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2 years ago

Find the value of X round your number to the nearest tenths Explain it please

Mathematics

1 answer:

Anarel [89]2 years ago

8 0

In this case, we must use trigonometry to find the value of x:

$tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24$

Thus the value of x rounded to the nearest tenth is 8.2

Hope that helps!

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Nancy has to cut out circles of diameter 1 3/ 7 cm from an aluminium strip of dimensions 7 1/ 7 cm by 1 3/ 7 cm . How many full

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Answer:

Nancy can cut 6 full circles

Step-by-step explanation:

Length of aluminium strip = $7 \frac{1}{7} cm$

Length of aluminium strip = $\frac{50}{7} cm$

Breadth of aluminium strip = $1 \frac{3}{7} cm$

Breadth of aluminium strip = $\frac{10}{7} cm$

Area of strip = $Length \times Breadth = \frac{50}{7} \times \frac{10}{7} =\frac{500}{49}$

Diameter of circle = $1 \frac{3}{7} cm$

Diameter of circle = $\frac{10}{7} cm$

Radius of circle = $\frac{10}{ 7 \times 2}=\frac{10}{14} cm$

Area of circle = $\pi r^2 = \frac{22}{7} \times (\frac{10}{14})^2=\frac{550}{343} cm^2$

No. of circles can be cut = $\frac{\frac{500}{49}}{\frac{550}{343}}=6.3636$

So,Nancy can cut 6 full circles

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3 years ago

Plzzz help. Solve for x. Your answer must be simplified. 2x<15

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For all values of x less than 7.5 the above inequality satisfies , i.e $x$

Step-by-step explanation:

Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠.

$7 \textgreater x$ reads as '7 is greater than x' (or ' x is less than 7', reading from right to left).

$x \leq -4$ reads as ' x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left).

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Here , we have

$\begin{aligned}&2 x$ { Dividing both sides by 2. }

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