Answer:
4: 19
5: 20
6: 21
Step-by-step explanation:
So it says to use the equation t=q+15, so 4+15 is 19, 5+15=20, 6+15=21
Answer:
No
Step-by-step explanation:
The ratio of length to width in the first is 2 : 1 while the ratio of the second is 23 : 19
Answer: 5x + 15
<u>Step-by-step explanation:</u>
Divide (x² + 5) into (x³ + 4x² + 5) to see what is needed to make a remainder of zero.
Let k represent the unknown number.
<u> x + 4 </u>
x² + 5 ) x³ + 4x² + 0x + 5+k
- <u>(x³ + 5x)</u>
4x² - 5x + 5+k
- <u>(4x² + 20)</u>
In order to have a remainder of zero, 4x² -5x + 5 + k must equal 4x² + 20
Solve for k:
4x² -5x + 5 + k = 4x² + 20
-5x + 5 + k = 20 <em>subtracted 4x² from both sides</em>
5 + k = 5x + 20 <em>added 5x to both sides</em>
k = 5x + 15 <em>subtracted 5 from both sides</em>
Answer:
From Pythagoras Theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides
C² = 12² + 35²
C= √12²+35²
C= 37in
Answer:
see below
Step-by-step explanation:
7. We can use the law of sines to solve
sin C sin B
-------- = ----------
AB AC
sin 45 sin 32
--------- = ----------
AB 6
Using cross products
6 sin 45 = AB sin 32
6 sin 45 / sin 32 = AB
8.00620 = AB
To the nearest tenth
8.0= AB
9. We can use the law of sines to solve
sin A sin B
-------- = ----------
CB AC
sin A sin 88
-------- = -----------
13 15
Using cross products
15 sin A = 13 sin 88
sin A = 13/15 sin 88
Taking the inverse sin of each side
sin^-1(sin A) = sin ^-1 (13/15 sin88)
A = 60.01298726
To the nearest tenth
A =60.0
