Apply the distributive property to create an equivalent expression.<br> (3

For triangle ABC with sides a,b and c the law of cosines states

grigory [225]

Answer:

SAS

Step-by-step explanation:

Looking for the third side given the other two sides and the angle between them

c² = a² + b² - 2abcosC

6 0

2 years ago

Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees. 30° Which equation could

miv72 [106K]

X=90 degrees you can get the answer by adding up all the angles

4 0

3 years ago

The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se

makvit [3.9K]

Answer:

there is no table. Sorry!

Step-by-step explanation:

5 0

3 years ago

The hat company received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antenna, 2/5 had moose antlers, and th

levacccp [35]

Answer:

18 plastic propellers, 18 Bug Antenna, 24 moose antlers,

Step-by-step explanation:

When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.

1/3 works out to be 0.30

60×0.3 = 18

2/5 works out to be 0.40

60×0.4 = 24

To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.

60 - (18 + 24)

60 - 42

18

6 0

2 years ago

Apply the distributive property to create an equivalent expression. (3 - 8y) x (-2.5)