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eimsori [14]
3 years ago
10

A square has a side length of 2.5 feet if the square is dilated by a factor of 2.5 what is the length of a side of the new squar

e
Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

6.25

Step-by-step explanation:

You would multiply 2.5 by itself since you're dilating your side length.

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what was the interest rate if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​
Mumz [18]
<h3>The interest rate is 8 % if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​</h3>

<em><u>Solution:</u></em>

Given that,

Principal = $ 857

Amount = $ 1268.36

Number of years = 6

Rate of interest = ?

Simple Interest = Amount - principal

Simple Interest = 1268.36 - 857

Simple Interest = 411.36

<em><u>Use the formula,</u></em>

Simple Interest = \frac{ p \times n \times r}{100}\\\\411.36 = \frac{ 857 \times 6 \times r}{100}\\\\41136 = 5142 \times r\\\\r = \frac{41136}{5142}\\\\r = 8 \%

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3 years ago
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lora16 [44]

Answer:

○ sin 15° = sin 30°⁄2 = ±√[1 - cos 30°\2]

Step-by-step explanation:

According to the Sine Half-Angle Identity, this is the formula:

sin x = sin ˣ⁄2 = ±√[1 - cos x\2]

Notice the <em>-</em><em>cos</em><em> </em><em>x</em><em>\</em><em>2</em><em> </em>inside the radical. The second option nearly resembles this option. It has a positive symbol inside. Do not let this confuse you. The Cosine Half-Angle Identity is the formula that has a positive in the radical:

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I am joyous to assist you anytime.

7 0
3 years ago
What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below? x+2y&lt;_ 10. y&lt;_2. x&gt;_0. y&gt;_0
murzikaleks [220]
The answer is D. 40. I hope this helps!!!!!
4 0
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How do you do 56 through 58? Thanks to anyone who awnsers!
astraxan [27]

Hello !

56)

5 {x}^{2}  + 8x =  - 1 \\ 5 {x}^{2}  + 8x + 1 = 0

\Delta =  {b}^{2}  - 4ac \\  =  {8}^{2}  - 4 \times 5 \times 1 \\  = 64 - 20 \\  = 44

The value of the discriminant is 44.

57) ∆>0 : there are two solutions.

58)

x_1 =  \frac{ - b +  \sqrt{\Delta} }{2a}  \\  =   \frac{ - 8 +  \sqrt{44} }{2  \times 5}  \\  =  \frac{ \sqrt{11} - 4 }{5}

x_2 =  \frac{ - b - \sqrt{\Delta} }{2a} \\  =  \frac{ - 8 -  \sqrt{44} }{2 \times 5}   \\  =  \frac{ -  \sqrt{11} - 4 }{5}

Have a nice day

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Find all solutions to the equation.<br> cos^2x + 2 cos x + 1 = 0
garri49 [273]

Answer:

take a picture of the problem

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