Answer: 214.8
Step-by-step explanation:
First move the decimal to the right, in this case 8.95 = 895., then multiply the 24 by 895. to get 21480., you then move the decimal to the left and you get 214.80 or 214.8.
Answer:
Option (2)
Step-by-step explanation:
The angle opposite the shortest side is the smallest and the angle opposite the longest side is the largest.
Since m is greater than or equal to 6, we know that:
2m+3 > m+8 > m-3
Answer:
3/4 gallons of blueberries
Step-by-step explanation:
we know that
1/2 gallon of blueberries filled the container 2/3 full
so
using proportion
Find out how many gallons of blueberries does it take to fill Sam’s container completely full
Remember that
completely full (100% filled) is the same that the fraction 3/3 or 1
so
Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
X would equal 70°.
For every triangle, all interior angles add up to 180°. This means that we can add together 42 and 68 to get 110°. Because the sum of all interior angles in a triangle must be 180°, we subtract 110 from 180 to see how much more we need, which gets us 70°.
I hope this helps!
