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maksim [4K]
3 years ago
11

A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but

Mathematics
2 answers:
UNO [17]3 years ago
8 0

Answer:

Second option: The area increases by 6 square units.

Step-by-step explanation:

A1 = ½ × 4 × 3 = 6 units²

A2 = ½ × 4 × 2(3) = 12 units²

Increase: 12 - 6 = 6 units²

Soloha48 [4]3 years ago
3 0

Answer:

The area increases by 6 square units.

Step-by-step explanation:

The original  area of triangle

A = 1/2 bh

a = 1/2 (4)*3

6 square units

Now we double the height

A = 1/2 (4) *6

A = 12 square units

The difference is 12-6 = 6  square units

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Point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their dista
Keith_Richards [23]

Answer:

the answer is number 3)2

Step-by-step explanation:

subtract the both

7 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

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4 0
2 years ago
Simplify 5m-2(6m-5)+2<br><br>a. -7m-8<br>b. -7m+12<br>c. 17m+12<br>d. 17m-8
fgiga [73]

The answer is B. -7m+12.


First distribute the -2 to 6m and -5.

5m-2(6m-5)+2

5m+(-2*6m)+(-2*-5)+2

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After that, combine the like terms.

5m+-12m+10+2

-5m+-12m=-7m

10+2=12


The simplified expression is -7m+12.

7 0
4 years ago
Sadie measured the floor of her storage unit, which is rectangular. It is 9 meters wide and 10 meters from one corner to the opp
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lack

Step-by-step explanation:

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3 years ago
The rate of discount, R, can be determined using the formula, where P is the regular price of an item and D is the discount or a
astraxan [27]

Answer:

B.0.31

Step-by-step explanation:

% of change = amount of change/original price

R=(P-D)÷P

39-27=12

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≈.31

8 0
3 years ago
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