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3 years ago

Plz help me ASAP!!!! WILL MARK BRAINLIEST

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

Answer:

The area of the rhombus is 24 units²

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

We can easily calculate the length of the diagonals because they are vertical and horizontal line segments.

We use the absolute value approach.

The length of diagonal BD is |7--5|=|7+5|=|12|=12

The length of diagonal AC=|0--4|=|4|=4

Therefore the area of the rhombus is

$\frac{1}{2} \times 4 \times 12 = 24 \: {units}^{2}$

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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

4 years ago

PLEASE HELP WILL GIVE BRAINLEST

Vesna [10]

Protons is the answer that makes the most sense

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Answer:

5.6× 10^ -6

.......................

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3 years ago

Match the following trigonometric ratios with the correct equation for the triangle shown below.

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Step-by-step explanation:

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3 years ago

What is 29/4 simplyfied?

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Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

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