T= Tuesdays Temp
W = Wednesdays Temp
Wednesday was 8 deg more (+ 8 deg) than a third of Tuesday's temp (
W=
Answer:
a)
b)
c)
d)
Step-by-step explanation:
We will use the following trigonometric identities
.
Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that
which implies that . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then
b)Recall that , then using the identity from above, we have that
c) Recall that . Then,
d) Recall that and . Then
<u>Question Completion</u>
How deep is the cake batter?
Answer:
3.3 cm
Step-by-step explanation:
Given that the cake pan is a right rectangular prism 20cm by 28cm.
Now, Whitney puts of batter into the pan, we are to determine how deep the batter is.
Volume of a rectangular prism=Length X Width X Height
Volume of the batter = 20 X 28 X Height
1848 =560 X Height
Height =1848/560
Height=3.3cm
Therefore, the cake batter is 3.3 cm deep.
1) We know, Circumference = 2πr
If radius is tripled, then, C' = 2π(3r) = 6πr = 3 * 2πr = 3 * C
So, Circumference will also get increased to it's triple value
2) We know, Area = πr²
If radius is doubled, π(2r)² = 4π²
So, Area will increase 4 times to it's intial value
Hope this helps!
Answer:
$787
Step-by-step explanation:
In terms of interest
To find the multiplier using '7% more' continues as follows
100% + 7% = 107%
107/100 = 1.07 (multiplier)
Add the ten years as a power to the multiplier
1.07^10
And multiply this by $400
400 x 1.07^10 = 786.860542916
To the nearest dollar = $787