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kirza4 [7]
3 years ago
6

. CDEF is a trapezium

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

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Which describes how to calculate the range of this data set?
ELEN [110]

Answer:

B) Subtract 12-4 to calculate the range of this data set

5 0
3 years ago
Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to
REY [17]

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

Learn more about the ratio here:

brainly.com/question/13419413

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3 0
2 years ago
A conditional statement and it's_______ must always have the same truth value.
Romashka [77]
Answer: C) Contrapositive

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You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table. 
5 0
3 years ago
In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the probability that Shenice would first
jolli1 [7]

Answer: C.) 4/27

Step-by-step explanation:

Given that:

One out of three cards is a winner :

P(winning) = 1 / 3

Therefore, P(not winning) = P(losing) :

1 - P(winning) = 1 - 1/3 = 2/3

Probability that shenice will first win on her third try can be interpreted as:

1st try = lose, 2nd try: lose, 3rd try : win

P(losing) × p(losing) × p(winning)

(2/3) × (2/3) × (1/3)

4 / 27

Probability of first winning on third try = 4/27

7 0
3 years ago
Jean and Sarah are buying tubs of ice cream. 2 scoops of ice cream are twice the price of 1 scoop of ice cream. Jean buys 4 tubs
liberstina [14]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

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8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

3 0
3 years ago
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