EDGE 2020
Which trigonometric functions have the same maximum value?

y = arcsinx and y = arccosx
y = arcsinx and y = arctanx
y = arctanx and y = arcsecx
y = arccosx and y = arcsecx

Answer:

Step-by-step explanation:

The answer is A

If it's not then i'm sorry

Answer:

None of the above

Step-by-step explanation:

A. b ≠ 0

B. Solve for b:

-7/(2 b) = (2 b)/7

Cross multiply:

-49 = 4 b^2

-49 = 4 b^2 is equivalent to 4 b^2 = -49:

4 b^2 = -49

Divide both sides by 4:

b^2 = -49/4

Take the square root of both sides:

Answer: b = (7 i)/2 or b = -(7 i)/2

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Answer:

260 miles.  

Step-by-step explanation:

350-90=260  

If you see the word difference in an equation, it means to subtract. :) hope that helps

Answer:

The cost of the dryer would be 425$

Step-by-step explanation:

796 - 54 = 742

742 ÷ 2 = 371

371 = washer cost

371 + 54 = 425

425 = dryer price

======================================================

Explanation:

w = cost of washer

d = cost of dryer

costs are in dollars

w+d = 796 since the two costs combine to get a total cost of $796

w = d-54 because the washer is $54 cheaper

-------------------------

Let's start with the first equation and plug in the second equation

w+d = 796

(w) + d = 796

(d-54)+d = 796 ... replace w with d-54

d-54+d = 796

2d-54 = 796

2d = 796+54 ... adding 54 to both sides

2d = 850

d = 850/2 ... dividing both sides by 2

d = 425

The dryer costs $425

We can stop here.

-------------

If you want to find the cost of the washer, then,

w = d-54

w = 425-54 .... plug in d = 425

w = 371

The washer costs $371

Note that

w+d = 371+425 = 796

which matches with the total cost we were given. This confirms our answer.

Answer:

44.5 degrees.

Step-by-step explanation:

Since these triangles are congruent, their angles are the same.

Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):

2.5x+8=3.5x-7

8=x-7

x=15

We can plug 15 back into one of the equations:

2.5(15)+8 = 45.5

This means angle F is 45.5.

To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:

90 + 45.5 + x = 180

135.5 + x = 180

x = 44.5

Therefore, the angle E is 44.5 degrees.

Answer:

44.5

Step-by-step explanation:

These triangles are the same so we know that

2.5x + 8 = 3.5x - 7

Subtract 2.5 x from both sides

8 = x - 7

Add 7 to both sides

15 = x

Substitute x

37.5 +8

45.5

There is a right angle so we must add 45.5 + 90 to get 135.5

Subtract 135.5 from 180 to get

44.5

Answer:

K must be greater than 5

G must be less than  4

Step-by-step explanation:

What happened when the stock decreased by $123?

Answer:

10000000000000000000000,

the next number: 1-934028049747284

that's all

pls report

thanks!))))

Step-by-step explanation:

9514 1404 393

Answer:

  f(0) = 12 . . . only

Step-by-step explanation:

We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.

The graph of f(x) crosses the y-axis at y=12, so ...

  f(0) = 12

Answer: 4,12

Step-by-step explanation: Gimme points  I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)

Answer:  0.8956

Step-by-step explanation:

Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.

Let X be the daily surface concentration of carbonyl sulfide.

The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =  0.8956

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

Each triangle can be classified by its angles and sides in the following ways :

Answer:

b-5

Step-by-step explanation:

Answer:

7+c=48

Step-by-step explanation:

Answer:

4.84

Step-by-step explanation:

4.84 is the nearest hundredth number of 4.8367.

Two or more expressions with an Equal sign is called as Equation.

Given,

4.8367 is a decimal number.

Four point eight three six seven is the given decimal number.

We have to round the decimal number to the nearest hundredth.

In the given decimal number the value at hundredth position is 3.

We need to follow the rules when rounding a decimal number.

if the last digit is less than 5, round the previous digit down.

if it's 5 or more than you should round the previous digit up.

In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.

Hence 4.84 is the nearest hundredth number of 4.8367.

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Answer:

The triangles appear to be the same size and shape.

Step-by-step explanation:

The new triangle formed is congruent to the former one.

From question 1 the data has been revised. Which form a triangle.
Here same triangle to be determine.

Similar triangles, are those triangles which have similar properties, i.e. angles and proportionality of sides.

Here,
We have triangle from question 1 solution. While copying triangle we used to draw three sides over the measure of angles and size of the sides to get copy of triangle. The triangle obtained will be congruent to the former triangle.

Thus, the new triangle formed is congruent to the former one.  

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Answer:

3/20, 0.015, 0.15%

Step-by-step explanation:

Answer:

(5a + 0.1b^5)(5a + 0.1b^5)

Step-by-step explanation:

25a^2 − 0.01b^10 =

This follows the pattern: x^2 - y^2 = (x + y)(x - y)

= (5a + 0.1b^5)(5a + 0.1b^5)

Answer:

imater?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

You add 3 and 5 to get 8 and then you will subtract 2 from 8 to get 6

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

Answer:

Step-by-step explanation:

just add both corresponding angles

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and  graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph  f(x) = 6(x + 1)2 -9.

A function can be thought of as an output for the given set of inputs.

Given f(x) = 6(x + 1)² - 9.

f(x) = 6( x² + 2x + 1) - 9.

f(x) = 6x² + 12x + 6 - 9.

f(x) = 6x² + 12x - 3.

The graph opens upward as the coefficient of x² is positive.

The graph is steeper than x² as it has a multiplication factor of 6.

The graph is the same like f(x) =  6x² + 12x - 3 as we have already found out by simplifying.

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Answer:

The volume of he bedroom is about 180 feet :)

Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Answer:

ZYW = 17.

Step-by-step explanation:

ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.

The measure of angle ZYW is 17.

Given that,

Based on the above information, the calculation is as follows:

= 180 - 133 - 30

= 17

Also ZYW = XYW

Therefore we can conclude that the measure of angle ZYW is 17.

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Answer:

[tex] h = \dfrac{A - 9}{6} [/tex]

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

[tex] h = \dfrac{A - 9}{6} [/tex]

The required expression for the slant height is h = [A - 9] / 6 .

Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6

Thus, the required expression for the slant height is h = [A - 9] / 6 .

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Answer:

x=8

Step-by-step explanation:

2.5x+17+21x−25=180

Simplify 2.5x+17+21x−25

23.5x−8=180

Move all terms not containing x to the right side of the equation.

23.5x=188

Divide each term by 23.5 and simplify.

x=8

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Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

             [tex]width=\frac{3000}{50} =60yd[/tex]

            [tex]width=\frac{3000}{40}=75yd[/tex]

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

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