Ask question

Ask question

All categories

nikitadnepr [17]

4 years ago

8

Use the figure shown to find the missing lengths of the triangle.

1 answer:

podryga [215]4 years ago

6 0

A triangle with two identical angles and one different angle is an isoceles triangle; the two sides across from the identical anlges are the exact same

pythagoren theorem

AB² = AC² + BC²

since this is isoceles and AC is the same as BC, we can let BC = AC and so

AB² = AC² + AC²
AB² = 2AC²
AC² = AB² / 2
AC = √(AB² / 2)
AC = √( (19√2)² / 2)
AC = √( (19² ·2 ) / 2)
AC = √361

AC = 19 m
and isosceles so BC = 19 m

You might be interested in

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

4 0

4 years ago

If we wanted to measure the capacity of the waterfall and how deep it was, what unit of measure would we use?

liberstina [14]

Length and dept i think not sure about it

4 0

3 years ago

A car travels 100 meters in 5 seconds. Whats is the speed of the car

MatroZZZ [7]

Answer:

20m/s

Step-by-step explanation:

$Speed=Distance\div Time$

$Speed=100m \div 5s$

$Speed = 20m/s$

7 0

3 years ago

3 of 8<br> The area of a circle is 16.71cm2.<br> Find the length of the radius rounded to 2 DP.

Cerrena [4.2K]

Answer:

Radius = 2.31 cm

Step-by-step explanation:

Area of circle = 16.71 square centimeters

$\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306$

Radius of circle = 2.31 centimeter

6 0

3 years ago

MARKING BRAINLIEST ....loll

Ganezh [65]

A. 5/12
250/600=5/12

8 0

3 years ago