Answer:
Area 36 square units; formula area = 1/2 x base x height
Step-by-step explanation:
Area = 1/2 x base x height
You're not given the base or the height, but this is an isosceles rt. triangle and the base and height are both opposite equal angles (45 degrees) so those two sides are equal to each other, too.
Lets say the base length is b. That is the height length too, then
From Pythagoras, we have
b² + b² = 12², so 2b² = 12² = 144.
So b² = 72.
So base = √72. But the height is the same length, so height = √72.
So area = 1/2 x base x height = 1/2 x √72 x √72 = 1/2 x 72 = 36 square units
Answer: the answer is B: 24ft
Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.
Answer:
6/35
Step-by-step explanation:
After the first month, there are 4/7 remaining claims left to be paid. (1 -3/7 = 4/7)
In the second month, 2/5 of this 4/7 are paid. So we just need to work out
" 3/4 cups " is equal to exactly three fourths of one cup, or 0.75 cup .
Hello.
This is how I would work out this question, please let me know if there are any flaws.
Write an equation:
9x+24+30x=180
We know that a straight line is an 180 degree angle, so both angles should have a sum of 180.
Now, we solve algebraically.
9x+24+30x=180
39x+24=180
39x+24-24=180-24
39x=156
39x/39=156/39
x= 4
Substitute 4 for x in each expression.
9x+24
9(4)+24
36+24
60
So, the first angle is 60 degrees.
30x
30(4)
120
The second angle is 120 degrees.
Angle AEB is opposite angle DEC, so that means it has the same value of 60 degrees.
∴The answer is 60 degrees.
Please check it over and try other ways of solving to make sure I have the correct answer. I tried my best, hope this helps!