asiateave11 asiateave11
  • 04-06-2021
  • Mathematics
contestada

In ΔPQR, q = 590 cm, r = 310 cm and ∠P=24°. Find the area of ΔPQR, to the nearest square centimeter.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 09-06-2021

Answer:

[tex]Area= 37193\ cm^2[/tex]

Step-by-step explanation:

Given

[tex]q = 590cm[/tex]

[tex]r = 310cm[/tex]

[tex]\angle P =24^o[/tex]

Required

The area of [tex]\triangle PQR[/tex]

This is calculated as:

[tex]Area= \frac{1}{2} * qr* \sin(P)[/tex]

So, we have:

[tex]Area= \frac{1}{2} * 590cm * 310cm* \sin(24^o)[/tex]

[tex]Area= \frac{1}{2} * 590cm * 310cm* 0.4067[/tex]

[tex]Area= 37192.715cm^2[/tex]

[tex]Area= 37193\ cm^2[/tex] ----- approximated

Answer Link

Otras preguntas

Find the following when a = -1, b = 2, c = -1/4 (4b - 3)/(2a) -1
checks and balances definition
the first time you refuse to submit to a breath ,urine , or blood test, your liscense will be suspendre for.
which city is the setting for the necklace
4x²+8x=1 by completing the square
what is affirmative action
drag each phrase to the appropriate bin depending on whether it describes the synthesis of the leading strand, the synthesis of the lagging strand, or the synth
Explain briefly why mosaics were a good artistic medium for conveying a spiritual message.
some developmentalists have considered the combination of race and gender as simultaneously affecting an adolescent’s self-esteem, thus coining the term
People who make judgments in lower federal courts are called justices. judges. officers. lawyers.