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ivann1987 [24]
3 years ago
8

Can someone explain to me by steps on how to do this?

Mathematics
2 answers:
scoray [572]3 years ago
6 0

Answer:

h = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = 8 / h

h sin 45 = 8

h = 8 / sin 45

h = 8 / (1 sqrt(2)

h = 8 sqrt(2)

Ray Of Light [21]3 years ago
5 0

Answer:

right answer is option D

Step-by-step explanation:

tan 45 = BC/8. ; BC - Lower side

BC = 8

h = 8sq. + 8sq = √128 = 8√2

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Greatest common factor of the numbers 12,40 and 60 is
aniked [119]
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.

Now that we have our example and definition out of the way, let's make out the factors.

12:
1 x 12
2 x 6
3 x 4

40:
1 x 40
2 x 20
4 x 10
5 x 8

60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10

Now that we have our factors, let's look for the biggest number that they have in common.

They all share 4 as the biggest number.

Your GCF (Greatest Common Factor) is 4.

I hope this helps!

8 0
4 years ago
Combine the like terms to create an equivalent expression:<br> -3n-7+(-6n)+1
stira [4]
The answer to the question is -9n - 6
4 0
4 years ago
HELP PLEASE!!!!! Solve each system.
Ede4ka [16]

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16.\ \text{Substitution method}\\\left\{\begin{array}{ccc}y=11x+4\\y=7x-16\end{array}\right\Rightarrow11x+4=7x-16\\\\11x+4=7x-16\qquad\text{subtract 4 from both sides}\\11x=7x-20\qquad\text{subtract 7x from both sides}\\4x=-20\qquad\text{divide both sides by 4}\\\boxed{x=-5}\\\\\text{Put the value of x to the first equation}\\\\y=11(-5)+4\\y=-55+4\\\boxed{y=-51}\\\\Answer:\ x=-5,\ y=-51\to(-5,\ -51)

7 0
4 years ago
Read 2 more answers
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 48
andrezito [222]

Answer:

y=0.2x+284

Step-by-step explanation:

Let  x be the distance driven, d-distance and C our constant.

Our information can be presented as:

y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2

#Subtracting equation 2 from 1:

70=350x\\x=0.2

Hence the fixed cost per mile driven,x is $0.20

To find the constant,C we substitute x in any of the equations:

450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284

Now, substituting our values in the linear equation:

y=0.2x+284       #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284

7 0
3 years ago
What is the equation of a circle that has a center at (-4, 10) and a radius of 8?
mars1129 [50]

Answer:

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (-4, 10)

This means that x_0 = -4, y_0 = 10.

Radius of 8:

This means that r = 8. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-4))^2 + (y - 10)^2 = 8^2

(x + 4)^2 + (y - 10)^2 = 64

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

3 0
3 years ago
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