Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degreesUsing this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degreesNow, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangleThat means that both legs of the triangle must be congruent (x = y)Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Find the area of this shape. (Note: the figure is NOT drawn to scale)
Answer:
The area of this shape is [tex]50cm^2[/tex].
Step-by-step explanation:
To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].
CAN SUMONE HEEEELP ME PLEASE I DONT UNDERSTAND LIKE THIS TEACHER REALLY THINK IK EVERYTHING SMH BUT ILL GIVE BRAINLY! thank youuu
Answer:
16,872
Step-by-step explanation:
If the probability that the Islanders will beat the Rangers in a game is 78%, what is
the probability that the Islanders will win at least five out of six games in a series
against the Rangers? Round your answer to the nearest thousandth.
Answer:
Submit Answer
Answer:
(17/25)^5 = 0.145393 = 14.539%
Step-by-step explanation:
78% = 78/100 or 17/25 simplified
probability of winning each game is 17/25
The probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
The probability that the Islanders will win the Rangers in a game = 78% ⇒ [tex]0.78[/tex]
The probability that the Islanders will lost the Rangers in a game is
⇒ [tex]1-0.78=0.22[/tex]
The probability that the Islanders will win at least five out of six games in a series against the Rangers is
⇒ [tex]6C_{5} (0.78)^{5}(0.22)^{1}[/tex]
⇒ [tex](6)(0.2887)(0.22)[/tex] [∵ [tex]6C_{5} =6[/tex]]
⇒ [tex]0.3811[/tex] ≈ [tex]0.4000[/tex]
Hence we can conclude that the probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.
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surface area of 30, 8,20
Answer:
hjub oubh
Step-by-step explanation:
which weights more 2.48 or 2.5
Evaluate 2^3x-1 for x = 1.
Answer:
4
Step-by-step explanation:
Answer:
this don't make any sense bro
Step-by-step explanation:
what is the number in between 2 3
Divide (x^3 - 4x^2 - 2x -5) by (x-5)
Answer:
Quotient = x² + x + 3
Reminder = 10
Step-by-step explanation:
We need to divide , x³ - 4x² - 2x - 5 by x - 5
x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3
- x³ -(+)5 x²
_______________
0 + x² - 2x - 5
x² -5x
__________________
0 +3x - 5
+3x -15
__________________
+10
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 2z - 3x =
Answer:
the answer is 2
Step-by-step explanation:
2(4)-3(2)=
8-6=2
Can any on help on 4-6 only please it would be grateful
Answer:
4. h=9in
5. 150.8[tex]m^{2}[/tex]
6. 301.6[tex]in^{2}[/tex]
Step-by-step explanation:
4.
Surface area of a rectangular prism form : A=2(wl+hl+hw)
Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]
Multiply where applicable: 558=2[(99)+11h+9h]
Combine like terms: 558=2[(99)+20h]
Divide both sides by 2: 279=(99)+20h
*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*
Subtract to isolate the h: 180=20h
Divide both sides to isolate the h: 9=h
Now we see that the missing dimension h=9in
*note- I did not bold the equations with squares so please don't be confused by that*
5.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]
Multiply were applicable: A≈94.2+56.5
Add remaining values: A≈150.8
Now we see that the total surface area is 150.8[tex]m^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*
6.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]
*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*
Multiply were applicable: A≈75.2+226.2
Add remaining values: A≈301.6
Now we see that the total surface area is 301.6[tex]in^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*
Hope this helps :)
A . Yes, the pre-image and image are both line segments and the line segment had been translated
B . No the pre-image and image are not both line segments
C . No the image shown has not been translated but another transformation has taken place
D . No the translation did not preserve the segment length
Answer:D . No the translation did not preserve the segment length
Step-by-step explanation:
in the following figure, the value of x is
Answer:
x≈11.5
Step-by-step explanation:
sin(35)=x/20
x=20*sin(35)≈11.5
Someone help and PLEASE make sure it’s right
Answer:
Acute angle, doesn't have a 90 degree angle to be a right triangle, neither a wide angle to be an obtuse triangle.
What is the answer to this question?
Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
A cylindrical cup and a cone both have a radius of 5 cm and a height of 8 cm. What is the approximate difference between the volume of the cup and the volume of the cone? A 133 cm B. 267 cm C. 419 cm D. 628 cm
Answer:
419
Step-by-step explanation:
what does Actual - Predicted =?
Answer:
Step-by-step explanation:
How does the graph of f(x) = 3|x+2|+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been stretched.
C. The parent function has been compressed.
D. The parent function has been translated up.
Answer:
If the parent function is f(x)=|x+2|+4 and it is moved to the left 2 units vertically stretched by a factor of 3 and moved up by 4 units in that order because to move a function to left c units, add c to every x to vertically stretch function by a factor of c, multiply the whole function by c to move function up c units, add c to the whole function so it is 2 to the left, vertically stretched by a factor of 3 then moved up 4 units.
The points relates to parent function are:
The parent function was translated upward. The parent function was moved to the left. The parent function has been overburdened. What is a parent function?In mathematics, a parent function is the simplest function in a family of functions that maintains the definition of the entire family.
In graphing, the parent function is the basic equation where the graph is not transformed. A straight line, for example, has a parent function of y=x. The equations from such transformations will still be part of the family of lines if this graph is translated, reflected, rotated, or dilated.
The graph depicts the function f(x) - 3|x+2|+4.
The parent function was translated upward.
The parent function was moved to the left.
The parent function has been overburdened.
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What is the answer to 1+1
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1+1=2 Now give me brainliest plz
Which temperature is warmer, -2 degrees Celsius, or -5 degrees Celsius?
-2
-5
Answer:
-2 is warmer the -5 degrees
Answer:
-2 Celsius
Step-by-step explanation:
The negative degrees in Celsius work the same way as Fahrenheit
The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5
Where does 8\10 go on a splited number line
Answer:
image
Step-by-step explanation:
on image, ignore the p, q and r...
Item 1
Which measurement is equivalent to 1 kilogram?
10,000 grams
1,000 grams
100 grams
10 grams
1/4 • (-12) help please
Answer:
-3 is the answer to this question.
Answer: Your answer is -3
Step-by-step explanation:
1/4 x -12/1
-12 is whole number so when multiplying just put it over 1 to make it a fraction.
then you get -12/4 and this is simplified to -3. Make sure you make it negative since the 12 is negative! Hope this helps! I love fractions so let me know if you need more help! :)
Graph the linear equation
y=-5
Answer:
Answer in the picture: x = 1 | y = -5
Step-by-step explanation:
Not sure if that's the answer you're looking for but I think that's it
A calculator screen displays 9.837E8. Write this number in standard form.
Answer: 983.7 x 10^6
its in the most standard form it can be in now.
The standard form of the given number is 983.7 x 10^6.
We have given that,
The screen displays 9.837E8. Write this number in standard form.
We have to write the above equation in standard form.
What is the standard form of the number?
The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
We have given 9.837^8
Therefore the standard form of the given number is 983.7 x 10^6.
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write these numbers in order of size starting with the smallest number. 5 to the power of -1, 0.5, -5, 5 to the power of 0
Answer:
5^-1, 0.5, 5^0
Step-by-step explanation:
Convert all numbers so that they have the same format.
5^-1 = 0.2
5^0 = 1
Compare:
0.2 < 0.5 < 1
This would be the order of size starting with the smallest.
Make sure you use the numbers in the problem and not the ones that were simplified.
x ≤ 12 Is x=3 a solution?
yes or no
Answer:
yes
Step-by-step explanation: :)
Answer: yes
Step-by-step explanation:
Which expression is equivalent to 2(3g - 4) - (8g + 3)
Answer:
4
Step-by-step explanation:
Hope this helps! : )
2(3g - 4) - (8g + 3)
Distributive property
6g - 8 - 8g - 3
Combine like terms
-2g - 11
Answer:
4
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
FREE PTS! If you were to go to any dream reality, where would you go?
Answer:
I would be in vampire diaries world bc why not
Answer:
I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.
Step-by-step explanation:
Another volume question and dw it’s not a test its just a assignment that just stress me out
Answer:
volume = 337.2 ft³
Step-by-step explanation:
volume = base x height = 84.3 x 4 = 337.2 ft³
Consider the sequence 20, 14, 8, 2, -4, ....
(a) Write a recursive rule to represent the sequence.
(b) Write an explicit rule to represent the sequence.
(c) Find the 30th term in the sequence.
The BEST answer gets brainliest!! Hurry now!
[tex](a)\quad a_{n+1}=a_n-6\\\\(b)\quad a_1=20,\ d=2-8=-6\implies a_n=20+(-6)(n-1)\\\\{}\qquad a_n=-6n+26\\\\(c)\quad a_{30}=-6\cdot30+26 = -154[/tex]
Find the range of the following data set: 5, 9, 2, 10, 3, 5
Answer:
8
Step-by-step explanation:
10-2 = 8
The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first, order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
(I found this explanation online)