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Bumek [7]
3 years ago
7

How to do question 22?

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

A = 20sinθ(6 + 5 cosθ)  cm²

Step-by-step explanation:

Drop perpendiculars DE and CF to AB.

Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.

The formula for the area of the trapezium is

A = ½(a + b)h

DE = 10sinθ

AE = 10cosθ

BF = 10cosθ

EF = CD = 12 cm

AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ

A = ½(a + b)h

   = ½(12 +12 + 20 cosθ) × 10 sinθ

   =(24 + 20 cosθ) × 5 sinθ

   = 4(6 + 5cosθ) × 5sinθ

   = 20sinθ(6 + 5 cosθ)  cm²

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A solution contains 5 grams of a pure drug in 100 milliliters of solution. How many grams of pure
Artyom0805 [142]

Answer:

4.25 grams

Step-by-step explanation:

100 / 5 = 20

85 / 20 = 4.25

4.25 grams of pure drug are in 85 milliliters of a solution.

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2 years ago
Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of n
Andrews [41]

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

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x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

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-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

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the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

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2 years ago
The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
Nostrana [21]

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(c) 8

Step-by-step explanation:

5 0
3 years ago
Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.
larisa [96]

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

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4 0
3 years ago
Read 2 more answers
B.<br> 7) 3z + 8 - 2 = -35
Kamila [148]

Answer:

z=9.7

Step-by-step explanation:

3z + 8 - 2 = -35

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divide 3 from both sides

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4 0
2 years ago
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