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Dafna1 [17]
3 years ago
11

Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. One-fifth (x minus 2) = 20 By which

number should Marina multiply both sides of the equation as the first step in solving it?
Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the equation:

1/5 × (x - 2) = 20

First step to solving the equation is

By multiplying both sides by the value of 5.

That will give,

x - 2 = 100

x = 100 + 2

= 102

kirill [66]3 years ago
5 0

Answer:

The number is 5

Step-by-step explanation:

Using reciprocal method

1/5(x-2)=20

We'll multiply the both sides by the reciprocal of 1/5 which is 5

(1/5)*5(x-2)= 20*5

1(x-2)= 100

X-2 = 100

X= 100+2

X = 102

But note that we multiplied the equation by 5 which is reciprocal of 1/5 as the first step.

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A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0
2 years ago
Find a unit vector that is orthogonal to both u and v<br><br> .u = −8, −6, 4<br> v = 17, −18, −1
lisov135 [29]

Answer:

\left(\frac{\sqrt{78}}{30},\ \frac{\sqrt{78}}{39}\ ,\frac{41\sqrt{78}}{390}\right)

3 0
1 year ago
Solve for f.<br> 9f = 8f + 8<br> f
Svet_ta [14]

Answer:

f = 8

Step-by-step explanation:

9f = 8f + 8

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= f

So, f = 8

9(8) = 8(8) + 8

72 = 72

6 0
2 years ago
Read 2 more answers
Answer it with proof please, so I know how you got it.
Alex Ar [27]

I think it's 79.50 square units. there three triangles in the quadrilateral shape above with the areas given so add the areas together to get the answer

4 0
3 years ago
Read 2 more answers
Help plz with a cherry on top!
Harrizon [31]
A triangle's angle measures add up to 180°.
67 + 90 = 157
180 - 157 = 23
The last angle measure is 23°.

The longer the side length, the larger the angle opposite it is. And vice versa. The shorter the side length, the smaller the angle opposite it is.

Side Length:     ∠ Measure Opposite Side:
5 in                      23°  
12 in                    67°
13 in                    90°
3 0
3 years ago
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