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2 years ago

Find the area of an eqilateral triangle with the side of 6 inches

Mathematics

1 answer:

Elenna [48]2 years ago

7 0

Answer:

The area of an equilateral triangle with the side of 6 inches = 15.59 inches²

Step-by-step explanation:

Formula:-

Area of equilateral triangle = √3a²/4

Where 'a' is the side of equilateral triangle.

<u>To find the area of given triangle</u>

Here side a = 6 inches

Area = √3a²/4

= (√3 * 6²)/4

= (1.73 * 36)/4 = 1.73 * 9 = 15.59 inches²

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The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc

Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = $\frac{(\theta)}{360}\times \pi\times r^2$

Plugging the values in the equation.

⇒ $\frac{(\theta)}{360}\times \pi\times r^2$

⇒ $(\frac{20}{360})\times 3.14\times 13^2$

⇒ $29.48$ square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0

3 years ago

Find the discriminant of the equation. x2 + 3x - 4 = 0

ivann1987 [24]

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

5 0

2 years ago

Read 2 more answers

(-2,3) and (-2,1) what is the answer

Angelina_Jolie [31]

There is not enough info to answer this question.

8 0

2 years ago

Read 2 more answers

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

2 years ago

I need somebody help on this test i am Taking

amid [387]

Answer:

ok and thank you for point

3 0

2 years ago