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harkovskaia [24]
3 years ago
15

Ms. Warren had each student take 3 pencils and create a triangle with them. Roberto has 3 pencils that measure 12 cm, 5 cm, and

7 cm. How many triangles can Roberto create with his 3 pencils?
A.infinitely many
B.two
C.one
D.none
Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0

Answer:

One.

Step-by-step explanation:

The reason why is because 12-5 = 7, meaning that your lowest length has to be 7. meaning, that you can only do one triangle.

xz_007 [3.2K]3 years ago
4 0

Answer:

D. None.

Step-by-step explanation:

<em>The Triangle Inequality Theorem states the longest side must be shorter than the sum of the other 2 sides. The longest side ( 12 ) >= ( 7 plus  5 ) = 12  is too large.</em>

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-7y - 3 - 2y= -5(y + 3)
Nana76 [90]

Answer:

y=-1(1)/(5)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
sarah worked out for 15 today. she plans to add 5 min per week. write qnd equation to represent how many minutes she will be wor
garik1379 [7]

Answer:

I think its 15 + 5x

Step-by-step explanation:

4 0
3 years ago
If anyone could help out with this one i would really appreciate it <br><br> f(2)=?
algol13

Answer:

f(2) = 0

Step-by-step explanation:

Function f(t) is defined in three different ways depending on the value of t.

For t = 8, function f(t) is -64/t.

For t = 10, function f(t) is 14 - t.

We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.

f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.

f(2) = 2^2 - 3(2) + 2

f(2) = 4 - 6 + 2

f(2) = 0

6 0
3 years ago
Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
Please helppp 15 pointsss What is the y-coordinate of the solution for the system of equations?
Lina20 [59]

y = 3x - 1

x - y = -9


Subs y in second equation.


x - (3x - 1) = -9

x - 3x + 1 = -9

-2x = -9 - 1

-2x = -10

x = -10/-2

x = 5


Subs x


y = 3x - 1

y = 3.5 - 1

y = 15 - 1

y = 14


7 0
3 years ago
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