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3 years ago

Find the value of x if Sin80 = Cos( 90 -x)

Mathematics

1 answer:

natita [175]3 years ago

5 0

Answer:

Step-by-step explanation:

$\sin(80) = \cos(10) \\ 90 - x = 10 \\ x = 80$

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2 years ago

It is given that p varies inversely as q. If p = 12 and q = 45 find p, if q is 135.

alexgriva [62]

Answer:

$p =4$

Step-by-step explanation:

Given

Variation: Inversely

$p = 12$ when $q = 45$

Required

Determine p when $q = 135$

First, we need to determine the relationship between p and q

Since, it is an inverse variation.

The relationship is:

$p\ \alpha\ \frac{1}{q}$

Convert to an equation

$p= k *\frac{1}{q}$

$p= \frac{k}{q}$

Where k = constant of variation

Make k the subject

$k = p * q$

When $p = 12$ and $q = 45$

$k = 12 * 45$

$k = 540$

To solve for p when q = 135

Substitute 135 for q and 540 for k in $p= \frac{k}{q}$

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2 years ago

Which of the following describes sec(205°)?

kap26 [50]

This is the concept of trigonometry, to solve the question we proceed as follows;
sec(x)=1/cosx
thus;
sec(205)=1/cos205
=1/-0.9063
=-1.1034
this implies that:
sec(205)<-1

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