Answer:
100:64
Step-by-step explanation:
i don't know how i got it LOL
The ratio of the area of circle A to the area of circle B for the considered circle A and B is 100:64
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Let we suppose that:
The radius of circle A = C unitsThe radius of circle B = s units.Then we get:
Circumference of circle A = [tex]2\pi r \: \rm units[/tex]Circumference of circle B = [tex]2\pi s \: \rm units[/tex]As per the given information:
The circumference of a circle B is 80% of the circumference of circle A, or:
[tex]2\pi s \: \rm units[/tex] = 80% of [tex]2\pi r \: \rm units[/tex]
or:
[tex]2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units[/tex]
Also, we have:
Area of circle A = [tex]\pi r^2 \: \rm units[/tex]Area of circle B = [tex]\pi s^2 \: \rm units[/tex]The rato of the area of the circle A to the area of the circle B is:
[tex]Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2[/tex]
since we've got [tex]s= 0.8r[/tex], therefore,
[tex]Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64[/tex]
Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is 100:64
Learn more about ratio here:
brainly.com/question/186659
Solve for x.
Use the completing the square method.
4x2−7x−8=0
Round decimals to the nearest tenth.
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
What part of the circumstance is an arc whose measure is 30
Answer:
1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.
Step-by-step explanation:
Please help! Correct answers only please!
Answer:
5
Step-by-step explanation:
The check digit is the very last digit on the right, the one by itself
5
jdhdusndjskdbkanxjsidnw
mary practiced piano for two or more hours each week write and solve an inequality to represent how many hours mary practiced the piano in 4 weeks
Answer:
Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]
Step-by-step explanation:
Mary practiced the piano for two or more each week, in other words the number of hours practiced in a week must be equal or greater than 2. A math expression that can represent this situation can be seen below:
[tex]\text{week practice} \geq 2[/tex]
The problem wants us to write an inequality to state how many hours she practiced in four weeks. In order to do this, we need to multiply the number of hours she practiced in a week, given by the last expression, by four. We have:
[tex]\text{four week practice} \geq 4*2\\\text{four week practice} \geq 8[/tex]
Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]
Consider the function represented by the table.
The ordered pair given in the bottom row can be written
using function notation as
2
7
9
f(x)
6
3
5
f19)=5.
Of(5)=9.
O f5.9)=14
119.5)=14.
Market
Andreu
Save and Edit
com/content. Amen
Answer:
A
f(9) = 5
Step-by-step explanation:
Ex:
If we have an x value of 9, it would look like
f (9) = 9 + y-intercept
So in this situation we have a x-value of 9.
We know that at 9, y = 5.
So f (9) = 5.
Answer:
The answer is A
Step-by-step explanation:
Just took the test on Edge
I have never been marked Brainiest before if you would PLEASE pick mine.
Find the indicated side of the right triangle. Please help
Answer:
14
Step-by-step explanation:
[tex] \sin \: 30 \degree = \frac{7}{x} \\ \\ \frac{1}{2} = \frac{7}{x} \\ \\ x = 2 \times 7 \\ \\ x = 14[/tex]
Factorise 3x plus 6. Please nowwww answer
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor 3 out of 3x.
3(x)+6
Factor 3 out of 6.
3x+3⋅2
Factor 3 out of 3x+3⋅2.
3(x+2)
PLEASE SEE PIC BELOW
Answer: third one
Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.
Here are four equations connecting x and y.
kis a constant
Match each equation to one of the statements A B C or D.
Equation 1 Equation 2 Equation 3 Equation 4
y=kx
y=
Ay is directly proportional to x
By is directly proportional to x
Cy is inversely proportional to x
Dy is inversely proportional to x
View One Minute Version
Answer:
The answer is explained below
Step-by-step explanation:
y = kx
A) y is directly proportional to x
When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.
If y is directly proportional to x, and k is the constant it can be represented by the equation:
y = kx
y = k/x
C) y is inversely proportional to x
When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.
If y is inversely proportional to x, and k is the constant it can be represented by the equation:
y = k/x
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers) If Ramiro stops using his credit card, how long will it take him (in months) to pay off the $500.00 if he makes only the minimum payment?
Answer: It will take approximately 30 months to pay off the $500.00.
Step-by-step explanation:
Since we have given that
Principal = $10.00
Amount = $500.00
Rate of interest = 18.24%
So, we will apply "Compound interest" to find the number of months:
[tex]A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5[/tex]
So, the number of months would be
[tex]2.5\times 12=30\ months[/tex]
Hence, it will take approximately 30 months to pay off the $500.00.
All Food City oranges are normally $3 per pound, but this week they are on sale for $2 per
pound. What is the percent decrease in price?
Answer:
33.33%
Step-by-step explanation:
The oranges have decreased by one dollar per pound so you have to find the percentage of 3 that is 1. To do this is 1 over 3 multiplied by 100%
= [tex]\frac{1}{3} \\[/tex] * 100%
And this will give you 33.33%
Ms. bloom
has 15/16 of a pack of construction papers at her desk. Ms. White takes another 2 new packs of construction papers to the class for an art project. The students use 13/16 pack for the art project. How many packs of construction papers are left?
Answer:25
Step-by-step explanation:
you have to times 5 by 5
A cake is made out of 2 identical trapezoids. Each trapezoid has a height of 11 inches and base of 9 inches and 14 inches . What is the area of one of the trapezoid pieces
Answer:
Area is 126.5 inches^2
Step-by-step explanation:
Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;
A = 1/2(a + b) h
here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11
Plugging these values into the equation, we have
A = 1/2(9 + 14)11
= 1/2(23)11 = (23*11)/2 = 126.5 inches^2
In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical values in that order with the measures separated by commas.
Answer:112,112,68
Step-by-step explanation:
You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68
Answer:
112, 112, 68
Step-by-step explanation:
What is the area of the parallelogram. A. 131.1 m² B. 197.34 m² C. 262.2 m² D. 394.68 m²
Answer:
D) 394.68cm^2
Step-by-step explanation:
Area of a parallelogram is calculated by multiplying height to the base
13.8 × 28.6 = 394.68
Answer:
area of parallelogram= length of base × perpendicular height
28.6×13.8
= 394.68m²
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
[tex] \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
[/tex]
Is triangle LWO congruent to triangle BST?
Answer:last one
Step-by-step explanation:
last one
Answer:
lasat oine
Step-by-step explanation:
Maria rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. Which denominator will the fraction always convert to a repeating decimal?
Answer:
The answer is 11
Step-by-step explanation:
Since 11 is a prime number, it cannot be divided by anything, so when it is divided by something, it will always result in a repeating decimal.
Answer:
11
Step-by-step explanation:
what are the coordinates of D’
Answer:
(-2,-1)
Step-by-step explanation:
Reflection across the x-axis is: [tex](x,y)\rightarrow(x,-y)[/tex]
We need to multiply the y-value of the pre-image by negative one to get reflected across the x-axis.
1 * -1 = -1
So:
[tex](-2,1)\rightarrow(-2,-1)[/tex]
D' should be (-2,-1).
which set of values belong to the domain and range of a relation
where's your picture?
What is the surface area of a rectangular prism with a width of 5cm, length
of 4cm and height of 3cm?
Answer:
It would be 94 cm
Step-by-step explanation:
Answer:
94 cm
Step-by-step explanation:
just googled a rectangular prism calculator
Which shows a perfect square trinomial please help soon
Answer: The answer is C, the third one.
Step-by-step explanation: Copy and paste the whole page into google. The top brainly result will appear and give the answer.
state if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statement. Part 4
a. similar, SSS similarity
b. similar, SAS similarity triangle LSR
c. not similar
Answer: a) similar, SSS similarity
Step-by-step explanation:
ΔLSR sides in order from least to greatest are: 24, 33, 36
ΔLNM sides in order from least to greatest are: 112, 154, 168
If the triangles are similar then their corresponding sides will be proportional
[tex]\dfrac{LS}{LN}=\dfrac{SR}{NM}=\dfrac{LR}{LM}\\\\\\\\\\\dfrac{LS}{LN}=\dfrac{24}{112}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{SR}{NM}=\dfrac{33}{154}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{LR}{LM}=\dfrac{36}{168}\quad \rightarrow \dfrac{3}{14}[/tex]
Their corresponding sides are proportional so
ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem
PLEASE HELP FOR A COOKIE
If the ratio of RS/ST=5/7, find the value of x, RS, RT.
RS=2x+9
ST=4x-15
WRITE AN EQUATION
you bought a magazine for $5 and four erasers. you spent a total of $25. write a tip step equation to find the cost of the erasers.
5+x=25. 5+4x=25. 5x=25. 25 - 5 =-4x
Answer:
5+4x=25
Step-by-step explanation:
Answer:
5+4x=25
Step-by-step explanation:
somebody help me I’m struggling
Answer:
A. $ (5 + 2x), B. = $ 305
Step-by-step explanation:
x miles
A. cost for x miles = 5 + 2x ($)
B. cost for 150 miles = 5 + 2*150 =305 ($)
Answer:
A. let the mile driven = x
5 + 2x
B. × = 150 mile
taxi service = $5 + $2(150)
= $305
*in an equation u dont have to write the symbol . for example, $, ml, km, etc.
what is a cofunction
Answer:
A cofunction is whenever A and B are completmentary angles.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please answer correctly !!!! Will mark brianliest !!!!!!!!
Answer:
(5x+2)(3x-2)
Step-by-step explanation:
15x^2-4x-4
= 15x^2+6x-10x-4
= 3x(5x+2) - 2(5x+2)
= (5x+2)(3x-2)
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....
Write the vertex form for x^2 +6x +2. *write your answer as y= ()^2
Answer:
y = (x + 3)² - 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
To obtain this form use the method of completing the square
Given
y = x² + 6x + 2
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 2
= (x + 3)² - 7
If f(x) = 4x + 5, determine the value of f(−3) .
Answer:
F(x)= -7
Step-by-step explanation:
f(-3)=4(-3)+5
F(-3)= - 12 + 5
F(x)= -7
Hope this helps
Answer:
f(-3)= -7
Step-by-step explanation:
To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.
f(x)=4x+5
Therefore, we can substitute -3 in for x.
f(-3)=4(-3)+5
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
Multiply 4 and -3
f(-3)=-12+5
Add -12 and 5
f(-3)= -7
