Which is a unit rate?

Mathematics

1 answer:

ss7ja [257]3 years ago

6 0

Answer:

18 miles driven in a week

Step-by-step explanation:

a unit rate is x/1, x being 18 miles and 1 being 1 week

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11th grade geometry:

Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base $SB$ is 8.89 units.

<u>Formula for the Area of triangle</u>, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. <em>(Rounded to the nearest unit)</em>