Can you help, please!!!

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

25 is 28.5

Step-by-step explanation:

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Multiply the numbers and simplify the answer: 3 x 1- 3/4

madam [21]

$\underbrace{3\times1}_{first}-\frac{3}{4}=3-\frac{3}{4}=2\frac{1}{4}$

$3\times1\frac{3}{4}=3\times\frac{1\times4+3}{4}=3\times\frac{4+3}{4}=\frac{3}{1}\times\frac{7}{4}=\frac{3\times7}{4}=\frac{21}{4}=\frac{20+1}{4}=\frac{20}{4}+\frac{1}{4}\\\center\boxed{=5\frac{1}{4}}$

5 0

3 years ago

What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.

emmasim [6.3K]

Answer:

$\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

geometry
PEMDAS

<h3>tips and formulas:</h3>

$s = \frac{\pi {r} \theta}{180}$

<h3>given:</h3>

r=10
$\theta = 60$

<h3>let's solve:</h3>

$\sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180}$
$\sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3}$
$\sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3}$
$\sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47$