Answer:
45.55 meters
Step-by-step explanation:
I'm guessing she recorded above her height, right?
To find the height of the dam, use the tangent ratio:
The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:
Solve for x. Multiply both sides by 90:
Insert equation into a calculator:
Now add Scarlett's height:
The dam is 45.55 meters tall.
<em>Finito</em> :D
Dimensions of the hallway mural:
L = x + 6, W = x - 2.
An expression is:
A ( hallway mural ) = ( x + 6 ) · ( x - 2 )
If x = 8 ft ( length of each side of the classroom ):
A ( h. m . ) = ( 8 + 6 ) · ( 8 - 2 ) =
= 14 · 6 = 84 ft²
The area of the hallway mural is 84 ft².
Answer:
The total cost of a bicycle after the tax = $900.8
Step-by-step explanation:
Given
- The cost of a bicycle before tax = 837.95 (let say in $)
To determine
The total cost of the bicycle with a sales tax include
The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.
Thus,
Tax amount = 7.5% × 837.95
= 0.075 × 837.95
= $62.85
Thus, the tax amount is: $62.85
Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.
Therefore,
The total cost of a bicycle after the tax = $62.85 + $837.95
= $900.8
Hence, the total cost of a bicycle after the tax = $900.8
Answer:
x = 72 / 85
Step-by-step explanation:
x -6/7=-x/84
x + x/84 = 6/7
84/84x + 1/84x = (12*6) / (12*7)
85/84x = ( 72 ) / ( 84 )
85/84x = 72 / 84
Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:
84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }
{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )
(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)
x = 6048 / 7140
x = 72 / 85
Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
- Divide the shape into two smaller "known" shapes (Refer to image).
- Determine the area of those "known" shapes.
- Add the area of the known shapes to obtain the area of the figure.
<u>Determining the area of shape 1 (Rectangle 1):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
<u>Determining the area of shape 2 (Rectangle 2):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
<u>Determining the area of the figure:</u>
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
