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3 years ago

NEED HELP ASAP

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer: It would be approximately 2000 ft.

Step-by-step explanation:

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The legs of a right triangle are measured as 40 centimeters and 80 centimeters, with the maximum error of 0.5 and 0.8 centimeter

VladimirAG [237]

Answer:

The maximum error in the calculated value of α is 0.00876712328767 radians.

Step-by-step explanation:

Let us suppose the legs of the right triangle are x and y.

So, we have

x = 40 cm, y = 80 cm, dx = 0.5, dy = 0.8

We have to find maximum error in α for

$\alpha=\frac{y}{x}$

Now, find the differentials with respect to x and y

Partial differential of α with respect to x

$\frac{\partial \alpha}{\partial x}=\frac{\partial }{\partial x}(arctan\:\left(\frac{y}{x}\right))\\\\\frac{\partial \alpha}{\partial y}=\-\frac{y}{y^2+x^2}}$

Similarly, partial differential of α with respect to y

$\frac{\partial \alpha}{\partial y}=\frac{\partial }{\partial y}(arctan\:\left(\frac{y}{x}\right))\\\\\frac{\partial \alpha}{\partial y}=\frac{x}{y^2+x^2}$

The maximum error in calculated value of α is given by

$d\alpha=\left | \frac{\partial \alpha}{\partial x}\cdot dx \right |+\left | \frac{\partial \alpha}{\partial y}\cdot dy \right |$

Substituting the known values, we get

$d\alpha=\left | -\frac{80}{80^2+30^2}\cdot 0.5 \right |+\left | \frac{30}{80^2+30^2}\cdot 0.8 \right |$

Simplifying, we get

$d\alpha=\left | -0.00547945205479 \right |+\left |0.00328767123288 \right |\\\\d\alpha=0.00547945205479+0.00328767123288\\\\d\alpha=0.00876712328767\text{ radians}$

Therefore, the maximum error in the calculated value of α is 0.00876712328767 radians.

4 0

4 years ago

The product of two rational number 15/22. If one of the number is -5/6 then find the other the 9 one

Murljashka [212]

Answer:

Product of 2 no.=15/22

one no.=-5/6.

therefore let second no. be x

-5/6×x=15/22

x=15/22 ×-6/5.

x=-9/11

8 0

3 years ago

700%, 11,0<br> 0.07, 1<br> Which represents the numbers in order from least to greatest?

Arte-miy333 [17]

Answer:

0, 0.07, 1, 7, 11

4 0

3 years ago

I WILL MARK YOU BRAINLIEST!I REALLY NEED HELP WITH 20 PLEASE HELP ME

Finger [1]

Answer:

AP is 11.25 so the answer is F

Step-by-step explanation:

Since they are similar triangles (due to the ~ symbol)

You can write this:

AC/XZ = AP/XQ

since XZ=12

XQ=5

AC=27

you can write:

27/12=AP/5

then cross multiply:

27x5=135

135/12=11.25

AP is 11.25

6 0

3 years ago

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.

solong [7]

Answer:

step 1

Step-by-step explanation:

5 0

3 years ago

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