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Levart [38]
3 years ago
6

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:

C

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
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