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3 years ago

1 Point

Mathematics

1 answer:

Triss [41]3 years ago

3 0

Answer:

D. 29 cm.

Step-by-step explanation:

The measure of the longest side cannot be equal or greater than (17 + 13) = 30 cm or it wouldn't be a triangle.

So it cannot be 30 or 31 cm long. Also as we want the longest side so it can't be 4 cm.

The answer is 29 cm.

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a traveling salesman drives his car 30000 miles a year. His car travels 16 miles to the gallon of gas. How many gallons of gas d

DENIUS [597]

Answer:

187.5 gallons

Step-by-step explanation:

Make a proportion

$\frac{16 miles}{1 gallon}$ = $\frac{3000 miles}{x}$

3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year

This gets you 187.5 gallons used in a year

4 0

3 years ago

Read 2 more answers

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

I need help. I’ve been stuck

solniwko [45]

Ok RYU? Isn’t it 110*?

3 0

2 years ago

Help me pls im being timed!

lara [203]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Graph the line with slope -1/3 passing through the point (2, 1).

bogdanovich [222]

Answer:

Step-by-step explanation:

y = mx + b

y = -x/3 + b

1 = -2/3 + b

b = 5/3

y = -x/3 + 5/3

5 0

2 years ago