Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
Answer:
r = 4/3
Step-by-step explanation:
-20 = -15r
Divide both sides by -15.
-20 / -15 = r
The negatives cancel, so
20 / 15 = r
Simplify by taking 5 out of the numerator and denominator. 20/5 = 4, 15/5 = 3.
4 / 3 = r
<u>So r = 4/3.</u>
Answer:
We simply wont know until we find out now wont we??
Step-by-step explanation:
My Mind
Answer:

factorise out a and x :

but from general factorization:

a » x
b » 2
therefore:

1.Simplify.
-2{x}^{2}-4x+13+12{x}^{2}+2x-25−2x2−4x+13+12x2+2x−25
2.Collect like terms.
(-2{x}^{2}+12{x}^{2})+(-4x+2x)+(13-25)(−2x2+12x2)+(−4x+2x)+(13−25)
3.Simplify.
10{x}^{2}-2x-1210x2−2x−12