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Marina86 [1]
3 years ago
14

The sum of a number is 25 and 5 is 7

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
They are that because they are all equal

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In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,
aivan3 [116]

Answer:

Case 1:

AB = 30

BC = 50

Case 2:

AB = 15.9

BC = 36.7

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

AB^2 = AN^2 + BN^2

This gives:

AB^2 = 24^2 + 18^2

AB^2 = 576 + 324

AB^2 = 900

Take square roots of both sides

AB = \sqrt{900

AB = 30

To calculate BC, we consider ANC, where:

AC^2 = AN^2 + NC^2

40^2 = 24^2 + NC^2

1600 = 576 + NC^2

Collect like terms

NC^2 = 1600 - 576

NC^2 = 1024

Take square roots

NC = \sqrt{1024

NC = 32

So:

BC = NC + BN

BC = 32 + 18

BC = 50

Case 2:

Using Pythagoras theorem in ANB, we have:

AN^2 = AB^2 + BN^2

This gives:

24^2 = AB^2 + 18^2

576 = AB^2 + 324

Collect like terms

AB^2 = 576 - 324

AB^2 = 252

Take square roots of both sides

AB = \sqrt{252

AB = 15.9

To calculate BC, we consider ABC, where:

AC^2 = AB^2 + BC^2

40^2 = 252 + BC^2

1600 = 252 + BC^2

Collect like terms

BC^2 = 1600 - 252

BC^2 = 1348

Take square roots

BC = \sqrt{1348

BC = 36.7

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0
2 years ago
4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for
sladkih [1.3K]
F - 4 = number of boy cousins.
4 0
3 years ago
Help me with math please
pentagon [3]

Answer:

B. 1/6

Step-by-step explanation:

8 0
3 years ago
Eric ordered 6 tacos and 1 large pop. The large pop costs $2.00 and the total cost of his order was
pshichka [43]

Answer: 6x + $2= $21.50

Step-by-step explanation:

To make an equation first we are going to give the cost of each taco the variable x since we don't know what it is. Then we will combine 6 multiplied by x to get 6x and add it to $2 to get $21.50 so the equation will be 6x + $2= $21.50. First we subtract 2 from both sides of the equation which makes the equation become 6x= $19.50. Then we divide both sides of the equation by 6 and get x=$3.25. This means that each taco cost $3.25.

5 0
3 years ago
Help this is due today, its one question
strojnjashka [21]
2389.51 times 6% equals 143.37 so 6% of his total sales equals 143.37.  6.25 times 37.5 equals 234.37  234.37+143.37 equals 377.745 so no it isn't enough. I hope this answer helps you
7 0
3 years ago
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