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3 years ago

Factorise X Squared +13+12

Mathematics

1 answer:

Norma-Jean [14]3 years ago

7 0

Answer:

$\left(x+1\right)\left(x+12\right)$

Step-by-step explanation:

$x^2+13x+12$

$x^2+12x+1x+12$

$x(x+12)+1(x+12)$

$\left(x+1\right)\left(x+12\right)$

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Murrr4er [49]

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3 years ago

Calculate volume of hemisphere with radius 3.2 cm

Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³

the volume of a hemisphere is half the volume of a sphere, so

V = $\frac{1}{2}$ × $\frac{4}{3}$ πr³ = $\frac{2}{3}$ πr³ , then

V = $\frac{2}{3}$ π × 3.2³

= $\frac{2}{3}$ π × 32.768

≈ 68.63 cm³ ( to 2 dec. places )

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2 years ago

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3 years ago

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

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3 years ago

A store buys an item for $10. To earn a PROFIT of $25, what percent does 13 po

LuckyWell [14K]

Answer:

150%

Step-by-step explanation:

25-10= 15

15/10 = 1.5

1.5 = 150%

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3 years ago