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Dvinal [7]
3 years ago
7

Please Help

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

23

Step-by-step explanation:

-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.

-We apply the formula for surface area and equate to solve for x:

A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25

#Equate to zero as below:

324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13

length dimensions are always positive.

Hence, the value of x is 23

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A rotation maps point A to A’.
weeeeeb [17]

Answer:  The answer is (C) 180° rotation.

Step-by-step explanation:  Given that the point A maps to the point A' by a rotation. We are to select the statement that describes the rotation.

In the given figure, the co-ordinates of point A are (-3, 5) and after rotation, the co-ordinates of point A' are (3, -5).

Therefore, the point (x, y) changes to (-x, -y) after rotation. This is the result of 180° rotation.

Therefore, the point A is rotated through an angle of 180° to reach at the point A'.

Thus, the correct option is (C) 180° rotation.

5 0
3 years ago
Read 2 more answers
F(4) = ______<br> If g(x) = 2, x = _____
disa [49]

Answer:

<h2>f(4) = -10 </h2><h2> </h2><h2>x = 0 </h2>

Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

5 0
3 years ago
You purchased a new car for 17,999 in the year 2015. It is now 2020 and you want to sell your car for a fair price. If your car
salantis [7]

Answer:

$7,986.25

Step-by-step explanation:

We can use the following formula to solve:

A=P(1-r)^t

<em>P = principal value</em>

<em>r = rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Since 2015 and 2020 are 5 years apart, we will use 5 for t. Now, plug the values into the equation:

A=17,999(1-0.15)^5

A=7,986.25

Your car would be worth $7,986.25

8 0
3 years ago
What is the volume of the cone?<br> A.16.8<br> B.33.5<br> C.134.0<br> D.8.4
vladimir2022 [97]

Answer:

B. 33.5

Step-by-step explanation:

V=πr2h

3=π·2^2·8/3≈33.51032

5 0
3 years ago
The formula for calculating the density of an object is D=-, where m is mass and v is volume.
Over [174]

Answer:

M= D x V, V= M x D

Step-by-step explanation:

You just do the opposite of division since the original is:

Density= Mass/ Volume

8 0
3 years ago
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