Answer:
x = 6
Step-by-step explanation:
let 'x' = BD
x/3 = 12/x
x² = 36
x = [tex]\sqrt{36}[/tex]
x = 6
Ross has 6 1/3 yards of material. He bought 2 1/6 more
yards. Then he used 6 5/6 yards. How many yards of material does he
have left?
Answer:
[tex]1\frac{2}{3}[/tex] yards
Step-by-step explanation:
Answer:
Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left
Step-by-step explanation:
(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]
7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]
Simplify
1 [tex]\frac{2}{3}[/tex]
Find the least common denominator (LCD) of
Answer:
12
Step-by-step explanation:
The length of a rectangle is 15cm more than its width and perimeter is 150cm. Find the length and width of the rectangle.
Pls help as I'm preparing for my exams
Answer:
Hope this helps you..
Brainliest plsssss
All the Best for your exams
Step-by-step explanation:
let the breadth=x
the length =x+15
given perimeter= 150
Perimeter of rectangle = 2x(l+b)
150 = 2( x+ x+15)
75 = 2x +15
60 = 2x
30=x
therefore breadth = 30 cm
length = 30 +15 = 45 cm
Verification:
150 = 2( 45+30)
150 = 2(75)
150 = 150
LHS=RHS
Hence, proved..
Answer:
Step-by-step explanation:
Let the breadth(b) be x . Then by the question
Length (L) = ( x + 15 )cm
Perimeter = 150 cm
or 2( L + b) = 150
2 ( x + 15 + x ) = 150
2x + 15 = 75
2x = 75 - 15
2x = 60
x = 30 cm
Therefore breadth or width is 30 cm
Similarly
Length = 30 + 15 = 45
hope it helps :)
EASY 15 POINTS!
what is the area?
shape below
358 in^2
94 in^2
168 in^2
242 in^2
Answer:
Area of rectangle= 24 × 7 = 168
Area of trapezium = ((a+b)/2)h = 74
Total area = 168 + 74 = 242
Answer:
242in^2
Step-by-step explanation:
Area of parallelogram is
1/2(a+b)×h
a=13in
b=24in
h=4in
= 1/2(13+24)×4
=1/2(37)×4
so the area of the parallelogram is
=74in^2
Area of rectangle is
L×B
L=24in
B=7in
=24×7
=168in^2
so the area will be the sum of the area of parallelogram and rectangle
=74in^2+ 168in^2
=242in^2
Sarah had 25 candies. Sarah gave 2/5 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?
Answer:
5 candies left for herself
Step-by-step explanation:
What is the arc measure, in degrees, of ADC on circle P below?
70°
104°
Answer:
The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"
Step-by-step explanation:
Please find the image of the question:
In the circle p:
[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]
Let P is in the center
[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]
[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]
[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]
arc AB =
When D is on arc AC:
[tex]\to[/tex]arc ADC = arc AD + arc DC
[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
A rectangular yard has a length of 12 meters and a width of 4 meters. Find its area.
Answer:
48m^2
Step-by-step explanation:
A=LxW=12x4=48
6. y=-x
Point:
Slope:
Answer:
Slope= -1
Step-by-step explanation:
The point is X
Answer:
-1
Step-by-step explanation:
because the number in front of the x is your slope
Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? Show working
Answer:
3 days
Step-by-step explanation:
375-150. You get 225. Then you do 225/75 to get 3. 3days
6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4
Answer:
Step-by-step explanation:
hello :
A CD player that regularly sells for $79.00 is on sale at a 15% discount.
Find the sale price of the CD player. Show your work.
Answer:65.15
Step-by-step explanation:
Answer:
$67.15
Step-by-step explanation:
100% - 15% = 85%
original price = 79
85% of 79 = sale price
85/100 * 79 = sale price
67.15
If the mass of the 5 coins is 25 grams, which measurement is closest to the total mass of the 2 pieces of candy?
Which graph represents the function f(x)=x2−49x+7?
Answer:
Step-by-step explanation:
You have five seasons of your favorite TV show on DVD. If you randomly select two of them from a shelf, what is the probability that you will select season one first and season two second?
How many items are in the sample space? =?
(HINT: Think 5 seasons taken 2 at a time)
What is the probability that you will select season one, and then season 2?
Answer:
5^2 =25/ 2.5x 6 =12
Step-by-step explanation:
find the area of each figure. PLEASE ANSWER 13 & 14
Answer:
13. 192 sq in
14. 243.375 sq in
Step-by-step explanation:
What is the length y? Round to the nearest tenth.
Answer:
y = 5.3Step-by-step explanation:
It is assumed XYZ is a right triangle.
y/10 = sin 32°y = 10 sin 32°y = 5.3Hi i need to identify the congruence postulation i think i need help.
What is the perimeter of a rectangle which is 122 cm by 153 cm?
Answer: 550
Step-by-step explanation:
122x2=244
153x2=306
550
La suma de dos números enteros consecutivos es
menor que 57.
Answer: La respuesta es 28 y 29. Tengo que explicar?
Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)
Answer:
186.67 ft³
Step-by-step explanation:
Volume of a pyramid
= [tex]\frac{1}{3} [/tex] × base area × height
The volume of the pyramid
[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]
[tex] = \frac{1}{3} \times 80 \times 7[/tex]
[tex] = 186.666...[/tex]
= 186.67 ft³ (rounded to the nearest hundredth)
how is 1848/2310=4/5
Answer:
Step-by-step explanation:
1848 / 2310 == 4 / 5 = True
Please help me with this question.
Answer: 36
Step-by-step explanation:
3x6x2 I think..
What I would do is draw it out in a net. Then find the area of each area of the net. After you calculate the areas, you'll get these numbers: 18, 18, 12, 12, 6, and 6. Then add them all together.
The final answer is 72 square centimeters.
What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.
Answer:
27
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
The box plot show the lengths of the songs on two digital music players in minutes .Which statement is best supported by the information in the box plots ?
Solution :
In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.
From the figure, we can see that for the music player Y, the interquartile range of the data is small.
And the interquartile range of data is more for the music player X.
So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.
Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt? Response area
Answer:
The probabillty is okay because he probably take a white shirt an blue can be his favorite color
Step-by-step explanation:
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
The actual distance between Kalamazoo and Ann Arbor is miles.
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
Answer:
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
1 hr 36 min (98.3 mi)
Step-by-step explanation:
Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?
Answer:
Jiri is 38 years old.
Step-by-step explanation:
First, 67 - 29 = 38 and 29 + 9 = 38.
Hope this helps!
What is the answer to 2x + 3y=18 5x - 3y=3? Hurry pls.
Answer: Solve for
[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]
Step-by-step explanation:
Solve for X.