Answer:
y = 100°
Step-by-step explanation:
I can't see the full question, but I'm guessing you need to find the measure of angle y.
The total angle sum of a polygon can be calculated with the formula
T = 180°(n - 2) where T is the total angle measure, and n i the number of sides.
For our shape, there are 4 sides, so n = 4. Plug that in and simplify...
T = 180°(4 - 2)
T = 180°(2)
T = 360°
We are given 3 of the angles, so angle y is
y = 360 - 107 - 104 - 49
y = 100°
Answer:
Step-by-step explanation:
given a point the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form , the y intercept is b and the x intercept is .
So, in our case, the y intercept is and the x intercept is .
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph . Which means that
The slope of the tangent line is given by the derivative of the function evaluated at . Using the properties of derivatives, we get
. So evaluated at we get
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height and base . So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
2/3* 4/5 = 8/15
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.
Given:
- One-fifth (1/5) of the playground is used for students to sit and read
- 2/3 is used for playing soccer
- The rest of the playground is used for playing basketball
So assume that the the playground is divided into 5 equal part
=> 1 part is used for students to sit and read or (1/5)
=> the remaining equal part is 4 or (4/5)
Because 2/3 of the remaining part is used for playing soccer
=> the equation represents the part of the playground used for soccer is:
2/3 of 4/5
= 2/3* 4/5
= 8/15
Answer:
Step-by-step explanation:
We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.
Let us convert one and one tenth feet into decimal.
Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:
Therefore, the volume of the cat box is 3.53 cubic feet.
Answer: x = 12
Step-By-Step: 180 - 100 = 80
Step-By-Step: 80 - 12 = 68
Step-By-Step: 68 is angle ( X + 12)
68 + 12 = 80 + 100 equals 180