The side lengths of a 45-45-90 triangle can be found using side ratios or the formula that the length of hypotenuse is root two times the length of each leg which is equal.
A 45-45-90 triangle is a special type of right triangle that has two angles that measure 45 degrees and one angle that measures 90 degrees. This triangle has a unique relationship between its side lengths.
The length of the hypotenuse (the side opposite the 90-degree angle) is equal to √2 times the length of one of the legs (the two sides that are congruent and form the 45-degree angles).
The length of each leg is equal to the length of the hypotenuse divided by √2.
For example, if the hypotenuse of a 45-45-90 triangle measures 8 units, then one leg measures 8/√2 = 8/1.4142 = 5.6568 units, and the other leg measures also 8/√2 = 8/1.4142 = 5.6568 units.
Another way to find the side lengths of a 45-45-90 triangle is to use the side ratios. The ratio of the sides in a 45-45-90 triangle is 1:1:√2, so if you know the length of one side, you can find the length of the other sides using these ratios.
It's important to keep in mind that a 45-45-90 triangle is a special type of triangle and its side lengths can be found using the formulas and ratios mentioned above. Regular triangles, such as a 30-60-90 triangle, have also similar relationships between their sides.
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Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________
Answer:
ocean eyes i looked this up
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FASTEST ANSWER
Simplify. √2x (7 + √2x)
Answer:
Your answer : x1= 0
x2=-4.95
Mark my answer as brainlist.
I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!
I will do the first example, by explaining how to graph it. Then you can do the second example.
[tex]f(x) = x^3-10x^2+28x-24[/tex]
We start by determining the the x-intercepts, by letting y = 0:
[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]
The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:
[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]
So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :
[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]
Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :
[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]
x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:
[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]
Minimum: (14/3, -256/27)
Graph is in the attachment below -
geometry multiple choice question HELPPP!!!??
Answer:
24/30
Step-by-step explanation:
please can someone help me with this
Answer:
Too blurry to read
Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
Now,
a) 66+9t9+48 (base twelve)
[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]
= 72+6+1296+120+9+48+8
= 1559 (base twelve)
b) 5117-324 (base eight)
[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]
= 3272 + 64 + 8 + 7 - (192 + 16 + 4)
= 3139 (base eight)
c) 242 x 14 (base five)
[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]
= (50 + 20 + 2) x (5 + 4)
= 72 x 9 =648 (base ten) = 10130(base five)
d) 101010111 (base two)
[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]
=128+32+8+2=170 (base ten)
Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
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y-13<6
Help please urgently!!
Step-by-step explanation:
y-13<6
y<6+13
y<19
hope it helps.
Answer:
y<19
Step-by-step explanation:
Add 13 to both sides.
y<6+13
Simplify 6+13 to 19.
y<19
Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9
Answer:
Step-by-step explanation:
-7y = -4x + 9
7y = 4x - 9
y = 4/7x - 9/7
perp. -7/4
y - 3 = -7/4(x - 4)
y - 3 = -7/4x + 7
y = -7/4x + 10
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
Will give brainliest to correct! “Write the equation of the line.”
Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept
An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.
Answer:
27.8 degrees
Step-by-step explanation:
What is The midpoint of AB?
Answer:
(-2,0)
Step-by-step explanation:
(-2,0) is the midpoint I believe!
Hope that helps!
the mid point of AB is 1 and -1
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
20
Step-by-step explanation:
When you simply the improper fractions, you will get this
[tex]9 + 11 = 20[/tex]
Which is 20
Hope this helped
Answer: 20 or 20 1/2
Step-by-step explanation:
I don’t know really but the real answer is 20 1/18
11. Select from below the best estimate for the decimal that is equivalent to 100.5%
A. 0
B. 1
C. 100
D. 1000
Answer:
c
Step-by-step explanation:
in all honesty because if you round thats what you would get
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m
Answer: the answer is going to be 64m hope this helped :)
Step-by-step explanation:
Please help me with my homework problem
Answer:
y-axis
Step-by-step explanation:
points are (x,y)
since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.
reflection just means it rotates 180 degrees (out of the paper, not around)
A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
Answer:
75%
Step-by-step explanation:
Find the ratio 1500 to 2000; it is 0.75.
75% of the population is Spanish speaking.
Answer:
75%
Step-by-step explanation:
1500 ÷ 200 = 0.75
The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.
Answer:
the total cost is $1,495,000
Step-by-step explanation:
The computation of the total cost is shown below:
Let us assume the months be m
Now the equation would be
= Equipment + software + wages
= $840,000 + $15,000 + 40,000m
= $840,000 + $15,000 + $40,000 (16)
= $840,000 + $15,000 + $640,000
= $1,495,000
Hence, the total cost is $1,495,000
5x+4y=58
3x+8y=46
Do with substitution method
I will give the brain thing
Work would be awesome but not required
Answer:
they are both correct and also what is the question
Step-by-step explanation:
-1 ,3 rotated 90 degrees
Answer:
If rotated clockwise, then (3, -1)
If rotated counterclockwise, then (-3,1)
Step-by-step explanation:
Hope that helps!
IVIIxed N
Douglas was planting grape vines. He completed 2-
rows of
grapes
each hour he worked. After completing 140 rows of grapes, how many
hours had he worked?
0000
48 hours
50 hours
52 hours
60 hours
Answer: He completes 2 4/5 rows per hour
if he completed 140 rows, how many hours did it take?
We should divide the work completed by the amount of work done per hour.
So, 140/(2 4/5) =
2 4/5 is equivalent to 2.8
so 140/2.8 = 50 hours
Step-by-step explanation:
estimate a percentage of a histogram
Answer:30 percent something like that
Step-by-step explanation:
10) Ms. Ruiz bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. Ruiz bought? Please show your work.
Answer:
2.85kg
Step-by-step explanation:
3/5kg = 0.6kg
2 1/4 kg = 2.25 kg
0.6kg + 2.25kg = 2.85kg
Alfred has strawberries and tomatoes in his garden. He picked 314kg of strawberries in the morning. In the afternoon he picked 125kg more strawberries than he picked in the morning. How many kg of strawberries did he pick in the afternoon?
Answer:
439kg of strawberries in the afternoon
Step-by-step explanation:
This is simply 314+125
Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (Please hurry and show your answer )
Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.
New York has an elevation that us above dea level select all the answer choice's that could represent the elevation of New York City
Answer:
New York has elevation of 1,000 feet
Step-by-step explanation:
NewYork has elevation of almost 300 meters above sea level. This is lower elevation and the most lowest state is BigApple. NewYork is famous state of United States and the city is really busy. It has sea coasts which adds beauty to the city.
Show work. Will mark branliest
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
This meal costs $33.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?
Answer:
7% of $33.00 is $2.31
total $35.31
18% of $35.31 is $6.35
The total with tax and tip is $41.66
Brainly plz :))
The total cost of the meal after tax and tip will be $41.67.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.
The cost after tax is given as,
⇒ $33 x 1.07
⇒ $35.31
The cost after the tip is given as,
⇒ $35.31 x 1.18
⇒ $41.67
The total cost of the meal after tax and tip will be $41.67.
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Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive
Answer:
The answer is proportional
Step-by-step explanation:
I took the test and got 5/5
The given relationship is a proportional relation.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.
Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played
Establishing the equation, we get,
y = 1.50x
Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.
When x = 2,
y = 1.50X2
y = 3
(2, 3)
When x = 4
y = 1.5X4
y = 6
(4, 6)
When x = 6
y = 1.5X6
y = 9
(6, 9)
Here we see that the value of y is varying from the value of x by 1.5 times.
Hence, The relation is a proportional relation.
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