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Lelechka [254]
3 years ago
6

5 times a number increased by 2 is the same as 8 more than 3 times the number. Find the number

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

5 times a number increased by 2 is the same as 8 more than 3 times the number.

Step-by-step explanation:

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A string running from the ground to the top of a fence has an angle of elevation of 45°. The string is 10 feet long. What is the
Elza [17]

Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.

Step-by-step explanation:

Since we have given that

Length of string = 10 feet

Angle of elevation = 45°

We need to find the distance between the fence and where the string is pegged to the ground.

We will apply "Cosine formula "

\cos 45^\circ=\dfrac{Base}{Hypotenuse}\\\\\dfrac{1}{\sqrt{2}}=\dfrac{Base}{10}\\\\Base=\dfrac{10}{\sqrt{2}}\\\\Base=7.07\ feet

Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.

8 0
3 years ago
The stained glass window shown is a regular hexagon. How can you use multiplication to find the window’s perimeter?
Nat2105 [25]

Answer:

By multiplying the length of one side by the amount of sides there are.

Step-by-step explanation:

If you find one length just find the rest by multiplying.

7 0
3 years ago
Simplify the expression (5)2.<br><br> 25<br> -10<br> -25<br> 10
grin007 [14]

Answer:

10

Step-by-step explanation:

5 (2) is the same as 5 × 2 which equals 10

5 0
3 years ago
Read 2 more answers
Find the equation of the line:<br> through (5, -1) and (2, 2).
Semmy [17]

Answer:

y = -x + 4

Step-by-step explanation:

(x₁,y₁)= (5, - 1)    & (x₂,y₂)= (2 , 2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         \frac{2-[-1]}{2-5}\\\\=\frac{2+1}{-3}\\\\=\frac{3}{-3}\\\\= -1

m = -1

Equation of the line y - y₁ = m(x - x₁)

y  - [-1] = (-1)*(x - 5)

y + 1 = -x + 5      {-1 is distributed}

y = -x + 5 - 1

y = -x + 4

8 0
3 years ago
Can some hell me understand foil <br> for (4x-3)(x+11)
Naddik [55]

Answer:

4x² + 41x - 33

Step-by-step explanation:

  • F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
  • O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
  • I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
  • Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
  • Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.

Hope this helps!

7 0
2 years ago
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