rrd9smgtpa rrd9smgtpa
  • 01-03-2021
  • Mathematics
contestada

DEF, find the length of d, to the nearest tenth, given that ∠D=110o, e = 10cm and f = 14cm.

Respuesta :

reeserl reeserl
  • 01-03-2021

Answer:

d = 19.8 cm

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]

    = 100 + 196 - 280 cos 110

    = 296 - (-95.765640)

    = 391.765640

[tex]d = \sqrt{391.7656401}[/tex]

  d = 19.8 cm

Answer Link

Otras preguntas

explain in steps how to graph this linear inequality 2x+3y > -2
What's the other word stubborn; inflexible
Liz wants to drink 1.5 litres of water each day. She buys the water in packs of 6 bottles. Each bottle contains 0.5 litres of water. How many packs of water do
Liz wants to drink 1.5 litres of water each day. She buys the water in packs of 6 bottles. Each bottle contains 0.5 litres of water. How many packs of water do
A sound wave of 70 cm travels 840 m in 2.5 sec. What is the velocity and frequency of sound?
What was the major purpose of the Truman Doctrine?
What's the other term for: lacking respect; scornful
How do we use the Pythagoras theorem in "everyday life".
What's the term for: unwilling to bend; unyielding
Molecular scientists can read the DNA code and compare the DNA of different organisms. This concept is used in molecular clocks to determine which of the follow