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olga nikolaevna [1]
3 years ago
12

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

n Automotive Specialist recorded her speed at 50 miles per hour. What was Miss Franklin speedometers percent of error
Mathematics
1 answer:
Ket [755]3 years ago
8 0

The percent error is 4.167 %

<em><u>Solution:</u></em>

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

<em><u>The percent error is given by formula:</u></em>

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

<em><u>Substituting the values in formula, we get,</u></em>

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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The height of a triangle is twice the length of its base. The
lions [1.4K]

Answer:

height = 14.2 m , base = 7.1 m

Step-by-step explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh

Here A = 50 , then

\frac{1}{2} × b × 2b = 50

b² = 50 ( take square root of both sides )

b = \sqrt{50} ≈ 7.1 ( to the nearest tenth )

Then base = 7.1 m and height = 2 × 7.1 = 14.2 m

6 0
3 years ago
If the parallelogram floor needs a base of 16 feet,what will the height of the floor be
nydimaria [60]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete because the area of the parallelogram is missing. However, the following will guide you in answering the question</em>

Given

Base = 16\ ft

Required

Determine the Height

Area of a Parallelogram is:

Area = Base * Height

Make Height the subject

Height = \frac{Area}{Base}

Substitute 16 for Base

Height = \frac{Area}{16}

This implies that you divide the value of area by 16 to get the height of the parallelogram.

Take for instance;

Area = 64ft\²

The height would be

Height = \frac{64}{16}

Height = 4\ ft

Or

Area = 80ft\²

The height would be

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7 0
4 years ago
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,
Alona [7]

Step-by-step explanation:

I don't know the answer to this one so could someone please tell me

Thanks

7 0
3 years ago
Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
The dot product of u with itself is 12. What is the magnitude of u?
Brilliant_brown [7]
Dot product is 
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>
5 0
4 years ago
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