(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)​

Answer:

75

Step-by-step explanation:

x+60 and 5x are vertical angles, which means they are equal

x+60 = 5x

Subtract x from each side

x+60-x = 5x-x

60 = 4x

Divide by 4

60/4 = 4x/4

15 =x

We want to find x+60

x+60

15+60

75

Answer:

∠GH = 75°

Step-by-step explanation:

x + 60° = 5x° ( vertical angles )

subtract x from both side

x - x + 60° = 5x - x

60° = 4x

divide each side by 4

60°/ 4 = 4x / 4

15 ° = x

To calculate, ∠GH

∠GH = x + 60 °

15 ° + 60° .. ( x = 15°)

= 75°

Answer:

5x-20=3x(alternate angle)

5x-3x=20

2x=20

x=20/2

x=10

now ,

2y +4y+5x-20=180(sum of angles of a triangle)

6y+50-20=180

6y+30=180

6y=180-30=150

y=150/6

y=25

hope this will help

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer

What event will cost the least for 9 tickets?

the wave pool

How much less will this event cost?

$20.25

Hope it helps :)

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

Answer: -42 is the answer.

Answer:

D

Step-by-step explanation:

Equation of the line

y - y1 = m(x - x1)

y - (-4) = 1/3 (x - 3)

y + 4 = 1/3x - 1

y = 1/3 x - 5

the graph that intercept y axis in -5 is the graph D

Answer:

i can't remember how to do this rn because its like 2:30am

C seems like most accurate answer, if this is wrong im really sorry :C

Step-by-step explanation:

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

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

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

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Answer:

12.57 in⠀⠀⠀⠀⠀

Answer:

12.56 inches

Step-by-step explanation:

A= pie x r^2

= 3.14 × 2^2

= 3.14 × 4

= 12.56

Answers:

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

Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3  (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

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

If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

Answer: 6347.218

Step-by-step explanation:

Answer:6,347.218

Step-by-step explanation:

look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

Answer:

10, 100, 1,000, 10,000, 100,000

If you are adding one zero in the end for every number, then 100,000 will be your next number

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

Answer:

295.4 [tex]in^3[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]

= 295.358

≈ 295.4

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]

Answer:

n(n+1)

This is the answer I know

Answer:

10

Step-by-step explanation:

8 and 6 are the numbers you work with

using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]

we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]

64 + 36 = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]

10 = c

Answer:

18 gallons

Step-by-step explanation:

First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.

Answer:

120(1/3)^n-1

This is the correct answer for sure.

Answer:

No.

Step-by-step explanation:

33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.

Answer:

no , it is not a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

33^2 + 56^2 = 66^2

1089 + 3136 = 4356

4225 = 4356

since both sides are not equal it can be concluded that the given side lengths does not form right triangle.

Answer:

forma is h * w / 2 and y and x have no value because there are no numbers to calculate.

Step-by-step explanation:

hope this helps!!!!!

Answer:

h * w/2 OR (base * height) / 2

/ = divide

* = multiply

Step-by-step explanation:

Answer:

-1 ≤ y ≤ 0

Step-by-step explanation:

here, we simply want to know the range of values for sin x over the given interval

The range of values for sin x are simply the values in which y will take over the given interval of x

let’s start with the value sine (-pi)

We have this as;

0

And the value of sin (0) = 0

Recall, between -pi and 0, we have (-pi/2)

so sin (-pi/2) = -1

Thus, we have the correct range of values as;

-1 ≤ y ≤ 0

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]\sqrt{\frac{256}{4} }[/tex]

[tex]\sqrt{\frac{16*16}{2*2} }[/tex]

[tex]\sqrt{(\frac{16}{2})^2 }[/tex]

square and root gets cancel . so ,

[tex]\frac{16}{2}[/tex]

8

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.