How old am I? Closest answer gets Brainliest

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 endpoints of DE and D(-3, y) and x, 6). The midpoint of DE is M(4,2). What is the length of DE.

Natasha_Volkova [10]

If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units

The formula for calculating the midpoint is expressed as;

$M(x,y)=(\frac{x_1+x_1}{2}, \frac{y_1+y_2}{2})$

For the x-coordinate points:

X = -3+x/2

4 * 2 = -3 + x

8 = -3 + x

x = 8 + 3

x = 11

Get the value of y;

2 = y+6/2

y+6 = 2 * 2

y + 6 = 4

y = 4 - 6

y = -2

Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

$D=\sqrt{(6-(-2))^2+(11-(-3))^2}\\D=\sqrt{8^2+14^2}\\D=\sqrt{64 + 196}\\D= \sqrt{260}\\D= 16.12units$

Hence the length of DE is 16.12 units

Learn more here; brainly.com/question/22624745

3 0

2 years ago

When asked to factor the x^2-121 a student gives the answer (x-11)(x-11) what is wron with this answer?

Art [367]

Given expression is x² - 121

This is called Difference of Squared terms, we have a formula that is given as :-

a² - b² = (a - b) · (a + b)

Now using the above formula in the given expression, we get :-

x² - 121

x² - (11)²

here a = x and b = 11

x² - (11)² = (x - 11) · (x + 11)

but it says that student gave the answer as (x - 11) · (x - 11).

So, student's answer should be (x - 11) · (x + 11) instead of product of two (x - 11) terms.

7 0

3 years ago

Read 2 more answers

A white rhinoceros weighs about 2 ½ tons. How many pounds does the white rhinoceros weigh?

steposvetlana [31]

Answer:

5000 pounds

Step-by-step explanation:

1 ton = 2000 pounds

2.5 tons = 2000 x 2.5 or 5,000 pounds

3 0

3 years ago

Find the surface area of the rectangular prism. 3 cm 10 cm 7 cm [?] sq cm

Setler79 [48]

Answer:

Step-by-step explanation:

There are six faces on the prism:

Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each

Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each

Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each

surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²

5 0

2 years ago