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3 years ago

What is the measure of angle C?

Mathematics

2 answers:

Allisa [31]3 years ago

8 0

Answer:

60 degree

Step-by-step explanation:

When congruent sides for the whole triangle are shown we know they have equal angles also, so we call them equilateral triangle.

We try 60, 60, 60 and they all add up to 180 degree,

so we know angle C = 60 deg

Darina [25.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

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How do I show my work if these are parallel or not?

JulijaS [17]

You can determine if things are parallel if the lines will eventually meet or not. M and N are one line while P and Q are also a line. Therefore, we can say P is one line while M is also one line. The answer would be is that they are parallel, the two lines will not crash with one another. To show your work as if they are parallel, you can continue the lines down and write a note saying they won't collide or you just say they won't collide and are parallel lines.

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2 years ago

Which of the following factored forms given below represent the correct factorization of the trinomial x^2 + 10x + 16

valina [46]

It would be 2 since that would give you the trio mail if expanded

5 0

3 years ago

Read 2 more answers

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

2 years ago

Simplify your answer to the previous part and enter a differential equation in terms of the dependent variable xx satisfied by x

rusak2 [61]

Answer:

x'-5x=0, or x''-25x=0, or x'''-125x=0

Step-by-step explanation:

The function $x(t)=e^{5t}$ is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.

Using rules of differentiation, we obtain that $x'(t)=5e^{5t}=5x \text{ then }x'-5x=0$ . Differentiate again to obtain, $x''(t)=25e^{5t}=25x=5x' \text{ then }x''-25x=0=x''-5x'$ . Repeating this process, $x'''(t)=125e^{5t}=125x=25x' \text{ then }x'''-125x=0=x'''-25x'$ .

This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.

7 0

2 years ago

A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking

Leni [432]

Answer:

Step-by-step explanation:

20x2 is 40, so 50x2 is 100

6 0

2 years ago