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3 years ago

Un árbol de 4.8 m de altura proyecta una sombra de 6.3 m. Encuentra la medida del ángulo "x" de elevación del sol.

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer:

37 degrees

Step-by-step explanation:

Tan x = 4.8/6.3

Tan x = 0.76

Tan^-1 (0.76) = 37 degrees

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Solve for x<br> And show work

klemol [59]

Answer:

x = -8

Step-by-step explanation:

1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

3. (Solving for equation above)

Step 1: Simplify both sides of the equation.

$(x+x) + (96+100)=180$
$2x + 196 = 180$

Step 2: Subtract 196 from both sides.

$2x + 196 - 196 = 180 - 196$
$2x = -16$

Step 3: Divide both sides by 2.

$\frac{2x}{2} = \frac{-16}{2}$
$x = -8$

Step 4: Check if solution is correct.

$-8 + 96 + 100 - 8 = 180$
$88 + 100 - 8 = 180$
$188-8=180$
$180=180$

Therefore, x = -8.

6 0

2 years ago

Read 2 more answers

Steven made $25 mowing lawns. With this money, Steven wants to save $10 and buy a new t-shirt which costs $10.81. With the rest

strojnjashka [21]

he can buy 1.52 packages.

5 0

3 years ago

Need help for question 8 and 9. I need the equation that’s passes through the points!

dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = $\frac{y_2-y_1}{x_2-x_1}$

For two points (1, 4) and (5, 8),

m = $\frac{8-4}{5-1}$

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = $\frac{y_2-y_1}{x_2-x_1}$

For two points (2, 10) and (6, 4)

m = $\frac{10-4}{2-6}$

m = $-\frac{3}{2}$

By substituting the value of 'm' in the equation,

y = $-\frac{3}{2}x+b$

Since, this line passes through (2, 10)

10 = $-\frac{3}{2}(2)+b$

b = 10 + 2

b = 12

Therefore, equation of the line will be,

$y=-\frac{3}{2}x+12$

4 0

3 years ago

The area of a square is 15.1 units². Estimate the length of the sides. Explain how you estimated.

kykrilka [37]

If it is just an estimate then it would be around <em>4</em>. 15.1 is pretty close to 16 which has a perfect square root of 4. Since it is a square both length and width would be the same. To check it you can just square 4 or 4 times 4 and get 16. Hopefully I helped! And sorry if I am wrong.

BTW the exact answer would be 3.88~ (square root of 15.1) just incase you needed that. :)

6 0

3 years ago

At the start of the recovery period, the waterbuck population contained only 140 individuals. The population had 0.67 births per

Sergio [31]

Answer:

the intrinsic growth rate of the population = 0.67 - 0.06 = 0.61 or 61%

Step-by-step explanation:

since populations increase exponentially, the same will happen here

in 5 years the population should be:

P₅ = P₀e°⁶¹ˣ⁵ = 140e°⁶¹ˣ⁵ = 2,956.15 ≈ 2,956

in 10 years the population will be:

P₁₀ = P₀e°⁶¹ˣ¹⁰ = 140e°⁶¹ˣ¹⁰ = 62,420.09 ≈ 62,420

when you are using exponential growth rates, we have to assume that r will always remain constant

6 0

3 years ago