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3 years ago

Find the value of x in the picture

Mathematics

1 answer:

Hunter-Best [27]3 years ago

6 0

Answer: $x=128\°$

Step-by-step explanation:

It is important to remember the following:

$Angle\ formed\ by\ two\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)$

In this case you can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.

Therefore, the value of "x" is this:

$x=\frac{1}{2}(202\°+54\°)\\\\x=\frac{1}{2}(256\°)\\\\x=128\°$

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Please help the test is due today !!

fiasKO [112]

Answer:

The first one is x axis

the second one is the axis

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8 0

2 years ago

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

Sergeu [11.5K]

Answer:

$r=\sqrt{10}\text{ m}$

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

$V=\pi r^2h$ , where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be $h = 0.7$ meters at $V=22\text{ m}^3$ .

Upon substituting these values in above formula, we will get:

$22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})$

$22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}$

$\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2$

$r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}$

$r^2=10\text{ m}^2$

Now, we will take positive square root of both sides as radius cannot be negative.

$\sqrt{r^2}=\sqrt{10\text{ m}^2}$

$r=\sqrt{10}\text{ m}$

Therefore, radius of tank would be approximately square root of 10 m.

5 0

3 years ago

Solve 6n - 2 - 3n = 16

Black_prince [1.1K]

9514 1404 393

Answer:

n = 6

Step-by-step explanation:

Add 2 and collect terms

3n = 18

Divide by 3

n = 6

8 0

3 years ago

Read 2 more answers

A(b)(-c), for a=7, b = -2, c= 15

-Dominant- [34]

You just have to plug in the numbers and solve
7(-2)(-15)
7(30)
210

4 0

3 years ago

Read 2 more answers

What line is parallel to 2x+5y=6 that goes through (5,3)

Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = $\frac{-2x}{5}$ + $\frac{6}{5}$ which make the gradient, m, the coefficient of x = $\frac{-2}{5}$ . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = $\frac{1}{4}$ (x - 5); y - 3 = $\frac{x}{4}$ - $\frac{5}{4}$ ; y = $\frac{x}{4}$ - $\frac{5}{4}$ +3

y = $\frac{x}{4}$ - $\frac{17}{4}$ ; y = $\frac{x-17}{4}$ ; 4y = x - 17

7 0

2 years ago