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3 years ago

Five small apples have about 390 calories.

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

78 calories per apple :)

kvasek [131]3 years ago

4 0

Divide 390 by 7 and you’ll get 78 so each apple is 78 calories

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.

gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )

and major axis parallel to the x-axis is x²/a² + y²/b² = 1

# a > b

- The length of the major axis is 2a

- The coordinates of the vertices are ( ± a , 0 )

- The length of the minor axis is 2b

- The coordinates of the co-vertices are ( 0 , ± b )

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%3D%20%5Cfrac%7Bx%20-%204%7D%7B3%7D" id="TexFormula1" title="\frac{5}{

valentina_108 [34]

Step-by-step explanation:

$\frac{5}{2} = \frac{x - 4}{3}$

$3 \times \frac{5}{2} = \frac{x - 4}{3}$

$\frac{3}{1} \times \frac{5}{2} = \frac{x - 4}{3}$

cross multiplication

$\frac{6 \times 5}{2} = \frac{x - 4}{3}$

$15 = \frac{x - 4}{3}$

$15 \times 3 = x - 4$

$45 + 4 = x$

$49 = x$

4 0

3 years ago

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In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?

Vinvika [58]

Answer:

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Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

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In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

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4 years ago

HELP ASAP

beks73 [17]

D=dollars earned
T=time spent painting the fence.

(1,5) (2,10) (3,15)

D=5T

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kobusy [5.1K]

Answer:

need help too

Step-by-step explanation:

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