9514 1404 393
Answer:
610 m²
Step-by-step explanation:
If we extend the horizontal line across the right-hand portion of the figure, then the figure is divided into two rectangles:
bottom: 5 m × 50 m = 250 m²
top: 18 m × 20 m = 360 m²
The sum of these areas is the shaded area:
shaded area = 250 m² +360 m² = 610 m²
Use the distributive property.
1/7(105 + r) = 20
15 + (1/7)r = 20
Then subtract each side of the equation by 15.
15 + (1/7)r = 20
(1/7)r = 5
Divide both sides by 1/7.
(1/7)r = 5
r = 35
So, the answer to this question is r is equal to 35.
Y = mx + b
slope(m) = 7
(5,30)...x = 5 and y = 30
now we sub and find b, the y int
30 = 7(5) + b
30 = 35 + b
30 - 35 = b
-5 = b
so ur equation is : y = 7x - 5 <==
Answer:
There are two choices for angle Y:
for
,
for
.
Step-by-step explanation:
There are mistakes in the statement, correct form is now described:
<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>
The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:
(1)
If we know that
,
and
, then we have the following second order polynomial:

(2)
By the Quadratic Formula we have the following result:

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:



1) 
![Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]](https://tex.z-dn.net/?f=Y%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B18%5E%7B2%7D%2B14%5E%7B2%7D-15.193%5E%7B2%7D%7D%7B2%5Ccdot%20%2818%29%5Ccdot%20%2814%29%7D%20%5Cright%5D)

2) 
![Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]](https://tex.z-dn.net/?f=Y%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B18%5E%7B2%7D%2B14%5E%7B2%7D-8.424%5E%7B2%7D%7D%7B2%5Ccdot%20%2818%29%5Ccdot%20%2814%29%7D%20%5Cright%5D)

There are two choices for angle Y:
for
,
for
.
<span> For this case we have the following number:
710200
We are going to decompose this number as the sum of three numbers:
</span>

<span> Let's now write each number:
70000: seven hundred thousand
10000: ten thousand
200: two hundred
Therefore, the complete expression is:
Seven hundred ten thousand two hundred
Answer: Seven hundred ten thousand two hundred</span>