Answer:
35
Step-by-step explanation:
6 x 5 = 30
30 + 5 = 35
Answer:
We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Step-by-step explanation:
we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.
If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°
So, First we have to find the value of x. and then we can determine larger angle.
We know: ∠A + ∠B = 180
2x-30+4x=180
6x-30=180
6x=180+30
6x=210
x=210/6
x=35
So, value of x is x=35
Now finding ∠A and ∠B
∠A = (2x − 30)°
∠A = (2(35) − 30)°
∠A = (70 − 30)°
∠A =40°
and ∠B = 4x
∠B = 4(35)
∠B = 140°
So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Answer:
The rate at which Perimeter of the square is increasing is 
.
Step-by-step explanation:
Given:
Circumference of the circle = 
Rate of change of in circumference = 6 in/secs
We need to find the rate at which the perimeter of the square is increasing
Solution:
Now we know that;
Now we know that;
side of the square= diameter of the circle
side of the square = 
Now Perimeter of the square is given by 4 times length of the side.
Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.
But 
So we get;
Hence The rate at which Perimeter of the square is increasing is .
Answers:
- Translate
- Reflect
- Rotate
- Dilate
This can be stated in any order
============================================
Explanation:
In geometry, a translation is where you slide a point or figure some distance left, right, up or down.
A reflection will mirror a point over a line, or you could mirror a point over another point.
A rotation turns a point around a fixed center point.
A dilation scales the figure to be larger or smaller.
The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.
L*w=20, so l=20/w
l=2w+3
20/w=2w+3
20=2w^2+3w
2w^2+3w-20=0
Slip and slide
w^2+3w-40
(w+8)(w-5)
(w+8/2)(w-5/2)
(w+4)(2w-5)
w= -4 or 5/2, but since width must be positive, it is 5/2
(5/2)*l=20
l=8
Final answer: Length= 8, Width= 5/2
