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qwelly [4]
3 years ago
8

Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer

<h2>\sqrt{105}</h2>

Step by step explanation

\sqrt{3}  \times  \sqrt{5}  \times  \sqrt{7}

The product of roots with the same index is equal to root of the product

=  \sqrt{3 \times 5 \times 7}

Calculate the product

=  \sqrt{105}

Hope this helps...

Best Regards!

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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

<u />

4 0
3 years ago
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Please answer the following essay question:
Dmitriy789 [7]
Gfryudsgjxeujhhhdsethjhyui
4 0
3 years ago
I need help pls answer this!!!
Digiron [165]

Answer:

90

Step-by-step explanation:

8 0
3 years ago
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Help me please help
Iteru [2.4K]
I am not sure but i think it’s 56•
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