Answer:
1 is 45yd²
2 is 21in²
3 is 63in²
4 is 20ft²
5 is 48yd²
Circle o centered at the origin that passes through (9,-2)
Answer:
Step-by-step explanation:
center at the origin means
x^2 + y^2 = r^2
9^2 + (-2)^2 = 81+4 = 85, so the circle is
x^2 + y^2 = 85
center at (0,-2) means
x^2 + (y+2)^2 = r^2
(-6)^2 + (0+2)^2 = 36+4 = 40
x^2 + (y+2)^2 = 40
The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = 85
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Circle o centered at the origin that passes through (9,-2).
Now, We can find the radius of circle as;
Radius of circle is distance between (0, 0) and point (9, - 2).
⇒ r = √ (- 2 - 0)² + (9 - 0)²
⇒ r = √4 + 81
⇒ r = √85
Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = (√85)²
⇒ x² + y² = 85
Learn more about the circle visit:
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in how many ways can a principal choose 3 of their 30 teachers to attend a conference
need ko po ng explanation please.....
Answer:
[tex]4,060[/tex]
Step-by-step explanation:
[tex]\binom{30}{3}=\boxed{4060}[/tex]
There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.
Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.
Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].
Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]
35 and 50 (make a chart, list all factors, and make factor tree)
Answer:
35 50
1 2
5 5
7 10
35 25
50
Factor Trees are in the images!
A game decreased by 1/5. After the reduction it was priced at £48. What was the original price of the game. Can someone show me an easy method please? :)
Answer:
60
Step-by-step explanation:
Reduced cost=(4/5)*original price
Original price=48*(5/4)=60
Write a numerical expression for the verbal expression
eight times six divided by two minus nine
Answer:
Step-by-step explanation:
Ahh
Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years
Answer:
[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]
A = 500(1 + .028/1)^ (3*1)
$543.19
Step-by-step explanation:
find the inverse of the given function h(x) = 2x-4/3
Answer:
[tex]h^-^1(x)=0.5x+1.5[/tex]
Step-by-step explanation:
Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.
[tex]h(x) = 2x - \frac{4}{3}[/tex]
Inverse operations,
[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]
Simplify,
[tex]0.5(h(x))+1.5=x[/tex]
Write in inverse function notation,
[tex]h^-^1(x)=0.5x+1.5[/tex]
The function h (2) = -16x2 + 200 gives the height, in feet, of a ball after 2 seconds since being dropped from a
cliff.
Consider h(3) and its meaning in this situation.
Answer:The ball dropped 56 feet after 3 seconds
Step-by-step explanation:
Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg
help appreciated!!!!!
Answer:
Step-by-step explanation:
the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.
So ,here a=-1 ,b=-6 and c=-9
b^2=(-6)^2
=36
4ac=4*(-1)*(-9)
=4*9
=36
b^2-4ac=36-36
=0
number of solutions =1
Hope this helps u !!
I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.
Anna is cutting several lengths of twine. The length of the first piece is 4 inches. She cuts the second piece one inch longer than 3 times the length of the first piece. If Anna continues the pattern, which sequence shows the lengths of the first four pieces?
Answer:
the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.
Step-by-step explanation:
look above, hope this helps...
brainliest...
Answer:
The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in
Help,anyone can help me do quetion
geckos sundry cheri suffering augusto
Answer;
B3 = 72°
C3 = 84°
Solution
B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°
C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°
feedback
hope it helps you. thank you.
Plz plz plz HELPPPPP 20 divided by 34
Answer:
About 0.588.
Step-by-step explanation:
20 divided by 34 is 0.58823529411.
This rounds to 0.588.
Hope this helps!
3. Find the measure of each indicated arc or the measure of an inscribed angle.
b. Find the measure of Arc BAD
Answer:
Step-by-step explanation:
Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.
A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.
Answer:
155.56 m
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√110² + 110²
Help me please ASAP
Answer:
y=-2/3x+24
Step-by-step explanation:
Move the 6x to the other side. Then divide both sides by 9.
Answer:
-2/3
Step-by-step explanation:
that is the procedure above
slope me taking the co-effecient of x afternoon making y the subject of the equation
the co-effient of x is -2/3. which is equal to the gradient or slope
Which expression is equivalent to the given expression?
(3y – 4)(2y + 7) + 1ly – 9
Answer:
16y-6
Step-by-step explanation:
(3y-4)(2y+7)+11y-9
5y+3+11y-9
16y-6
????????????????????????mark me brainliest pls! :}Answer: D. 6y^2 + 24y - 37
Step-by-step explanation:
i would but a homie is running on a flip phone hehe
jus use the distributive thing
First, determine if the example is EXLUSIVE (M.E.) or
INCLUSIVE (Inc.) and circle the correct answer.
Then, find the probability of the example.
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
ME. Incl P (5 or >3) =
A die is rolled. What is the probability of rolling a 2 or a 6?
ME. Incl P (2 or 6) =
A card is drawn from a standard deck of cards. What is the probability of drawing a 6 or a king?
M. E. Incl P (6 or K) =
A card is drawn from a standard deck of cards. What is the probability of drawing a queen or a spade?
M. E. Incl P (Q or Spade) =
Answer:
Sorry I had to go to dinner here you go hope this helps! :D
Step-by-step explanation:
So, before we start, there are two things we have to go over.
First off, we have "or"
When using or between two probabilitess, you are basically adding them together.
For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).
So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.
Now lets add these two together because of the "or":
1/2+1/6=3/6+1/6=4/6
So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.
This is inclusive, since rolling a 5 is possible and greater than 3.
Now "and" is a bit different and more complex than or is.
Here is an example:
What is the change of rolling a even number or rolling a number above 4?
Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.
To find the "and", we multiply the two probabilities.
So 1/3*1/2=1/6
So the probability of rolling a even number and a number above 4 is 1/6.
Now, lets get back to the answers.
So what is the probability of rolling a 2 or a 6?
There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.
Add it together since they use or:
1/6+1/6=2/6
So the probability of rolling a 2 or a 6 is 2/6, or 1/3.
This is exlusive since you cant roll both a 6 and a 2 at the same time.
Next we have what the probability is of drawing a 6 or a king.
There are 13 different cards in a deck.
There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.
This is:
1/13+1/13=2/13
So the probability of drawing a 6 or a king is 2/13
This is a exclusive event since a king and 6 cant be drawn at the same time.
Finally, we have:
What is the probability of drawing a queen or a spade?
Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.
13 of the 52 cards can be spades, which simplies to 1/4.
So we have 1/13+1/4=4/52+13/52=17/52
So there is a 17/52 probability of drawing a queen or spade.
This is a inclusive event since it is possible to draw both a spade and queen at the same time.
Hope this answers all your questions and helps you understand what "and" "or" are in probability.
What is the approximate area is the shaded sector in the circle shown below?
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
What is the slope of the line that contains the points (-2, 5)and (3,-5)?
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
X(x-3)=0 find all solutions what does x=?
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?
Answer:
a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.
What value of c is needed to complete the square?
X2 + 10x + c = -3+ c
Answer:
Step-by-step explanation:Let's solve for c.
x2+10x+c=−3+c
Step 1: Add -c to both sides.
x2+c+10x+−c=c−3+−c
x2+10x=−3
Step 2: Add -x^2 to both sides.
x2+10x+−x2=−3+−x2
10x=−x2−3
Step 3: Add -10x to both sides.
10x+−10x=−x2−3+−10x
0=−x2−10x−3
Step 4: Divide both sides by 0.
0
0
=
−x2−10x−3
0
c=
−x2−10x−3
0
Answer:
c=
−x2−10x−3/0
hope it helps :D
Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.
Answer:
use substitution
(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22
Answer:
22
Step-by-step explanation:
type of lines can be found in letter T vertical and _______
Answer:
Horizontal
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals
Answer:
true
Step-by-step explanation:
Answer:
True
Both slopes have to be negative reciprocals for the two lines to be perpendicular.
Hope this Helps!
No files just type it in please and thank you<3
Answer:
Option C is correct
Step-by-step explanation:
[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]
[tex]6 \times 8 = 48[/tex]
Hope it is helpful...