MATHEMATICS HIGH SCHOOL

XYZ is a right angle triangle.XY = 5cm
Angle Z = 32°

Calculate angle YZ.
XYZ is a right angle triangle. XY = 5cm Angle - 1

Answers

Answer 1
Answer: We are given the measurement of XY which is 5cm. This is the opposite since it is opposite of the angle given. The angle is 32 degrees. Since this is a right triangle there is a simple relationship between sides and angle. In this case since we are to find YZ or the hypotenuse we are given the relationship sin(\alpha)=opposite/hypotenuse. Then the answer would be 9.44 cm. 

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(PLEASE ANSWER + BRAINLIEST ANSWER!!)The sector of a circle shown to the left has its center at point O. The arc XYZ has length 10.8, and the central angle XOZ has measure 1.8 radians. What is the radius length, r, of the sector?

A. √12

B. 6

C. 50/3

D. 19.44

Answers

The arc length, radius and the included angle are related as

r\theta=\widehat {XYZ} where \theta is in radians.

The radius r is given by

Correct choice is (B).
B is the answer hope this helps and please mark me as brainliest 

Solve by substitution
X+3y=1 and -3x-3y=-15

Answers

x+3y=1\n -3x-3y=-15\n add\quad the\quad equ.\n (x+3y)+(-3x-3y)=1-15\n x-3x+3y-3y=-14\n -2x=-14\n x=\frac { -14 }{ -2 } \n x=7\n Let's\quad rewrite\quad the\quad equ.\n 7+3y=1\n 3y=1-7\n 3y=-6\n y=\frac { -6 }{ 3 } \n y=-2

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is _______ cm. A. √ 3
B. 1
C. 3
D. 4

Answers

Answer:

The length of the other leg is 1 cm.

Step-by-step explanation:

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

As given

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm.

Let us assume that the unknown length be x.

Thus

2² = Perpendicular² + Base²

4^(2)= (√(3))^(2) + x^(2)

(√(3))^(2) = 3

4 = 3 + x²

x² = 4 -3

x = √(1)

x = 1 cm

Therefore the length of the other leg is 1 cm.  
The exact length of the other leg is B. 1 cm.

Whi is the domain of the function f(x)= x^3 (0,10) and the image (0,1000) ?I don't get it. Help me please.

Answers

The domain and range of f(x)=x^3 are:
x ∈ (-∞,∞)
y ∈ (-∞,∞)
so I am a little confused as to what your talking about.

Which of the following statements below is true about three-dimensional space? A. Some planes have no intercepts. B. Every plane must have three intercepts. C. Every plane must have at least two intercepts. D. Some planes have only one intercept.

Answers

So the question ask to select among the choices the correct option that tells the truth about three-dimensional space and in my analysis, the answer is letter B. Every plane must have three intercept, and those are X, Y, and Z. I hope you are satisfied with my answer and feel free to ask for more 

How to estimate 518 + 372

Answers

Answer:

900

Step-by-step explanation:

518+372

We have to find the result by estimation

Estimate both the numbers to nearest  hundreds

518 is estimated to nearest hundred= 500

372 is estimated to nearest hundred= 400

After adding, 500 and 400, we get

500+400=900

we get our answer 900

Hence, the correct answer is 900
It is 890 but if you estimate it would be 900
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