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3 years ago

The sum of two numbers is 18. Twice the first number (x) minus the second number (y) is 6. Find the two numbers

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

8 and 10

Step-by-step explanation:

Set the first number as x, the second as y

x+y=18

2x-y=6

This is an binary system of first order equations

3x=24

x=8

y=10

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Name all the factors of 12

N76 [4]

Answer:

1,2,3,4,6,12

Step-by-step explanation:

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2 years ago

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Find the length of the hypotenuse. Round your<br> answer to the nearest hundredth.

sergij07 [2.7K]

Answer:

8.06

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

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2 years ago

4. Tikili wants to invest $3500 at her local bank. She will receive an interest rate of 5% compounded

alexandr402 [8]

Answer:

$3863.35 = 3500(1 + \frac{0.05}{2} )^{(2 \times 2)}$

Step-by-step explanation:

The formula for this equation is

$a = p(1 + \frac{r}{n} )^{(n \times t)}$

a is the final result

p is the starting amount (deposited)

r is the interest rate

n is the number of times it's compounded

t is the time

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Please double check me I may be wrong, this is my second time doing these type of questions

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2 years ago

Find the reference angle given: t= -5π/3.

Elina [12.6K]

Answer:

The reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

The given angle is $t=-\frac{5\pi}{3}$

The reference angle is the acute angle, that a given angle makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let $\theta$ be the reference angle of $t=-\frac{5\pi}{3}$

Then, from the diagram, we need to subtract $\theta$ from $-\frac{5\pi}{3}$ to get to $-2\pi$ .

We can therefore write the following equation and solve for $\theta$ .

$\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi$

We group like terms to get,

$\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}$

We collect LCM to get,

$\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}$

We simplify to get,

$\Rightarrow -\theta=-\frac{\pi}{3}$

We divide through by $-1$

$\theta=\frac{\pi}{3}$ to get,

The correct answer is D.

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2 years ago

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