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Sophie [7]
3 years ago
9

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the form

ula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h
Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

b=\dfrac{2A}{h}

Step-by-step explanation:

The formula for the area of a triangle is given by :

A=\dfrac{1}{2}bh ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

2A=bh

Now dividing both sides by h. So,

\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}

So, the correct option is (D) i.e. \dfrac{2A}{h}.

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Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
morpeh [17]

9514 1404 393

Answer:

  8 in by 16 in

Step-by-step explanation:

In your equation, we presume that x represents the width. Solving for x, we have ...

  2x² = 128 . . . . . . given equation

  x² = 64 . . . . . . . . divide by 2

  x = √64 = 8 . . . . square root

The enlargement will be 8 inches by 16 inches.

8 0
2 years ago
If you like graphing this is for you :D​
Pavel [41]

Answer:

You are trying to find the x-value when the y-value is 2. On the graph, the x-value is -3 when the y-value is 2. So, the x-value when f(x)=2 is -3.

:)

3 0
2 years ago
The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $
Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

  • As the price rises 45, the days increase by 3
  • Slope = rise/run
  • Slope = 45/3
  • Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

  • y = mx + b
  • 45 = 15(1) + b
  • 45 = 15 + b
  • 30 = b

The base price (b) is 30.

The equation is \text{\boxed{c = 15d + 30}}

6 0
2 years ago
Find the value of x.
Anni [7]

Answer:

x = 56

Step-by-step explanation:

4 0
3 years ago
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