____________________________________________________
Answer:
Your answer would be 4.8 cm
____________________________________________________
Step-by-step explanation:
To solve this, you would want to use the Pythagorean Theorem. I will attach a picture below to show you the exact side you are trying to find in this problem.
Pythagorean Theorem:
a² + b² = c²
To solve this, we would have to plug the numbers (0.7, 2.5) in to the right spot in the Pythagorean theorem. We are trying to find one of the side lengths. 0.7 is one of the side lengths, while 2.5 would be our hypotenuse
Your equation should look like this:
0.7² + b² = 2.5²
Now we solve.
0.7² + b² = 2.5²
↓ ↓
0.49 + b² = 6.25
-0.49 -0.49
↓
b² = 5.76
Now, we have to use the square root in order to remove the exponent.
√b² = √5.76
↓
b = 2.4
Now, we would have to multiply 2.4 by 2
2.4 × 2 = 4.8
4.8 cm is your FINAL answer
____________________________________________________
I’m not too sure to be honest with you.
john: 56
Mary: 24
(Tbh I'm probably really wrong, I'm so sorry )
Answer: A = ≈28.55 cm²
Step-by-step explanation:
It is drawn as if it should be a triangle minus a rectangle with an area of
½(10)(13) - (7)(6) = 23 cm²
However it is not to scale.
The angle on the right side is
θ = arctan10/13 = 37.56859...°
Meaning the right triangle has a height of
h = 4tan37.56859 = 3.07692 cm
So the right triangle has an area of
Ar = ½(3.07692)(4) = 6.15384... cm²
The left hand side consists of a triangle over a rectangle
The height of the triangle is 4, the base is is 4/tan37.56859 = 5.2 cm
so the left area is
(2)(6) + ½(5.2)(4) = 22.4 cm²
So the sum of the areas of the two enclosed shapes is
A = 22.4 + 6.15384... = 28.55384... ≈28.55 cm²
I rearranged the Pythagorean Theorem so I wouldn’t have to always isolate. Also Q1 couldn’t fit in the picture so I’ll write the solution here.
A = bh/2
= (5.8)(15.2)/2
= 44.08m2
Hope this helps :)