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3 years ago

1- 4% of 79 2- 21% of 65

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

1234 and 79 come before 65

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Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
$=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}$
$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$

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4 years ago

Figure PQRS is a rectangle.

il63 [147K]

Answer:

4th option.

Step-by-step explanation:

PQ is not congruent to QR, instead it is PQ is perpendicular to QR.

6 0

3 years ago

Which two sets of angles are corresponding angles?

mojhsa [17]

Answer:

∠a and ∠d; ∠b and ∠c

Step-by-step explanation:

The two triangles as similar triangles and the scale factor is 2 : 1

The sides measuring 6 and 3 are corresponding sides

The sides measeuring 8 and 4 are ocrreposnding sides

⇒ ∠a and ∠d are corresponding angles

The sides measuring 8 and 4 are corresponding sides

The sides measeuring 4 and 2 are ocrreposnding sides

⇒ ∠b and ∠c are corresponding angles

8 0

2 years ago

A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of e

goblinko [34]

Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50

80x + 60*50 - 60x = 74*50

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

4 0

3 years ago

Read 2 more answers

What is the solution to the system of equations below?

Vanyuwa [196]

Answer:

A. (–8, 2)

Step-by-step explanation:

(1) y = ½x + 6

(2) y = -¾x – 4 Set (1) = (2)

½x + 6 = -¾x – 4 Multiply each side by 4

2x + 24 = -3x – 16 Add 16 to each side

2x + 40 = -3x Subtract 2x from each side

40 = -5x Divide each side by -5

(3) x = -8 Substitute (2) into (1)

y = ½(-8) +6

= -4 + 6

= 2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6 2 = -¾(-8) - 4

2 = -4 +6 2 = 6 - 4

2 = 2 2 = 2

8 0

3 years ago