Answer:
26 degrees
Step-by-step explanation:
2 angles must equal to 180 of they share the same side/line so,
180-154=26
Answer:
See below.
Step-by-step explanation:
Rule:
Explanation:
When multiplying monomials with the same base, write the same base and add the exponents.
Answer: 502.65
Step-by-step explanation: A= 2πrh + 2πr^ this is the formula for solving the surface area so now you must substitute
2·π·5·11+2·π·5^
6.28 · 55 + 2 π · 25
add and you will get 502.65 hope this helps mark me brainliest if it did
20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
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Answer:
20 cm³
Step-by-step explanation:
Answer:
Ascend
Step-by-step explanation:
In order to solve this problem, we are going to use some principles of vector calculation. The concepts we are going to use are Partial derivatives, gradient vector, velocity vector, direction vector, and directional derivative.
The gradient vector is a vector that describes how is the 'slope' in the space of a multivariable function at a specified point; it is built as a vector of partial derivatives. The vector velocity is a vector that describes the direction and speed of the movement of a body, if we make the velocity a unitary vector (a vector whose norm is 1), we obtain the direction vector (because we are not considering the real norm of the vector, just direction). Finally, the directional derivative is a quantity (a scalar) that describes the slope that we get on a function if we make a displacement from a particular point in a specific direction.
The problem we have here is a problem where we want to know how will be the slope of the hill if we stand in the point (120, 80, 764) and walk due south if the hill has a shape given by z=f(x,y). As you see, we have to find the directional derivative of z=f(x,y) at a specific point (120, 80, 764) in a given displacement direction; this directional derivative will give us the slope we need. The displacement direction 'u' is (0,-1): That is because 'y' axis points north and our displacement won't be to the east either west (zero for x component), just to south, which is the opposite direction of that which the y-axis is pointing (-1 for y component). Remember that the direction vector must be a unitary vector as u=(0,-1) is.
Let's find the gradient vector:
Evaluate the gradient vector at (120,80) (764 is z=f(120,80); you may confirm)
Finally, find the directional derivative; if you don't remember, it can be found as a dot product of the gradient vector and the direction vector):
As you see, the slope we find is positive, which means that we are ascending at that displacement direction.
Using the provided information, it is determined that $6000 was Joyce's total weekly sales.
Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages.
Given:
An insurance agent named Joyce Flynn made a commission of $1,800 in her first week on the job. She receives a 30% commission.
We need to find the total sales for the week.
Let, x = total commission
Since, 30% of total commission is 1800. So, total sales will be:
x = 1800/0.30 = 6000
Therefore, Joyce's total sales for the week is found to be $6000 by using the given data.
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