Answer:
The quotient is 48.
Step-by-step explanation:
Estimate the quotient using compatible numbers:
45 (or I guess any number close the answer above, not sure tbh)
Multiply the estimate by 21:
945
45*21
Is the estimate to high or too low?
too low
Adjust and continue until the product is 1008.
1008/21=48
Have a good day/evening! I hope my answer is correct!
Answer:
Step-by-step explanation:
To evaluate for such, the following comprehension is required,
Equation Required: Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2
Denote the configurations as the following,
(5, -1). (5, -4)
X1 Y1. X2. Y2
D(P, Q) = √(5 - 5)^2 + (-4 +1)^2. <== Since the double negative is present, the operation is acknowledged as positive.
D(P, Q) = √(0)^2 + (-3)^2
D(P, Q) = √9 = 3
Thus, the agglomerate distance between the points situated in the Cartesian plane is disclosed, and is, henceforth, disseminated as 03 units.
Answer:
Yes, the both sides of the given equation are equal.
Step-by-step explanation:
The given equation is

Taking LHS,

Using the power property of logarithm, we get
![[\because log_ax^n=nlog_ax]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_ax%5En%3Dnlog_ax%5D)
![[\because RHS=3\log(1-i)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20RHS%3D3%5Clog%281-i%29%5D)
Both sides of the given equation are equal.
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):

The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):


Now we just add them:

So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:

So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:

Multiply by 4 to get total area:

So, the area of the given rhombus is
25cm².
The ratio of sides for a 30 : 60 : 90 = 1 : √3 :2.
Note the 90 degrees represent the hypotenuse, which in this case is 30 inches.
<span>1 : √3 :2 = x : y : 30
</span>
To get 1, on the left side, we simply divide 2 by 2
Similarly x = 30/2 = 15.
To get √3, on the left side, we simply multiply 1 by √3
Similarly y = 15 * √3 = 15√3
<span>Therefore the length and width respectively are </span>15 and 15√3 inches<span> </span>