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3 years ago

What is the supplementary of angle 169°

Mathematics

2 answers:

Monica [59]3 years ago

5 0

the answer is 180-169= 11

hichkok12 [17]3 years ago

3 0

Answer:

Step-by-step explanation

180-169=11

supplementary = 180 total

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Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

Suppose that you have an enormous grapefruit that is 92% water (by weight). The grapefruit weights 100 pounds. If the water cont

yuradex [85]

Answer:

The weight of grapefruit is now 80 pound.

Step-by-step explanation:

Consider the provided information.

Let the x is the weight loss. The weight of grapefruit is 100 pounds and water is 92%. After evaporation water is 90%.

Thus the weight loss is:

$0.92\times100-0.90(100 - x) = x$

$92-90+0.90x=x$

$2=x-0.90x$

$2=0.1x$

$x=20$

Hence, the weight loss is 80 pounds.

Therefore, New weight is 100 - 20 = 80 pounds

The weight of grapefruit is now 80 pound.

3 0

3 years ago

What is h=3.6 what h

emmainna [20.7K]

Answer:

3.6 since h = 3.6

Step-by-step explanation:

5 0

3 years ago

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To find the quotient of 8 divided 1/3 by • 1/8 • 1/3 •3 •8

olga nikolaevna [1]

Answer:

24 is the answer

Step-by-step explanation:

Ok so we need to find the quotient 8 divided by $\frac{1}{3}$

so we have to do 8 divide $\frac{1}{3}$ = 8/1/3 =8x3=24

dividing 8 by 1/3 by is equivalent to multiplying 8 by 3

6 0

3 years ago

Graph the system of equations on graph paper.

MrRa [10]

Ths system of equations is

8x+6y=48 ..............>y = 48/6 -8x/6
2x−3y=−6 ..............>y = 6/3 + 2x/3

If we use a graphic tool, we can easily check the solution,
which is (x,y) = (3,4)

The ordered pair lies in Quadrant I

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3 years ago

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What is the supplementary of angle 169°​

What is the supplementary of angle 169°