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2 years ago

Find the length of a square that is equal in area to a rectangle measuring 45cm by 5 cm

Mathematics

1 answer:

hammer [34]2 years ago

8 0

Answer:

Step-by-step explanation:

Find the length of a square that is equal in area to a rectangle measuring 45cm by 5 cm

Rectangle Area = L x W

45 x 5 = 225 cm²

length of the square = √A

√225 = 15 cm

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fenix001 [56]

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3 years ago

What is the factored form of k² + kf – 2f²?

ella [17]

You can factor this by grouping! We will need to group the trinomial into the expression (k^2 + k)(-2f^2 + f). Now factor from THOSE. k(k + 1)f(-2f + 1).

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3 years ago

Read 2 more answers

The Panthers scored 13 more points than the Giants. The total of their scores was 47. How many points did each team score?

Licemer1 [7]

Answer: 34 panthers 13 Giants

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3 years ago

laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

Use the Binomial Theorem

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

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2 years ago

Calculate the area of this trapezium. 7.9 cm 6.2 cm 10.8 cm

cestrela7 [59]

Answer:

A = 57.97 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 6.2, a = 10.8 and b = 7.9, thus

A = $\frac{1}{2}$ × 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²

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3 years ago