Phân tích thành thừa số <br>a) 2√46 + √69<br>b) x√x

Algebraic expression for 12 divided by t ?

Dimas [21]

Answer:

$\frac{12}{t}$

Step-by-step explanation:

To write an algebraic expression from words, translate each word into a symbol. Division can be shown with a division sign or a fraction sign. Create a fraction with a 12 in the numerator and the variable t in the denominator.

8 0

3 years ago

Answer fast please will give brainliest

DIA [1.3K]

Answer:

Approximately 14.65 kilometers.

Step-by-step explanation:

Please refer to the drawing.

So, to find our distance, we essentially just need to find the value of x.

To do so, we can use the Law of Sines.

Note that ∠a corresponds to the 12km, and ∠c corresponds to x.

So, let's find each of the angles first.

Note that from our ending point, the bearing to the lighthouse is 125°.

This means, if you refer to the drawing:

$a+b=90$

This is because they are complementary.

We also know that:

$90+b=125$

From our bearing.

So, let's solve for b. Subtract 90 from both sides:

$b=35$

Substitute this back into our first equation to acquire:

$a+35=90$

Subtract 35 from both sides:

$a=55\textdegree$

Now, we can use the fact that the interior angles of a triangle sum to 180 to find c. We already know that one angle is 36 and the other is 55. So:

$36+55+c=180$

Add:

$91+c=180$

Subtract 91 from both sides:

$c=89\textdegree$

Now, we can use the Law of Sines, which states:

$\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}$

It doesn't really matter which ratio we use as long as we align the sides and angles correctly.

Recall that ∠a correspond to 12km while ∠c corresponds to x.

So, let's substitute 12 for a, 55 for A, x for b, and 89 for B. This yields:

$\frac{\sin(55)}{12}=\frac{\sin(89)}{x}$

So, to find the distance traveled, we just have to find x.

Cross-multiply:

$12\sin(89)=x\sin(55)$

Divide both sides by sin(55). This yields:

$x=\frac{12\sin(89)}{\sin(55)}$

Divide. Use a calculator. Make sure you're in Degrees mode. This gives us:

$x\approx14.65$

So, the ship approximately traveled 14.65 kilometers from Point A to Point B.

And we're done!

7 0

3 years ago

-2,-7,-12 ,.... is an arithmetic sequence Find the sum of its first 20 terms ?

nlexa [21]

Given sequence:

-2,-7,-12 ,..

Unknown;

Find the sum of the first 20 terms = ?

Solution:

The sequence is -2,-7,-12 ,..

To find he sum of n-terms of a sequence, we use the expression below;

Sₙ = $\frac{n}{2} (2a + (n-1)d)$

where n is the number of terms = 20

a is the first term = -2

d is the common difference= -7 - (-)2 = -5

Now input the parameters and solve;

Sₙ = $\frac{20}{2} (2(-2) + (20 - 1) x -5)$

Sₙ = 10(-4 + -5(19)) = 10(-99) = -990

The sum of the first 20 terms of the sequence is -990

4 0

4 years ago

!!Please help!! Its due tmr please thanks !!

bezimeni [28]

Answer:

What do you need help with?

5 0

3 years ago

Which completes the work correctly?

matrenka [14]

The correct answer is the last one

3 0

3 years ago

Phân tích thành thừa số a) 2√46 + √69b) x√x - y√yc) x-2+√x^2-4