All categories

2 years ago

Find the value of the variables in the simplest form

Mathematics

1 answer:

STatiana [176]2 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{x}{\sqrt{3} }$ = $\sqrt{3}$ ( multiply both sides by $\sqrt{3}$ )

x = 3

You might be interested in

If I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?

Zarrin [17]

Answer:

Step-by-step explanation:

go to the store

6 0

2 years ago

Read 2 more answers

The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to

hram777 [196]

Answer:

$\frac{63}{15 - c} - \frac{63}{15 + c} = 4$

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time - downstream time = 4

Now the equations are

$\frac{63}{15 - c} - \frac{63}{15 + c} = 4$

5 0

2 years ago

Round to the merest hundredth389.993

kvasek [131]

What's a hundredth?

it's like this:

0.01

so where is the hundred place in this number?

389.993

it's the 9 that i made boldface

so to round to this number we delete everything after it, asking ourselves if the number after it is 4 or less? yes! so we can just delete it without changing anyway

389.99

3 0

2 years ago

A package of tickets for four home game costs 180$. What proportion can you write to find what 12-game package costs if all indi

Sophie [7]

"21 lol jfhfhdhdhhhhhhh"

6 0

2 years ago

Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq

iren [92.7K]

Answer:

See below

Step-by-step explanation:

Given function

f(x)=x³ + 3x²- 7x - 21

We can find its factors:

x³ + 3x² - 7x - 21 =
x²(x + 3) - 7(x + 3) =
(x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0

2 years ago