Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,
Let us take square root of both sides of our equation.
Therefore, the length of diagonal of our given square is 42 cm.
Answer:
c is greater than or equal to -1.
Step-by-step explanation:
Subtract 3 from both sides, divide by 5.
I have attached the work to your problem below.
I hope this helps.
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
Solving for h:
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Answer:
1/8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as
P(X = r) = nCr × q^(n - r) × p^r
Where
p = probability of success
q = probability of failure
n = number of sample
From the information given,
p = 56.5% = 56.5/190 = 0.565
q = 1 - p = 1 - 0.565 = 0.435
n = 3
We want to determine P(x greater than or equal to 1). This is also expressed as
1 - P(x lesser than or equal to 1)
P(x lesser than or equal to 1) = P(x = 0) + P(x =1)
P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082
P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32
P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402
