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dexar [7]
3 years ago
10

Name the types of angles shown. Check all that apply.

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

ANTONII [103]3 years ago
3 0

Right angle (EFH)

Acute angle(GFH)

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Use scientific notation to rewrite the number:
jeka57 [31]
A. 2.603*10^-4
b. 538
4 0
4 years ago
Read 2 more answers
Find the length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width.
djyliett [7]

Answer:

The length is 72 feet.

Step-by-step explanation:

<em>Equations</em>

2L+2W=192

L=3W

<em>Solving/Substitution</em>

2(3W)+2W=192

8W=192

W=192/8=24

L=24*3=72

The length is 72 feet.

The width is 24 feet.

<em />

6 0
3 years ago
The "off-peak” weekly average cost of hiring a caravan in England is £480.
valina [46]

Answer:

77.08%

Step-by-step explanation:

850 - 480 = 370

(370 / 480 ) × 100 = 77.08333333%

8 0
3 years ago
The revenue equation (in hundreds of millions of dollars) for barley production in a certain country is approximated by R(x) = 0
STatiana [176]

Answer:

The marginal-revenue equation is R'(x)=0.1226x+1.1584.

The marginal revenue for the production of 200,000,000 bushels is R'(x)=1.4036.

The marginal revenue for the production of 650,000,000 bushels is R'(x)=9.1274.

Step-by-step explanation:

The derivative R'(x) of the revenue function is called the marginal revenue function and is the rate of change of revenue with respect to the number of units sold.

We know the revenue function, R(x) = 0.0613x^{2} +1.1584x+2.4813. Therefore, the marginal revenue function is

R'(x)=\frac{d}{dx}R(x) = \frac{d}{dx}(0.0613x^{2} +1.1584x+2.4813)\\\\=\frac{d}{dx}\left(0.0613x^2\right)+\frac{d}{dx}\left(1.1584x\right)+\frac{d}{dx}\left(2.4813\right)\\\\R'(x)=0.1226x+1.1584

To find the marginal revenue for the production of:

200,000,000 bushels we use x = 2, since x is in units of hundreds of million of dollars.

R'(x)=0.1226\cdot \:2+1.1584\\\\R'(x)=0.2452+1.1584\\\\R'(x)=1.4036

650,000,000 bushels we use x = 65, since x is in units of hundreds of million of dollars.

R'(x)=0.1226\cdot \:65+1.1584\\\\R'(x)=7.969+1.1584\\\\R'(x)=9.1274

3 0
3 years ago
A plant produces 500 units/hour of an item with dimensions of 4” x 6” x 2”. The manager wants to store two weeks of supply in co
mart [117]

Answer:

  564 ft²

Step-by-step explanation:

To account for the extra space between units, we can add 2" to every unit dimension and every box dimension to figure the number of units per box.

Doing that, we find the storage box dimensions (for calculating contents) to be ...

  3 ft 2 in × 4 ft 2 in × 2 ft 2 in = 38 in × 50 in × 26 in

and the unit dimensions to be ...

  (4+2)" = 6" × (6+2)" = 8" × (2+2)" = 4"

A spreadsheet can help with the arithmetic to figure how many units will fit in the box in the different ways they can be arranged. (See attached)

When we say the "packing" is "462", we mean the 4" (first) dimension of the unit is aligned with the 3' (first) dimension of the storage box; the 6" (second) dimension of the unit is aligned with the 4' (second) dimension of the storage box; and the 2" (third) dimension of the unit is aligned with the 2' (third) dimension of the storage box. The "packing" numbers identify the unit dimensions, and their order identifies the corresponding dimension of the storage box.

We can see that three of the four allowed packings result in 216 units being stored in a storage box.

If storage boxes are stacked 4 deep in a 9' space, the 2' dimension must be the vertical dimension, and the floor area of each stack of 4 boxes is 3' × 4' = 12 ft². There are 216×4 = 864 units stored in each 12 ft² area.

If we assume that 2 weeks of production are 80 hours of production, then we need to store 80×500 = 40,000 units. At 864 units per 12 ft² of floor space, we need ceiling(40,000/864) = 47 spaces on the floor for storage boxes. That is ...

  47 × 12 ft² = 564 ft²

of warehouse floor space required for storage.

_____

The second attachment shows the top view and side view of units packed in a storage box.

4 0
3 years ago
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