Answer:
tan ∅ = 24 / 7
Step-by-step explanation:
cos ∅ = 7 / 25
sin^2 ∅ + cos^2 ∅ = 1
sin^2 ∅ + (7 / 25)^2 = 1
sin^2 ∅ = 1 - 49 / 625
sin^2 ∅ = 625 - 49 / 625
sin^2 ∅ = 576 / 625
sin ∅ = root 576 / 625
sin ∅ = 24 / 25
tan ∅ = sin ∅ / cos ∅
tan ∅ = 24/25 / 7/25
Therefore, tan ∅ = 24 / 7
OPTION 4. 24 / 7
Answer: (4x−9)(3x+4) D
Step-by-step explanation:
Factor 12x2−11x−36
12x2−11x−36
=(4x−9)(3x+4)
Try by dividing this shape into three different squares then find the area of each shape then add them together.
Answer:
x = 9.818
x≈10
The number of banners that can be made are 10
Step-by-step explanation:
We can use the knowledge of proportion to solve this.
First we need to convert yard to feet.
1 yard = 3 foot
4 1/2 yard = y
cross-multiply
y = 4 1/2 × 3
=9/2 × 3
y = 
feet
This implies 4 1/2 yards = feet
Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.
1 3/8 feet = 1 banner
feets = x
cross multiply
1 3/8 × x =
=
cross-multiply
22x = 216
Divide both-side of the equation by 22
22x/22 = 216/22
x = 9.818
x≈10
The number of banners that can be made are 10
Here I copy the steps and indicate where the error is.
Square root of negative 2x plus 1 − 3 = x=> <span>this is the starting equation
</span>
√[ - 2x + 1] - 3 = x
Square root of negative 2x plus 1 − 3 + 3 = x + 3 in this step she added 3 to each side, which is fine
<span> Square root
of negative 2x plus 1 = x + 3 <span>she made the addtions => fine</span></span>
Square root of negative 2x plus 1 − 1 = x + 3 – 1 due to <span>plus 1 in inside the square root, this step will not help</span>
<span> Square root
of negative 2 x = x + 2 <span>wrong! she cannot simplify - 1 that is out of the square root with +1 that is inside the square root
</span></span>
<span>Then, from here on all is wrong, but she made other additional mistakes.</span>
(Square root of negative 2 x)2 = (x − 4)2 −2x <span> the right side should be (x+2)^2 which is x^2 + 4x +4 not (x-4)^2 - 2x</span>
Later she made a mistake changing the sign of -8x to +8x
Those are the mistakes. Finally, the global error is that she should verify whether the found values satisfied the original equation.
