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3 years ago

Mathematics, Due Today.

Mathematics

1 answer:

vovikov84 [41]3 years ago

5 0

The first one is true

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Perimeter of a mirror is 260. The length is x cm. Find the height of the mirror in terms of x

Elenna [48]

$\bf \textit{perimeter of a rectangle}\\\\ P=2(L+h)~~ \begin{cases} L=length\\ h=height\\[-0.5em] \hrulefill\\ P=260\\ L=x \end{cases}\implies 260=2(x+h) \\\\\\ \cfrac{260}{2}=x+h\implies 130=x+h\implies 130-x=h$

4 0

3 years ago

Decide whether the equations is a trigonometric function identity, EXPLAIN.

hodyreva [135]

(1) Answer: Identity true

$\cos^2x(1+\tan^2x)=\cos^2x(1+\frac{sin^2x}{cos^2x})=\\= \cos^2x\frac{cos^2x+sin^2x}{cos^2x}=1$

(2) Answer: Identity true

$\sec x \tan x(1-\sin^2x)=\sin x\\\frac{1}{\cos x}\frac{\sin x}{\cos x}(\cos^2x)=\sin x\\\sin x = \sin x$

(3) Answer: Identity true

$\sin^2(\theta)\csc^2(\theta)=\sin^2(\theta)+\cos^2(\theta)\\\sin^2(\theta)\frac{1}{\sin^2(\theta)}=\sin^2(\theta)+\cos^2(\theta)\\1 = 1$

7 0

2 years ago

Using the double number line shown, for the equation 5x+4=14, what is the value of x?

Alex777 [14]

Correct option is:

B. 2

<h2>Explanation:</h2>

From the double number line shown we can set:

$(1) \ 0x=0 \\ \\ (2) \ x=? \\ \\ (3) \ 5x=10 \\ \\ (4) \ 5x+4=14$

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

$5x=10 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ x=\frac{10}{5} \\ \\ \boxed{x=2}$

<h2>Learn more:</h2>

Solving equations: brainly.com/question/7747308

#LearnWithBrainly

3 0

3 years ago

Solve for w.<br> 2(4w-9)=14<br> Simplify your answer as much as possible.

hammer [34]

There you goo, hope it helped you:)

3 0

3 years ago

Starting at home Omar traveled a pill to the gift store for 30 minutes such as 10 mph event travels back home along the same pat

Dmitry [639]

We know Distance formula is Distance = speed * time

$time = \frac{distance}{speed}$

Let, the distance Omar traveled = d and speed is 10 miles per hour

Time taken t for the first trip $t = \frac{d}{10}$

Let, the distance Omar traveled = d and speed is 30 miles per hour

Time taken t for the return trip $t = \frac{d}{30}$

Total time taken = $\frac{d}{10} + \frac{d}{30} = \frac{3d+d}{30} = \frac{4d}{30}$

Now, $Average \ speed = \frac{total \ distance}{total \ time \ taken}$

Total distance = d+d= 2d

Average speed = $\frac{2d}{\frac{4d}{30}}$ = $2d * \frac{30}{4d} = 15$

His average speed for the entire trip from home to the gift store and back is

15 miles per hour

7 0

2 years ago