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andrew-mc [135]
4 years ago
9

What is the value of y?

Mathematics
2 answers:
aalyn [17]4 years ago
6 0

Answer: 6.3^(1/2).

Step-by-step explanation: Using the pythagorean theorem in the triangle MNT, we can write: 6^2 + y^2 = 12^2 ;

36 + y^2 = 144; y^2 = 144 - 36 ; y^2 = 108 ; y = (36.3)^(1/2) = 6.3^(1/2).

PolarNik [594]4 years ago
3 0

Answer:

The answer to your question is:   b = 6√3

Step-by-step explanation:

Here we have a right triangle, so we can use the Pythagorean theorem to solve it.

                    c² = a² + b²

c = 9 + 3 = 12 units

a = 6 units

b = ?

Substitution

                     12² = 6² + b²

                     b² = 144 - 36

                     b² = 108

                     b = 10.4 units    or we need to find the prime factors of 108

                  108     2

                    54     2

                    27     3

                      9     3

                      3     3

                       1                     108 = 2² 3²3

                                            b =  √ 2² 3²3

                                            b = 6√3

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James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the
Nostrana [21]

Answer:

49 inches

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

7 inches               x

-------------- = -----------------

8 inches        56 inches


Then (8 ")x = (7 ")(56 "), and

x = 392/8 inches = 49 inches.

The actual width of the helicopter is 49 inches.

6 0
4 years ago
Your EZ Pass account begins with $80. It costs you $4/day. Write an equation
vivado [14]

Answer:

The equation is A(d) = 80 - 4d

Step-by-step explanation:

Linear function:

A linear function for the amount of money in an account after t days is given by:

A(d) = A(0) - md

In which A(0) is the initial value and m is the daily cost.

Your EZ Pass account begins with $80. It costs you $4/day.

This means that A(0) = 80, m = 4

So

A(d) = A(0) - md

A(d) = 80 - 4d

7 0
3 years ago
14. 10th
Dafna11 [192]

Answer:

5

Step-by-step explanation:

1

8 0
3 years ago
Given: ΔACM, m∠C = 90º
Virty [35]

Answer:

CM=20 and CP=12

Step-by-step explanation:

The given triangle ΔACM has the measurements as follows:

m∠C=90°, CP⊥AM, AC=15, AP=9, PM=16.

To Find: CP and CM

We can use Pythagoras theorem to calculate the sides CP and CM.

Pythagoras theorem gives a relation between hypotenuse, base and height/perpendicular of a right angled triangle which is as follows:

h^{2}=p^{2}+b^{2}

where h is hypotenuse of triangle, b is base and p is perpendicular of triangle.

The figure shows that in ΔACM is a right angled triangle at C where,

AM --> hypotenuse

CM --> base

AC --> height

So substituting values into formula:

AM^{2}=AC^{2}+CM^{2}

25^{2}=15^{2}+CM^{2}

625-225=CM^{2}

400=CM^{2}

\sqrt{400} =CM

CM=20, which is required answer.

Similarly, we can see that triangle ΔCPM is also a right angled triangle at P and thus Pythagoras theorem can again be applied to calculate CP. Since CM is the side opposite to right angle P, it is the hypotenuse.

So we have,

CM^{2}=PM^{2}+CP^{2}

20^{2}=16^{2}+CP^{2}

400-256=CP^{2}

144=CP^{2}

\sqrt{144} =CP

CP=12, which is required answer.


7 0
4 years ago
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
777dan777 [17]

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

($500 x 1/2000) + ($50 x 2/2000) - $2

$0.25 + $0.05 - $2

-$1.70

4 0
3 years ago
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