Answer:
To find the hypotenuse you need to use the Pythagorean Theorem which is
a^2+b^2=c^2
Where a and b are your two sides and c is your diagonal line
So you want to plug the numbers in for the right variables
5^2+12^2=c^2
We want to find what c equals so we are first gonna simplify
25+144=c^2
we take 5^2=25, and 12^2=144, then we add them together 25+144=169
169=c^2 now you want to take 169 and square root it because the opposite of squaring is taking it by the root square
The square root of 169=13
Your hypotenuse is 13
Hope this helps ;)
You know that if you are multiplying a number by 5, and multiplying the same number by 6, 6 is going to be bigger
Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h
56.25=3.75*7.5*h
h=(56.25)/(3.75*7.5)=2
So that the missing dimension (height) is 2 ft
75d+8w+25
Part A)
75 and 8 are coefficients because coefficients are the numbers before and multiplied to the variable.
d and w are variables because variables aresymbols to represent the unknown numbers.
25 is the constant because constants are not affected by the variable.
Part B)
75d+8w+25
75(5)+8(48)+25 replace the variables
375+384+25 multiply
784 add
Part C)
No, because his stipend is a constant, and constants are not affected by the variable.
Hello :
v . w = <span>| | v | | × </span><span>| | w | | cos(</span><span>θ) ....(1)
v(2,0,1) w(0,1,-3)
</span>v . w = (2)(0)+(0)(1)+(1)(-3) = - 3
| | v | | = √((2)²+(0)²+(1)²) = <span>√5
</span>| | w | = √((0)²+(1)²+(-3)²) = √10
by (1) :
cos(θ) = (v . w ) / | | v | | × | | w | |
cos(θ) = = - 3/√50
θ =..... calculate by 2ind function ( calculator)
