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Helen [10]
2 years ago
13

Help please 5 points

Mathematics
1 answer:
astraxan [27]2 years ago
4 0

Answer:

hint for next time

Step-by-step explanation:

never ask a a and b question for only 5 points

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Vinvika [58]

Answer:

1- 60

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8 0
3 years ago
Match the reasons with the statements in the proof if the last line of the proof would be 6. ∠1 and ∠7 are supplementary by defi
Alecsey [184]

Answer:

Given : s||t

Exterior sides in opposite rays : ∠5 and ∠7 are supplementary

Definition of supplementary angles : m∠5 + m∠7 = 180°

If lines are ||, corresponding angles are equal : m∠1 = m∠5

Substitution : m∠1 + m∠7 = 180°

4 0
3 years ago
Read 2 more answers
A paper popcorn cone measures 4 inches in a diameter and is 9 inches high?
Aloiza [94]

Explanation is in the file

tinyurl.com/wtjfavyw

8 0
3 years ago
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Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
inn [45]

Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = 132/11

k = 12

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

Thus, 168 inches is your answer! :)

Hope this helps! :)

7 0
2 years ago
Read 2 more answers
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
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