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Schach [20]
2 years ago
9

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

Mathematics
2 answers:
Anastaziya [24]2 years ago
7 0
A right triangle ABC is formed when we join three points around a lake.
Length of the side AC = 6 miles.
Length of the side BC = 2 miles.
We have to find Length of side AB.
Using Pythagorean theorem for Right triangle ABC , Right angled at B
→AB² + BC²= AC²
→ AB² + 2²= 6²
→ AB² = 36 - 4
→ AB²= 32
→ AB = √ 32
→→AB = 5.66 (approx)
Option (B) AB = 5.66 is Right choice.
vfiekz [6]2 years ago
4 0
B 5.66 is the right answer
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There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
3 years ago
There are 125 skittles in a bag. This consists of 35 red, 25 yellow, 20 purple, 15 green and 30 orange skittles. Find the percen
tino4ka555 [31]

Answer:

red=28℅,yellow =20℅, purple =16℅, green =12℅, orange=24℅

Step-by-step explanation:

total skittles =125

now,

To find the percentage of each skittles,

red =35 (<u>3</u><u>5</u><u> </u>×100) =28 ℅

125

u can find each ℅ by same method.

hope it help u.

3 0
3 years ago
Plz help, I don't understand this.
Oksanka [162]

Answer:

see explanation

Step-by-step explanation:

consecutive even integers have a difference of 2 between them

for example 2, 4, 6 are 3 consecutive even integers

In general if we let the first integer be k then the next 2 integers are

k + 2 and k + 4

the sum of these equals 4 times the first integer, that is 4k, hence

k + k + 2 + k + 4 = 4k

3k + 6 = 4k ( subtract 3k from both sides )

6 = k

the 3 consecutive integers are

k = 6

k + 2 = 6 + 2 = 8

k + 4 = 6 + 4 = 10

that is 6, 8 and 10

note that sum = 6 + 8 + 10 = 24

and 4 × 6 = 24

confirming the sum of the 3 integers equals 4 times the first integer




7 0
3 years ago
What is f(3)?<br> o 9<br> 0 -1<br> O 1<br> O 9
arlik [135]

Answer:

C.

Step-by-step explanation:

f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.

4 0
3 years ago
Can the sides of a right triangle have sides the length of 48.5ft,30ft,32.5ft
myrzilka [38]

Answer:

No

Step-by-step explanation:

8 0
3 years ago
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