Answer:
The greatest common factor of 88 and 100 is 4
Step-by-step explanation:
what is the equation of a circle with a center located at (4,-1) and a radius of 9
The equation for a circle with the given information would be (x - 4)^2 + (y + 1)^2 = 81.
This is because the base form of a circle is:
(x - x1)^2 + (y - y1)^2 = r^2
In which, x1 is the x coordinate of the center and y1 is the y coordinate of the center. r is the radius of the circle. So we plug in to those and simplify.
(x - 4)^2 + (y - -1)^2 = 9^2
(x - 4)^2 + (y + 1)^2 = 81
You and a friend stand back to back. You run 20 feet forward then 15 feet to the right. At the same time, your friend runs 16 feet forward then 12 feet to her right. She stops and hits you with a snowball. How far does your friend throw the snowball?
if the length of an arc is 12π inches and the radius of the circle us 10 inches, what is the measure of the arc?
Answer:
The measure of arc is 216°
Step-by-step explanation:
Length of arc, L = 12π inches
Radius of the circle, R = 10 inches
Formula: [tex]\theta=\dfrac{L}{R}[/tex]
Where, [tex]\theta[/tex] in radian.
By substituting L and R into formula.
[tex]\theta=\dfrac{12\pi}{10}[/tex]
[tex]\theta=\dfrac{6\pi}{5}[/tex]
Now we change radian to degree
[tex]\text{Degree }=\dfrac{\text{Radian}}{\pi}\times 180^\circ[/tex]
[tex]\text{Degree }=\dfrac{6\pi}{5\pi}\times 180^\circ[/tex]
Central angle = 216°
Hence, The measure of arc is 216°
PLEASE HELP! EASY 10 POINTS
How would you use a yardstick to measure the length of a rug
The smaller triangle was dilated to form the larger triangle. What is the value of x?
6.9
7.5
10
11
Answer:
7.5
Step-by-step explanation:
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid
Answer:
The surface area of the pyramid is [tex]228\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the Pyramid is equal to
[tex]SA=B+LA[/tex]
where
B is the area of the base of the pyramid
LA is the lateral area of the pyramid
In this problem we have
[tex]B=36\ cm^{2}[/tex]
Find the lateral area LA
Remember that the lateral area is the area of its four lateral faces
so
Multiply the area of a lateral face by 4 (because is a regular quadrilateral)
[tex]LA=(4)(48)=192\ cm^{2}[/tex]
Find the surface area SA
substitute the values
[tex]SA=36+192=228\ cm^{2}[/tex]
The surface area of the pyramid is 228 square cm.
What is the regular quadrilateral pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2.
The surface area of the pyramid is;
[tex]\rm Surface \ area=B + LA[/tex]
Where; B is the area of the base of the pyramid, LA is the lateral area of the pyramid.
The area of a lateral face by 4 (because is a regular quadrilateral) is;
[tex]\rm LA=4(48)=192[/tex]
Substitute all the values in the formula;
[tex]\rm Surface \ area=B + LA\\\\\rm Surface \ area=36+192\\\\\rm Surface \ area=228[/tex]
Hence, the surface area of the pyramid is 228 square cm.
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denominator vs numerator
–3x + 1 + 10x = x + 4
Factor by grouping Ab+4+a+4b
Answer:
Factor by grouping Ab+4+a+4b
[tex](b+1)(a+4)[/tex]
Step-by-step explanation:
Factor by grouping:
[tex]ab+4+a+4b[/tex] (1)
We have some common terms, the term a and the number 4: [tex]ab+a+4+4b\\a(b+1)+4(b+1)[/tex]:
Now, we have other common term, (b+1)
[tex]a(b+1)+4(b+1)\\(b+1)(a+4)[/tex]
WILL GIVE BRAINLIEST TO CORRECT ANSWER 15 POINTS
Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown: Two right triangles ABC and EDC have a common vertex C. Angle ABC and EDC are right angles. AB is labeled 11 feet, AC is labeled 13 feet, EC is labeled 10 feet, and ED is labeled 5 feet. What is the approximate distance, in feet, between the two poles?
Its 15.59, it corresponds with the other questions.The other answers never appear twice.
Answer:
15.59
Step-by-step explanation:
William is reading a book for class . The book is 94 pages long . For the first assignment , William read 25 pages . For the second assignment , he read 37 pages . For the last assingment , he has to finish the book. How many pages does he have left to read
25 + 37 = 62
94 - 62 = 32 pages
Y = 4x + 2 y = x + 5 on a graph
A pie is cut into two equal pieces. Each of the pieces was cut into halves again and each of the smaller pieces was cut into two equal pieces. If two of the pieces of the pie are eaten what portion of the pie remains?
Answer:
→When, pie is cut into two equal pieces,
If represented in terms of fraction , value of each part
[tex]=\frac{1}{2}[/tex]
→Now, the two parts is cut into halves again, then in terms of fraction, each part will be represented as
[tex]=\frac{1}{2\times 2}\\\\=\frac{1}{4}[/tex]
→Now, the two parts is again,cut into halves again, then in terms of fraction, each part will be represented as
[tex]=\frac{1}{2\times 2 \times 2}\\\\=\frac{1}{8}[/tex]
→Now, two of the pieces of the pie are eaten,which will be equal to
[tex]=\frac{1}{8}+\frac{1}{8}\\\\=\frac{2}{8}\\\\=\frac{1}{4}[/tex]
⇒Portion of the pie which is remaining
[tex]=1-\frac{1}{4}\\\\=\frac{3}{4}[/tex]
square root of 16 times the square root of 25
[tex] \sqrt{16} \times \sqrt{25} [/tex]
Find the radius of a circle that has an area of 100π ft2
The probability of selecting the letter Z at random from the letters of the alphabet is 1 half 26.
A.Theoretical
B. Empirical
Anne plans to increase the prices of all the items in her store but 5%. To the nearest cent how much will an artist saved if the artist buys a canvas and a frame that each measures 24 by 36 in before the price increase goes into effect. 24/36 canvas price 22.80 and the frame price is 89.98
The artist will not save any money, but will end up paying $24.06 more after the price increase.
Explanation:To find out how much the artist will save, we first need to calculate the original cost of the canvas and frame. The price of the canvas is $22.80 and the frame is $89.98. Next, we calculate the price increase of 5% for both the canvas and frame. To do this, we multiply the original prices by 0.05. After that, we add the price increase to the original prices to get the new prices. Finally, we subtract the new prices from the original prices to find the amount saved by the artist.
The calculations are as follows:
Canvas price increase: $22.80 x 0.05 = $1.14New canvas price: $22.80 + $1.14 = $23.94Frame price increase: $89.98 x 0.05 = $4.50New frame price: $89.98 + $4.50 = $94.48Amount saved: ($22.80 + $89.98) - ($23.94 + $94.48) = $94.36 - $118.42 = -$24.06The artist will actually end up paying $24.06 more after the price increase, rather than saving any money.
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India can paint 3 ½ walls in one day. How many walls can she paint in 5 ½ days?
shari has 1 1/2 gallons of orange juice. She wants to serve the orange juice equally among her 12 friends. How many ounces of juice will each friend receive
What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.
A. The cone has the greater volume.
B. The cone and cylinder have the same base area.
C. The volume of the cone is 1/3 the volume of the cylinder.
D. The cylinder can fit inside the cone.
E. The cone and cylinder have the same diameter.
The cone has a greater volume than the cylinder, and their base areas are equal, but the cone's volume is 1/3 of the cylinder's volume.
A. The cone has the greater volume.
B. The cone and cylinder have the same base area.
C. The volume of the cone is 1/3 the volume of the cylinder.
Which is the equation in slope intercept form for the line that passes through (-2,4) and is parallel to 2x + y = 4
If lines L and M are parallel in the given diagram and angle 5 is 132°, what is the measure of angle 3?
Since lines L and M are parallel, corresponding angles such as angle 5 and angle 3 will be equal. Thus, if angle 5 is 132°, angle 3 will also be 132°.
Explanation:This question concerns parallel lines and the angles formed by a transversal cutting across them. The lines L and M in the given diagram are parallel. Parallel lines have a special property where corresponding angles are equal. If angle 5 measures 132°, then the corresponding angle, angle 3, also measures 132°, because of this property of parallel lines.
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The price of an item has been reduced by 35%
. The original price was $71.
.
Liz is putting wallpaper on a 9-foot by 12foot wall. The roll of wallpaper is 30 inches wide. What is the area
From a barrel of colored marbles , you randomly select 5 blue , 2 yellow , 3 red , 4 green , and 2 purple marbles. Find the expreimetal probability of randomly selecting a marble that is NOT yellow .
1. 9 / 16
2. 7 / 8
3. 8 / 9
4. 3 / 4
Answer:
4/5
Step-by-step explanation:
From your experiment of drawing 20 marbles you now have a proportion of non-yellow marbles to total marbles and from that you can come up with an experimental probability that you'll draw a non-yellow marble.
P(not yellow) = 16/20
But that can be reduced by dividing top and bottom by 4:
What is the range of the function graphed below?
Option: C is the correct answer.
The range of the function which is graphed is:
C. All real numbers.
Step-by-step explanation:Domain of a function--
The domain of a function are the set of all the possible x values for which the function is defined.
Range of a function--
The range of a function are the set of all the possible values which are attained by a function in it's defined domain.
By looking at the graph of the given function we observe that the function is strictly increasing and it takes all the real values i.e. it takes all the values from (-∞,∞).
Hence, the answer is: Option: C
Twenty-five percent of 66 is ______
can anyone help me please
Which one is bigger 11 g or 10,800 mg