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2 years ago

Geometry Question- Triangles

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

5 0

The answer is D) 1/4

We draw the triangle and we notice triangle ABC is similar to DBE so all the sides will be in proportion.

Since AC is 4 times longer than DE, all the sides of triangle ABC will be 4 times longer.

Then if the perimeter of ABC was lets say 8, DBE would have a perimeter of 2.

D is the answer :)

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What is the solution of the system. Use the substution method. 3x+2y=11, x-2=-4y

liq [111]

Answer:

$x=\frac{10}{3}$ and $y=\frac{1}{2}$

Step-by-step explanation:

To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒ $x=\frac{11}{3}+\frac{2}{3} \times{y}$ .
Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow

$x-2=4y$ ⇒ $(\frac{11}{3}+\frac{2}{3}\times{y})-2=4\times{y}$
Then rearranging terms $\frac{11}{3}-2=4\times{y}-\frac{2}{3}\times{y}$
This expression results in $y=\frac{1}{2}$
Finally, using the firs equation, in which we obtained an expression from x, $x=\frac{11}{3}-\frac{2}{3} \times{y}$ , we replace y=1/2 and get $x=\frac{11}{3}- \frac{2}{3}\times{\frac{1}{2} }$ , then $x=\frac{10}{3}$

3 0

2 years ago

What is the area of the shape?

Travka [436]

Answer:

6 units

Hope this helps!

8 0

2 years ago

Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find t

jeyben [28]

Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

$2\pi \times r( \frac{x}{360} )$

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

$2\pi \times 5( \frac{60}{360} )$

Multiply 2 pi times 5=10 pi

$10\pi( \frac{60}{360} )$

Simplify 60/360 to 1/6

$10\pi \times \frac{1}{6} = \frac{10\pi}{6}$

Reduce it to

$\frac{5\pi}{3}$

7 0

2 years ago

Helpp me please im confused

galben [10]

Answer:

Step-by-step explanation:

3 0

2 years ago

A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relatio

olasank [31]

This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
h=-7.3t^2+8.25t+2.1+5
The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
t=[-8.25+/-sqrt[8.25^2+4*7.3*7.1]/(-2*7.3)
t= -0.572
or
t=1.702
since there is not negative time we take the time taken for the ball to hit the ground will be: t=1.702 sec

7 0

2 years ago