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2 years ago

Angles of a triangle are in the ratio 2 : 4 : 3. Find the smallest angle of the triangle

Mathematics

2 answers:

3241004551 [841]2 years ago

7 0

Answer:

Step-by-step explanation:

sum of all the angles in a triangle=180

let the angles be 2x, 4x and 3x

so, 2x+4x+3x=180

9x=180

x=20

so smallest angle 2x= 2(20)= 40 degrees

lesya692 [45]2 years ago

3 0

Answer:

40° is the smallest angle of the triangle.

Hope it helps!

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What is 17 1/3 x 8 and how much water will each group get

stealth61 [152]

Answer:

The Answer to 17 1/3 x 8 is 138.67

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2 years ago

A number cube is rolled. What is the probability that the result is a number greater than 4?

JulijaS [17]

Answer:

1/3

Step-by-step explanation:

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2 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

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2 years ago

8(2x – 14) + 13 = 4x – 27

Juliette [100K]

8 (2x - 14) + 13 = 4x -27

distribute 8 through the parentheses

16x - 112 + 13 = 4x - 27

combine like terms

16x - 99 = 4x -27

subtract 4x from each side

12x - 99 = -27

add 99 to each side

12x = 72

divide each side by 12

x = 6

3 0

2 years ago