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3 years ago

Find x in the given figure. (The vertical chord is a diameter.)

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Step-by-step explanation:

Let the center of the circle be point O.

A right-angled triangle can be drawn using one side of chord X as the base and its height up to point O.

The height of the triangle will be 4 - 2 = 2, and the hypotenuse is the radius of the circle, which is 4.

By Pythagoras' Theorem, 2^2 + (X/2)^2 = 4^2.

So (X/2)^2 = 14, and X = 2√14.

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2.) What is the volume of the shape below?

lara [203]

The volume is 36 units.

3 0

3 years ago

4. What is the GCF of xy10,x4y6, x'y', and x10y10?<br>A. ху<br>B. хуб<br>С. x+y+<br>D. x+y6

insens350 [35]

Answer:

A. ху

Step-by-step explanation:

Assuming your x'y' is xy with the variables to the first power, that is the term with the smallest x- and y-exponents. It is a factor of all the other terms so is the <em>greatest common factor</em> of all the terms.

8 0

3 years ago

Identify the transformation that carries the figure onto itself.

7nadin3 [17]

The polygon is reflected across the line y = −7 and rotate 540° clockwise about (−7, 8). Then the correct option is C.

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.

The polygon is given below.

The polygon is reflected across the line y = −7 and rotate 540° clockwise about (−7, 8).

Then the correct option is C.

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

7 0

1 year ago

Help pls pls pls pls pled

quester [9]

The sum of all angles in a triangle sum up to 180.

∠1 = x+37

∠2=x+67

∠3=90° (right triangle)

∠1+∠2+∠3 = 180°

(x+37)+(x+67)+90=180

2x+104+90=180

2x+194=180

2x=-14

x=-7

An angle can't be negative, but when plugged in it works!!

∠1 = -7+37=30

∠2=-7+67=60

30+60+90=180

Hope it helps!

6 0

10 months ago

Delia, Edwin and Freya share some money in the ratio 5:7:8 Freya's share is £1600 how much did they share?

andrey2020 [161]

Answer: £ 400,560,640

Step-by-step explanation:

Given

Delia, Edwin, and Freya share £1600 in the ratio $5:7:8$

Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.

The sum of their shares must be £1600

$\Rightarrow 5x+7x+8x=1600\\\Rightarrow 20x=1600\\\\\Rightarrow x=\dfrac{1600}{20}\\\\\Rightarrow x=80$

Their share is

Delia: $5\times 80=400$

Edwin: $7\times 80=560$

Freya: $8\times 80=640$

7 0

2 years ago