Answer:
39.6
Step-by-step explanation:
Given in the right angled triangle above are:
Ѳ = 49°,
Adjacent length = 26
Hypotenuse length = x
To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length
Thus,

Multiply both sides by x



Divide both sides by 0.6561 to find x




x = 39.6 (to nearest tenth)
Answer:
Is this the exact persson and question I refused to do?
Step-by-step explanation:
Add the ratios together: 2 + 3 +4 = 9
Divide the total tips by 9:
77.40 / 9 = 8.60
Multiply each portion of the ratio by 8.60:
2 x 8.60 = 17.20
3 x 8.60 = 25.80
4 x 8.60 = 34.40
The ratios are in order of the people:
Paul got 17.20
Colin got 25.80
Brian got 34.40
Brian got 34.40 - 17.20 = 17.20 more than Paul
Answer:
or 
Step-by-step explanation:
The question is
Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)
step 1
Find the slope of the given line
we have

isolate the variable y


The slope of the given line is m=-5/8
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the parallel line to given line is m=-5/8
step 3
Find the equation of the line into slope intercept form
The equation of the line into slope intercept form is equal to

we have
m=-5/8 and point (4,5)
substitute and solve for b



substitute

or

Answer:
54 ft^2
(54 in green box; 2 in grey box)
Step-by-step explanation:
We have 2 similar triangles, ABC and DEF.
The area of triangle DEF is given as 6 sq ft.
Side BC of triangle ABC measures 12 ft.
The corresponding side to BC in triangle DEF is EF. It measures 4 ft.
That gives us a scale factor from triangle DEF to triangle ABC.
<em>To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.</em>
scale factor = BC/EF = (12 ft)/(4 ft) = 3
The scale factor of side lengths is 3.
The ratio of the areas is the square of the scale factor.
ratio of areas = 3^2 = 9
Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).
area of triangle ABC = 9 * (area of triangle DEF)
area of triangle ABC = 9 * (6 sq ft)
area of triangle ABC = 54 sq ft
Answer: 54 ft^2
(54 in green box; 2 in grey box)