All categories

3 years ago

Find the exact area of an equilateral triangle if the length of one side is 40

1 answer:

8 0

Equilateral triangle is a triangle with the 3 sides of the same length, and the 3 angles with the same measures/degree.
The formula to find the area of a triangle is base x height/2 , you do have the base (40), but you need the height. To find the height of an equilateral triangle you use the formula: side/2 x radical3, this way u'll find the height and therefor can calculate the area of the triangle.
Hope that helped :)

You might be interested in

What does x and y =??????

Kazeer [188]

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

6 0

3 years ago

A lemonade receipt calls for 1/4 cup of lemon juice for every cup of water. Ploy the pairs in the table

jolli1 [7]

Answer:

where is the table tho

Step-by-step explanation:

7 0

3 years ago

Pls helppppp 25 pt and brainiest for whoever answers it right.

defon

<h3><u>Given</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 66 ft

One side,a = 3x + 1

Other side,b = 2x - 3

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

7 0

3 years ago

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.8 and a standard deviation of

Iteru [2.4K]

Answer:

a) 68%; b) 99.5%

Step-by-step explanation:

The empirical rule states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.

For part a,

We are asked the approximate percentage of women whose platelet counts are within 1 standard deviation of the mean. According to the empirical rule, this is 68%.

For part b,

We are given the endpoints of the interval. The lower endpoint is 181.5; this is 250.8-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have

138.6/69.3 = 2

This is 2 standard deviations away from the mean.

The higher endpoint is 320.1; this is 320.1-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have

138.6/69.3 = 2

This is standard deviations away from the mean.

This means this interval includes about 95% of women.

4 0

3 years ago

A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving de

ddd [48]

Answer: 0.8926

Step-by-step explanation:

Given : A shipment of 50 inexpensive digital watches, including 10 that are defective.

The probability that a digital watch is defective $: p=\dfrac{10}{50}=0.2$

Sample size : n=10

Also, they reject the whole shipment if 1 or more in the sample are found defective.

Using the binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be rejected :-

$P(x\geq1)=1-P(0)\\\\=1-^{10}C_0(0.2)^0(0.8)^{10}\\\\=1-(0.8)^{10}=0.8926258176\approx0.8926$

Hence, the probability that the shipment will be rejected = 0.8926

6 0

3 years ago