Answer:
Step-by-step explanation:
<em>See attached diagram (not to scale). </em>
<em>All given details reflected.</em>
a) <u>Find the measure of XZ using the law of cosines:</u>
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) <u>Now using the law of sines find the measure of angle X:</u>
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
<u>The bearing of Z from X is:</u>
Answer:
The value of a₂₇ is 294
Step-by-step explanation:
a₁₃ = 254
a₃₃ = 654
Now,
a₁₃ = 254 can be written as
a + 12d = 254 ...(1) and
a₃₃ = 654 can be written as
a + 32d = 654 ...(2)
Now, from equation (2) we get,
a + 32d = 654
a + 12d + 20d = 654
254 + 20d = 654 (.°. a + 12d = 254)
20d = 654 - 254
20d = 400
d = 400 ÷ 20
d = 20
Now, for the value of a put the value of d = 20 in equation (1)
a + 12d = 254
a + 12(20) = 254
a + 240 = 254
a = 254 - 240
a = 14
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 14 + 9(20)
a₂₇ = 14 + 180
a₂₇ = 294
Thus, The value of a₂₇ is 294
<u>-TheUnknownScientist</u>
Answer:
(a+3)(5a+14)
Step-by-step explanation:
Factor the polynomial.
(a+3)(5a+14)
Literally you just have to take the numbers and multiply by two. So like for #1 do 29 x 2 and then find that answer and then on a separate line write 6 x 2 and then when u have answers to those equations add them up and get ur final answer which should be 70
Answer:
20:1
Step-by-step explanation:
every 20 dollar she spends she save 1 dollar