Answer:
837150
/7
Step-by-step explanation:
459(
569
/7
)+997
=
830171
/7
+997
=
837150
/7
Given:
Equation of line
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as

Slope of line is



Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is


![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is
and it goes through (-21,2). So, the equation of line is






Therefore, the required equation in slope intercept form is
.
Answer:
80
Step-by-step explanation
Write down the equation: (15 / 100) * x = 12
Solve for x: x = 12 / (15 / 100)
x = (12 * 100) / 15
or, x = 80
Hope this helps!
Answer:
567 square yards
Step-by-step explanation:
The Area for 1 Triangular playground = 1/2 × Base × Height
The base of the triangle is 18 yards. The height of the triangle is 21 yards.
Hence:
= 1/2 × 18 yards × 21 yards
= 189 square yards
The area of the Triangular 3 playground is given as:
= 3 × 189 square yards
= 567 square yards
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B =
=
=
, thus
B =
(
) ≈ 66.42° ( to the nearest hundredth )