y varies jointly as x and z. If y = -40 when x = -2 and z = -1, what is the variation equation?

hi i just need some points rq tyStep-by-step explanation:

This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:

cotθ = 1 / tanθ

tanθ = sinθ / cosθ

Look at the latter identity. We can rewrite it as such:

tanθ * cosθ = sinθ

We are given the expression:

cosθ * tan²θ * cotθ

Referring to the first trigonometric identity above, substitute cotθ:

cosθ * tan²θ * (1 / tanθ)

Multiply tan²θ and the fraction:

cosθ * (tan²θ / tanθ)

cosθ * tanθ

Refer to the second trigonometric identity:

cosθ * tanθ

sinθ

cosθ * tan²θ * cotθ = sinθ

If you have any questions about how I got to the answer, feel free to ask

- breezyツ

Answer:12

Step-by-step explanation:

np

Answer:

12 months, so 1 year

Step-by-step explanation:

Answer:

its a

Step-by-step explanation: i took the test

Answer:

mean

Step-by-step explanation:

mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces

Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces

Now, if we includes a package that weighs 219 ounces

The new mean = (29+19+69+24+64+59+219)/7 = 69

New median (19,24,29,59,64,69, 219) = 59

Hence, we say that the mean increases more than the median

Answer:

YAY

Step-by-step explanation:

Answer:

10.29 (rounded = 10.30)

Step-by-step explanation:

X = a^2 + b^2 = c^2

X = 9^2 + 5^2 = c^2

X = (81) + (25) = c^2

X = 106 = c^2

X = √106 = c^2

X = 10.295630141 = c^2

X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)

Answer:

13824 is the answer

Step-by-step explanation:

8*12*2*6*12

Answer:

Line A

Step-by-step explanation:

Line A has a constant of proportionality (slope) of 4.

Answer:

D

Step-by-step explanation:

Hector took 1 hour and 25 mintues to finish the test. (D)!

Answer:

rectangular prism = cuboid

total surface area of a cuboid (tsa) = 2(lb+bh+hl)

l=length = 3cm

b=breadth = 6cm

h=height = 5cm

tsa = 2( 3*6 + 6*5 + 5*3 )

        2( 18 + 30 + 15 )

         2 * 63

       = 126 [tex]cm^{2}[/tex]

hope this answer helps you.....

Answer:

D. no

Step-by-step explanation:

im pretty sure its d. no

Answer:

See Explanation

Step-by-step explanation:

Given

The given proportion can be represented as:

[tex]1\ bag = 4yd^2[/tex]

Required

The additional number of mulch needed

The question has incomplete details, as the amount of mulch he has applied and the area of the flower garden are not given.

So, I will make some assumptions to solve this question.

Let the area of his flower garden be x.

So, we have:

[tex]1\ bag = 4yd^2[/tex]

[tex]y = x\ yd^2[/tex]

Cross multiply

[tex]4yd^2 * y = xyd^2 * 1\ bag[/tex]

Make y the subject

[tex]y = \frac{x\ yd^2 * 1\ bag}{4yd^2}[/tex]

[tex]y = \frac{x* 1\ bag}{4}[/tex]

[tex]y = \frac{x}{4}\ bag[/tex] --- This represents the total amount of mulch required for the flower garden

--------------------------------------------------------------------------------------------------------

Assumptions

Assume that [tex]x = 16[/tex],

So, we have:

[tex]y = \frac{x}{4}\ bag[/tex]

[tex]y = \frac{16}{4}[/tex]

[tex]y = 4[/tex]

i.e 4 bags are needed.

Assume he has applied 2 bags already.

The number of bags needed to apply will be:

[tex]y - 2[/tex]

[tex]y - 2 = 4 - 2[/tex]

[tex]y - 2 = 2[/tex]

2 more bags needed

--------------------------------------------------------------------------------------------------------

1 x= 2

2 x= 16

3 x= 12

Heart or brainly me!

Answer:

3 more sunny days in September then in October

Answer:

good  for him or her can u help me with my math question

Step-by-step explanation:

Answer: I know C it’s one answer

Step-by-step explanation:

Answer:

3.) x = 4.5

4.) y = 7

Step-by-step explanation:

3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!

[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]

Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.

But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have!  We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...

[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]

Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)

Have a nice day. Feel free to Ask questions. Spread The Love.

Answer:

132

Step-by-step explanation:

the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))

Answer:

C

Step-by-step explanation:

75= to that equation

75-15=60/2=30

n=30

Answer:

70°

Step-by-step explanation:

Sum of angles in a parallelogram is 360°

Opposite angles are equal

2(16x - 2) + 2(8x + 14) = 360°

32x - 4 + 16x + 28 = 360°

32x + 16x + 28 - 4 = 360°

48x + 24 = 360°

48x = 360 - 24

48x = 336

x = 7

m< E = 8x + 14

Substitute for x

= 8(7) + 14

= 56 + 14

= 70°

Answer:

C

Step-by-step explanation:

A triangle is 180 degrees so 120+40 is 160

180-160=20

Answer:

large popcorn: $8

small drink: $3.75

= $8 + $3.75

= $11.75

Answer:

$11.75d

Step-by-step explanation:

add 8.00 and 3.75

you get 11.75 since U don't know how much it is for the drink, then U put d 11.75 so when U find d, you'll know that U can add it with your sum.

Answer:

The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.

Step-by-step explanation:

Answer: 0%

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!

Answer:

-3p^7 + 8p

Step-by-step explanation:

OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]

[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]

[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]

[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]

[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{= \dfrac{40}{1}}[/tex]

[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Andrés tiene 15 años y Alex tiene 12 años.

Step-by-step explanation:

Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:

x=y+3, donde:

x es la edad de Andrés

y es la edad de Alex

Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:

x+9=2y

Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:

y+3+9=2y

12=2y-y

y=12

Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:

x=y+3

x=12+3

x=15

De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.