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morpeh [17]
3 years ago
14

On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° . What statement is

true about the triangle?
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
8 0
The right triangle DEF has two equal sides which are DE and DF with length 4 inches. The side EF which is opposite to the angle m∠D=90° has the longest length with measurement equal to 5.66 inches. The longest side is also called as the hypotenuse.
sergejj [24]3 years ago
8 0
Here, One of the angle in Right-triangle is 45, so other would also equal to 45 degrees, in that case, two sides would also be equal & Triangle is known as "Isosceles right triangle"

So, Draw the 90 degree angle, & two perpendicular line of 4 in. then, join their edges and your triangle will be ready

Hope this helps!
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Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
Can someone please help me on this question
Grace [21]

Answer: ? = 72

Step-by-step explanation:

   We will set up a proportion to solve.

\displaystyle \frac{?}{56} =\frac{45}{35}

   Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

3 0
2 years ago
Rewrite the expressions in each pair so that they have the same base. c) (1 /2)^2x and (1/ 4)^x - 1
just olya [345]
I'm not completely sure but this is what I would do.
evaluate <span>(1/ 4)^x - 1 </span>as is. But change the (1 /2)^2x to (2/4)^2x. This way both fractions have the same denominator and in this sense, the same base. The 2/4 base still evaluates into 1/2 so nothing, mathematically, is being broken here.
7 0
3 years ago
Which one of these dishes would make the food dish the warmest when placed on top of it?
vivado [14]
The answer would most likely be C
8 0
3 years ago
What is the value of x? ​
stich3 [128]

Answer:I think the answer is x=25 sorry if im wrong ツ.

Step-by-step explanation:

Hope this helps you out ツ

8 0
3 years ago
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