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miss Akunina [59]
3 years ago
5

If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott

om of the building?

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

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Lesechka [4]

Answer:

43. I'm not really sure about this one but here's what I got:

The average height of a 4th grader is 58 inches. (Maybe that'll help) Also if it's by the number of kids in the class....I would assume that there are at most 33 kids in the class....I'm not sure what it's asking...sorry :(

46. There are 8 total marbles so if you were selecting a green marble the probability of getting a green marble would be 3/8. If there are 2 blue marbles  then the probability would be 2/8 or 1/4

LINK: https://mathbitsnotebook.com/Geometry/Probability/PBIndependentDependent.html

48. In a deck of cards there are 26 black cards and 26 red cards. Number of event occurrences. Total number of trials. For example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165. That should help with this one

LINK:

https://explorable.com/experimental-probability

49. Since there are 6 sides and each side is a number 1-6, the probability of rolling a six is 1:6

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4 0
3 years ago
Determine the smallest integer value of x in 5x + 3 ≥ 10
Ivanshal [37]

5x + 3 ≥ 10

3 is adding on the left, then it will subtract on the right

5x ≥ 10 -3

5x ≥ 7

5 is multiplying on the left, then it will divide on the right

x ≥ 7/5

x ≥ 1.4

Then, the smallest integer value of x is 2

6 0
1 year ago
Jacky spent 53% of all her money to buy a computer game. How much did the game cost, if Jacky had $120 before buying the game?
Keith_Richards [23]
The game cost 63.6$, because 53% of 120 is 63.6
5 0
3 years ago
Read 2 more answers
the area of a parallelogram shape land is on the square and length of its two adjacent sides are 25 m and 17 M find its diagonal
Alex787 [66]

Step-by-step explanation:

Draw diagonal AC

The triangle ABC has sides 17 and 25

Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

h = 17 sin B

Area = 25*17 sin B = 408

sin B = 24/25

In ∆ ABC

Cos B = +- 7/25

= 625 + 289 — b^2 / 2*25*17

b^2 = 914 — 14*17 = 676

b = 26

h = 17*24/25 = 408/25 = 16.32

Draw the second diagonal BD

In ∆ BCD, draw altitude from D, say DE =h

BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2

BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

BD = √ 1152 = 33.94 m

6 0
3 years ago
There is a point on a coordinate plane at (5,0). There is another point at (-3,0). what is the distance between these two points
zloy xaker [14]

Answer:

The distance between the points is 8.

3 0
3 years ago
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