Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
[tex]\sqrt{71}[/tex]+6=perimeter
Hope that helps :)
9514 1404 393
Answer:
2x -1
Step-by-step explanation:
The perimeter is the sum of the side lengths.
P = 6 + (x -4) + (x -3)
P = 2x -1 . . . . . . collect terms
The perimeter is 2x -1.
_____
Additional comment
There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.
If your driving 60miles an hour and you drive for 1hour how far do you travel?
Answer:
60 miles
Step-by-step explanation:
1 hour=60 miles
1 hour=60 miles
What is the solution to the equation below?
14x=12
Answer:
Step-by-step explanation:
hello :
14x=12
x=12/14
x=6/7
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
Can someone help me ASAP
Find the volume of the cylinder
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface Areas and Volumes.
We know that , Volume of the cylinder = πr^2h
here, r = 5 units and h = 6 units,
hence we substitute it,
==> Volume = 3.14*(5)^2*(6)
==> Volume = 3.14*25*6
==> Volume = 471 units^3
Hence the volume of cylinder is 471 cubic units.
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
Which is larger, 9 kilograms or 8,500 grams?
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts (a) through (d) below.
Answer:
[tex]P(x = 1) = 0.3970[/tex]
[tex]P(x = 2) = 0.1307[/tex]
[tex]P(x = 3) = 0.0191[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Step-by-step explanation:
Given
[tex]n =4[/tex]
[tex]p = 0.18[/tex]
Required
(a) - (d)
x | P(x)
0 | 0.452
1 |
2 |
3 |
4 |
To solve (a) to (d), we simply apply the following binomial probability formula
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
Solving (a):
[tex]x = 1[/tex]
So, we have:
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]
[tex]P(x = 1) = 0.3970[/tex]
Solving (b):
[tex]x = 2[/tex]
So, we have:
[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]
[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]
[tex]P(x = 2) = 0.1307[/tex]
Solving (c):
[tex]x = 3[/tex]
So, we have:
[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]
[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]
[tex]P(x = 3) = 0.0191[/tex]
Solving (d)
[tex]x = 4[/tex]
So, we have:
[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]
[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Answer:
Step-by-step explanation:
HELP MATCHING EACH PROPORTION WITH ITS SOLUTION
no puedo ver el problema
Please Help!! Brainliest Answer! Thank you!
Answer:
D. 157.5
Step-by-step explanation:
Formual for sum of interior angles
(n-2)*180
so 14*180=2520
but that is the sum
divide that by 16 (2520/16) = 157.5
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
Hillside middle school chorus is giving a concert in the cafeteria
Can someone please check my answer?!
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Answer:C
Step-by-step explenation: m=134kg,h=72m,g=10m/s
PE=mgh
PE=(134kg)(10m/s^2)(72m)
PE=964800J
What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?
Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].
So to solve this, work backwards:
[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]
The distance between the initial and final point will be 17 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
This can be expressed as
H² = P² + B²
John drove his car due east for 8 miles.
He then turned south and drove 15 miles.
Then the distance between the initial and final point will be
H² = 8² + 15²
H² = 64 + 225
H² = 289
H = 17 miles
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
PLEASE HELP URGENT WILL MARK BRAINLIEST
Solve System by writing the system of Linear equations Jason reached into his pocket and pulled out 13 coins and noticed he only had quarters and dimes. If the value of the coins was $2.65 how many quarters did he have?
Answer:
he had nine quarters and four dimes
Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).
please help me this is all my grade!!!!
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?
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Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST
Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50
Step-by-step explanation:
TRANSLATIONS on the coordinate plane plz help me
here use this bud figure it it out
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96