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3 years ago

Could someone please answer these questions with simple yet explanatory answers?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

12. To find the area of a triangular prism use the formulas for a prism and for a triangle. To find area of the triangle, do 1/2base*height. 1/2(8*6)=24 Now multiply by the length of the prism to find the volume. 24*3=72. 13. 150/ (7*8) = 2.68 14. 1/2x^3

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Convert: 6y + y² = x² from rectangular to polar form.

11Alexandr11 [23.1K]

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\$

$\bf 6y+y^2=x^2\implies \cfrac{6y}{x^2}+\cfrac{y^2}{x^2}=1\implies \cfrac{6rsin(\theta )}{[rcos(\theta )]^2}+\cfrac{[rsin(\theta )]^2}{[rcos(\theta )]^2}=1
\\\\\\
\cfrac{6rsin(\theta )}{r^2cos^2(\theta )}+\cfrac{r^2sin^2(\theta )}{r^2cos^2(\theta )}=1\implies 
\cfrac{6sin(\theta )}{rcos^2(\theta )}+\cfrac{sin^2(\theta )}{cos^2(\theta )}=1$

$\bf \cfrac{6sin(\theta )}{rcos^2(\theta )}=1-\cfrac{sin^2(\theta )}{cos^2(\theta )}\implies \cfrac{6sin(\theta )}{1-\frac{sin^2(\theta )}{cos^2(\theta )}}=rcos^2(\theta )
\\\\\\
\cfrac{6sin(\theta )}{cos^2(\theta )\left[ 1-\frac{sin^2(\theta )}{cos^2(\theta )} \right]}=r\implies \cfrac{6sin(\theta )}{cos^2(\theta )-sin^2(\theta )}=r
\\\\\\
\cfrac{6sin(\theta )}{cos(2\theta )}=r$

5 0

3 years ago

An item on sale costs 10% of the original price. The original price was $69 . Wats the price now

9966 [12]

Answer:

$62.10

Step-by-step explanation:

The difference is $6.90

Hope this helps.

4 0

3 years ago

Read 2 more answers

Find the value of x if B is the midpoint of AC, AB = 2x + 9 and BC = 37.

Leno4ka [110]

Answer:

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

5 0

3 years ago

Read 2 more answers

A PQR is reflected over the x-axis. What are the

Alchen [17]

The coordinates of O’ is (8,-2)

4 0

2 years ago

The endpoints of a line segment are (-2, -4) and (6, 2) What are the coordinates of the midpoint? 1. (2, 3) 2. (4,3) 3. (4, -2)

marishachu [46]

It should be 4. (2,-1)

8 0

3 years ago