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2 years ago

Work out the area of this semi circle Take pi to be 3.142 and write down all the digits given by your calculator

Mathematics

1 answer:

Liula [17]2 years ago

5 0

Answer:

628.4cm²

Step-by-step explanation:

Find the diagram attached

Area of the semi circle = πr²/2

r is the radius = 10cm

Area of the semi circle = π(10)²/2

Area of the semi circle = 3.142(100)/2

Area of the semi circle = 314.2×2cm²

Area of the semi circle =628.4cm²

Hence the area of the semicircle is 628.4cm²

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Find a sum equivalent to the product shown.<br> 4(z + x)

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Answer:

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Step-by-step explanation:

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3 years ago

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A triangle has 3 angles and one has 35 degrees and the other has 35 degrees and 90 degrees. There is also a wide angle next to t

SIZIF [17.4K]

Since the triangle is isosceles, (it has 2 equal angles). We can easily figure out what the outside angles are because they are the same. When finding an outside angle, you subtract the inside angle next to it by 180 degrees for your answer.

180- 35= 145 degrees

The outside angles are equal to 145 degrees.

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3 years ago

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference,

Leya [2.2K]

Answer: $\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$

Step-by-step explanation:

Properties of logarithm :

$\log (ab)= \log a+\log b$
$\log(\dfrac{a}{b})=\log a-\log b$
$\log a^n= n\log a$

The given expression in terms of Natural log : $\ln (x^2 - 1)^{\frac{1}{3}}$

This will become $\dfrac{1}{3}\ln (x^2 - 1)$ [ By using Property (3)]

$=\dfrac{1}{3}\ln (x^2-1^2)$

$=\dfrac{1}{3}\ln ((x+1)(x-1))$ [ $\because a^2-b^2=(a+b)(a-b)$ ]

$=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$ [ By using Property (1)]

Hence, the simplified expression becomes $\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$ .

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3 years ago

Oscar is washing cars to earn extra money.Goal is to wash 45 cars. he can wash 5 cars per day. Which equation can he use to find

Rama09 [41]

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2 years ago

Determine the prime factorization of 36. 62 22 · 9 22 · 32 4 · 9

larisa [96]

ANSWER
The prime factorization of 36 is
${2}^{2} \times {3}^{2}$

EXPLANATION

We want to find the prime factorization of 36.

The prime numbers that are factors of 36 are
$2 \: and \: 3$

So we find the number of times these two prime factors will multiply to get 36.

Thus,

$36 = 2 \times 2 \times 3 \times 3$

Thus gives
$36 = {2}^{2} \times {3}^{2}$

3 0

3 years ago

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