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2 years ago

11

The store offers a 20% discount) The discount price of a hat is $18. What Is the regular price? Please give an explanation or sh

ow how you got it

1 answer:

Allisa [31]2 years ago

5 0

Answer: $38

Step-by-step explanation:

you have add 20 & 18 which would give you 38

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A portion of a line or Ray that extends from one point to another point is called what

Juli2301 [7.4K]

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

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3 years ago

Read 2 more answers

1. A girl scout troop uses 14 flashlight batteries on a three-night camping trip. If they are planning a seven-night trip, how m

yanalaym [24]

Answer to 4.
About 106.66
If they ask if a rounded answer it would be 107. You just divide 2560 by 24 because you know 24 balls is 3 pounds.

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2 years ago

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t repre

Ivahew [28]

Answer:

$448 million

Step-by-step explanation:

When it is 2011, t=11, so

$w=236(1.06)^{11} \approx 448$

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11 months ago

7(6m - 4) = -364 pls try and show work thanks!

quester [9]

Answer:

7(6m - 4) = -364

multiply 7 for both variables in the parenthesis

42m - 28 = -364

move 28 to other side

42m= -336

divide 42 on both sides

m= -8

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2 years ago

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If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

$\sin 2A = 2\cdot \sin A\cdot \cos A$ (4)

$\csc 2A = \frac{1}{\sin 2A}$ (5)

$f(A) = \sin 2A + \csc 2A$

$f(A) = \sin 2A + \frac{1}{\sin 2A}$

$f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}$

$f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}$

If we know that $\sin A \approx 0.382$ and $\cos A \approx 0.924$ , then the value of the function is:

$f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}$

$f(A) = 2.122$

8 0

2 years ago