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3 years ago

15

You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your t

hird side can be?

2 answers:

stepladder [879]3 years ago

4 0

The angle between the 6 inches and 8 inches length sides must be less than 180 degrees.
When the angle between the 6 inches and 8 inches length sides 180 degrees, the length of the third side will be 14 inches.
Therefore, the longest whole number length of the third side is 13 inches.

tensa zangetsu [6.8K]3 years ago

3 0

Fo sides, a,b,c
where c is the longest

c<a+b
or else you won't have a triangle

we want the longest side
this mystery side is c
other ones are a and b

c<6+8
c<14
the next largest whole number is 13

answer is 13 inches

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aivan3 [116]

Answer:

A: Angle J

Step-by-step explanation

If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D

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3 years ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

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3 years ago

Serjik [45]

Answer:

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adell [148]

Answer:

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What is 9/10 as hundredths in fraction form and decimal form?

Arte-miy333 [17]

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

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------ = ------------

10*10 100

9/10 = 90/100

The decimal form for 9/10 is .9 and for 90/100 is .90

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3 years ago