Answer:
z = 70
Step-by-step explanation:
Multiply by 25 on both sides:
14/5 = z/25
25(14/5) = (z/25)
25(14/5) = z
Divide:
25(14/5) = z
25(2.8) = z
Multiply:
25(2.8) = z
70 = z
<h2>Hello!</h2>
The answer is:
The slant height is 13.43 m.

<h2>Why?</h2>
To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:


Where,
r, is the radius of the cone.
l, is the slant height of the cone.
We are given the following information:

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:



Now, calculating the slant height, we have:


Substituting, we have:


Hence, we have that the slant height is 13.43 m.

Have a nice day!
Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point
and end point
in the ratio m:n, we use the formula

,
, Q(x,y)=(4,1), m:n=1:4
Therefore:

The correct option is A.
Answer:
<h2>The right side triangle is isosceles and equilateral.</h2>
Step-by-step explanation:
In this problem we need to draw isosceles triangles with
. The triangle is attached.
Also, we have to identify which triangle is isosceles based on the image. The triangle on the left is isosceles and equilateral. Remember that a isosceles triangle is defined by the congruence between at least two sides, in this case, we have three congruent sides, which makes the triangle isosceles and equilateral.
The triangle on the right side is not isosceles, it's just a right triangle. When a right triangle is also isosceles, its acute angles are 45°, which is not the case here.
Answer: Required ratio will be 20:6:15.
Step-by-step explanation:
Since we have given that
For every 1 liter of water used to make a medicine, 300 ml of sucrose and 750 ml of saline solution are used.
So, We need to express the amount of water, sucrose and saline solution in its simplest form.
So, all amount will be in same units i.e. ml.
As we know that

So, Ratio will be expressed as

Hence, required ratio will be 20:6:15.