Answer:
The value of 'h' in the equation= ![0.39](https://tex.z-dn.net/?f=0.39)
Step-by-step explanation:
Given Equation:
![2.1 + (-3.7h) + 1.9 h - 1.4](https://tex.z-dn.net/?f=2.1%20%2B%20%28-3.7h%29%20%2B%201.9%20h%20-%201.4)
Finding the Solution for 'h'
Equating the equation to zero.
![2.1 + (-3.7h) + 1.9h - 1.4=0](https://tex.z-dn.net/?f=2.1%20%2B%20%28-3.7h%29%20%2B%201.9h%20-%201.4%3D0)
![2.1 -3.7h + 1.9h - 1.4=0\\](https://tex.z-dn.net/?f=2.1%20-3.7h%20%2B%201.9h%20-%201.4%3D0%5C%5C)
Taking the terms of 'h' to one side and constants to the other side:
![-3.7h + 1.9h =1.4-2.1](https://tex.z-dn.net/?f=-3.7h%20%2B%201.9h%20%3D1.4-2.1)
![-1.8h=-0.7](https://tex.z-dn.net/?f=-1.8h%3D-0.7)
![h=\frac{0.7}{1.8} \\\\h=0.39](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B0.7%7D%7B1.8%7D%20%5C%5C%5C%5Ch%3D0.39)
The value of 'h' in the above equation= ![0.39](https://tex.z-dn.net/?f=0.39)
Answer:
B) -5 and 5
Step-by-step explanation:
Integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One integer is negative and the other is positive.
Answer:
The angles are 78° and 102°.
Step-by-step explanation:
Let the one angle is y and the other number if y + 24.
The sum of the angles of the linear pair is 180°.
So, according to the question
y + y + 24 = 180
2 y = 180 - 24
2 y = 156
y = 78°
So, one angle is 78° and the other is 78° + 24° = 102°.
1) 1/2 x (4)(3) = 1/2 x 12=6in2
2) 1/2 x (12)(6) = 1/2 x 36=18cm2
3) 1/2 x (9)(7) = 1/2 x 63=31.5ft2
4) 1/2 x (12)(12) = 1/2 x 144= 72cm2
5) 1/2 x (3)(2) = 1/2 x 6=3ft2
6) 1/2 x (20)(16) = 1/2 x 320=160cm2
7) 1/2 x (7)(15) = 1/2 x 105=52.5m2
8) 1/2 x (9)(9) = 1/2 x 81=40.5in2
9) 1/2 x (2)(2) = 1/2 x 4=2ft2
10) 1/2 x (6)(4) = 1/2 x 24=12ft2
11) 1/2 x (15)(10) = 1/2 x 150=75ft2
12) 1/2 x (3)(10) = 1/2 x 30=15m2
Answer:
Area of resulting triangle will be 900
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by
According to the above statement
therefore here in the question since area of original triangle was 36![cm^2](https://tex.z-dn.net/?f=cm%5E2)
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be
times of the original
that is 25 x 36 which gives 900 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
So area of resulting triangle will be 900 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)