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Elan Coil [88]
3 years ago
15

Help me fast quick plz I need an answer ​

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

Answer:

this is tricky

Step-by-step explanation:

ankoles [38]3 years ago
3 0
I’m pretty sure it’s 1 & 3

Hope this helps!
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The area of the yellow region is 112 cm^2. find the value of x​
mrs_skeptik [129]
<h3>Answer:   x = 7</h3>

===========================================================

Explanation:

The largest rectangle (composed of the green and yellow sections combined) has area of 11*12 = 132 cm^2.

The yellow region takes up 112 of those 132 sq cm. This must mean the green region takes up 132-112 = 20 cm^2.

The horizontal portion of the green rectangle is 12-x cm. The vertical portion is 11-x cm. We can form the area of the green rectangle as an algebraic expression like so

area = length*width

area = (11-x)*(12-x)

area = 132 - 11x - 12x + x^2 .... apply the FOIL rule

area = x^2 - 23x + 132

Set this equal to the 20 cm^2 we found earlier.

x^2 - 23x + 132 = 20

x^2 - 23x + 132-20 = 0

x^2 - 23x + 112 = 0

We could factor or we could use the quadratic formula. I'll go with the second option.

We'll plug in a = 1, b =  -23, c = 112

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-23)\pm\sqrt{(-23)^2-4(1)(112)}}{2(1)}\\\\x = \frac{23\pm\sqrt{81}}{2}\\\\x = \frac{23\pm9}{2}\\\\x = \frac{23+9}{2}\ \text{ or } \ x = \frac{23-9}{2}\\\\x = \frac{32}{2}\ \text{ or } \ x = \frac{14}{2}\\\\x = 16\ \text{ or } \ x = 7\\\\

One of these solutions isn't feasible. Note how if x = 16, then this exceeds both the 11 cm and 12 cm sides. So this x value is not possible.

However, x = 7 is possible.

If x = 7, then the horizontal portion of the green rectangle is 12-x = 12-7 = 5 cm. Also, the vertical portion of the green rectangle would be 11-x = 11-7 = 4 cm. The area then is length*width = 5*4 = 20 cm^2 which matches up with what we got earlier. So the answer is confirmed.

7 0
3 years ago
Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2
Lady bird [3.3K]

Answer:

Step-by-step explanation:

sin ~a=\frac{12}{13} ,\frac{\pi}{2}

8 0
3 years ago
What two number multiple to get -72 and add up to -6
hammer [34]

Answer:

6 and -12

Step-by-step explanation:

6×-12=-72

6+(-12)=-6

×^2 -6x-72=0

(x+6) (x-12)

x^2-6x-72=(x+6) (X-12)

7 0
2 years ago
Deb deposited $70 in a savings account earning 10% interest, compounded annually.
bija089 [108]

Answer:

Deb will have $93.17 in 3 years

Step-by-step explanation:

FV = P(1 + r)^n

FV = 70(1+0.1)^3

FV = 70(1.331)

FV = 93.17

7 0
2 years ago
The diameter of Mercury is approximately 4.9×10^3 kilometers. The diameter of Earth is approximately 1.3×10^4 kilometers. About
JulijaS [17]
 \text {Number of times = } \dfrac{1.3 \times 10^4}{4.9 \times 10^3 }

\text {Number of times = }  \dfrac{1.3}{4.9} \times 10^{4-3}

\text {Number of times = }  0.27 \times 10

\text {Number of times = }  2.7
5 0
3 years ago
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