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3 years ago

The diagram shows a prism …,

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

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-0.5 = -4/7 True False

taurus [48]

Answer:

Step-by-step explanation:

false

7 0

3 years ago

Read 2 more answers

Determine the value of x. A. 4√2 B. 2/√2 C. 2√2 D. 2

ZanzabumX [31]

Answer:

$\huge\boxed{\sf C.}$

Step-by-step explanation:

sin 45 = opposite / hypotenuse

Where opposite = x , hypotenuse = 4

sin 45 = x / 4

$\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}$

Hope this helped!

3 0

3 years ago

Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.

borishaifa [10]

We have the equation

$20y=x^2-10-15$

Let's complete the square, to do it let's add and subtract 25 on the right side

$\begin{gathered} 20y=x^2-10-15+25-25 \\ \\ 20y=(x-5)^2-15-25_{} \\ \\ 20y=(x-5)^2-40 \\ \\ \end{gathered}$

Now we can have y in function of x

$\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\ \\ \end{gathered}$

Now we can already identify the vertex because it's in the vertex form:

$y=a(x-h)+k$

Where the vertex is

$(h,k)$

As we can see, h = 5 and k = -2, then the vertex is

$(5,-2)$

Now we can continue and find the focus, the focus is

$\mleft(h,k+\frac{1}{4a}\mright)$

We have a = 1/20, therefore

$\begin{gathered} \mleft(5,-2+5\mright) \\ \\ (5,3) \end{gathered}$

The focus is

$(5,3)$

And the last one, the directrix, it's

$y=k-\frac{1}{4a}$

Then

$\begin{gathered} y=-2-5 \\ \\ y=-7 \end{gathered}$

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0

1 year ago

Name the property of equality that justifies going from 3x+6x to (3+6)x

marta [7]

The distributive property

4 0

3 years ago

What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.

uysha [10]

Answer:

$\frac{2}{3}$ .

Step-by-step explanation:

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

$\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}$

Let us use two consecutive numbers of our sequence in above formula.

$a_2$ will be 12 and $a_1$ will be 18 for our given sequence.

$\text{Common ratio of geometric sequence}=\frac{12}{18}$

Dividing our numerator and denominator by 6 we will get,

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Let us use numbers 8 and 16/3 in above formula.

$\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}$

$\text{Common ratio of geometric sequence}=\frac{16}{3*8}$

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Therefore, we get $\frac{2}{3}$ as common ratio of our given geometric sequence.

6 0

3 years ago