Solve each system of equations algebraically.

aleksklad [387]

A)He can cut 5 strips of of 7/10m.

7/10=0.7m

0.7*5=3.5m
3.5m of wire wil be used in cutting possible 7/10m pieces.

b)Leftover will be 0.6m.
4.1-3.5=0.6m

4 0

3 years ago

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The area of a square piece of land in square units can be represented by the expression 9q4r8s6. What is the length of one side

sveta [45]

Knowing that the area of a square is equivalent the square of its side length, the length of one side can be calculated by taking the square root of the area. The square root of the expression 9q^4r^8s^8 units is equivalent to 3q2r4|s3| units. When taking the square root of variables, the power they are raised to is divided by 2.

7 0

3 years ago

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Please answer right away

Ilya [14]

Answer:

6.13

Step-by-step explanation:

Using Sine Law we know that

$\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}$

Using your figure let's assign sides and angles:

A=? B = 60° C = 70°

a = 5 b = ? c = x

If we put that into our formula:

$\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}$

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?

Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°

∠A + ∠B + ∠C= 180°

∠A + 60° + 70° = 180°

∠A + 130° = 180°

∠A = 180° - 130°

∠A = 50°

Now we can use this to solve for x.

$\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x$

So the closest answer would be 6.13

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3 years ago

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A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then

jarptica [38.1K]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

GIVEN: A bag contain $5$ red marbles, $4$ green marbles and $1$ blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.