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2 years ago

What is the measure of z?

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

3 0

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

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In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi

Alexeev081 [22]

The area of a circle is <span>πr²
the outer circle area = </span><span>π 4x²
the inside circle area = </span>π.6²=36<span>π
</span>the outer circle area - <span>the inside circle area = </span><span>he shaded region
</span>π 4x² - 36π =<span>220π cm2 it implies x²-9 =55 and x²=64, and x =sqrt(64)=8
the value of x is 8</span>

7 0

3 years ago

A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.03

Scilla [17]

A . 13 cm is the correct answer

5 0

2 years ago

Can anyone help me I was self isolating when my class was taught this and I can't get in contact with my teacher

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

3x +2y = 13 -----------------(i)

x + 2y = 7 ----------------(ii)

Multiply the equation (ii) by (-1) and then add.

(i) 3x + 2y = 13

(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}

2x = 6

x = 6/2

x = 3

Plug in x = 3 in equation (i)

3*3 + 2y = 13

9 + 2y = 13

2y= 13 - 9

2y = 4

y = 4/2

y = 2

5 0

2 years ago

Read 2 more answers

What is the slope of the line between (0,8) and (2,20)

oksian1 [2.3K]

Answer:-1/6

Step-by-step explanation:

8 0

2 years ago

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Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

2 years ago