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3 years ago

Cos x = sin 34° What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

Answer:

x = 56 degrees.

Step-by-step explanation:

Use the identity:

sin x = cos (90 - x)

so sin 34 = cos (90 - 34) = cos 56.

vredina [299]3 years ago

3 0

$\bf \textit{Cofunction Identities} \\\\ sin\left(90^o-\theta\right)=cos(\theta) \qquad cos\left(90^o-\theta\right)=sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(x)=\stackrel{90-56}{sin(\stackrel{\downarrow }{34^o})}\implies cos(\stackrel{\downarrow }{x})=sin(90^o-\stackrel{\downarrow }{56^o})\implies cos(56^o)$

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How many times greater is the volume of the large bowl than the volume of the small bowl

arsen [322]

Answer: it depends on how big each bowl could be. depending on how big the diameter of the bowl is, we can figure out what the radius is, and then we could multiply that by pi squared, which gets you the area of the circle. Then we could figure out how much larger the large bowl is than the smaller bowl with the diameter knowledge that we gained.

So, for example, there was a bowl like this: (|||) (imagine that is a full circle) and that would be... about 9 in. across. imagine the smaller bowl is about 3in. across. then, we could figure out the radius by finding the middle, and expand the middle to the edge of the bowl. then, whatever the radius is, we could multiply that by 8, and get the total diameter of the bowl in inches. with that knowledge, we should be able to know the area of the bowl, by getting the diameter, and multiplying it by pi squared which equals 9.42, and then you multiply that by the radius and the diameter to get the area of the bowl.

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3 years ago

8/9 divided by 4/9 what is it?

Trava [24]

Answer:

Step-by-step explanation:

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3 years ago

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Multiply. 27.4 x 0.001 =

dem82 [27]

Answer:

0.0274

Step-by-step explanation:

Starting with 27.4, move the decimal point 3 digits to the left:

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3 years ago

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Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

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3 years ago

Mark and Tony share a sum of money in the ratio 3:5. What fraction of the money did Tony ratio receive?

gladu [14]

Answer:

Part A is 3/8 of the whole
Part B is 5/8 of the whole

Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 5 = 8

Part A = 3 and Part B = 5 are numerators for each fraction.

The fractions are then:
3/8 and 5/8

Meaning:
Part A is 3/8 of the whole
Part B is 5/8 of the whole

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4 years ago