Answer:
Surface area = 969mm squared
Step-by-step explanation
Front: 170mm
Back: 170mm
Right side: 170mm
Left side: 170 mm
Bottom: 289mm
Total: 969mm
Hope this helps!
Answer:
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
c² = a² + b²
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
ΔABC is a right angle triangle too. Therefore,
AB² + BC² = AC²
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
Step-by-step explanation:
Answer:
139
Step-by-step explanation:
180-41=139
Now you have
<u />
<u>(.15)0.5 lb peanuts</u> = <u>0.075 lb peanuts</u>
0.5 lb nuts 0.5 lb nuts
for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?
<u>0.075 lb peanuts + 0.75x lb peanuts</u><em> = <u /></em><u> 50 </u><u>
</u>0.5 lb nuts + x lb nuts 100
cross multiply
(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts
The answer is b. Thank you
