If you look carefully, x + 70° = 180°.
From which we know x = 110.
(3y + 11) is in an exact opposite position to x, which means it is the same with x.
3y +11 = 110
-11 on both sides.
3y = 99
divide by 3
y = 33
The question is not correctly written.
Correct question:
A rectangle has the height of 2 and a width of 5x²-2x+3. Express the area of the entire rectangle. The expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Formula to find the area of a rectangle is given as
Area of a rectangle = Length × Width
In the question we were given:
Length ( also known as height) = 2
Width = 5x²-2x + 3
We would use the distributive property of an algebraic equation to find the expression of the area of the rectangle.
Distributive property = (a(b+c) = ab + ac)
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
We were asked to expand the expression.
The expansion of the expression of the Area of the rectangle
= 10x² - 4x + 6 square units
Answer:
(a)10 ft/sec
(b)0.12 rad/sec
(c)
Step-by-step explanation:
Using Pythagoras Theorem
The distance A is always constant.
Taking derivatives with respect to time, we have:
(a) When C=25 feet and A=15 feet
dC/dt= -4 ft/sec
Therefore, the rate (dB/dt) at which the distance from the fish to the dock getting shorter is: 10 ft/sec
(b)
Using Trigonometry
When A = 15, C=25 feet
Therefore:
The angle of elevation (the angle formed between the line and the water) is changing at a rate of 12 rad/sec.
(c)
Area of the Triangle,
Therefore, the rate at which the area of the right triangle is changing is:
The area of the right triangle is decreasing at a rate of 75 square feet per second.
Answer:
[-4, infinity)
Step-by-step explanation:
the smallest possibly for a is -2 and if you add 2 to 12 you get b=14 so the smallest out can be is 14 and it can be any number higher because it with still be greater
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
I solved C first using:
30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)
-
I solved A by looking across from C.
Angles on opposite sides should mirror each other but A includes 38* + C
Just by doing 112 + 38 you get 150.
-
I solved D by looking at 30*, alternative interior angles are the same so D is 30*.
-
I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.
Interior angles of a triangle should all add up to 180,
112 + 30 + B = 180
From this I got that B was 38.
Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.
I suggest reviewing this angles sheet if you're ever stuck in the future.