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scoray [572]
3 years ago
10

A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from

the house

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0
Look at the picture.

\cos 75^\circ =\frac{x}{25} \\
25 \cos 75^\circ = x \\
25 \times 0.2588 \approx x \\
x \approx 6.47

The base of the ladder is 6.47 feet from the house.

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Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams. Three players in each team how many different
IgorC [24]

Answer:

20

Step-by-step explanation:

GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.

TO FIND: how many different ways can they be put into two teams of three players.

SOLUTION:

Total number of players =6

total teams to be formed =2

total players in one team =3

we have to number of ways of selecting 3 players for one team, rest 3 will go in other team.

Total number of ways of selecting 3 players =^6C_3

                                                                      =\frac{6!}{3!3!}

                                                                     =20

Hence total number of different ways in which they can be put into two different teams is 6

5 0
3 years ago
2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviati
Kobotan [32]

Answer: $85,000

Step-by-step explanation:

Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

\mu_M=40,000\ \ ;\sigma_M=12,000

Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.

\mu_F=45,000\ \ ;\sigma_F=18,000

If  C denote the combined earnings for a randomly selected couple.

Then, the mean of C will be :-

\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000

Hence, the mean of C = $85,000

8 0
3 years ago
A square residential lot is measured to be 100 feet on each side, with a possible
daser333 [38]
If I understood the question correctly, the answer would be 400
6 0
4 years ago
Archaeologists can determine the diets of ancient civilizations by measuring the ratio of carbon-13 to carbon-12 in bones found
harkovskaia [24]

Answer:

yessirrr

Step-by-step explanation:

4 0
3 years ago
The surface area of a cube is 27^2. Calculate the length of the sides of the cube
Anon25 [30]

Answer:

Step-by-step explanation:

Do you mean 27 units² ?

A cube has six congruent, square faces. Area of one face = (27/6) units²

Length of one edge = √(27/6)

= √(9/2)

= √9/√2

= 3/√2

= 3√2/2 units

5 0
3 years ago
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