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dimulka [17.4K]
2 years ago
13

Which statement is true?

Mathematics
2 answers:
defon2 years ago
6 0

Answer:

It is  A.

Step-by-step explanation:

Complementary angles sum to 90 degrees.

If both angles are 45 degrees they are both equal and complementary.

Cerrena [4.2K]2 years ago
3 0

Answer:

ninguna jaja

Step-by-step exp ponte a esudiar mejor

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Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is cont
Neko [114]

Answer:

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

Step-by-step explanation:

The correct statement is described below:

Find the absolute maximum and minimum values of the function below:

f(x) = x^{3}-9\cdot x^{2}+ 3, 2 \leq x \leq 12

Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.

First, we obtain the first derivative of the function and equalize it to zero:

f'(x) = 3\cdot x^{2}-18\cdot x

3\cdot x^{2}-18\cdot x = 0

3\cdot x \cdot (x-6) = 0 (Eq. 1)

As we can see, only a solution is a valid critical value. That is: x = 6

Second, we determine the second derivative formula and evaluate it at the only critical point:

f''(x) = 6\cdot x -18 (Eq. 2)

x = 6

f''(6) = 6\cdot (6)-18

f''(6) =18 (Absolute minimum)

Third, we evaluate the function at each extreme of the given interval and the critical point as well:

x = 2

f(2) = 2^{3}-9\cdot (2)^{2}+3

f(2) = -25

x = 6

f(6) = 6^{3}-9\cdot (6)^{2}+3

f(6) = -105

x = 12

f(12) = 12^{3}-9\cdot (12)^{2}+3

f(12) = 435

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

6 0
3 years ago
Quadrilateral ABCD is inscribed in the circle. If m∠A = 95°, what also must be true?
Shalnov [3]
When a quadrilateral is inscribed in a circle, the sum of opposite angles is 180 degrees.  

A+C=180
95+C=180
C=180-95
C=85

Therefore the answer is B). I hope this helped. 
3 0
3 years ago
Read 2 more answers
Is a cub a polygon ?why or why not
Vladimir79 [104]
A cube<span> is </span>not<span> a </span>polygon<span>. </span>Polygons<span> are flat, plane figures. A </span>cube<span> is a 3- di mensional solid figure.</span>
6 0
3 years ago
Donald has x twenty dollar bills and one ten dollar bill how much money does Donald have
Paha777 [63]
In equation form that would be X20+10. He has X amount of 20 dollar bills, then a 10 dollar bill. We have to multiply X by 20 first, then add that to 10.

~Deceptiøn
5 0
3 years ago
Read 2 more answers
A tire dealer sells 2 tires for as much as he paid for 3 tires. he paid $240 for a dozen tires. What is the total profit on 12 t
tester [92]
First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire

Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$

This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.

Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$

To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$

There you go!
3 0
3 years ago
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