Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )
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Answer: ill take care of him
Step-by-step explanation:
-2x-3y=-7
y+1=x
solve for y and x
Answer:
x = 2 and y = 1
Step-by-step explanation:
First, solve for y by substituting the second equation as x into the first equation
-2x - 3y = -7
-2(y + 1) - 3y = -7
Simplify and solve for y
-2y - 2 - 3y = -7
-5y - 2 = -7
-5y = -5
y = 1
Solve for x by plugging in 1 into the second equation
y + 1 = x
1 + 1 = x
2 = x
So, the answer is x = 2 and y = 1
. A shipyard makes a container ship that can withstand the total amount of weight W, which is normally distributed with mean of 600 tons and standard deviation of 60 tons. Let us assume that the weight of a single container that will be loaded to the container ship is also normally distributed with mean of 4 tons and standard deviation of 0.4 tons. What is the maximum number of containers that the ship can load and still have at least a 90% chance to not exceed its weight limit
Answer:
the maximum number of containers that the ship can load is 170
Step-by-step explanation:
Given the data in the question;
W ~ N( 600, 60 )
S ~ N( 4n, 0.4√n )
so
p( W > S ) = 0.90
⇒ P( W - S > 0) = 0.9 ------ let this be equation 1
now, since W and S are independent
Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n
and
SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)
hence;
W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )
now, from equation one, P( W - S > 0) = 0.9
[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
from z- table
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]
[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2
now, we square both sides of equation 2
[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]
[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]
we cross multiply
16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )
16n² + 360000 - 4800n = 5916.6864 + 0.26296384n
16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0
16n² + 354083.3136 - 4800.26296384n = 0
16n² - 4800.26296384n + 354083.3136 = 0
solving the quadratic equation, we know that;
x = -b±√( b² - 4ac ) / 2a
so we substitute
x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]
x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32
x = [ 4800.26296384 ±√(381192.4516) ] / 32
x = [ 4800.26296384 ± 617.4078 ] / 32
Hence;
x = [ 4800.26296384 - 617.4078 ] / 32 or [ 4800.26296384 + 617.4078 ] / 32
x = 131 or 170
Therefore, the maximum number of containers that the ship can load is 170
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answer:
r=-11
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
1 and 3, 2 and 4, 1 and 2, 3 and 4
5 and 7, 6 and 8, 5 and 6, 7 and 8
Step-by-step explanation:
pls help :p i’m stuck
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
Find all the real zeros of the function
Answer:
B
Step-by-step explanation:
y = -9x - 1
You need a value that will make y = 0
-9x - 1 = 0 Add 1 to both sides
-9x = 1 Divide by - 9
x = 1/-9
The answer is B
B 1. Inscribe a circle in triangle ABC
Answer:
The circle should appear inside the triangle.
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
What is the area of the shaded sector?
Answer:
24 pi
Step-by-step explanation:
A= n/360(pi r^2)
A= 135/360(pi)(8^2)
A=135/360(64)(pi)
A= 24 pi
HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE
Answer:
Susie is correct because the function is y = x²
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
Someone help me please
Answer:
A
Step-by-step explanation:
The answer is A ,that's how the equation is.
Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answer:
Step-by-step explanation:
Use the table to write a linear function that relates y to x .
y=
Answer:
y= -1/4x
Step-by-step explanation:
Please help I’ll give points + brainalist
he sum of two numbers is 43 and the difference is 5. What are the numbers ?
Answer:
24,19
Step-by-step explanation:
24+19=43
24-19=5
The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x
Answer:
C. y = 1/2x
Step-by-step explanation:
We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.
Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:
[tex]y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1[/tex]
1 does equal 1, so the result is a true statement. Option C is the answer.
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number.
Answer:
-10
Step-by-step explanation:
Answer:
- 10
Step-by-step explanation:
- √100
= - 10
( - 10 is a real number )
Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y
HELP JIMTHOMPSON5910
13. To ride a roller coaster, you must be 48 inches tall. There are 30.48 centimeters in 1 foot. Approximately how many centimeters is 48 inches? Round to the nearest whole centimeter.
14. A water cooler contains 240 cups of water. One gallon is equal to approximately 3.8 liters. About how many liters of water are in the water cooler? Round to the nearest whole liter.
15. A billboard is 6 meters long. One centimeter is approximately 0.39 inch. About how long is the billboard in inches? Round to the nearest whole inch.
Answer:
13- pretty sure its 122
14- 58
15- i think its 236?
Problem 13
Answer: 122 cm------------------
Explanation:
It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.
To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm
==========================================================
Problem 14
Answer: Approximately 57 liters------------------
Explanation:
1 gallon = 16 cups
Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with
15*(1 gallon) = 15*(16 cups)
15 gallons = 240 cups
The water cooler is 15 gallons.
Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters
This answer is approximate since the 3.8 was approximate.
==========================================================
Problem 15
Answer: Approximately 234 inches------------------
Explanation:
1 meter = 100 cm
6 meters = 600 cm (multiply both sides by 6)
1 cm = 0.39 inches
600*(1 cm) = 600*(0.39 inches)
600 cm = 234 inches
This answer is approximate because the 0.39 was approximate.
Rewrite as an exponential equation.
In7 = y
help i'll give brainlyest
what do you need help with T~T
wrong its c or 15.00$
Answer:
oopssss
Step-by-step explanation:
B) Find the value of a^2 + b^2 when a = 3 and b= -2
Answer:
13
Step-by-step explanation:
a = 3
b = -2
a² + b² = 3² + (-2)²
= 9 + 4
= 13
Answer:
a) 11
b) 13
Step-by-step explanation:
a) 1 + 2(5) = 11
b) 3² + (-2)² = 9 + 4 = 13