Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
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
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!
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).
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]
Bonus: double your money! One bank promises they can double your money if you invest
with them. If that were true, and you started with just 1 penny, how many doublings would you
need to reach your pennies to the moon?
Answer:
Y'all playing with me........right???
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
X(x-3)=0 find all solutions what does x=?
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
I need help ASAP thank uuuu
Answer:
A. 4.5
Step-by-step explanation:
You can find the center value (median) either by crossing off a box from the lower number end and one off the higher number end until you find the middle value, or by writing them out and doing the same.
2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
Since there are 20 numbers, there are two center numbers, 4 and 5. So we take the average of them, which is 4.5
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn at random, has a multiple of 4 ?
1/2
1/5
1/4
2/5
Answer:
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
Step-by-step explanation:
Given:
Total number of tickets = 20
Multiple of 4 = 4 , 8 , 12 , 16 , 20
Total number of Multiple of 4 = 5
Find:
Probability [Ticket drawn at random, has a multiple of 4]
Computation:
Probability of en event = Number of favourable outcome / Total number of outcomes
Probability [Ticket drawn at random, has a multiple of 4] = Total number of Multiple of 4 / Total number of tickets
Probability [Ticket drawn at random, has a multiple of 4] = 5 / 20
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y) and the image S'T'U'V', what are the coordinates of vertex V of the pre-image? (0, 0) (0, One-third) (0, 1) (0, 3)
Answer:
d
Step-by-step explanation:
on edge
Answer:
D
(0, 3)
Step-by-step explanation:
Find the axis of symmetry of the graph y=x^2+8x+16
Answer:
x = -4
Step-by-step explanation:
to find the axis of symmetry use this formula:
x = -b/2a
if this problem, a = 1, b = 8, c = 16
x = -8/2(1)
x = -4
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
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 probability that you draw a King in Hearts and then a Queen in Hearts out of a deck of 52 playing cards without replacing?
Answer:
p = 1/2,652
Step-by-step explanation:
p = 1/52 * 1/51
p = 1/2,652
determine whether the relation represents a function
16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}
Answer:
No, it's not a function
Step-by-step explanation:
In a function each input has one and only one output
Here an input of -3 has two outputs 2 and 1
Find the indicated area of the sector surrounded in bold . Use 3.14 for pi!
Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
write 6.58 centimeters in meters using E-notation.
Answer:
6.58 x 10 ^ -2
Step-by-step explanation:
that's 10 to the negative 2 power.
it creates a smaller number. moving decimal to left 2 places.
.0658 meters
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
Sorry
3. Ben wants to have his birthday party at the bowling alley with some
of his friends, but he can spend no more than $80. The bowling alley
charges a flat fee of $45 for a private party and $4.50 per person for
shoe rentals and unlimited bowling.
a. Write an inequality that represents the total cost of Ben's birthday
for p people given his budget. (10 pts)
charges for per person = $4.50
a flat fee of = $45
no.of people = p
So, 4.5p+ 45 ≤ 80No 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...type of lines can be found in letter T vertical and _______
Answer:
Horizontal
Step-by-step explanation:
Write a numerical expression for the verbal expression
eight times six divided by two minus nine
Answer:
Step-by-step explanation:
Ahh
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
If we have a picture that is 3 inches wide and 5 inches long. What would the dimensions be if I want the picture to be 10in. Long?
Answer:
6 inches wide, 10 inches long
Step-by-step explanation:
You have to double 3 since 5 is doubled to 10. 3 doubled is 6.
Answer:
6in wide and 10in long
Step-by-step explanation:
In order to get the picture to be 10in long you need to multiply the 5in by 2, which now means you need to also multiply the 3in by 2.
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:
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
Please help me will mark the brainliest
Answer:
The answer is A)9.89cm squared
Step-by-step explanation:
Split the shape into a triangle and a square. The square's area is 2.6 × 2.3 which equals 5.98. The triangle's area is 6-2.6=3.4, 3.4×2.3= 7.82. But since its a triangle, divide it by two. 7.82÷2=3.91. Now add both of the found areas to eachother, 3.91+5.98=9.98 cm squared. Hope that makes sense and helps!
4. Which list are the numbers in order from least to greatest
Answer:
a
Step-by-step explanation:
my brother told me....
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!