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ANTONII [103]
3 years ago
15

Create an expression that is equivalent to 8(x+5) without using parenthese

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0

Answer:

8x + 40

Step-by-step explanation:

Simply apply "distributive property" to make effective the implicit multiplication stated by 8(x+5) which reads as: the factor "8" multiplies all that is inside the parenthesis *the binomial (x+5). In this case, 8 multiplies x which is the first term of the binomial, and also multiplies the second term "5".

Distributive property therefore gives us the following:

8 (x+5) = 8x + 40

kirill115 [55]3 years ago
4 0

Answer:

8x+40

Step-by-step explanation:

8(x+5)

Distribute

8*x +8*5

8x+40

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spin [16.1K]
Okie doke. 1cm on the map equals 500 meters. The distance from the gate to the ferris wheel on the map is 2.5cm. To find the actual distance, multiply the length on the map by the distance per centimeter. 500 * 2.5 is 1,250. The actual distance is 1,250 meters.

Note: When it comes to problems like these, you must always multiply the distance on the map by the scale unit (in other words, the actual distance on how far it is per the smaller unit).
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2 years ago
Find the mAC . Remember, the total arc sum of a circle is 360 degree.
umka21 [38]

Answer:

120°

Step-by-step explanation:

6 0
2 years ago
What is the estimate answer and the exact answer of 17/10 ÷2 4/5
OLEGan [10]
Both 17/10 and 2 4/5 should be rounded up in preparation for this estimation.

17/10 is close to 2 and 2 4/5 is close to 3.  Thus, your estimated answer should be
                     2/3, or approx. 0.6666....

Exact answer:    divide 17/10 by 14/5.  LCD is 10, so convert 14/5 to 28/10.

Now divide 17/10 by 28/10.  Answer:  17/28 = approx.   =  0.607 approx.

These two results are comparable:   0.6666....  and 0.6071 ....
8 0
3 years ago
O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° res
Viktor [21]
<h3>Answer:  roughly 12.6274 meters</h3>

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

===========================================================

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

-----------------------------------

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

----------------------------------

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

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What is the length of the segment with endpoints of (3,2) and (-3,-6)?
Anon25 [30]
10 square units.
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