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patriot [66]
3 years ago
5

Solve for X, 3^x + 3^2 = 90​

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

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Remember ratios must be simplified. To write your ratio you will use the colon symbol,:
Firdavs [7]

Answer:

2:1

Step-by-step explanation:

Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.

20:10 = 2:1

The scale factor from triangle ABC to triangle DEF is 2:1.

4 0
3 years ago
S is the set of states in the U.S. that border georgia. Alabama∈S
lapo4ka [179]

The elements of the set S are Tennessee, South Carolina, Florida, and Alabama.

<h3>What is a set?</h3>

A set is a collection of well-defined items or objects.

The items that are found in a set are called the elements of the set.

For example, given a set S, which is the set of states in the U.S. that border Georgia.

The US state Georgia is bordered by Tennessee in the north, South Carolina and the Atlantic Ocean in the east, Florida in the south, and Alabama in the west.

Therefore, the elements of the set S = Tennessee, South Carolina, Florida, and Alabama.

In conclusion, a set consists of well-defined items.

Learn more about sets at: brainly.com/question/2166579

#SPJ1

8 0
2 years ago
In physics, it is important to use mathematical approximations. for instance, in a small angle approximation, tanα ∼ sin α . fin
siniylev [52]
Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as 
d = 100( \frac{|sin(x)-tan(x)|}{sin(x)} )

We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
f(x) =  \frac{tan(x)-sin(x)}{sin(x)}= 0.104 \\ or \\ sec(x) - 1  = 0.104 \\ sec(x) = 1.104

From the calculator, obtain
sec⁻¹ 1.104 = 0.4375

Answer:  x = 0.4375 radians

5 0
3 years ago
(20 POINTS AND BRAINLIEST ANSWER!!!) I need help with these two geometry 1 questions!!!
Svet_ta [14]
The Second page answer is C and the first page is  m/c = c/m
7 0
4 years ago
In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a
Sphinxa [80]

Answer:

\frac{2}{5}

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = \frac{2}{5}

Hence The chance the other card is black is \frac{2}{5}

5 0
3 years ago
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