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4 years ago

Any suggestions or answers

Mathematics

1 answer:

Sati [7]4 years ago

7 0

Answer:

$x=81\degree$

$y=99\degree$

$z=129\degree$

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

$\implies 51\degree+48\degree+x=180\degree$

$\implies 99\degree+x=180\degree$

$\implies x=180\degree-99\degree$

$\implies x=81\degree$

Use the exterior angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

$y=51\degree+48\degree=99\degree$

The sum of angles on a straight line is 180 degrees.

$\implies z+51\degree=180\degree$

$\implies z=180\degree-51\degree$

$\implies z=129\degree$

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Answer:

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Step-by-step explanation:

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3 years ago

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If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

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3 years ago

PLZ HELP ASAP! IM FAILING SO PLEASEEEE

UkoKoshka [18]

Answer: B

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3 years ago

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

AnnyKZ [126]

Answer:

Paasche's Index= 168.63= 169

Step-by-step explanation:

Products

Base-Period Current Period

Quantities Mean Shipping Quantities Mean Shipping

(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)

A 1,500 10.50 4000 15.90

B 5,000 16.25 3000 33.00

C 6,500 12.20 8000 18.40

D 2,500 20.00 3000 35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product pn.qn po.qn

A 15.90* 4000 10.50* 4000

= 63600 =42000

B 33.00*3000 16.25 * 3000

= 99000 = 48750

C 18.40* 8000 12.20 *8000

=147200 =97600

D 35.50* 3000 20.00*3000

=106500 60,000 

∑ 416300 248350

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169

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Bas_tet [7]

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3 years ago