If you know this please tell me all the answers

Three right triangles are drawn in the coordinate plane,

SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

$SL_{A} = 8 - 5 = 3$

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

$LL_{A} = 2 - (-8) = 10$

Then, the length of the longer leg is 10.

Now, we can find the hypotenuse (H) by using Pitagoras:

$H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4$

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

$SL_{B} = 7 - 3 = 4$

The LL is from (7, -9) to (7, 4)

The length of the LL is:

$LL_{B} = 4 - (-9) = 13$

The hypotenuse is:

$H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6$

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

$SL_{C} = -1 - (-6) = 5$

The LL is from (-10, -6) to (-3, -6)

The length of the LL is:

$LL_{C} = -3 - (-10) = 7$

The hypotenuse is:

$H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6$

I hope it helps you!

5 0

3 years ago

The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.

fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

$\theta = 39^\circ$

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

$\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}$

Let x feet be the height of tree.

Putting all the values, we get,

$\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5$

Thus, the height of tree is approximately 121.5 feet.

6 0

4 years ago

......//...//../././//..//.././.?

igomit [66]

Answer:.//./././/..

Step-by-step explanation:.././././..././..././//...../

6 0

3 years ago

PLEASE HELP ME ASAP?!?

Blababa [14]

Answer:

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

Step-by-step explanation:

In a quadratic function leading coefficient decides the width of a graph.

In simpler words, leading coefficient decides the vertical stretch of the graph.

Higher the value of leading coefficient, higher the vertical stretch.

When a graph is vertically stretched it becomes narrower.

(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)

Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = $\frac{1}{4}x^{2}$ will be the widest.

So the descending order will be,

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

5 0

3 years ago

Jack,sally, and joe all work in a bookstore.jack sold 126 books.joe 1/2 as many books as jack,and sally sold 1/3 as many books a

Darina [25.2K]

Sally sold 2302323 books!

7 0

4 years ago