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2 years ago

Which of the following is the length of the altitude a of the equilateral triangle below?

Mathematics

1 answer:

maria [59]2 years ago

3 0

Answer:

A) $\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : $\sqrt{3}$ : 2

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This is probably easy I’m just slow in the head but plz help!Follow me on Instagram:itz_me_clarita

Gennadij [26K]

Answer:

Answers are below

Step-by-step explanation:

x y

12 3

3 1

18 6

To find the values of y, divide each of the x values by 3.

If these answers are correct, please make me Brainliest!

3 0

2 years ago

Read 2 more answers

Jill filled up the gas tank in her new hybrid car.Jill put 10.3 gallons of gas in her car and she has driven 473.8 miles. Determ

mafiozo [28]

Jill put 10.3 gallons of gas into her car. She drove for 473.8 miles.

So we have to find how many miles per gallon she drove.

473.8 into 10.3 = 46

To make sure= 10.3 x 46 = 473.8

So Jill drove 46 miles per gallon.

5 0

2 years ago

Wrtie the numbers in increasaing order, 4,-9,-5,9,-2,3

Lyrx [107]

Increasing order means from least to greatest.

-9 is the greatest negative number.

-5 is the 2nd negative greatest number.

-2 is the least negative number.

3 is the least positive number.

4 is the second greatest positive number.

9 is the greatest positive number.

So, the answer is: -9,-5,-2,3,4,9

Hope I helped!

6 0

2 years ago

Read 2 more answers

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

MAXImum [283]

Answer:

x = 43
43°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

x° + (x +8)° + 2x° = 180°

4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

x +2 = 45 . . . . . . . . . . divide by 4

x = 43 . . . . . . . . . . subtract 2

x +8 = 51

2x = 86

The angles are 43°, 51°, 86°.

7 0

1 year ago