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Eva8 [605]
4 years ago
5

PLS HELP 15 POINTS! Find part “b”.

Mathematics
1 answer:
Ilya [14]4 years ago
7 0

Answer:

b=45/4

Step-by-step explanation:

This is a special triangle 30-60-90.

In big triangle hypotenuse 15, short leg x=(hypotenuse/2), x=15/2.

In smallest triangle :

1. This is also special triangle 30-60-90

2. x=15/2 hypotenuse

3. "a" is a shortest leg in the smallest triangle,

so a=(15/2)/2=15/4

a+b=15

15/4 +b=15

b=15 -15/4=15*4/4 -15/4 = 45/4

b=45/4

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What is 5x(23x2)<41 please i need the answer
pashok25 [27]

Answer:

x < 41/230

Step-by-step explanation:

5x x 46 < 41

230x < 41

4 0
3 years ago
Find the rate of change on the table
Aneli [31]

Answer:

51

Step-by-step explanation:

8 0
3 years ago
Solve the system of linear equations by substitution x+4y =37 y = -x + 16
pantera1 [17]
You plug -x+16 in for y in x+4y=37 to get x after you multiply x+4y=37 by -1.
-x-4(-x+16)=-37
-x+4x-64=-37
3x-64=-37
3x=27
x=9
Then you plug 9 into either equation to get y.
y=-x+16
y=-(9)+16
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4 0
3 years ago
A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1
kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: y(x)=ax^2+bx+c, is given by the expression: x_{vertex}=-\frac{b}{2a}

In our case, the variable "x" is in fact "t", the leading coefficient (a) is -5, and the coefficient for the linear term (b) is 20.

Therefore, the maximum of the path will be when t=-\frac{20}{2(-5)} =\frac{20}{10} =2

7 0
3 years ago
a bill to landscape your yard is $720. the material cost $375 and the labor is $34.50 per hour . Write and solve an equation to
Tom [10]

Answer: 10 hours


Explanation:

Bill = $720

Material = $375

Labour = $34.50x


375 + 34.5x = 720

34.5x = 345

x =10

6 0
4 years ago
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