Answer:
write your question properly...
Answer:
<h2> 18.3</h2>
Step-by-step explanation:
from cosines theorem:
t² = 11² + 14² - 2•11•14•cos87°
t² = 121 + 196 + 308•0.05236
t² = 333.12688
t = √333.12688
t = 18.2517... ≈ 18.3
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
brainly.com/question/7620723
#SPJ1
The dimensions of the paint tray are:
W = 10 in
L = 12 in
D = 5 cm (1in / 2.54 cm) = 1.97 in
The total volume of the paint tray is:
Vt = WLD
Vt = (10)(12)(1.97) = 236.22 in3
Converting the volume of the paint to in3
Vp = 1 gal (231 in3 / 1gal) = 231 in3
Getting the difference,
236.22 in3 - 231in3 = 5.22 in3
Since the volume of tray is greater than the volume of the paint, the answer is:
The paint will not fill the tray by 5.22 in3.
