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oee [108]
3 years ago
11

The diagram shows a right angled triangle use pythagoras theorem to work out length of side ac

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

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The area of a rectangle garden is 38 1/4 Square meters the width of the garden is 4 1/2 meters. Find the length of the garden
maxonik [38]
Area of rectangle it's the width multiply by the lenth.

A=W*L

A=38 1/4 m²
W=4 1/2 m²

So:                                                         38 1/4  = 4 1/2 * L
Dividing both sides by 4 1/2:          : 4 1/2         :4 1/2
                                                              38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12

Answer:  T<span>he length of the garden is 8 1/2 meters</span>
3 0
3 years ago
A vcr and tv were bought for 8000 each. The shopkeeper made a loss of 4 per cent on vcr and 8 per cent prophit on the tv. Find t
aleksley [76]

Answer:

  2% gain

Step-by-step explanation:

We assume the shopkeeper bought the appliances at the indicated prices, and that gain is computed on the basis of that cost price.

Since the base cost is the same for each appliance, the percentages can be added directly to find the percentage gain on 8000. However, the shopkeeper's total outlay was 16000, not 8000, so the final gain percentage is half of that total.

  gain percent = (-4% + 8%)/2 = 2%

_____

If you want to see the actual numbers:

  Loss on VCR = 4% × 8000 = 320.

  Gain on TV = 8% × 8000 = 640.

Total gain on 16000 is -320 +640 = 320. As a percentage, that is ...

  320/16000 × 100% = 2%

7 0
3 years ago
Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters an
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B, 13,247.5 milliliters
7 0
3 years ago
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Which answer explains the correct way to move the decimal to find the product of 23.8 x 100?
Mars2501 [29]
Move the decimal 2 places to the right resulting in the answer 2,380
4 0
2 years ago
Please help pls pls help pls belp
Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0
2 years ago
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