Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]

so,  

[tex]Point \ A(-8,-3)[/tex]

[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]

so,  

[tex]Point \ B(-4,-1)[/tex]

[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]

so,  

[tex]Point \ C(0,1)[/tex]

[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]

so,  

[tex]Point \ D(2,2)[/tex]

[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]

so,

[tex]Point \ E(6,4)[/tex]

Answer:

The equation would be y=m-2+6

Step-by-step explanation:

Have a great day :)

Answer: 14 hours

Step-by-step explanation:

Let the number of hours of TV that Jamie watched be represented by x.

Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5

Together, they watched a total of 23 hours of tv last week. Therefore,

x + (x + 5) = 23

2x + 5 = 23

2x = 23 - 5

2x = 18

x = 18/2

x = 9

Jamie watched 9 hours of TV

Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

Answer:

[tex] 3x + y = 2 [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]

[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]

[tex] y - 5 = -3(x + 1) [/tex]

[tex] y - 5 = -3x - 3 [/tex]

[tex] 3x + y = 2 [/tex]

Answer:

slalalallalalalalalalalalallapapapqpqpq

1.4

2.3

3.7

solution 1

2+2+=4

solution 2

3

Answer:

1.4142135

Step-by-step explanation:

Answer:

Step-by-step explanation:

xa+yb=c

xb+yc=a

xc+ya=b

add

x(a+b+c)+y(a+b+c)=a+b+c

x+y=1 ... (1)

xac+ybc=c²

xab+yac=a²

xbc+yab=b²

add

x(ab+bc+ca)+y(ab+bc+ca)=a²+b²+c²

[tex]x+y=\frac{a^2+b^2+c^2}{ab+bc+ca} \\\frac{a^2+b^2+c^2}{ab+bc+ca} =1\\a^2+b^2+c^2=ab+bc+ca\\a^2+b^2+c^2-ab-bc-ca=0\\a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(0)=0\\a^3+b^3+c^3=3abc\\\frac{a^3}{abc} +\frac{b^3}{abc} +\frac{c^3}{abc} =3\\\frac{a^2}{bc} +\frac{b^2}{ca} +\frac{c^2}{ab} =3[/tex]

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

Answer: Sheldon has made 50 cookies

Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50

The number of cookies made by Sheldon will be equal to 50.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.

Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.

Twenty divided by two equals 10 because the third one is only half full.

There are ten cookies on the third tray.

The total is,

20+20+10 = 50.

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Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

Answer:

should be 1/2 as your answer

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

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

Answer:

a²-7ab+7b²-2

Step-by-step explanation:

3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2

Answer: D

Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.

The angle x will be equal to 128 degrees. The correct answer is option D.

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

The angle x will be calculated as below:-

Angle x = Sum of angles made by two intersecting chords / 2

Angle x = ( 54 + 202 ) / 2

Angle x  = ( 256 / 2 )

Angle x  = 128 degrees

Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.

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Answer:

d=2

Step-by-step explanation:

We are given equation:

sqrt(4y-3)=d-y

Squaring both sides gives:

4y-3=(d-y)^2

Applying the identity (x+y)^2=x^2+2xy+y^2 on right:

4y-3=d^2-2dy+y^2

Now let's y=7:

4(7)-3=d^2-2d(7)+(7)^2

Simplify:

25=d^2-14d+49

Subtract 25 on both sides:

0=d^2-14d+24

Factor left:

0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24

This gives d=12 or d=2.

The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous

Since 2-7 is -5, then d=2 is what we are looking for.

Check:

sqrt(4y-3)=d-y

Set d=2: sqrt(4y-3)=2-y

Now solve for y:

Square both sides: 4y-3=4-4y+y^2

Subtract 4y and 3 on both sides: 0=7-8y+y^2

Reorder right side: 0=y^2-8y+7

Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7

This gives y=7 or y=1.

Plugging in y=7 for a check to this equation gives:

sqrt(4×7-3)=2-7

Sqrt(25)=-5

5=-5 which is not true which is what we wanted

Answer: 90 degrees

Step-by-step explanation:

Answer:

The promoters profit would be $46,350 if they sell 850 tickets

Step-by-step explanation:

The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits

Hope this helps :)

Answer:

7.5 square units

Step-by-step explanation:

3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.

Answer:

7.5 sq units

Step-by-step explanation:

Let's list out all the points in the triangle.

(0,4) (4,1) and (5,4)

Find the distance b/w each side

distance b/w (0,4) and (4,1) is

[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]

distance b/w (4,1) and (5,4) is

[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]

distance b/w (5,4) and (0,4) is

[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]

So the given triangle is an isoscles triangle meaning 2 sides are equal.

So we can use the formula 1/2*base*height=

1/2*[tex]\sqrt{10}[/tex]*5

=0.5*3.16*5=7.905

So the approximate answer would be 7.5 sq units

Answer:

option c is the correct answer (l=1 cm and w=42cm)

Step-by-step explanation:

length(l) = 1.00cm

width(w)= 42.00 cm

ACCORDING TO FORMULA

Area of rectangle = l×w

=1 cm × 42 cm

= 42cm^2

Answer:

1/3

Step-by-step explanation:

first day work=1/2

work left=1-1/2=1/2

second day finished=1/3 ×1/2=1/6

work left =1/2-1/6=3/6-1/6=2/6=1/3

Answer:

8%

Step-by-step explanation:

APR means annual percentage rate.

To convert the daily rate to an APR, multiply the daily rate by the number of days in a year

365 days = 1 year

0.02192% x 365 = 8.0008%

To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is 0, so the number would be rounded off to 8%

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

Answer:

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

Answer:

x = 108

Step-by-step explanation:

x is the height

from the Euclidian theorem we know that :

x^2 = 81*144

x^2 = 11664 find the root for both

x = 108

Answer:

I assume that the question is [tex]x^{3} = 216[/tex]

6 * 6 = 36    35*6 = 216

in other words 6*6*6 = 216

Step-by-step explanation: