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3 years ago

The height of a building is 300 feet and its width

Mathematics

1 answer:

Hoochie [10]3 years ago

8 0

Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

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Y=-1/2(x+ 5)^2-2 Step by Step HELP

Zina [86]

$y=-\frac{1}{2}(x+5)^2-2\\
y=-\frac{1}{2}(x^2+10x+25-2)\\
y=-\frac{1}{2}(x^2+10x+23)\\
$

this is not factorable so you must apply the quadratic formula and you'll end up with

x=-5-2i
x=-5+2i

4 0

4 years ago

Read 2 more answers

I need to find out how long it takes him to hit the water

bearhunter [10]

Answer:

1.26

Step-by-step explanation:

When he hits the water, the height will be 0. Substitute h=0.

$0 = -16t^2+2t+23$

Solve using the quadratic equation.

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$

Substitute a = -16, b=2, and c=23.

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}\\\\x = \frac{-2+/-\sqrt{(-2)^2-4(-16)(23)} }{2(-16)}\\\\x = \frac{-2+/-\sqrt{4+1472} }{-32}\\\\x = \frac{-2+/-\sqrt{1476} }{-32}\\x = \frac{-2+/-38.4}{-32}\\x = \frac{-2+38.4}{-32}=\frac{36.6}{-32}=-1.14\\or\\x = \frac{-2-38.4}{-32}=\frac{-40.4}{-32}=1.26$

Since time in seconds must be positive then 1.26 is the solution.

7 0

4 years ago

Which of the ordered pairs are functions

kap26 [50]

Answer:

Step-by-step explanation:

4 0

3 years ago

The 7 in 507.3 has ten times the value of the 7 in?<br> Is it 12.007, 725, 67 or 30.76.

defon

I believe the answer would be 30.76

4 0

3 years ago

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph d

iVinArrow [24]

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40 -----1

When boat travel upstream

in that case flow of river will oppose the speed of boat hence

speed of river will be subtracted from speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30 ----2

adding 1 + 2

we have

u + v = 40

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

7 0

3 years ago