Answer:
∠ A ≈ 48°
Step-by-step explanation:
Using the Cosine rule to find an angle
cosA = 
with a = 10, b = 13 and c = 11
cosA = 
= 
=
, thus
A =
(
) ≈ 48° ( to the nearest degree )
The two angles are 30 degrees and 60 degrees
<em><u>Solution:</u></em>
Given that,
The measures of two complementary angles have a ratio of 1 : 2
Let the one of angle be 1x
Let the other angle be 2x
We know that,
Sum of two complementary angles is 90 degrees
Therefore,
1x + 2x = 90
3x = 90
Divide both sides by 3
x = 30
<em><u>Therefore, measure of each angles is:</u></em>
One angle = 1x = 30
Other angle = 2x = 2(30) = 60
Thus the two angles are 30 degrees and 60 degrees
Answer:
78 ml of 7% vinegar and 312 ml of 12% vinegar.
Step-by-step explanation:
Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.
We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:


We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be
.
The second brand contains 12 vinegar, so amount of vinegar in y ml would be
.
We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.
Upon substituting
in equation (1), we will get:


Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.
Answer:
The coordinates are (3,5)
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
x/5+7=16
times 5 both sides
x + 7 = 80
-7 -7
x=73