Convert 9.46 x 10^12 to expanded form

A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

a² + b² = c²
(80)² + b² = (170)²
b² = 170² - 80²
b² = 22500
b = 150

The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

(100)² + (150)² = c²
32500 = c²
180.28 = c

The distance between the helicopter and the speed boat is 180.28 m.

8 0

2 years ago

An 11-inch by 8-inch piece of cardboard has squares cut out of the corners and is folded up to make an open-top box. If the volu

12345 [234]

Volume=14in^3

$\\ \sf{:}\implies (side)^3=14$

$\\ \sf{:}\implies side=\sqrt[3]{14}$

$\\ \sf{:}\implies side=2.5in$

Now

L=11in
B=8in

$\\ \sf{:}\implies Area=11(8)=88in^2$

Cut it into 10 parts as per question(Open side means five sides hence it will be 5×2=10)

$\\ \sf{:}\implies 88/10=8.8in$

Now divide by previous side

$\\ \sf{:}\implies \dfrac{8.8}{2.5}=3.52=3.5$

Option D

6 0

2 years ago

The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juic

Elanso [62]

Answer: The answer is 8

Step-by-step explanation:

It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1

2

+

4 1

2

=

17

Calculation steps:

12 1

2

+

4 1

2

= (12 + 4) + (

1

2

+

1

2

)

= 16 +

1 + 1

2

= 16 +

2

= 16 +

2 ÷ 2

= 16 +

1

= 8 hope this helps

6 0

2 years ago