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3 years ago

a triangle has two sides of length 6 and 1. What is the smallest possible whole-number length for the third side?

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

You’d have to use the Pythagorean Thereom. a^2 + b^2 = c^2. then figure out the smallest side length from there

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identify a pattern in the given list of numbers. then use this pattern to find the next number. 1/2,1/5,1/8,1/11,1/14 ( these a

Solnce55 [7]

Answer: 1/17

Step-by-step explanation: The denominator gets larger by 3 each time. That's it!

5 0

3 years ago

I need the solution and the work for it... for each of the multiple choices.

Vlad1618 [11]

For this case we have the following equation:

$x ^ 3 = 375$

We must find the value of "x":

We apply cube root on both sides of the equation to eliminate the exponent:

$x = \sqrt [3] {375}$

We can write 375 as $5 ^ 3 * 3$

So:

$x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}$

Then, the correct options are:

$x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}$

Answer:

Option A and B

8 0

3 years ago

What is the awnser to the circled equations?

pshichka [43]

Answer:

$y = - \frac{1}{3}x - 1$

Step-by-step explanation:

We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ $m = - \frac{1}{3}$

Therefore, the equation of the required line in slope intercept form is

$y = - \frac{1}{3} x + c$ {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, $2 = - \frac{1}{3} \times (-9) + c$

⇒ 2 = 3 + c

⇒ c = - 1

Therefore, the equation of the required straight line is $y = - \frac{1}{3}x - 1$ (Answer)

5 0

3 years ago

Mrs. Brown deposits $22,150 into a savings account that will earn 3% simple interest per year.

Andrei [34K]

Answer: 23498.935

Step-by-step explanation:

this helped me in middle school so please remember this equation

A=P(1+R/N)NT

A=AMOUNT

P=PRINCIPAL

R=INTEREST RATE

N=NUMBERS OF TIMES THE INTEREST IS COMPOUNDED

NT=TIME(YEARS

So now we have this... right...

A=P(1+R/N)NT

you have to fill it in and you will get

a=22,150(1+3/1)^2

put that in your handy dandy calculator and you will get your answer

3 0

3 years ago

6. (5 points) What is 3loga + logb − logc written as a single logarithm?

Jobisdone [24]

Answer: $log(\frac{a^3b}{c})$

Step-by-step explanation:

You need to use the following Properties of Logarithms:

$1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})$

Given the following expression:

$3log(a) + log(b) - log(c)$

You can follow these steps in order to write it as a single logarightm:

- Apply the first property shown above:

$=log(a)^3 + log(b) - log(c)$

- Apply the second property:

$=log(a^3b)- log(c)$

- Finally, apply the third property:

$=log(\frac{a^3b}{c})$

4 0

3 years ago