If the legs of a right triangle are given by x2 - y2 and 2xy, then which expression equals the hypotenuse? choose all that apply. x2 y2 (x2 y2)2 (x2 - y2)2 (2xy)2
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What is the GCF of 28a^3 b and 16ab ? A)4ab B)4a3b C)28ab D)112a3b2
The manager of the neighborhood baseball team bought 150 baseballs in boxes of 6. How many boxes did he buy?
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Answer: Im pretty sure its x = 4.472135955
Step-by-step explanation:
DISCLAIMER: I may be wrong I am kind of rusty.
You got to use the Pythagorean theorem (a^2 + b^2 = c^2) to answer this.
First you label your triangle by putting the hypotenuse as "c" the other known value as "b" and the unknown value as "a".
Now you input the answers into the equation.
x^2 + 4^2 = 6^2
Now answer the known values.
x^2 + 16 = 36
Now subtract by 16 to get rid of the sixteen.
x^2 + 16 -16 = 36 -16
x^2 = 20
Now to get rid off the ^2 find the square root.
x = 4.472135955
express t in terms of a, b and y.
t-b
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Answer:
t=(a+by)/(y-1)
Step-by-step explanation:
(t-b)y =t+a
ty-by = t+a
ty-by=t+a
ty-by=a+by
t(y-1)=a+by
thus,
t=(a+by)/(y-1)
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To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).
cos (135)= - (√2)/2
sin (135) = (√2)/2
Final answer:
To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.
Explanation:
The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.
For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.
For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.
Learn more about Trigonometric functions here:
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The formula to get the circumference is 2πr, π being pi and r being your radius.
Your r is 0.9 since the radius is half the diameter.
2πr = 2 x 3.142 x 0.9
= 5.6556cm
≈ 5.7cm
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Answer:
x=9
Step-by-step explanation:
The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.
First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.