Answer:
Exercise 1:
base [b]=8cm
perpendicular [p]=6cm
hypotenuse [h]=?
<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
h²=p²+b²
h²=6²+8²
h=√100
h=10cm
<u>So</u><u> </u><u>another</u><u> </u><u>side's</u><u> </u><u>length</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>c</u><u>m</u>
<u>Exercise</u><u> </u><u>2</u><u>:</u>
base [b]=6m
perpendicular [p]=bm
hypotenuse [h]=8m
By using Pythagoras law
h²=p²+b²
8²=b²+6²
b²=8²-6²
b=√28=2√7 0r 5.29 or 5.3
So height of kite is√<u>28</u><u>o</u><u>r</u><u> </u><u>2√7 0r 5.29 or 5.3 m</u>
Step-by-step explanation:
[Note: thanks for translating]
m I think I'm not really sure sorry if I'm wrong.
Using a system of equations, Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of pounds of almonds.
- Variable y: Number of pounds of hazelnut.
Considering that he makes 12 pounds, at a price of 12 x 10.35 = $124.2, the equations are given as follows:
From the first equation, y = 12 - x, hence, replacing in the second:
10.8x + 10.2y = 124.2
10.8x + 10.2(12 - x) = 124.2
0.6x = 1.8
x = 1.8/0.6
x = 3
y = 12 - x = 12 - 3 = 9.
Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
More can be learned about a system of equations at brainly.com/question/24342899
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