If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?

Answer:

-162

Step-by-step explanation:

x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162

(x+12)²≥0

(x+12)²-162≥-162

⇒ the minimum value of the function is -162

Answer:

distance = 8.35 inch

Step-by-step explanation:

here's your solution

=> scale is , 1 inch = 20 feet

=> distance between room in feet = 167 feet

=> so, distance in inch = 167/20

=> distance = 8.35 inch

hope it helps

Answer:

21m of high of diagram ok

Answer:

[tex]94.6ft^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{(bx_{1}+bx_{2} )h }{2}[/tex]

[tex]A=\frac{(7.7+14.3)(8.6)}{2}[/tex]

[tex]answer:- 94.6 ft^{2}[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!

Answer:

area = 94.6 ft.sq

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> area of trapezium = 1/2(7.7 + 14.3)*8.6

==> area of trapezium = 1/2*22*8.6

==> area = 11*8.6

==> area = 94.6 ft.sq

hope it helps

Answer:

21 more shirts

Step-by-step explanation:

150-45=105

105/5=21

Answer:

3

Step-by-step explanation:

Use scale factor

6/q=8/4

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]

Whereas the area of a circle for a radius r is given as

[tex]\Delta Circle=\pi r^2[/tex]

Now the ratio is given as

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

Answer:

X=5

Step-by-step explanation:

3x+4=5x-6

3x+10=5x

10=2x

5=x

Answer:

hahahahahahahahahahahhahahahahahhahahahahahahahahhahahahahahahahahahahhahahahahahahahahhahahahahahahahahhahahwhwhwhwhwhwhahahahahhahahahhahahahahahahahahhahahahahahahahahahahahahahahhahahahahahahahahahahahahahhahahahahahahahahahahhahahahahahhahahahahahahahahahhahahahahahahahhahahahahahahahhahahahahahahahhahahahahhahahahahahah

Answer:

A

Step-by-step explanation:

The vertex of a parabola lies on the axis of symmetry.

Answer:

Choice C

Step-by-step explanation:

The Equation of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the x and y coordinates respectively of the center of the circle, and r is the radius. Because the center here is (2, -5), we have (x-2)^2+(y- - 5)^2, and the two minuses become (y+5)^2. This eliminates A and B. The radius is 4, so r^2=16, and thus, we get C.

Answer:

3.3 for pepper and 2.7 for salt which is 6 tons in total

Step-by-step explanation:

The number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.

Given that, every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of pounds of hay eaten by Salt in a year

= 450 × 12

= 5400 pounds

Number of pounds of hay eaten by Pepper in a year

= 550 × 12

= 6600 pounds

Total pounds of hay eaten by both the horses = 5400+6600

= 11000 pounds

In tons = 11000/2000

= 5.5 tons

Therefore, the number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.

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Answer:

10

Step-by-step explanation:

First substitute x for 2

3(2) + 4

6+4

10  When x is 2 f = 10

Answer:

8 steps can be cut

Step-by-step explanation:

20 ÷ 2.5 = 8

Answer:

Angle 8 = 100 degrees

Step-by-step explanation:

Angle 2 = Angle 8

Because, they are alternate exterior angles.

Hello!

This question is about which values you are changing when you are transforming an equation.

Let's go through the parent function for an absolute value equation and its various transformations.

[tex]y=a|b(x-c)|+d[/tex]

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.

The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.

One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.

Now that we know this, let's write each expression.

a) [tex]y=|x+2|+1[/tex]

b) [tex]y=|x+2|-1[/tex]

c) [tex]y=|x+3|[/tex]

d) [tex]y=|x+1|[/tex]

Hope this helps!

Answer:

240 bananas

Step-by-step explanation:

You would need 8 sets of figs. 10 coconuts is equal to 25  figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240

Answer:

To buy the boat you would need 240 bananas.

Explanation:

3 bananas = 1 coconut

1 coconut = 2.5 figs

200 figs (price of boat) = 80 coconuts

80 coconuts (price of boat) = 240 bananas

Answer:

The answer is "[tex]0.22\ \frac{\ fl \ oz}{\ hours}\\\\[/tex]"

Step-by-step explanation:

rate[tex]=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

Requird

Calculating the rate as per hour:

[tex]rate=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

there are 168 hoours in week so the ate becomes

[tex]rate=\frac{91 \ fl oz}{2.5 \times 168 \ hours}\\\\[/tex]

       [tex]=\frac{91 \ fl oz}{420 \ hours}\\\\= 0.2167 \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

        [tex]=0.22 \ \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

Answer:

g > -6

Step-by-step explanation:

-6(g+4) < 12 (Given)

-6g - 24 < 12 (Distributive Property of Inequality)

-6g < 36 (Addition Property of Inequality)

g > -6 (Division Property of Inequality)

Sign Changes Since it was divided by a Negative number.  

Answer:

900° and 1260°

Step-by-step explanation:

The sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

(2)

Here n = 7 , then

sum = 180° × 5 = 900°

(3)

Here n = 9 , then

sum = 180° × 7 = 1260°

Answer:

4) 18.8

Step-by-step explanation:

What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp

the degrees is 70, the opposite is x, and the hypotenuse is 20

sin(70) = x/20

0.93969262078 = x/20

18.7938524 = x

18.7938524 rounds to 18.8 so the answer is 4

Answer:

A

Step-by-step explanation:

You pay for each round a ticket so the variable will be with 6.25

Answer:

7

Step-by-step explanation:

When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

The equation should basically be done in that order.

There are no parenthesis,

no exponents,

But there IS multiplication.

1 x 10 = 10.

So now, what is left over is 10 - 3.

There addition, but there IS subtraction.

10 - 3 = 7.

7 is what is left over.

Therefore, 1 x 10 - 3 in standard form is 7.

Answer:

If im not wrong, it has to be "How much does your dog weigh"

Step-by-step explanation:

Answer: m = 3/4

Step-by-step explanation:

Answer: The slope is 3/4

Step-by-step explanation:

Use y2-y1/x2-x1 to find it

Answer:

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

Step-by-step explanation:

possible outcomes = 21+9+18+12 = 60

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

The probability of playing a rap song is 3/20.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

0.71 An MP3 player has 60 songs.

The sample space is the number of songs stored in MP3 player.

⇒ [tex]n(s)=60[/tex]

Number of rock songs, [tex]n(rock)=21[/tex]

Number of rap songs, [tex]n(rap)=9[/tex]

Number of dance songs, [tex]n(dance)=18[/tex]

Number of country songs, [tex]n(country)=12[/tex]

Formula for the probability of an event is [tex]P(e)=\frac{n(e)}{n(s)}[/tex]

Probability of playing a rock song, [tex]P(rock)=\frac{21}{60}[/tex]

⇒ [tex]\frac{7}{20}[/tex]

Probability of playing a rap song, [tex]P(rap)=\frac{9}{60}[/tex]

⇒ [tex]\frac{3}{20}[/tex]

Probability of playing a dance song, [tex]P(dance)=\frac{18}{60}[/tex]

⇒ [tex]\frac{9}{20}[/tex]

Probability of playing a country song, [tex]P(country)=\frac{12}{60}[/tex]

⇒ [tex]\frac{1}{5}[/tex]

Hence we can conclude that the probability of playing a rap song is 3/20.

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