference)
Answer:
B. 3850 m²
Step-by-step explanation:
The area of the base of the lighthouse can be modeled as a circle.
Area of a circle
[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 35 mπ = 22/7Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]
[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]
[tex]\implies \sf A=\dfrac{26950}{7}[/tex]
[tex]\implies \sf A=3850\:\:m^2[/tex]
Therefore, the area of the circular base of the lighthouse is 3850 m²
Find the value of
x
y, and
z in the parallelogram below.
Answers
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
jeanne barrons has decided to buy a new car. it has a base price of
$21,276.00, options totaling $1,219.80 and a destination charge of $590.00.
while surfing the internet, she learned that the dealer's cost is
approximately 83% of the base price and 80% of the price of the options.
what should barrons estimate as the dealer's cost? (section 9-2) *
o a. $19,224.92
b. $17,659.09
c. $17,500.25
d. $19,430.84
Answers
Answer:
a. $19,224.92
Step-by-step explanation:
The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.
__
cost for base car = 0.83 × $21,276 = $17,659.08
cost for options = 0.80 × $1,219.80 = $975.84
cost for destination charge = $590.00
The sum of the dealer's costs is ...
$17,659.08 +975.84 +590.00 = $19,224.92
Barrons should estimate the dealer's cost to be $19,224.92.
solve. -16 < 3x + 5 < 14
Answers
Answer: -7 < x < 3
Step-by-step explanation:
-21 < 3x < 9
-7 < x < 3
a company makes these biscuits at a cost of $1.35 per packet. these biscuits are sold for $1.89 per packet. calculate the percentage profit the company makes on each packet
Answers
Answer:
They Make 50 cents profit a pack
Step-by-step explanation:
1.89-1.35