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3 years ago

For which triangle does the equation 42 + 42 = c2 apply?

Mathematics

2 answers:

lara [203]3 years ago

7 0

Answer:

figure 2

Step-by-step explanation:

the equation to find the long side of a right triangle is a^2+b^2=c^2 which is what the equation is and the only one that is a right triangle is the 2nd one :)

Softa [21]3 years ago

4 0

Answer:

Figure 2 is correct

Step-by-step explanation:

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The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

3 years ago

a cell phone plan offers 250 minutes each month for 15.00 dollars per month. what is the cost per minute when a person uses all

Nezavi [6.7K]

It costs 0.06 cents each minute.

Explanation : $15/250 minutes = $0.06

4 0

4 years ago

PLEASE HELP!!! I will give brainliest and give a shoutout for whoever answers this and if I don't, hold me accountable.

kolbaska11 [484]

Answer:

$\frac{dy}{dx} = \frac{ \sin(y) - y \cos(x) }{ \sin(x) - x \cos(y) }$

6 0

3 years ago

A research team is testing a product that will minimize wrinkles among women. Volunteers in the age group of 40 to 45 are includ

artcher [175]

There are mistakes in the answer options attached. These are the correct ones.

a. The group that received the bottle of solution is the control group.

b. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group.

c. Both the groups are control groups.

d. Neither group is an control group.

Answer:

B. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group

Step-by-step explanation:

In an experiment of this type, the control group is the group that does not contain the treatment. So in this group The effect of the treatment unknown unlike the experimental group which gets the treatment that the researcher is trying to find it's effect.

I. Conclusion, the group that got bottles that did not contain Ingredients for wrinkles lessening is the control group.

4 0

3 years ago

I need to solve: 6x+3^59

MrMuchimi

6х=59:3
6х=19,6
Х=19,6:6
Х=3,2

7 0

3 years ago