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Alex_Xolod [135]
4 years ago
13

If someone could answer this problem and explain how to do it that would be a HUGE help thanks-

Mathematics
2 answers:
storchak [24]4 years ago
8 0

Answer:

A = 19 in^2

Step-by-step explanation:

We can find the area of a triangle by

A = 1/2 bh

Where b is the base

We can find the base of the triangle by

cos 25 = b/10  (adj/hyp)

10 cos25 =b

and h is the height

We can find the heigth by

sin 25 = h/10  (opp/ hyp)

10 sin25 = h

The area is

A = 1/2 ( 10 cos25) *10 sin 25

A =19.15111108

Rounding to the nearest whole number

A = 19 in^2

defon4 years ago
6 0

Answer:

Step-by-step explanation:

Use SOH-CAH-TOA

Sin(25º) = x/10 (x being the height of the triangle)

x= Sin (25º) (10)

x = 4.23

Now for the base:

Cos (25º) = x/10

x = cos(25º)(10)

x = 9.06

Now solve for the area using 1/2bh

19.2 in^2

The answer you have selected is correct :)

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4x+4y=32
Mnenie [13.5K]

The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution

<u>Solution:</u>

Given, system of equations are:

4x + 4y = 32 ---- eqn (1)

3x + 24 = 3y ----- eqn (2)

We have to determine whether the system has one solution, no solution, or infinitely many solutions.

Now let us solve the given system of equations to determine.

Now, eqn (1) can be written as,

4(x + y) = 32

x + y = 8

x = 8 – y

So, substitute "x" value in eqn (2) to get the value of "y"

3(8 – y) + 24 = 3y  

24 – 3y + 24 = 3y  

48 = 3y + 3y  

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Then, x = 8 – 8 = 0

Hence we got x = 0 and y = 8

Hence, the given system of equations has only one solution (x, y) = (0, 8)

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