3x<img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-13x%2B4" id="TexFormula1" title="3x^{2} -13x+4" alt="3x^{2} -13x+4" align="a

Arc length and area

Kipish [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?

Usimov [2.4K]

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

7 0

3 years ago

In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?

netineya [11]

triangles angles always add up to 180° that being said,

41+32=73

180-73=107

angle e= 107°

hope this helps!

6 0

3 years ago

Read 2 more answers

An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a>0, the minimum value of the function will happen for $x = x_v$

C(x)=x²-180x+20,482

This means that $a = 1, b = -180, c = 20482$

How many engines must be made to minimize the unit cost?

x value of the vertex. So

$x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90$

90 engines must be made to minimize the unit cost.

3 0

3 years ago

Find the solution of this system of equations.

solmaris [256]

X=5+y

Substitute the value of x in second equation
28x – 9y= -12
28 (5+y)-9y =-12
140 +28y -9y =-12
140 +19y= -12
19y = - 152
y= -8

Now let's find the value of x using y

x= 5+y
x= 5 + (-8)
= -3

So,
x= -3
y=-8

3 0

4 years ago