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vodomira [7]
4 years ago
13

Please helpppppppppp me

Mathematics
1 answer:
Naily [24]4 years ago
5 0

Answer:

Please read explanation below.

Step-by-step explanation:

Let's go over what some of the symbols of inequalities represent:

>: greater than

: less than

\ge: greater than or equal to

\le: less than or equal to

The symbol in the equation that is given to you is \ge. It seems as though each of the answer choices have everything written as the same thing except for the description of the inequalities. Check the one that applies.

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A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
Verdich [7]
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
6 0
3 years ago
Mackenzie put $6,000.00 in a retirement account that offers 11% interest compounded annually. She makes no additional deposits o
Veronika [31]

Answer:

$39,960

Step-by-step explanation:

11% of 6000

= 11/100 × 6000

=$660

Year 1=$6,660.00

Year 6= $6,660.00 × 6 years

=$39, 960.00

8 0
3 years ago
A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d
lozanna [386]
A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}
4 0
3 years ago
2. Jamie bought a computer for $856.35 including tex He received an interest-free loan for the exact poor of the computer. If Ja
Ksju [112]

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

5 0
3 years ago
Select the correct answer.
77julia77 [94]
I’m pretty
Shore it’s b
4 0
3 years ago
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