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3 years ago

How to solve for the shaded region

Mathematics

1 answer:

k0ka [10]3 years ago

5 0

The shaded region is a triangle. Triangle area can be determined with formula
a = 1/2 × b × h

From the question, we know that the triangle consists of
base = 10 - 6 = 4 m
and the height is the dimension which is perpendicular to the base,
height = 6 m

Find the triangle area
a = 1/2 × b × h
a = 1/2 × 4 × 6
a = 1/2 × 24
a = 12

The area of the shaded region is 12 m²

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X^2 +9x-90=0 Answers?

shutvik [7]

Answer:

x = 6 or x = -15

Step-by-step explanation:

x2+9x−90=0

Step 1: Factor left side of equation.

(x−6) (x+15)=0

x−6=0

x+15=0

x=6

x=−15

x=6

x=−15

5 0

3 years ago

How many solutions does this system of equations have? y = –2x + 2 2y + 4x = 4

Rama09 [41]

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

7 0

3 years ago

____-14=(-17) Thx so much for the help

blagie [28]

It would be -3, because you have to do -3-14 in order to get -17

6 0

4 years ago

Sam Whittington was the fastest cyclist on record (in 2009) with a speed of 37.5 m/s. Calculate the time taken in hours to cycle

vitfil [10]

Answer:

39.407 hour

Step-by-step explanation:

T = D/S

37.5 m/s in km/h

=375×18/10×5

=135 km/h

T = ABCDEFGHIOJKLMNOPQRSTUVWXYZ

4 0

2 years ago

1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

3 years ago