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mash [69]
3 years ago
14

Solve by using the square root property. Write your answer in simplest radical form.

Mathematics
2 answers:
ELEN [110]3 years ago
7 0

Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw

aleksley [76]3 years ago
5 0

Answer:

x = ±4√3

Step-by-step explanation:

Given:  x² = 48, find x.  Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.

√x² = ±√48

48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).

Thus, x = ±4√3 (the last answer choice)

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Changing Dimensions of 3-D Figures
Leni [432]

The prisms are congruent if the lengths of corresponding edges are in a 1:1  ratio, the volumes and the base areas are equal and the prisms have same height                                                                                                                                  

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1  ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.  

4 0
3 years ago
Plz it’s for my finals!!
Mrac [35]
Pretty sure it would be D

Good luck on your finals!
3 0
3 years ago
What is the mode of the data set?
saw5 [17]

Answer: 92 which is choice D

Look at the right side of values for the digit that comes up the most. In this case, it would be '2' in the second row. It shows up 3 times. Those leafs pair up with the stem of 9 to form the full value 92. So we have 92 show up three times which is the most frequent value.

The data set would expand out to

85, 88

92, 92, 92, 98

105, 106, 106, 109

113

126, 127

5 0
3 years ago
The lighthouse keeper that is at the top of a lighthouse that
Amiraneli [1.4K]

Step-by-step explanation:

Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.

tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)

∴tanθ=88/1532=0.0574

∴θ=tan−1(0.0574)=3.290(2dp)

7 0
3 years ago
You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta
andreev551 [17]

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

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

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

So for x = 2, y = $30 + (2 × $35) = $30 + $70 = $100

So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

y = $45 + (x × $30), where y is total cost and x is the days rented

So for x = 1, $45 + (1 × $30) = $45 + $30 = $75

So for x = 2, $45 + (2 × $30) = $45 + $60 = $105

So for x = 3, $45 + (3 × $30) = $45 + $90 = $135

So for x = 4, $45 + (4 × $30) = $45 + $120 = $165

So for x = 5, $45 + (5 × $30) = $45 + $150 = $195

Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

3 0
3 years ago
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