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3 years ago

Your Turn: Using the figure, a

Mathematics

1 answer:

yawa3891 [41]3 years ago

4 0

The first thing you should see in this case is that the triangles are proportional.
We have then that:
((a) / (c)) = ((d) / (a))
Step 1:
Go a multiplying:
((a) / (c)) * (a) = (d)
Step 2:
Pass c multiplying:
(a) * (a) = (d) * (c)
Step 3:
Same basis, exponents are added:
a ^ (1 + 1) = (d) * (c)
Step 4:
a ^ 2 = c * d
Finally
((a) / (c)) = ((d) / (a)) -------> a ^ 2 = c * d

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A measurement template with a historcal value of 25.500 is measured 27 times and a mean value of 25.301 is recorded. What is the

QveST [7]

Complete Question

A measurement template with a historical value of 25.500 mm is measured 27 times and a mean value of 25.301 mm is recorded. What is the percent bias when the tolerance is +/- 0.3?

Answer:

The percent bias is $B = 33.167 \%$

Step-by-step explanation:

From the question we are told that

The historical value is $S = 25.00 \ mm$

The number of times it is measured is n = 7

The mean value is $\= x = \frac{\sum x_i }{n} = 25.301 \ mm$

The tolerance is $t =\pm 0.3 = 0.3 - (-0.3) = 0.6$

Generally the percent bias is mathematically represented as

$B = 100 * \frac{\= x - \tau }{ t}$

=> $B = 100 * \frac{25.301 - 25.5000 }{0.6}$

=> $B = 33.167 \%$

3 0

3 years ago

HELP!!!! I'LL MARK THE BEST ANSWER BRAINLIEST

Aleksandr-060686 [28]

Answer:

x=1

Explain:

y=2x^2−4x+1

dy/dx=4x-4

The line of symmetry will be where the curve turns (due to the nature of the

x^2 graph.

This is also when the gradient of the curve is 0.

Therefore, let

dy/dx=0

This forms an equation such that:

4x−4=0

solve for x,

x=1

and line of symmetry falls on the line

x=1

6 0

3 years ago

A spring exerts a force of 6 N when stretched 3 m beyond its natural length. How much work is required to stretch the spring 2 m

lys-0071 [83]

Answer:

4Joules

Step-by-step explanation:

According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,

F = ke where

F is the applied force

K is the elastic constant

e is the extension

If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'

can be gotten using k = f/e where

F = 6N, e = 3m

K = 6N/3m

K = 2N/m

Work done on an elastic string is calculated using 1/2ke².

If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;

1/2× 2× (2)²

= 4Joules

3 0

3 years ago

What number when multiplied by 5 is one third of the sum of 64 and 56?

Nookie1986 [14]

Answer:

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

$5(x)=\frac{1}{3}(64+56)$

Simplify this expression,

$5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\$

Use inverse operations to solve for (x),

$5x=40\\x=8$

6 0

2 years ago

A hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet ab

RoseWind [281]

We have been given that a hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet above sea level. We are asked to find change (in feet) in elevation of the hiker.

To find change in hiker's elevation we will subtract hiker's initial elevation from hiker's elevation at the end of trail.

$\text{Change in elevation}=579--150$

We are subtracting negative 150 because at the beginning of trail hiker was 150 feet below sea level.

$\text{Change in elevation}=579+150$

$\text{Change in elevation}=729$

Therefore, the change in hiker's elevation is 729 feet.

5 0

3 years ago