The radius of the larger circle is 8 inches
What is a circle?A circle is a round plane shape, whose circumference consists of points equidistant from a fixed point.
To calculate the radius of the larger circle, we use the formula below.
Formula:
A = 4A'............. Equation 1Where:
A = Area of the larger circleA' = Area of the smaller circle.But,
A = πR².............. Equation 2A' = πr²........... Equation 3Where:
R = Radius of the larger circler = radius of the smaller circle.Substitute equations 2 and 3 into equation 1
πR² = 4πr²R² = 4r²R = 2r .............. Equation 4Given:
r = 4 inchesSubstitute this value into equation 4
R = 2×4R = 8 inchesHence, The radius of the larger circle is 8 inches.
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A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41. 4 square centimeters. What is the length of the longer side of the rectangle?Use 3. 14 for π. Enter your answer as decimal in the box
The length of the longer side of the rectangle is 8.78cm
Area of composite figureThe formula for calculating the area of a rectangle is expressed as:
A = lw
For a semicircle;
A = πr²/2
r is the radius
Area of the figure = lw + πr²/2
Substitute the given paramters
41.4 = 4w + π(2)²/2
41.4 = 4w + 6.28
4w = 41.4 - 6.28
4w = 35.12
w = 35.12/4
w= 8.78 cm
Hence the length of the longer side of the rectangle is 8.78cm
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the distance covered by a spider is 5 km in 6 hours. What is its speed?
Answer:
0.83km/h
Step-by-step explanation:
v (velocity/speed) = d (distance)/t (time)
v = 5km/6h
v = 0.83km/h
For a new hobby, Leo purchases a vintage camera for $475. Leo pays $5.99 for each roll he gets developed. Calculate how much Leo’s new hobby is costing him based on the number of film rolls he needs to develop.
Answer:
A = 5.99x + 475
Step-by-step explanation:
In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.
How many liters are there in a tank of volume 7.32m³?
Answer: 3 liters in a tank of volume 7.32m^3
Step-by-step explanation:
The temperature outside changed from 94°F to 46°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
6°F
Step-by-step explanation:
First, subtract 46 from 94 (94-46) and you will get 48.
Then, divide 48÷8 (because the time period is 8 days) and you will get 6.
Therefore, the daily temperature change is 6°F.
find the lateral area of the figure geometry
Answer:
A) 420 in²Step-by-step explanation:
The lateral surface area excludes the area of top and bottom faces.
Given is the right pentagonal prism with side length of 7 in and height of 12 in.
The lateral area is:
L = Ph = 5*7*12 = 420 in²Correct choice is A
WHAT IS THE MEAN MEDIAN MODE?
Answer:
the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data
Step-by-step explanation:
Which of the following expressions are equivalent to 4^-3/4^-8? Check all that apply.
4^8/4^3
4^-8/4^-3
4^-5
4^5
Answer: 4^5
Step-by-step explanation:
4^5. when you divide exponents you just subtract them, so -3-(-8) is 5.
Find the slope of the line that passes through the following points: (1,0)
and (6,-3). (Show your work.)
Answer
-3/5
Step-by-step explanation:
to find this you have to use the equation y1 - y2 / x1 - x2
so first write -3 - 0 (or 0 - - 3) over 6 - 1
it looks like -3/5
is 14.624777961 rational or irrational
Step-by-step explanation:
Rational number because it's terminating
please solve: -15=x-16
Answer:
-15=x-16
x-16= -15
x= -15+16
x=1
Downtown it snowed 1/10 of an inch inthe morning and 3/10 of an inch in the evening. How much more snow fell in the evening than in the morning?
Answer:
2/10
Step-by-step explanation:
Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.
Have an amazing day!
PLEASE RATE!!!
How do i figure out the degrees?
Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
__
Additional comment
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.
16w+2 simplified
Factor the expression by the greatest common factor
Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
Hello.
Remember that factoring is the opposite of distributing.
Factoring looks like this:
ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor
In this case, the Greatest Common Factor is
2
Now, divide both terms of the expression by 2.
2(8w+1)
Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.
16w+2
See? We have the original expression.
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
8. Evie buys colored
Pencils for $3.79
markers for $5.80, and
paper for $2,57, She
Pays 6.25% Sales tax.
How much does she
spend total?
4s^3 when s=2
plsss help
Answer:
32
Step-by-step explanation:
=> 4s[tex]{}^{3} [/tex]
=> 4(2)[tex]{}^{3} [/tex]
=> 4(2×2×2)
=> 4(8)
=> 32
I have a test tomorrow! I am trying to study. I have no clue what the difference between scale and scale factor is! How do you find them? I have to know in 20 min. Please HELP!!!
Answer:
they are similar
Step-by-step explanation:
a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors
Let's see
Scale usually denotes unit rate or a numerical value change mentioned above graphs
1in=3ft.1cm=1mScale factor is same but it uses factors .
like
1/32/53. Find the geometric mean of 4 and 10. (1 point) A. 20 B. 7 C. SQ root of 14 D. 2x SQ root of 10
Answer:
[tex]2\sqrt10[/tex]
6.3 to the nearest 10th
Step-by-step explanation:
Hope this helped :)
Kevin plants a total of 72 flowers in equal rows. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row.
Answer:
72 +6+2 equal80
Step-by-step explanation:
have to pluse all
Naelly is taking a class trip to Washington DC. The cost of the trip is $459. 60. Naelly paid an initial deposit of $150, and must make the remainder of the payments in 12 equal monthly payments. What is the amount of each monthly payment in dollars and cents?
459.6 - 150 = 309.6
309.6 / 12 = $25.80 a month for 12 months
Which is the estimate of 398 x 1.9?
Answer:
800
Step-by-step explanation:
When we say estimate, we must estimate the 2 numbers to their closest answer:
398- 400 when rounded to the nearest 100
1.9- 2 when rounded to the nearest whole number
So we get the estimate equation as: 400×2= 800
Solution:
We know that:
[tex]\tex\text{398 can be rounded to 400, as 398 is close to 400.}[/tex][tex]\tex\text{1.9 can be rounded to 2, as 1.9 is close to 2.}[/tex]This means that:
[tex]398 \times 1.9[/tex] ≈ [tex]400 \times 2[/tex]Simplifying "400 x 2"
[tex]400 \times 2[/tex] [tex]= 800[/tex]Thus, the estimate of 398 x 1.9 is about 800.
Ms. Pierce bought a camera that cost $450. She also had to pay an additional 5% sales tax. How much did Ms. price pay for the camera
A recipe uses 5 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?
Write an expression to represent the perimeter of Melissa’s garden in terms of x.
Type the correct answer in each box. Use numerals instead of words.
As no diagrams attached provided the formulas which can helps you to solve by yourself
Square--4(side)Rectangle--2(Length+Breadth)Triangle--(Sum of 3 sides)Any quadrilateral--(sum of 4 sides)The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is given as
P = 2(x+ y)
where;
x = 3x + 2
y = x + 5
Substitute
P = 2(3x + 2 + x + 5)
P = 2(4x + 7)
P = 8x + 14
Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14
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please helppppppppppp
Answer:
x=√-5
Step-by-step explanation:
8-3x=√(4x^2+20)+8
-8 -8
-3x^2=√(4x^2+20)^2
-3x^2=4x^2+20
-4x^2=20
divide both sides by -4
x^2=-5
√(x^2)=√-5
x=√-5
HELP! QUICK!
Find the length and width of rectangle CBED, and calculate its area.
Answer:
170 units
Step-by-step explanation:
60+60+25+25=170
The 60 and 60 can be found by adding the length, 20+35+5.
The 25 and 25 can be found by taking 55+8-(30+8) for the widths.
Answer:
Step-by-step explanation:
Length = DE =OP
OP = 5 + 20 + 35 = 60 ft
Length of the rectangle CBED = 60ft
Width CD = CJ - (DG +GJ)
= 55 - (8 + 30)
= 55 - 38
= 17 ft
Area of CBED = length * width
= 60 * 17
= 1020 ft²
Bananas cost $0.50 each, and apples cost $1.00 each.
(a) Elena would like to spend exactly $3.50 on buying fruits. If she buys 1 banana, how
many apples can she buy?
(b) Is it possible for Elena to buy 2 bananas, if she wants to spend exactly $3.50? Why or
why not?
Answer:
(a) 3 apples (b) no
Step-by-step explanation:
(a) 1 bannana = 0.50
3 apples = 3.00
total = 3.50
(b) Not possible because 2 bannanas = 1 dollar 3 bananas = 1.50 then 1.50 + 2.00 apples = 3.50
Please answer this friends ?
Answer: Rs. 6075
40500×(15/100)= 6075
Step-by-step explanation:
What are the values of the variables in the triangle below?
Answer:
D) x=9 ; y=3√(3)
Step-by-step explanation:
[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]
[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]
[tex]\sqrt{3}y=9[/tex]
[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]
[tex]y=3\sqrt{3}[/tex]
~
[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]
[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]
[tex]\sqrt{3}x=9\sqrt{3}[/tex]
[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x=9[/tex]
Therefore, x=9 and y=3√(3)
~
math answer? can someone help?
Answer:
I think the answer is "A"