Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
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Answer:
um, I am confused on the answer options, but 3(p+5) is equivalent
Step-by-step explanation:
3p+15 is the same a 3(p+5) because in 3(p+5) we have to use the distribution property
So, it is 3p +15 here's a picture to explain it better
(3(p+45) would be too big of a number as you also use the distribution property and it would be 3p+135)
Answer:
susan´s age=4
jack´s age=31
Step-by-step explanation:
Hello!
To solve the first part of this problem we must propose a system of equations of 2 x2, that is to say two equations with two unknowns where
J = is the age of jack
S = susan's age
with the above the following two equations are inferred
ecuation 1
J=S+27
ecuation 2
(J+5)=4(s+5)
J=4S+20-5
J=4S+15
now to solve we subtract equation 1 from equation 2 as follows
J=4S + 15
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J=S + 27
___________
0=4S-S+15-27
0=3S-12

susan is 4 years old
now we use the ecuation number 1
J=S+27
J=4+27=31
jack is 31 years old
b.
Finally, to verify that the answer is correct, we replace the ages of jack and susan in equation 2.
(J+5)=4(s+5)
(31+5)=4(4+5)
36=36
as the equation is the same means that our answer is correct
Answer:
I'm so sorry, there is no equation to be seen in this question. If you could please repost the same question with the equations to solve, I't more than happy to answer it for you! I'll just edit my answer and solve it.