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Verizon [17]
3 years ago
8

The unknown side of a trapezium.

Mathematics
2 answers:
Temka [501]3 years ago
5 0

Answer:

11 mm

Step-by-step explanation:

121=area of a rectangle and area of triangle

121=x*8+(0.5)*x*(14-8), 11x=121, x=11

lara31 [8.8K]3 years ago
3 0

Answer:

11mm

Step-by-step explanation:

Let the unknown side be x

Area  \:  \:  \: of  \:  \: the \:  \:  trapezium =  \frac{1}{2}  \times (sum \:  \: of \:  \:  \: the \:  \: parallel \: sides) \times height \\  121=  \frac{1}{2}  \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\  \frac{242}{22}  =  \frac{22x}{22}  \\ 11 = x

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Please please help me
Gala2k [10]

Answer:

89.0°

Step-by-step explanation:

The segment from the centre of the circle to the chord is a perpendicular bisector, hence

third side of right triangle = 12.7 ÷ 2 = 6.35

The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre

The triangle from the centre to C is congruent to the triangle from the centre to D

Calculate the angle (Θ ) in the right triangle using the sine ratio

sinΘ = \frac{opposite}{hypotenuse} = \frac{6.35}{9.06}

Θ = sin^{-1} ( \frac{6.35}{9.06} ) ≈ 44.5°

Hence

measure of CD = 2 × Θ = 2 × 44.5 = 89.0°

5 0
4 years ago
What is 0.00000000005 in scientific notation
Margarita [4]
The exponent of 12 tells of how many prizes to count to the left of the decimal. Another example of how a scientific notation can make numbers easier to read is the diameter of a hydrogen atom, which is about 0.00000005 mm, and in Scientific notation is 5x10-8 5x10 -8mm.
5 0
3 years ago
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9/x =19/4. What is x?
CaHeK987 [17]
Best of luck!
I helped you through the steps as well don't worry! :D

6 0
4 years ago
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There are 4 times as many females as males on the maths course at university. What fraction of the course are male?
maxonik [38]

Answer:

A

Step-by-step explanation:

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3 years ago
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Find the PERIMETER and the AREA of the following figure,<br> 16 ft<br> 8 ft<br> 10 ft
Fed [463]

9514 1404 393

Answer:

  • perimeter: 36 +16√5 ft ≈ 71.777 ft
  • area: 288 ft²

Step-by-step explanation:

<u>Perimeter</u>

The perimeter is the total length of all the sides. The length of the horizontal sides is 8 ft + 10 ft = 18 ft. The length of the slant sides can be found using the Pythagorean theorem. For side length s, we have ...

  s^2 = 8^2 + 16^2

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Then the perimeter is ...

  P = 2(8√5 + 18) = 36 +16√5 ≈ 71.777 . . . feet

__

<u>Area</u>

The area is given by the formula ...

  A = bh

where b is the base and h is the height.

  A = (18 ft)(16 ft) = 288 ft²

4 0
4 years ago
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