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2 years ago

Find the value of x.PLEASE HELP ME!!!!!!

Mathematics

1 answer:

NISA [10]2 years ago

8 0

Answer:

34 degrees

Step-by-step explanation:

sin(x) = opp/hyp = 9/16

So, x = 34.22 degrees

After rounding to the nearest degree, x = 34 degrees

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Solve the equation 5/7 (x-9)=25

Stells [14]

Answer:

X=44

Step-by-step explanation:

8 0

3 years ago

The digit 5 appears twice in the number 255,120. How does the total value of the 5 on the right compare to the total value of th

maksim [4K]

Answer:

The value of the first " $5$ " in the number $255,\!120$ is ten times that of the second " $5\!$ " in this number.

Step-by-step explanation:

What gives the number " $255,\!120$ " its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first $\verb!5!$ to $\verb!6!$ would give $2\mathbf{6}5,\!120$ and increase the value of this number by $10,\!000$ . On the other hand, changing the second $\verb!5!\!$ to $\verb!6!\!$ would give $25\mathbf{6},\!120$ , which is an increase of only $1,\!000$ compared to the original number.

The order of these two digits matter because the number " $255,\!120$ " is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in $255,\!120\!$ :

$\begin{array}{|r||c|c|c|c|c|c|}\cline{1-7}\verb!Digit!& \verb!2! & \verb!5! & \verb!5! & \verb!1! & \verb!2! & \verb!0!\\\cline{1-7}\textsf{Index} & 5 & 4 & 3 & 2 & 1& 0 \\ \cline{1-7} \textsf{Weight} & 10^{5} & 10^{4} & 10^{3} & 10^{2} & 10^{1} & 10^{0}\\\cline{1-7}\end{array}$ .

(Note that the index starts at $0$ from the right-hand side.)

Using these weights, the value $255,\!120$ can be written as the sum:

$\begin{aligned}& 255,\!120\\ &= 2 \times 10^{5} + 5 \times 10^{4} + 5 \times 10^{3} + 1 \times 10^{2} + 2 \times 10^{1} + 0 \times 10^{0} \\&=200,\!000 + 50,\!000 + 5,\!000 + 100 + 20 + 0 \end{aligned}$ .

As seen in this sum, the first " $5$ " contributed $50,\!000$ to the total value, while the second " $5\!$ " contributed only $5,\!000$ .

Hence: The value of the first " $5$ " in the number $255,\!120$ is ten times that of the second " $5\!$ " in this number.

7 0

3 years ago

Read 2 more answers

26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy wei

skelet666 [1.2K]

Answer:

(D). 6.

Step-by-step explanation:

The number of parts = 1 + 10 = 11.

So 10/11 of the alloy is copper and 1/11 is aluminium.

So the answer is 1/11 * 66

= 66/11= 6 pound,s

6 0

2 years ago

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the

kozerog [31]

<h2>Answer:</h2>

one cone within the cylinder.

<h2>Step-by-step explanation:</h2>

First of all we have to start with half of a sphere (also known as a hemisphere), whose radius is r, and calculate its volume. Then we can double our answer at the end to find the volume of the complete sphere. But first to apply the Cavalieri's Principle, we start with a cone with the same radius r and suppose the height is also r, so the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi r^{3}$

Next, let's look at a cylinder and suppose this cylinder also has a radius r and height r, so the volume of this cylinder is:

$V_{cylinder}=\pi r^{3}$

Next, we place the the cone inside the cylinder and the volume that's inside the cylinder, but outside the cone is:

$V_{cylinder}-V_{cone}=\pi r^{3}-\frac{1}{3}\pi r^{3}=\frac{2}{3}\pi r^{3}$

And this is the volume of a hemisphere. Finally, if we double this value we get the volume of a complete sphere, which is:

$V_{sphere}=\frac{4}{3}\pi r^{3}$

7 1

3 years ago

Read 3 more answers

Scorpion4ik [409]

Answer:

x-intercept: (4, 0)

y-intercept: (0, 3)

Step-by-step explanation:

The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.

<h3>Intercepts</h3>

Setting x=0 and solving for y, we have ...

4y -12 = 0 ⇒ y = 12/4 = 3

Setting y=0 and solving for x, we have ...

3x -12 = 0 ⇒ x = 12/3 = 4

The intercepts are ...

x-intercept: (4, 0)

y-intercept: (0, 3)

<h3>Graph</h3>

The line will go through these intercept points.

3 0

2 years ago