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2 years ago

HURRY IM ON A TIME LIMIT WILL MARK YOU BRAINLIEST

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

45°

Step-by-step explanation:

Since WXYZ is a square, all of it's sides are equal. This means that triangle XYZ is an isosceles triangle (with two sides being equal), so ∠ZXY and ∠XZY are equal. ∠XYZ is right angle because it is in the corner of the square.

180 - 90 = 90

90/2 = 45

All I did was subtract ∠XYZ from 180° (which is the sum of every angle in a triangle), then divide that by 2 (because ∠ZXY and ∠XZY are equal).

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?4x y=10 rewrite in slope intercept form

aleksandrvk [35]

Wait, do you mean that y=10 is what you want in slope intercept form? Oh btw I'm not answering this just for the points. I'll actually answer the question

6 0

2 years ago

13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two

Ghella [55]

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in

3 0

2 years ago

Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)

laiz [17]

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2) (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

4 0

3 years ago

Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 106 ft from camera 2, which was 133

Harrizon [31]

Correct Answer:
Option C. Camera 2

The greatest angle is always opposite to the side measure greater in length. So first we find the greatest side.

The distance between cameras is:

Camera 1 and Camera 2 : 106 feet
Camera 2 and Camera 3 : 133 feet
Camera 1 and Camera 3 : 151 feet

So the largest side of the triangle is the side between camera 1 and camera 3. So the camera opposite to this side will have to cover to greatest angle. The camera opposite to this side is Camera 2. This scenario is also shown in figure below.

Therefore, Camera 2 had to cover the greatest angle.

5 0

2 years ago

What is the linear function of f-10)=12 and f(16)=-1

Natali5045456 [20]

f(-10)=12, x = -10, y = 12

f(16)=-1, x = 16, y = -1.

so, we have two points, let's check with that,

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -10 &,& 12~) 
% (c,d)
&&(~ 16 &,& -1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-12}{16-(-10)}\implies \cfrac{-1-12}{16+10}
\\\\\\
\cfrac{-13}{26}\implies -\cfrac{1}{2}$

 $\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)} y-12=-\cfrac{1}{2}[x-(-10)]
\\\\\\
y-12=-\cfrac{1}{2}(x+10)\implies y-12=-\cfrac{1}{2}x-5\implies y=-\cfrac{1}{2}x+7$

3 0

3 years ago