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3 years ago

Can someone help me 7 + 2h = 3 + 4h

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

h = 2

$7 + 2h = 3 + 4h$

You must isolate the variable to solve using the order of operations, or PEMDAS.

$4 = 2h$

Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.

$\frac{4}{2} = h$

Divide both sides of the equation by 2.

$h = 2$

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Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour. When checking the accuracy of her speedometer, a

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The percent error is 4.167 %

Solution:

Given that, Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour

When checking the accuracy of her speedometer, an Automotive Specialist recorded her speed at 50 miles per hour

The percent error is given by formula:

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

$\text{Percent error } = \frac{\text{experimental-theoretical}}{theoretical} \times 100$

From given,

Experimental value = 50

Theoretical value = 48

Substituting the values in formula, we get,

$Percent\ Error = \frac{50-48}{48} \times 100\\\\Percent\ Error = \frac{2}{48} \times 100\\\\Percent\ Error = 4.167$

Thus the percent error is 4.167 %

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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