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3 years ago

11

This year, Tanner gave 28 piano performances. That is 50% fewer than last year.

2 answers:

jonny [76]3 years ago

5 0

Tanner preformed 56 times last year. 50% is half so you just have to multiply 28 by 2

vampirchik [111]3 years ago

3 0

Tanner performed 56 times last year. Which means 50% is half. So do 28x2 which gives you 56

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Help pleaseee :))) thanks

Mnenie [13.5K]

Answer:

321.4in

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Mariulka [41]

Answer:

$A = 74.7^\circ$

$B = 42.5^\circ$

$C = 62.8^\circ$

Step-by-step explanation:

Given

$A = (-1,2) \to (x_1,y_1)$

$B = (2,8) \to (x_2,y_2)$

$C = (4,1) \to (x_3,y_3)$

Required

The measure of each angle

First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

For AB

$A = (-1,2) \to (x_1,y_1)$

$B = (2,8) \to (x_2,y_2)$

$d = \sqrt{(-1 - 2)^2 + (2 - 8)^2$

$d = \sqrt{(-3)^2 + (-6)^2$

$d = \sqrt{45$

So:

$AB = \sqrt{45$

For BC

$B = (2,8) \to (x_2,y_2)$

$C = (4,1) \to (x_3,y_3)$

$BC = \sqrt{(2 - 4)^2 + (8 - 1)^2$

$BC = \sqrt{(-2)^2 + (7)^2$

$BC = \sqrt{53$

For AC

$A = (-1,2) \to (x_1,y_1)$

$C = (4,1) \to (x_3,y_3)$

$AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2$

$AC = \sqrt{(-5)^2 + (1)^2$

$AC = \sqrt{26$

So, we have:

$AB = \sqrt{45$

$BC = \sqrt{53$

$AC = \sqrt{26$

By representation

$AB \to c$

$BC \to a$

$AC \to b$

So, we have:

$a = \sqrt{53$

$b = \sqrt{26$

$c = \sqrt{45$

By cosine laws, the angles are calculated using:

$a^2 = b^2 + c^2 -2bc \cos A$

$b^2 = a^2 + c^2 -2ac \cos B$

$c^2 = a^2 + b^2 -2ab\ cos C$

$a^2 = b^2 + c^2 -2bc \cos A$

$(\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A$

$53 = 26 +45 - 2 * 34.21 * \cos A$

$53 = 26 +45 - 68.42 * \cos A$

Collect like terms

$53 - 26 -45 = - 68.42 * \cos A$

$-18 = - 68.42 * \cos A$

Solve for $\cos A$

$\cos A =\frac{-18}{-68.42}$

$\cos A =0.2631$

Take arc cos of both sides

$A =\cos^{-1}(0.2631)$

$A = 74.7^\circ$

$b^2 = a^2 + c^2 -2ac \cos B$

$(\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B$

$26 = 53 +45 -97.67 * \cos B$

Collect like terms

$26 - 53 -45= -97.67 * \cos B$

$-72= -97.67 * \cos B$

Solve for $\cos B$

$\cos B = \frac{-72}{-97.67}$

$\cos B = 0.7372$

Take arc cos of both sides

$B = \cos^{-1}(0.7372)$

$B = 42.5^\circ$

For the third angle, we use:

$A + B + C = 180$ --- angles in a triangle

Make C the subject

$C = 180 - A -B$

$C = 180 - 74.7 -42.5$

$C = 62.8^\circ$

8 0

3 years ago

The pen is 2 cm shorter than the scale. if the scale is 7 inches long. how long is the pen?

Makovka662 [10]

The pen is $15.78$ centimeters long when scale is $7$ inches long and pen is $2cm$ shorter then the scale.

How to find the how much long is the pen ?

Scale is $7 inches$ long and

We know that

$7inches=17.78cm$

And pen is $2cm$ shorten then the scale

So the length of the pen is

$=17.78-2\\=15.78cm$

$=6.21 inches$

Learn more about the length of the pen here :

brainly.com/question/28048541

#SPJ4

7 0

2 years ago

This is a decimal number which never ends, but whose digits after the decimal point come in a predictable pattern.

Rama09 [41]

The answer is repeating

8 0

3 years ago

Read 2 more answers

Plz help me its in a picture thank you

dezoksy [38]

So if makes $23.25 selling bread,
Take $23.25 and multiply it by 100.

23.25 x 100 = $2,325

Inez made $2,325

Jo made one tenth of what Inez made.

You multiply 2,325 by one tenth.

(one tenth) x 2,325 = 232.5.

So May made $23.25
Inez made $2,325
Jo made $232.5

6 0

3 years ago

Read 2 more answers