Answer:
radius = 17 units
equation of the circle =( x -h)^2 +(y -k) ^2 = r^2
or , (8 -(-7))^2 + (7-(-1))^2 = r^2
or, (8+7)^2 + (7 + 1)^2 = r^2
or, (15)^2 + (8)^2 =r^2
or, 225 + 64 = r^2
or 289 =r^2
or, 17^2 = r^2
or, r = 17 units
Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation
(x-h)^2 + (y - k)^2 = r^ 2.
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there?
Make a list of all the possible combinations using the numbers 1 to 5 to represent the photos.
Answer:
C(5,3)=10
Pictures 1,2,3,4,5
So the Possible sets are:
(1,2,3) (1,2,4)
(1,2,5) (1,3,4)
(1,3,5) (1,4,5)
(2,3,4) (2,3,5)
(2,4,5) (3,4,5)
The requried 10 possible sets of three photos can be selected from the group of five.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
The number of sets of three photos that can be selected from a group of five photos is given by the combination formula:
C(5, 3) = 5! / (3! * 2!) = (5 * 4 * 3) / (3 * 2 * 1) = 10
Therefore, there are 10 possible sets of three photos that can be selected from the group of five.
The 10 possible combinations are:
{1, 2, 3}
{1, 2, 4}
{1, 2, 5}
{1, 3, 4}
{1, 3, 5}
{1, 4, 5}
{2, 3, 4}
{2, 3, 5}
{2, 4, 5}
{3, 4, 5}
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This is part two go cheap the part one to understand
Answer:
8
24
3
yes
Step-by-step explanation:
the original area of the figure is 4 · 2 which equals 8.
Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.
So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.
PLSSS HELPP REWARD BRAINLIESTTT
Answer:
x=-7 y=-2x²-4x-5
Step-by-step explanation:
Line x is parallel to line y. Line z intersects lines x and y.
1/2
4/3
5/6
8/7
Determine whether each statement is Always True, Sometimes True, or Never True.
Always True Sometimes True Never True
m2 1 + m 24 = 180°
m2 5 - m2 7 = 0°
ZIY
22 28
m22-23= m_1-m24
ооооо
OOOOO
ооооо
The ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.
What is Coordinate System?Arrangement of reference lines or curves used to identify the location of points in space is called coordinate system.
Line x is parallel to line y.
Line z intersects lines x and y.
∠1+∠4=180 degree is always true.
∠5-∠7=0 is always true because the two angles are true.
z⊥y is sometimes true.
∠2≅∠8 is always true because the two angles are congruent.
∠2-∠3=∠1-∠4 will be sometimes true.
Hence, the ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.
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connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she sell to make $8.00
Answer:34
Step-by-step explanation:
Please help, no links please I really need help.
9. Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed
below include tax. He buys a new bicycle for $273.98. He buys 3 bicycle
reflectors for $7.23 each and 1 bicycle helmet for 42.36. he plans to use
the remaining money to buy new cycling outfits for $78.12 each. Write and
solve an inequality to determine the greatest number of cycling outfits
that Mr. Mc Donald can buy with the remaining money? *
Answer:
This will explain it
Step-by-step explanation:
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
Help me out please???
Answer:
it's an equilateral triangle, so all the angles will be equivalent.
2x + 2x + 2x = 180
6x = 180
x = 30°
Answer:
30
Step-by-step explanation:
So, the solve this, lets first find the type of traingle it is.
Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.
This means both the sides and angles will be the same.
Remember, there are 180 degrees in a triangle.
So we can think of it like this, since there are 3 angles, each being 2x:
6x=180 degrees
Now we can just get x alone by divide by 6:
x=30
So your answer is 30!
I hope this helps! :)
The souvenir stand sells the hats for $11.75 each , the postcards for $0.25 each , and the magnets for $3.50 each . Write an expression for the total amount of money they would take in if they sold all the items
Answer:
9.2h+50
Step-by-step explanation:
im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer
If a= -3 what is the value of 3a^2
Answer:
a = -3
Substitute...
3 (-3)^2
3 • (-3)(-3)
3 • 9 = 27
Here is a list of numbers:
18, -4, -3, -19, 11, 1, -16 ,15 ,9 ,5
State the median.
Answer:
6
Step-by-step explanation:
To find the median you simply look for the number in the middle of the list.
In this particular case 1 and 11 are both the fifth number in the series of numbers. When this happens you have to add the two terms together (1+11) and divide by two (12/2)=6
A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.
The volume of the mountain is approximately
nothing cubic kilometers.
(Round to the nearest whole number as needed.)
Answer:
34.54 [tex]km^{3}[/tex]
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Height (h) = 3.7 km
Base radius (r) = 3 km
We can calculate the volume of mountain by using following formula,
So, volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
= (1/3) π × [tex]3^{2}[/tex] × 3.7
= 11.1π
= 34.54 [tex]km^{3}[/tex]
Hence, the volume of the mountain is 34.54 [tex]km^{3}[/tex].
the population of hillville grows at an annual rate of 15%. What will the estimated population of hillville be in five years?
Answer:
If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.
Step-by-step explanation:
Anyone know this?? I’m confused..
Answer:
jgh
side side side axioms
not sure
Answer:
[tex]\triangle CAB\cong \triangle ONP[/tex]
Step-by-step explanation:
Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].
The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.
Help me plssss I rlly need the answer to this
A rectangular prism holds 450 cm of water. What is the height of the prism, in
centimetres if the base is 15 cm x 10 cm?
Step-by-step explanation:
see the photo for the answer
Which equation or function is linear?
Answer:
I think that the answer might be b
Answer:
the third one
Step-by-step explanation:
y=mx+b is the formula for a liniear equation and that follows it correctly simplified
Explain why the graph shown may be misleading.
The radius of a circle is 3 inches. What is the length of a 45° arc?
Answer:
[tex]\frac{3\pi}{4}\:\text{inches}[/tex]
Step-by-step explanation:
The length of an arc is a part of the circle's circumference.
The circumference of a circle is equal to [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, the circumference of the circle is [tex]2\pi(3)=6\pi[/tex].
Since there are 360 degrees in a circle, the length of a 45 degree arc is equal to [tex]\frac{45}{360}[/tex] of the circumference.
Thus, the length of the arc is equal to [tex]\frac{45}{360}\cdot6\pi =\boxed{\frac{3\pi}{4}\:\text{inches}}[/tex].
If cos 0 = 1/2, find the degree measure of 0.
Answer:
60°
Step-by-step explanation:
if you look on a unit circle the coordinates correspond to (cos, sin) so at 60° they are (1/2, √3/2)
Please solve for x tap on the picture
[tex]\sqrt{6}+\sqrt{6}[/tex]
please I need it fast with steps
Answer:
[tex]2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{6} +\sqrt{6} =2\sqrt{6}[/tex]
Mhanifa please help! Find the missing side. Round to the nearest tenth
Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x
[tex]tan(68)=\frac{x}{20}[/tex]
Now we solve
* multiply each side by 20 *
[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]
we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)
[tex]tan(62)=\frac{16}{x} \\[/tex]
*multiply each side by x*
[tex]xtan(62)=16[/tex]
*divide each side by tan(62)
[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]
we're left with x = 6.5
For 14)
[tex]tan(15)=\frac{12}{x}[/tex]
multiply each side by x
[tex]xtan(15)=12[/tex]
divide each side by tan15
[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]
we're left with x = 44.8
For 15)
[tex]tan(74)=\frac{16}{x}[/tex]
multiply each side by x
[tex]xtan(74)=16[/tex]
divide each side by tan(74)
[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]
we're left with x = 4.6
A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?
Please help me this is turn in tomorrow please.
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)
dexter has a total of 50 red, blue and green straws if he has 20 red straws, what fraction of dexter's straws are red?
Answer:
2/5
Step-by-step explanation:
20/50 is 2/5 simplified
Answer:
20/50=2/5
Step-by-step explanation:
Please help! I will give Brainliest!
Who is correct?
Answer: Gary
Step-by-step explanation:
Only one triangle can be formed for any valid group of triangle lengths. The sides are a fixed length, and when joined, will have fixed internal angles. You cannot form the triangle with different angle sizes because the lengths are fixed. The orientation of the triangle may be different (the 14 ft fence is to the side in one drawing, or the top in another) but it is still the same triangle.
Answer:
I think gloria is right cause she is right, more than one mesurment is being used.
Step-by-step explanation:
The length of a rectangle is 2 times the width of the rectangle. Let x represent the width of the rectangle.
Write an expression to represent the length of the rectangle.
Please no file just type the answer ASAP
Answer:
ok ASAP done ..... for it
The box plot below summarizes the data for the average monthly high temperatures in degrees Fahrenheit for Orlando, Florida
70
75
80
85
90
95
The third quartile is
92
90
83
71
Answer: The Answer is 90, Girl Got it right !!
Step-by-step explanation:
The perimeter of this square is 20 inches.
Amaya thinks the length of the missing side is 4 inches.
5 inches
Do you agree with Amaya? Explain your thinking using words or numbers.
HELPPP EXPLAIN IF SHES RIGHT OR OF WE AGREE HELPPP.
Answer:
Amaya is wrong.
Step-by-step explanation:
The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.
When would someone need a calculate area
Answer:
When measuring land size
Step-by-step explanation:
Answer: For a square or rectangular room, you will first need to measure the length and then the width of the room. Then multiply the length and width. Length x Width = Area. So, if your room measures 11 feet wide x 15 feet long, your total area will be 165 square feet.
Step-by-step explanation: