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luda_lava [24]
3 years ago
9

the sum of two consecutive integers is -49. Write an equation that models this situation and find the values of the two integers

Mathematics
1 answer:
algol [13]3 years ago
7 0
X + x +1 = -49
2x + 1 = -49
2x +1 -1 = -49 -1
2x = -50
x = -25
x + 1 = -24
Check -25 + -24 = -49
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Find the value of d.
Ket [755]
First find the value or (DEA)
For this you will have to use the Pythagorean theory,
{a}^{2} + {b}^{2} = {c}^{2}
C is mainly the hypotenuse,
Meaning you either want to find A or B,

Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,

Then 16 will be A or B, in this case it will be A,

To find a you must first move A to the other side by doing the opposite,
{b}^{2} = {c}^{2} - {a}^{2}
Now plug in the values,
{b}^{2} = {20}^{2} - {16}^{2}
{b}^{2} = 400 - 256
{b}^{2} = 144
Now just find the square root of both factors,
\sqrt{ {b}^{2} } = \sqrt{12}
The value of (DEA) is,
b = 12
Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,
{a}^{2} = {c}^{2} - {b}^{2}
Now plug in the value
{a}^{2} = {10}^{2} - {6}^{2}
{a}^{2} = 100 - 36
{a}^{2} = 64
Now find the square root of both factors,
\sqrt{ {a}^{2} } = \sqrt{64}
a = 8

The value of (d) is (8)

Hope this helped
:D
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3 years ago
2 Fifteen percent of a bag of chocolate
Minchanka [31]

Answer:0.25 or 25%  

Step-by-step explanation:

8 0
3 years ago
The area of a circle is 80.86cm2.<br> Find the length of the radius rounded to 2 DP.
weeeeeb [17]

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

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substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

\sqrt{25.75}=\sqrt{r²}

r=5.07cm

<u>The</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>radius</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u><u>0</u><u>7</u><u>cm</u>

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2 years ago
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kifflom [539]
I believe the slope is -1
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Common denominator of 2/5 and 1/10
olga2289 [7]
The common denominator of 2/5 and 1/10 is 10
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