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4 years ago

What is the length of ST if RS=7?

Mathematics

2 answers:

joja [24]4 years ago

7 0

Approximately 12.12

nika2105 [10]4 years ago

3 0

We can use tangent to calculate the length of ST.

$\sf tangent=\dfrac{opposite}{adjacent}$

Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:

$\sf tan(60\textdegree )=\dfrac{x}{7}$

Solve for 'x', multiply 7 to both sides of the equation:

$\sf x=7tan(60\textdegree )$

This is an exact answer for the length of ST, we can find an approximate with a calculator:

$\sf x\approx 12.12$

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Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
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Now we solve for b
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Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Convert to quarts: 10 pints

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Answer:

Step-by-step explanation:

Pints and Quarts are measures of volume. The relationship between them is rather simple.

We know 2 pints = 1 Quart

The problem gives us the number of pints and we need to find the number of quarts. From the relationship, we see that "pints divided by 2 will give us quarts"

Given >> 10 pints

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4 years ago

Applying the Third Corollary to the Inscribed Angles Theorem A circle is shown. Points A, B, C, and D are on the circle. Lines c

Marat540 [252]

Answer:

∠B = 110°
∠D = 70°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

∠B +∠D = 180°

(3x -4) +(2x -6) = 180

5x = 190 . . . . . . . . . . . add 10, collect terms

x = 38 . . . . . . . . . . . . . divide by 5

∠D = 2(38) -6 = 70

∠B = 180 -70 = 110

The measures of angles B and D are 110° and 70°, respectively.

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