Answer:
Dilate circle A by a scale factor of 4. (c)
Step-by-step explanation:
HOPE THIS HELPS!!!
The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.
The correct option is (C).
What is Dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Circle A has center of (0, 4) and a radius of 6
circle B has a center of (−3, 5) and a radius of 24.
The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.
We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
This transformation produces an image that is the same as the original shape.
Thus, Dilate circle A by a scale factor of 4.
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Please help very urgent!!
Answer:
4300 [tex]\frac{67}{1000}[/tex]
Step-by-step explanation:
evaluate each part
4 × 1000 = 4000
3 × 100 = 300
6 ×[tex]\frac{1}{100}[/tex] = [tex]\frac{6}{100}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{60}{1000}[/tex]
7 × [tex]\frac{1}{1000}[/tex] = [tex]\frac{7}{1000}[/tex]
Thus
4000 + 300 + [tex]\frac{60}{1000}[/tex] + [tex]\frac{7}{1000}[/tex]
= 4300 [tex]\frac{67}{1000}[/tex]
A rectangular carpet has a perimeter of 16m and area 15 m^2. Find the lengths of the carpets sides
While guessing and checking is one way to do this problem, I will show you how to do it algebraically.
Let one side be A
Let the other side be B
2(A+B)=16
A*B=15
First equation because the perimeter is 16 and the second because the area is 15. Now solve the system of equations
A+B=8
A=8-B
Substitute into equation two
B(8-B)=15
-B^2+8b-15=0
B^2-8b+15=0
(B+3)(B+5)=0
B=3,5
A=5,3 respectively
From this we can see that one side is 5 meters long while the other side is three meters long.
Step-by-step explanation
Since we're looking at a rectangle, let's consider its perimeter and area formulas.
Perimeter: 2x + 2y (A rectangle has four sides, with two equal sides, so this is x + x + y + y simplified)
Area: (x)(y) (length x breadth so, x times y)
So we have two equations: 2x + 2y = 16 and x*y = 15. Solve simultaneously. Refer to the attached image.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance. his card has an apr of 11.45%, compounded monthly. at the beginning of may, greg had a balance of $318.97 on his credit card. the following table shows his credit card purchases over the next few months. month cost ($) may 46.96 may 33.51 may 26.99 june 97.24 june 112.57 july 72.45 july 41.14 july 101.84 if greg makes only the minimum monthly payment in may, june, and july, what will his total balance be after he makes the monthly payment for july? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $812.86 b. $830.31 c. $864.99 d. $1,039.72
The total balance of Greg account after he makes the monthly payment for July is $864.99.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.
His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.
In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,
[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]
The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.
The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.
The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.
The total balance of Greg account after he makes the monthly payment for July is $864.99.
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Answer:
b
Step-by-step explanation:
Identify this sequence: 12,19,26,33,40,47. The next term is___??
Answer:
54
Step-by-step explanation:
Complete the two-column proof using the figure below.
Given:∠1 ≅ ∠2, l ⊥ n
Prove:l ⊥ p
*IGNORE THE BLANKS FILLED IN I NEED THE ANSWER FOR THOSE OR FOR SOMEONE TO TELL ME IM RIGHT*
Answer:
Step-by-step explanation:
Converse of alternate interior angles theorem:
This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.
Therefore, p║n.
Perpendicular transversal theorem:
By this theorem,
In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.
Therefore, l ⊥ p.
Options selected in the blank spaces are correct.
What is the positive solution to the equation 0 = –x2 2x 1? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction –2 startroot 2 endroot 2 – startroot 2 endroot 1 startroot 2 endroot –1 startroot 2 endroot
The positive solution of the quadratic equation [tex]\rm 0=-x^2+2x+1[/tex] is x=2.41
It is given that the quadratic equation:
[tex]\rm 0=-x^2+2x+1[/tex]
It is required to find the solution to the above quadratic equation.
What is a quadratic equation?A quadratic equation is a second-degree algebraic equation represented by the:
[tex]\rm ax^2+bx+c=0[/tex]........(1)
Where a, b, and c are the constants and [tex]\rm a\neq 0[/tex]
We know that:
[tex]\rm x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have:
[tex]\rm 0=-x^2+2x+1\\\rm or \\\rm -x^2+2x+1=0[/tex] ..........(2)
After comparing (1) and (2) we get:
[tex]\rm a=-1, b=2, and \ c=1[/tex]
Put these values in the above formula we get:
[tex]\rm x=\frac{-2\pm \sqrt{2^2-(4)(-1)(1)}}{(2)(-1)}\\\rm x=\frac{-2\pm \sqrt{8}}{-2}\\\rm x=\frac{-2\pm 2\sqrt{2 }}{-2}\\\rm x={1\pm \sqrt{2}}[/tex]
[tex]\rm x=1+\sqrt{2} \ or \ x=1-\sqrt{2} \\\\\sqrt{2} = 1.41\\\rm so \ x= 1+1.41 \ or \ x= 1-1.41\\\rm x=2.41 or \ x=-0.41[/tex]
Thus, the positive solution of the quadratic equation is x=2.41
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Answer:
x= 2.41
Step-by-step explanation:
What is the volume of the prism?
in.3.
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
..
The table shows the height y (in thousands of feet) of an unmanned aerial vehicle (UAV) x minutes after it begins its descent from cruising altitude.
Write a linear function that relates y to x . Interpret the slope and y-intercept. y = ___
The slope indicates that the height ___ feet per minute. The y-intercept indicates that the descent ____ at a cruising altitude of ___ feet.
1)
[tex]m = \frac{y - y}{x - x} = \frac{55 - 59}{10 - 0} = \frac{ - 4}{10} = - \frac{2}{5} [/tex]
[tex]y = - \frac{2}{5} x + b[/tex]
Since the line passes through the point (0,59), the coordinates of this point satisfies the equation of y;
[tex]59 = - \frac{2}{5} (0) + b[/tex]
[tex]b = 59[/tex]
Final answer:
[tex]y = - \frac{2}{5} x + 59[/tex]
Find the values of the missing arc
Show step by step !
Answer:
arc QS = 95°
Step-by-step explanation:
the inscribed angle QSR is half the measure of its intercepted arc RQ , then
arc RQ = 2 × 95° = 190°
the sum of the arcs in a circle = 360° , then
arc QS = 360° - arc SR - arc RQ = 360° - 75° - 190° = 95°
Simplify by comibining like terms for x + 10y - 4y + 4x
Answer:
5x + 6y
Hope it helps!
#1 -8=3y-2
#2 5(x+3) = 25
Answer:
-2
Step-by-step explanation:
-8 + 2 = -6; -6=3y; then -6 divided by 3 = -2
Can someone also help me simplify 5(–2xy)
Answer:
-10xy
Step-by-step explanation:
Answer:
-10xy
Step-by-step explanation:
distributive property
5*-2=-10
-10xy
what's the answer to: |x+6|+10=13
x=_ or x=_
Answer:
X= -3 or X=-9
Step-by-step explanation:
Answer: x = -3, x = -9
Step-by-step explanation: |x + 6| + 10 = 13
Firstly, subtract 10 from both sides:
|x + 6| = 3
Since it is an absolute value, separate it into two equations with either outcome:
x + 6 = 3
x + 6 = -3
Solve for x now.
x + 6 = 3
Subtract 6 from both sides:
x = -3
x + 6 = -3
Subtract 6 from both sides:
x = -9
Voila! Hope this helps.
1/5 plus 3/10 in the most simple form
Hey there!
1/5 + 3/10
= 2/10 + 3/10
= 2 + 3/10 - 0
= 5/10
= 5 ÷ 5 / 10 ÷ 5
= 1 / 2
Therefore, your answer is: 1/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Based on the y-values in the table, the exponential function appears to grow
then linear function.
Answer:
what is the question exactly
Step-by-step explanation:
Answer:
(Its so important to show pictures where pictures when they are needed lol)
Based on the y-values in the table, the exponential function appears to grow FASTER THAN then linear function.
Step-by-step explanation:
Picture below
Jenny had $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny's total allowance?
Answer:
-$7.20
Step-by-step explanation:
-$2.40 x 3 = -$7.20
Express 52 as the product of prime factors in ascending order
Answer:
2×2×13 = 52
or 2² × 13 = 52
it depends on how you want to present your answer
a group of students there any Circle to play a game the circle has a diameter of 22. which measurement is close to the circumference of the circle in meters?.
Hello! The answer is 69.11
Step-by-step explanation:
This is the formula you use: Circumference = 2 * π * r
r = Radius, the radius is just half of the (22) diameter, so half of 22 is 11.
2 * π * 11 = 69.11
A costume closet contains 8 dresses, 3 shirts, 5 pairs of pants, and 4 hats. What is the probability of randomly selecting a hat from the costume closet?
A.3/20
B.1/5
C.1/4
D.2/5
The probability of randomly selecting a hat from a costume closet of 8 dresses, 3 shirt , 5 pairs of pant and 4 hats is 1 / 5
What is probability?probability = number of favourable outcomes / total number of the possible outcome
Therefore,
probability of randomly selecting a hat = number of hat / total number of possible outcome
Therefore,
number of hat = 4
total number of possible outcome = 8 + 3 + 5 + 4 = 20
Therefore,
probability of randomly selecting a hat = 4 / 20
probability of randomly selecting a hat = 1 / 5
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PLEASE YALL I NEED TO GET THIS DONE TN
Ricky is playing a game using 5 cards and a spinner. The cards are numbered 1,2,3,4, and
5 and the spinner is divided into three equal parts. If Ricky picks a card and spins the
spinner, what number would represent the sample size?
options
15
8
3
5
Answer:
15
Step-by-step explanation:
The cards have 5 possible outcomes and the spinner has 3 possible outcomes. To find the sample size, you need to calculate the number of possibilities when drawing 1 card and landing on 1 side of the spinner. You can do this by multiplying the possible outcomes together.
5×3 = 15
Therefore, the sample size is 15.
Answer:
Option 1: 15
Step-by-step explanation:
Ricky is playing a game using 5 cards and a spinner
Card 1 , Card 2 , Card 3 , Card 4 , Card 5
and
㉦ Green, Red, Blue
Ricky picks a card and spins the spinner
The sample size outcome is:
{(1, G) (1, R) (1, B) (2, G) (2, R) (2, B) (3, G) (3, R) (3, B) (4, G) (4, R) (4, B) (5, G) (5, R) (5, B)}
Sample size is 15
does anybody know how
Answer:
30
Step-by-step explanation:
5z + 20 + 10 - 5z
= 5z - 5z+ 20 + 10
= 30
And orange contains 100 mg of vitamin C. It is recommended for a person to eat up to 2000 mg of vitamin C in a day. If you eat seven or just throughout the day what percent of your daily intake of vitamin C did you eat. Round to the nearest whole percent
A. 17%
B.35%
C.49%
D.5%
Answer:
[tex]\sf 35 \%[/tex]
explanation:
[tex]\hookrightarrow \sf \dfrac{orange \ juice \ intake}{recommended \ mg} * 100[/tex]
[tex]\hookrightarrow \sf \dfrac{7*100}{2000} *100[/tex]
[tex]\hookrightarrow \sf 35 \%[/tex]
Answer:
B.35%Step-by-step explanation:
100x7=700
So you ate 700mg of Vitamin C by eating oranges 7 times in that day.
Now, lets figure out the percent part
700 n/100x2000
=35%
We didn't even have to round.
So hence, your answer is B.35%
Thanks!
Mark me brainliest!
Is (5+4x^0)2x a monomial? What about (5+4x²)2x? Please explain why.
Answer:
Neither are monomials.
Step-by-step explanation:
Take a look at the root word of monomials.
Mono = One In both of these expressions, there is more than one term. For them to considered or classified as monomials, they have to have one terms. Therefore, neither of these are monomials but instead are trinomials which have three terms.If you were to solve this inequality,
do you need to flip the Inequality symbol?
Answer:
YES
Step-by-step explanation:
To solve this inequality, you need to multiply both sides by -5.
When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.
Answer: YES
PLEASE HELP ASAP I WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
r ≈ 12.1
Step-by-step explanation:
from the diagram the radius r of the circle is GM and GE and
GA = r - 4
using Pythagoras' identity in right triangle AGM , then
9² + (r - 4)² = r² ← expand factor on left using FOIL
81 + r² - 8r + 16 = r² ( subtract r² from both sides )
97 - 8r = 0 ( subtract 97 from both sides )
- 8r = - 97 ( divide both sides by - 8 )
r = [tex]\frac{-97}{-8}[/tex] ≈ 12.1 ( to 1 dec. place )
The hipotenuse of a right angle, isosceles triangle is 5√2 cm. Find the area of the triangle.
Answer: 12.5 square centimeters
Step-by-step explanation:
Look at the picture to answer.
Find the volume of the composite figure. Round the answer to the nearest tenth.
Volume = ____cm3
Answer:
around 433.1 cm
find the first shape's volume.
L x W x H method.
[tex]4 * 10 * 8 = 320cm[/tex]
Length is eight, height is 4, and width is 10.
Now, the 2nd shape.
The formula of finding a sphere with a radius of 3 is V = 4/3[tex]pi^3[/tex]
In that case, the answer should be an estimated 113.1
Add the two cm's together.
[tex]320 + 113.1 = 433.1[/tex]
Please note that this is rounded to tenths place and estimated.
Please mark brainliest. Thanks! :)
First of all we will divide the figure in two shapes. One is hemisphere and other is a cuboid.
Volume of hemisphere:
[tex] \boxed{ \tt \:v = \frac{2}{3} \pi {r}^{3} }[/tex]
Volume of cuboid:
[tex] \boxed{ \tt \: v = length \times breadth \times height}[/tex]
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Volume of the hemisphere ⤵️r = 3 pi = 22/7[tex] \sf \dashrightarrow \: v = \frac{2}{3} \times \frac{22}{7} \times {3}^{3} [/tex]
[tex] \sf \dashrightarrow \: v = \frac{2}{ \cancel3} \times \frac{22}{7} \times \cancel{27}[/tex]
[tex] \sf \dashrightarrow \: v = 2 \times \frac{22}{7} \times 9[/tex]
[tex] \sf \dashrightarrow \: v = \frac{396}{7} [/tex]
[tex] \sf \dashrightarrow \: v = 56.6 \: {cm}^{3} [/tex]
Volume of the cuboid ⤵️Length = 8cmBreadth = 10cmHeight = 4cm[tex] \bf \multimap \: v = 8 \times 10 \times 4[/tex]
[tex] \bf \multimap \: v = 80 \times 4[/tex]
[tex] \bf \multimap \: v = 320 \: {cm}^{3} [/tex]
Now, Total volume ↯[tex] \rm \leadsto \: total \: volume = 56.6 + 320 \: {cm}^{3} [/tex]
[tex] \rm \leadsto \: total \: volume = 376.6\: {cm}^{3} [/tex]
If we round to the nearest tenth the total volume is ᭄
[tex] \rm \twoheadrightarrow volume = 380 \: {cm}^{3} [/tex]
8. Describe the error made when solving this equation:
2(x-3)=5
2x - 3= 5
2x=87
x = 4 please helppp!
Answer:
you forgot to distribute 2 into the -3
I'm going to assume you ment 8
Step-by-step explanation:
2(x-3)=5
2x-6=5
+6 to both sides
2x=11
÷2 both sides
x = 5.5
f - 20 = -34.75
6
This is f/6 like a fraction.
Answer:
f/6 - 20 = 34.75
f = -88.5
Step-by-step explanation:
-88.5/6 = -14.75
-14.75 - 20 = 34.75
2) () = 2 + 4 − 40 is the total daily cost to produce for x bracelets. The bracelets sell for $8 each. (I kept the numbers in the problem small to make the math easier) a) Create a revenue function b) Create a profit function c) Determine the number of bracelets the company should produce and sell to maximize profit. d) What is the maximum profit?
Answer:
The answer is below
Step-by-step explanation:
Given the cost as C(x) = x² + 4x - 40
a) Since the bracelets sell for $8 each, the revenue from x bracelets is given as:
Revenue = price for each bracelet × number of bracelet
Revenue = 8 × x = 8x
b) Profit (P) = Revenue - Cost
P(x) = 8x - [x² + 4x - 40]
P(x) = 8x - x² - 4x + 40
P(x) = -x² + 4x + 40
c) To maximize profit, the derivative of profit is equal to 0
Hence P'(x) = 0
-2x + 4 =0
2x = 4
x = 2
To maximize profit, the company should produce 2 bracelets
d) The maximum profit is:
P(2) = -(2²) + 4(2) + 40 = -4 + 8 + 40
P(2) = $44
The maximum profit is $44