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2 years ago

Please help with question 3). answers please and working out!

Mathematics

1 answer:

n200080 [17]2 years ago

7 0

Answer:

AB/EF= 1/2, AC/EG= 1/2, CD/GH= 1/2, BD/FH= 1/2. The angles, being in a rectangle, will remain at 90°

Step-by-step explanation:

Since the shapes are rectangular, we already know that AB will be similar to CD and AC similar to BD.

In the first rectangle, AB is 10 units and in the second rectangle, GH is 20 units.

In the first rectangle, AC is 7 units and in the second rectangle, EG is 14 units.

This means the second rectangle is the first rectangle, but with all sides multiplied by 2.

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How can i find the midpoint of a line segment ?

eimsori [14]

Answer:

add both x coordinates and divide them by 2.

add both y coordinates and divide them by 2.

Now final product should be (x,y)

Step-by-step explanation:

Example.

let's take 2 points:

(2,5) and (7, 9)

let's add both x coordinates.

2+7 = 9

now add both y coordinates.

5+9 = 14

Now divide both by 2.

Final answer should be (4.5, 7) = this is your midpoint

8 0

3 years ago

WILL GIVE BRAINLIST

just olya [345]

Answer:

The Answer Is E, $6.75

Step-by-step explanation:

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2 years ago

Write an equation for the line, given that m= 0 and the y - intercept (0, -2)

stich3 [128]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

so...

m = 0

b = -2

^^^Plug these numbers into formula

y = 0*x - 2

y = 0 - 2

y = -2

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

Read 2 more answers

What's the scientific notation of 0.000000109

Over [174]

0.000000109 in scientific notation will look as it follows:

1.09 * 10^-7

or
<span>
1.09 E-7

It's the same as 1.09 * (-10000000)

I hope it'll give you some clue of scientific notation with decimals.</span>

5 0

3 years ago

A camera is mounted at a point 4000 feet away from a geyser. If the water is rising vertically at 900 ft/s when it is 3000 feet

Leno4ka [110]

Answer:

$\dot \theta = 0.144\,\frac{rad}{s}$ , $\dot \theta = 8.251\,\frac{deg}{s}$ (Option B)

Step-by-step explanation:

The trigonometric diagram is included herein as attachment. The expression is presented below:

$\tan \theta = \frac{y}{x}$

Where:

$x$ - Horizontal distance between the geyser and the camera.

$y$ - Vertical distance between the geyser and the camera.

The rate of change in terms of time is:

$\dot \theta \cdot \sec^{2}\theta = \frac{\dot y\cdot x-y\cdot \dot x}{x^{2}}$

$\dot \theta \cdot \left(\frac{1}{\cos^{2}\theta} \right) = \frac{\dot y \cdot x - y\cdot \dot x}{x^{2}}$

$\dot \theta = \left(\frac{\dot y \cdot x - y \cdot \dot x}{x^{2}} \right)\cdot \cos^{2}\theta$

$\dot \theta = \left(\frac{\dot y \cdot x - y\cdot \dot x}{x^{2}} \right)\cdot \left(\frac{x^{2}}{x^{2}+y^{2}} \right)$

$\dot \theta = \frac{\dot y \cdot x - y\cdot \dot x}{x^{2}+y^{2}}$

Finally,

$\dot \theta = \frac{\left(900\,\frac{ft}{s} \right)\cdot (4000\,ft)-(3000\,ft)\cdot \left(0\,\frac{ft}{s} \right)}{(4000\,ft)^{2}+(3000\,ft)^{2}}$

$\dot \theta = 0.144\,\frac{rad}{s}$

$\dot \theta = 8.251\,\frac{deg}{s}$

3 0

2 years ago