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3 years ago

Complete the statement.

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

sine , opposite

Step-by-step explanation:

<h2><u>Fill in the blanks </u></h2>

For any triangle, the ratios of the <u>sine</u> of the angles to the lengths of their <u>opposite </u>sides are equivalent.

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If you transform x2+ y2 = 25 into 4x2+ 4y2 = 25, which option below describes the effect of this transformation on the

balu736 [363]

Answer:

It divides the radius by 2, which is the last option in your list of possible answers.

Step-by-step explanation:

Recall that the standard equation of a circle of radius R centered at the origin of coordinates is given by:

$x^2+y^2=R^2$

so when you have the first equation of the circle:

$x^2+y^2=R^2\\x^2+y^2=25\\x^2+y^2=5^2$

The radius of the circle was 5

Now, when you work with the second equation, we need to divide both sides by 4 in order to get the standard form of the circle and be able to understand what the radius is:

$4x^2+4y^2=25\\x^2+y^2=\frac{25}{4} \\x^2+y^2=(\frac{5}{2})^2$

So we see that the initial radius 5 is now divided by 2.

8 0

4 years ago

There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You

V125BC [204]

Answer:

coin: ball:

head -- 6

tail -- 6

6 0

3 years ago

Whats -6x+3y=9 graphed

inn [45]

This is -6x+3y=9 graphed

5 0

3 years ago

(1 pt) let t2y′′−5ty′+5y=0. find all values of r such that y=tr satisfies the differential equation for t>0. if there is more

Dafna1 [17]

Let
$y = t^r \\ \\ y' = rt^{r-1} \\ \\ y'' = r(r-1) t^{r-2}$

Substitute into differential equation:
$(r^2 -r) t^r - (5r) t^r + (5) t^r = 0$

Factor out t^r and solve for 'r':
$r^2 - r -5r +5 = 0 \\ \\ r^2 - 6r+5 = 0 \\ \\ (r-5)(r-1) = 0 \\ \\ r = 1, r=5$

8 0

4 years ago

Keisha has a total of $6000 to invest in two accounts for 1 year. One account pays 5% simple interest and the other pays 6% simp

adoni [48]

Answer: He invest $2500 in account with rate of interest 5% and invest $3500 in account with 6% of interest so that the total interest earned is $335.

Step-by-step explanation:

Given: The rate of interest for account 1= 5%=0.05

The rate of interest for account 2= 6%=0.06

Let P be the Principal amount Keisha invested in the account with 5% interest .

Then the amount she will invest in account with 6% interest= 6000-P

Time = 1 year

The simple interest is given by:-

$S.I.=Prt$