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BARSIC [14]
3 years ago
10

Angela ordered 2 glass paperweights. The volume of each paperweight is 5 cubic inches, and the density of the glass is 1.5 ounce

s per cubic inch. Angela can use the calculation below to find the total weight of her order.
2×(5×1.5)

How can Angela simplify the calculation using only the associative property of multiplication?

Drag and drop the appropriate number or expression into each box.

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

(2\times 5)\times 1.5

Step-by-step explanation:

Since, according to associative property of multiplication,

a(bc) = (ab)c,

Where a, b and c are any real numbers,

Here, the given expression,

2 × ( 5 × 1.5 ),

By applying the associative property of multiplication,

( 2 × 5 ) × 1.5,

Hence, the appropriate expression in the first box is '(2×5)'

And, the appropriate number in the second box is '1.5'.

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Find the measure of each angle in the triangle.
ValentinkaMS [17]

Answer:

x=26°

Step-by-step explanation:

3x-14+x+90=180

4x-14=90

4x=104

x=104/4

x=26°

6 0
3 years ago
An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
What two fractions make 1/3
Anna11 [10]
1/6 and 1/6 equals 1/3
8 0
3 years ago
Suppose m<3 = 105. find m<6
tatyana61 [14]
If you mean the m^3=105, then m^6 will be ( \sqrt[3]{105}) ^6 which is 105^2 which is 11025
7 0
3 years ago
PLEASE I NEED HELP ​
NeTakaya

Answer:

D) y=-1/2x+4

Step-by-step explanation:

D) y=-1/2x+4

In order to be parallel, it has to have the same slope (-1/2).  Also, if you plug in (-2,5) for x and y, it does pass through those coordinates.

8 0
3 years ago
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