Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Answer:
a = -1
Step-by-step explanation:
The general equation for a straight line is y = mx+c, where m is the gradient/ slope, so m = -5. The first thing we need to do is find c, which we do by plugging in the x and y values that we already know: y = 7 and x = -2
7 = -5*(-2) + c
7 = 10 + c
c = 7-10 = -3
Now, we have the general equation of y = -5x -3 and we can use this to find a.
We'll treat a as x and y will be equal to 2:
2 = -5a -3
5 = -5a (Divide both sides by 5)
-a = 1 (now by -1)
a = -1
Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
Answer:
$259.4
Step-by-step explanation:
$4150/2
$2075/2
$1037.5/2
$518.75/2= $259.375
round to nearest cent = $259.4
Answer:
30 i think
Step-by-step explanation:
