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3 years ago

What is the answer of 3x+5=2x+3?

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

3-2=1x
3-5=-2
1x=-2
x=-2

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A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams

AysviL [449]

The main lesson students and teachers should take away from this problem is the correct answer should be: who cares? The group built their frames with a ruler and a saw, got an exact slope of 10/3 and the angle measures didn't matter one bit. The best angles measures are the ones avoided.

But trig as taught is all about angles. Gotta find the angle. Here we have a right triangle and we're interested in the angle at the top of the frame, opposite side 3, adjacent side 10, so

$\tan \theta = \dfrac{3}{10}$

$\theta = \arctan \dfrac{3}{10} \approx 16.7^\circ$

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3 years ago

Read 2 more answers

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

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4 years ago

Find the value of each variable in the parallelogram.

lubasha [3.4K]

Answer:

x = 9 & y =15

Step-by-step explanation:

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3 years ago

What is the standard form of the equation of the circle x2 -4x + y2 + 6y + 12 = 0?

Rashid [163]

We take the equation
 x^2 -4x + y^2 + 6y + 12 = 0
and complete the square for x and y.
 x^2 -4x + 4 - 4 + y^2 + 6y + 9 - 9 + 12= 0
 (x-2)^2 - 4 + (y+3)^2 - 9 = -12
 (x-2)^2+ (y+3)^2 = 1
Therefore the answer is (x-2)^2+ (y+3)^2 = 1

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3 years ago

Solve for a side in right triangles can someone please answer its very urgent

marishachu [46]

A divide by sin A =b divide by sinB
3 divide by sin 20= AB divide by sin 90
AB=sin 90 times 3 divide by sin 20
=8.77 cm

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3 years ago