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Ugo [173]
2 years ago
6

What is the value of y? PLEASE EXPLAIN 8.5 = y/3 <------ Fraction

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

y=25.5

Step-by-step explanation:

To find y, you need to get it by itself. Ask yourself, what is being done to y, then to undo that, do the opposite. For example, if 3 was added to y, you would need to subtract 3 to cancel out the 3. In this case, what is being done to y? It's being divided by 3. So, you multiply by 3 to cancel that out. Whatever you do to one side of an equation, you also have to do to the other. So,

8.5=\frac{y}{3}   Multiply both sides by 3

3(8.5) = 3(\frac{y}{3})  multiply on the left side, and on the right side the 3s cancel out

25.5=y

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3 years ago
1.<br> Use trigonometry to work out the value of x.<br> Not drawn accurately. <br> Help pls
tino4ka555 [31]

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

  • Use SOHCAHTOA
  • You want to find A and have an angle of 36° and H
  • So use CAH
  • cos(39) = x / 20
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8 0
2 years ago
Help me with this one
Artist 52 [7]

9514 1404 393

Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

  (x +a)² = x² +2ax +a²

The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

  2a = 1

  a = 1/2

That means we can write ...

  (x +1/2)² = x² +x +1/4

But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

  x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}

_____

Another way to consider this is ...

  x² +bx +c

  = x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*

  = (x +b/2)² +(c -(b/2)²)

for b=1, c=1, this becomes ...

  x² +x +1 = (x +1/2)² +(1 -(1/2)²)

  = (x +1/2)² +3/4

_____

* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

5 0
3 years ago
1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side,
maksim [4K]

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

8 0
3 years ago
6
SVETLANKA909090 [29]

Answer:

56.52 units²

explanation:

  • We should know circle's area: πr²
  • Then the semi circle shall have half area, so formula: (1/2)πr²

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

6 0
2 years ago
Read 2 more answers
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