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3 years ago

Georgia's height is 4 inches less than Sienna's height. Georgia is

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

4 0

X - 4 = 58..................

iris [78.8K]3 years ago

3 0

Answer:

58+4=62 Sienna’s height is 62 inches

Explanation:

Sienna’s height is 62 inches because Georgia’s height is 58 inches and she is shorter by 4 inches which means you have to add 58+4 which would equal 62.

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Question 10 of 10<br> The function F(x) = log5 x is decreasing.<br> A. True<br> B. False<br> SUBMIT

MArishka [77]

Answer: False

Step-by-step explanation:

The base is more than 1, so the function is increasing.

4 0

1 year ago

At a point on the ground 46 feet from the foot of a tree, the angle of elevation of the top of the tree is 68 degrees. What is t

Mandarinka [93]

Answer:

114 ft

Step-by-step explanation:

Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.

The tangent function includes angle, opp side and adj side:

tan 68 degrees = opp / adj = h / (46 ft), and so:

(46 ft)*tan (68 degrees) = opp = h

Then the height of the tree is h = (46 ft)(2.47) = 114 ft

6 0

3 years ago

What is the area of a regular hexagon if a side is 30

sergij07 [2.7K]

<h3>Answer:</h3>

$1350\sqrt{3}$ square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is $A=\frac{3\sqrt{3}*s^2}{2}$ , where $A$ is the area and $s$ is the side length.

Substitute in the side length. $A=\frac{3\sqrt{3}*30^2}{2}$
Simplify the exponent. $A=\frac{3\sqrt{3}*900}{2}$
Multiply. $A=\frac{2700\sqrt{3}}{2}$
Divide. $A=1350\sqrt{3}$

$1350\sqrt{3}$ is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

4 0

2 years ago

A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat

jolli1 [7]

Answer:

7000 type A
6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

$C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y$

Then the profit equation is ...

$P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6$

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

∂P/∂x = 0 = -2x +2y +2

∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

y = x -1
x -9y = -47

Substituting the first into the second gives ...

x -9(x -1) = -47

-8x = -56

x = 7

y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0

3 years ago

In an Animal shelter, the only animals they keep are dogs and cats. The ratio of dogs to animals is 5 to 8. There are 25 dogs. F

maksim [4K]

Answer:

c=15

Step-by-step explanation:

5 dogs --------- 3 cats

25 dogs---------c cats

c=(25x3)/5

=75/5

=15 cats

3 0

2 years ago