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3 years ago

5. Joe has $425.50 before he goes shopping. He spends 20% of it on groceries and then of the

1 answer:

7 0

I’m not sure if this is right. but wouldn’t it be 0 if he spent the remaining amount of money on supplies for an art project?

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In Which Quadrant is this true

34kurt

Given:

$\sin \theta$

$\tan \theta$

To find:

The quadrant in which $\theta$ lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only $\sin\theta$ and $\csc\theta$ are positive.

In Quadrant III, only $\tan\theta$ and $\cot\theta$ are positive.

In Quadrant IV, only $\cos\theta$ and $\sec\theta$ are positive.

We have,

$\sin \theta$

$\tan \theta$

Here, $\sin\theta$ is negative and $\tan\theta$ is also negative. It is possible, if $\theta$ lies in the Quadrant IV.

Therefore, the correct option is D.

5 0

3 years ago

king's sporting goods have two bikes on sale one cost 89.98 and another cost 99.99 what is difference in the price of these two

timurjin [86]

99.99 minus 89.98 equals 10.01

3 0

3 years ago

Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was 1.25, and th

SSSSS [86.1K]

Answer:

$1.65

Step-by-step explanation:

If h is the price of a hot dog, then the total bill was ...

4(2h +1.25) = 18.20

2h +1.25 = 4.55 . . . . . . divide by 4

2h = 3.30 . . . . . . . . . . . subtract 1.25

h = 1.65 . . . . . . . . . . . . . divide by 2

The price of one hot dog was $1.65.

6 0

3 years ago

What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.

SOVA2 [1]

Notice the picture below

the directrix is above the focus point, meaning the parabola is vertical and is opening downwards

now, "p" is the distance from the vertex to the focus point or the directrix, so that means, the vertex is between those two fellows, over the axis of symmetry, x = -2, since "p" is 1 unit, that puts the vertex at -2,5

since the parabola is opening downwards, that means the "p" value is negative, so is -1

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\$

$\bf \begin{cases}
p=-1\\
h=-2\\
k=5
\end{cases}\implies (x-(-2))^2=4(-1)(y-5)
\\\\\\
(x+2)^2=-4(y-5)\implies 
-\cfrac{1}{4}(x+2)^2=y-5
\\\\\\
\boxed{-\cfrac{1}{4}(x+2)^2+5=y}$

4 0

3 years ago

Find the twenty-seventh term of the arithmetic sequence 21, 18, 15, ...

leva [86]

Answer: -57

Step-by-step explanation: 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36, -39, -42, -45, -48, -51, -54, -57

It is decreasing by 3 each turn. Therefore, the 27th term would be -57.

6 0

3 years ago