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3 years ago

Karina says every equilateral triangle is acute. Is this true explain

1 answer:

5 0

Yes, every equilateral triangle is acute because the angles are always congruent(identical) and 60 degrees which is acute. But I may be wrong. :P

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Solve for z. z−4/9−1/3=5/9

laila [671]

Z-4/9-1/3=5/9
z-4 =5/9(9-1/3)

z-4 =4.414814815

z =8.814

4 0

3 years ago

Read 2 more answers

I will give brainliest answer

stich3 [128]

Answer:

Left 3, down 2

Step-by-step explanation:

(6,4) --> (3,2)

-3, -2

Left 3, down 2

6 0

3 years ago

Briefly, describe the distribution in context. Recall, categorical variables are summarized by counts and/or percents

Sholpan [36]

Thus, distribution is a function that shows the possible values for a variable and how often they occur and categorical values are summarized by counts and/or percents

In statistics, the distribution is a function that shows the possible values for a variable and how often they occur.

The distribution of a data set is the shape of the graph when all possible values are plotted on a frequency graph. Usually, we are not able to collect all the data for our variable of interest. Therefore we take a sample. This sample is used to make conclusions about the whole data set.

The categorical variable is a data in which individuals are placed into groups or categories.

One way to summarize categorical data is to simply count (frequency), or tally up, the number of individuals that fall into each category. Another way is to show the percentage of individuals who fall into each category, thereby creating a relative frequency.

Learn more about distribution here

brainly.com/question/15352066

#SPJ4

3 0

2 years ago

A shipping company uses an inclined conveyor belt to load or unload packages. The dock is 15 feet above ground. The base of the

alexgriva [62]

Hey there! :D

Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.

The conveyor belt itself is at a diagonal, and should be the hypotenuse.

Use the Pythagorean theorem.

a^2+b^2=c^2

15^2+40^2= c^2

225+1,600= c^2

Add the values together.

1,825= c^2

Find the square root of 1,825.

c= 42.7 (rounded to the nearest tenth)

The conveyor belt is 42.7 feet long.

I hope this helps!
~kaikers

7 0

3 years ago