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3 years ago

6

An equilateral triangle has three 60 degree angles and three sides of equal lengths. One equilateral triangle has sides measures

15 centimeters. A second equilateral triangle has sides measuring 25 units. Are the triangles similar?

1 answer:

olga nikolaevna [1]3 years ago

7 0

No it is not possible for them to be similar

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sesenic [268]

Answer:

$36\sqrt{3}$

Step-by-step explanation:

Hi!

Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.

To find the height of an equilateral triangle we use $\frac{a\sqrt{3}}{2}$ .

$\frac{12\sqrt{3} }{2} = 6\sqrt{3}$ .

So the height is $6\sqrt{3}$ .

Now we have to solve 12 * $6\sqrt{3}$ ÷ 2.

$12 \cdot 6\sqrt{3} = 72\sqrt{3}$

$72\sqrt{3}\: \div\: 2 = 36\sqrt{3}$ .

Thus, the area of the triangle is $\boxed{36\sqrt{3}}$ .

Hope this helps!

4 0

3 years ago

A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor

Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of <em>z</em> for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

3 0

3 years ago

T=4st/s-t what is the value of s when t = 5 and T = 40?

Tcecarenko [31]

Why does ever outcome equal 15 I suspect this is a trick question should you get a answer for this let me know btw that's awesome that no matter what it's always 15 even through infinity

3 0

3 years ago

Read 2 more answers

Celia measures her heart rate at 124 beats per minute. This is 62 beats more than her reasting rate r. Write an equation to find

Luda [366]

124-62=62 so the answer will be 62

7 0

3 years ago

Each edge of a cube is f feet long. if v is the volume of the cube , write an equation relating f and v.

nevsk [136]

We know, volume of a Cube = Edge³

In short, Your Equation would be: v = f³

Hope this helps!

5 0

3 years ago