<span>5t=3b+660....and ... 2t+5b=450
from the first we can see that t=(3b+660)/5 and using this value in the second...
(6b+1320)/5+5b=450 making all have common denominator..
6b+1320+25b=2250
31b=930
b=30...and since 2t+5b=450
t=150</span>
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = ![\frac{AB}{PB}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BPB%7D)
![\frac{1}{\sqrt{3}}=\frac{1000}{d}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cfrac%7B1000%7D%7Bd%7D)
d = 1000√3
d = 1732.05
d ≈ 1732 ft
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
<h2>
<em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>
Answer:
AM=6
Step-by-step explanation:
Parallelogram has two equal parallel sides
This implies that PM parallel and equal to ON
Also, MN is parallel and equal to OP
Since the diagonals bisect each other it implies that AM=AO and NP=AP
From the question, AO=6
Therefore,AM=6
Simple....
you have:
![5 \frac{2}{5} +2 \frac{10}{13}](https://tex.z-dn.net/?f=5%20%5Cfrac%7B2%7D%7B5%7D%20%2B2%20%5Cfrac%7B10%7D%7B13%7D%20)
to convert them into
improper fractions:
1.) Take whole number*denominator
(5*5=25)
2.) Take what you got...and
add the numerator
(25+2=27)
3.) Use the original denominator
![\frac{27}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B5%7D%20)
Do the same to the other one...
2*13=26
26+10=36
![\frac{36}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7B36%7D%7B13%7D%20)
Now..add...
![\frac{27}{5} + \frac{36}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B5%7D%20%2B%20%5Cfrac%7B36%7D%7B13%7D%20)
But..you need a common denominator!
![\frac{27}{5} * \frac{13}{13}= \frac{351}{65}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B5%7D%20%2A%20%5Cfrac%7B13%7D%7B13%7D%3D%20%5Cfrac%7B351%7D%7B65%7D%20%20)
![\frac{36}{13} * \frac{5}{5} = \frac{180}{65}](https://tex.z-dn.net/?f=%20%5Cfrac%7B36%7D%7B13%7D%20%2A%20%5Cfrac%7B5%7D%7B5%7D%20%3D%20%5Cfrac%7B180%7D%7B65%7D%20)
Now you can add!
![\frac{351}{65} + \frac{180}{65} = \frac{531}{65}](https://tex.z-dn.net/?f=%20%5Cfrac%7B351%7D%7B65%7D%20%2B%20%5Cfrac%7B180%7D%7B65%7D%20%3D%20%5Cfrac%7B531%7D%7B65%7D%20)
When simplified....
![8 \frac{11}{65}](https://tex.z-dn.net/?f=8%20%5Cfrac%7B11%7D%7B65%7D%20)
Thus, your answer.