If x²+3x=5 what is the value of x?

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

Find the x & y-intercepts of the function. f(x)=2(x−1)(x+2)(x−3)

ArbitrLikvidat [17]

Answer:

its in the image below because im too lazy to write it down.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A line joins the point

Harrizon [31]

Intersection of the first two lines:

$\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}$

Multiply the first equation by 4 and the second by 5:

$\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}$

Subtract the two equations:

$(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1$

Plug this value for y in one of the equation, for example the first:

$5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1$

So, the first point of intersection is $(-1,-1)$

We can find the intersection of the other two lines in the same way: we start with

$\begin{cases}x=y\\x=3y+4\end{cases}$

Use the fact that x and y are the same to rewrite the second equation as

$x=3x+4 \iff 2x=-4 \iff x=-2$

And since x and y are the same, the second point is $(-2, -2)$

So, we're looking for a line passing through $(-1,-1)$ and $(-2, -2)$ . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be $y=x$

In the attached figure, line $5x - 2y + 3 = 0$ is light green, line $4x - 3y + 1 = 0$ is dark green, and their intersection is point A.

Simiarly, line $x=y$ is red, line $x = 3y + 4$ is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0

3 years ago

peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28

DIA [1.3K]

<h3>Answer: 8</h3>

=======================================================

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

3 0

3 years ago

Read 2 more answers

I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on g

aev [14]

.Answer:

-105

Step-by-step explanation:

Given

$Gas = \$105$ for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

7 0

3 years ago

If x²+3x=5 what is the value of x?​

If x²+3x=5 what is the value of x?