I need help solving angles
1 answer:
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See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
Answer:
- 47%
- 98%
- 25%
Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
Q2.
Q3.
There are a total of 30 students in the class. The equation used to solve the question is, × x = 24.
Step-by-step explanation:
Step 1; It is given that 24 students make up eight-tenths of the entire class. Assume the total number of students in class is x. So we have 24 will equal eight-tenths of x, as x is the total number of students.
The equation is × x = 24. Multiply both sides by
× x ×
= 24 ×
, The
and
cancel out each other on the LHS.
x = = 30.
So there are 30 students in the class in total i.e. x = 30.
Step 2; To draw the bar chart, measure the entire length of the bar and divide it by 10. Shade eight-tenths of the bar and name it students that are going to the trip = 24, the remaining two-tenths is named students not going = 6.