Can you please help

The surface area of a cube is 294 cm2. Which statements are true about the same cube measured in square millimeters? Choose all

wlad13 [49]

To check whether the statements are correct, we need to convert cm to mm.

surface area of a cube = 6 a²
294 cm² = 6 a²
294 cm² / 6 = a²
49 cm² = a²
√49 cm² = √a²
7cm = a

1 cm = 10 mm
7 cm = 70 mm

Surface area of a cube = 6a²
= 6 * (70mm)² = 6 * 4,900mm² = 29,400mm²

<span>B. The number representing the surface area would increase.
</span><span>E. The actual surface area would stay the same.</span>

5 0

3 years ago

Use the given information to find the lengths of the other two sides of the right triangle if side a is opposite angle A, side b

sveta [45]

SOH CAH TOA tells you

... cos(B) = a/c

... 4/5 = 8/c

... c = 10 . . . . . multiply by 5c/4

By the Pythagorean theorem,

... b = √c² -a²) = √(10² -8²) = √36 = 6

The lengths of the other two sides are: b = 6, c = 10.

_____

You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.

4 0

3 years ago

Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have

Andreyy89

Answer:

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function

Constraint :

basket capacity 17

9*x₁ + 3*x₂ + 4*x₃ ≤ 17

General constraints:

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

3 0

2 years ago

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?