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2 years ago

What is the area, in square centimeters, of a right triangle with side

Mathematics

1 answer:

Yanka [14]2 years ago

5 0

Answer:

210 cm^2

Step-by-step explanation:

Let, a=37 cm, b=35 cm, c= 12 cm

s=(a+b+c)/2 = 42 cm

Δ= $\sqrt{s(s-a)(s-b)(s-c)}$

Δ= $\sqrt{42(5)(7)(30)}$

Δ=210 cm^2

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To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 1

Leviafan [203]

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

6 0

2 years ago

A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

Elodia [21]

Answer:

7.3% percentage of the bearings produced will not be acceptable.

Step-by-step explanation:

Consider the provided information.

Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.

Let X is the normal random variable which represents the diameter of bearing.

Thus, 0.500-0.004<X<0.500+0.004

0.496<X<0.504

The bearings have normally distributed diameters with mean value .499 inches and standard deviation .002 inches.

Use the Z score formula: $\frac{X-\mu}{\sigma}$

Therefore

$\frac{0.496-0.499}{0.002}\leq z\leq \frac{0.504-0.499}{0.002}$

$\frac{-0.003}{0.002}\leq z\leq \frac{0.005}{0.002}$

$-1.5\leq z\leq 2.5$

Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.

$P(-1.5\leq z\leq 2.5)=0.9938-0.0668=0.9270$

We need to find the percentage of the bearings produced will not be acceptable.

So subtract it from 1 as shown.

1-0.9270=0.073

Hence, 7.3% percentage of the bearings produced will not be acceptable.

3 0

3 years ago

A piece of green rope is being used to make a border around the outside of a sculpture that is in the shape of an equilateral tr

damaskus [11]

Answer:

The equivalent expressions are;

9x + 9

and

9(x + 1)

Step-by-step explanation:

Mathematically, we should understand that an equilateral triangle has all of its sides equal

So if one side is 3x+ 3, the other sides too measures same

Therefore, the length of the rope represents the perimeter of the triangle

This is obtainable by adding all the side lengths together

This will be;

3x + 3 + 3x + 3 + 3x + 3 = 9x + 9

This is also same as 9(x + 1)

5 0

2 years ago

Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?

ExtremeBDS [4]

Answer:

The base salary was £21,500.

Step-by-step explanation:

Giving the following information:

Increase rate (g)= 12%

New salary= £24,080

To calculate the base salary, we need to use the following formula:

Base salary= new salary / (1 + increase rate)

Base salary= 24,080 / (1.12)

Base salary= £21,500

The base salary was £21,500.

5 0

2 years ago

Evaluate: (4/25)^1/2 in fraction

algol13

Answer:

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}$

Therefore, option C is true.

Step-by-step explanation:

Given the expression

$\left(\frac{4}{25}\right)^{\frac{1}{2}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

so the expression becomes

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

$=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

$=\frac{2}{25^{\frac{1}{2}}}$

$=\frac{2}{5}$

Hence,

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}$

Therefore, option C is true.

3 0

2 years ago

Read 2 more answers