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BaLLatris [955]

3 years ago

14

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a d

egree.

1 answer:

geniusboy [140]3 years ago

6 0

The right triangle is not one the left because the one is not the right one

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Mike makes a commission of 10% on each TV set sold at store. Each TV costs $120. How much

GrogVix [38]

Answer:

$300

Step-by-step explanation:

10% = .1 and each TV costs 120 so .1*120=12 then you take 12*25 since 12 is the money he makes for seeling the tv multiplied by the total TV's sold and you get 300 so Mike makes $300

5 0

3 years ago

the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9

natima [27]

Inverse variation means y=k/x (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x or more accurately for this problem

t(v)=5400/v then:

t(800)=5400/800

t(800)=6.75 hours

7 0

3 years ago

Pythagorean Theorem, A flag pole is 86 inches long. Can it be stored against a closet wall that measures 30 inches by 80 inches?

Flauer [41]

Answer:

no

Step-by-step explanation:

3 0

3 years ago

The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36

Charra [1.4K]

9514 1404 393

Answer:

(1, 4)
(2, 8)
(3, 12)

Step-by-step explanation:

The ratios all have ...

first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

__

You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

__

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

7 0

3 years ago

Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago