Answer:
The measures of the angles at its corners are 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle A
Applying the law of cosines


![cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5B215%5E%7B2%7D%2B125%5E%7B2%7D-185%5E%7B2%7D%5D%2F%282%28215%29%28125%29%29)


step 2
Find the measure of angle B
Applying the law of cosines


![cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5B215%5E%7B2%7D%2B185%5E%7B2%7D-125%5E%7B2%7D%5D%2F%282%28215%29%28185%29%29)


step 3
Find the measure of angle C
Applying the law of cosines


![cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))](https://tex.z-dn.net/?f=cos%28C%29%3D%20%5B125%5E%7B2%7D%2B185%5E%7B2%7D-215%5E%7B2%7D%5D%2F%282%28125%29%28185%29%29)


The expanded form for the number 165.038 is 100+60+5+0.03+0.008.
<h3>What is the expended form of decimal numbers?</h3>
Writing decimals in expanded form simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together. Let's look at an example: 2.435. In words, we would say this as two and four hundred thirty-five thousandths.
In the given question expended form 100+60+5+30+8 is wrong.
After decimal point the first digit is at the tenth place and second digit at the hundredth place and third is at the thousandth place and so on....
165.038 = 100+60+5+
+
+
= 100+60+5+0.03+0.008
Hence, The correct expended form of the given number is 100+60+5+0.03+0.008.
To learn more about expended form from the given link:
brainly.com/question/603715
#SPJ4
Answer:
5secs
Step-by-step explanation:
Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
Hence it will take the easte 5secs to hit the ground
Answer: (1, 4)
Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:
In order to eliminate a variable, the same variable in both equations must have the same coefficient.
(1) 3x+y=7
(2) 2x+5y=22
Multiply (1) by 2:
(3) 6x+2y=14
Multiply (2) by 3:
(4) 6x+15y=66
Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:
Subtract (4) from (3):
-13y=-52
y=4
Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:
3x+(4)=7
3x=3
x=1
Therefore, the point of intersection is (1, 4).
Hope this helps シ