The angles in a triangle are in the ratio 1 : 2 : 3.

Neil says

This is a right-angled triangle.

Is Neil correct?

Answer:

The answer to the logarithm is 2 so inputting this into the equation it would now be 2 ( 4 + 6) - 2(4) = 4 now solving it would be 20 - 8 which is 12/3 which is 4 so the final answer will be 1/4.

Step-by-step explanation:

Step-by-step explanation:

11/4 or 2¾

easy peasy....

Answer:

-2.1°F

Step-by-step explanation:

We will subtract 28.8°F from 30.9°F and then reverse our answer.

30.9°F - 28.8°F = 2.1°F

= -2.1°F.

Answer: -2.1°F

The correct answer is -2.1°F. You do this by simply subtracting 28.8 by 30.9. When doing this, you get -2.1. So the temperature at midnight was -2.1°F.

Step-by-step explanation:

Hope this helps =)

Answer:

123

Step-by-step explanation:

Squaring the given equation gives

[tex]t^2+(2\cdot t \cdot \frac{1}{t} )+ \frac{1}{t^2}=9.[/tex]

The [tex]t[/tex] and [tex]\frac{1}{t}[/tex] terms cancel out nicely, which is one of the reasons for squaring the equation.

Simplifying gives

[tex]t^2+2+\frac{1}{t^2}=9,[/tex]

[tex]t^2+\frac{1}{t^2}=7.[/tex]

The question asks for [tex]t^5+\frac{1}{t^5},[/tex] so we can square the equation again and simplify to get higher powers into the expression:

[tex](t^2+\frac{1}{t^2})^2=49,[/tex]

[tex]t^4+(2 \cdot t^2 \cdot \frac{1}{t^2}) + \frac{1}{t^4}=49,[/tex]

[tex]t^4+2+ \frac{1}{t^4}=49,[/tex]

[tex]t^4+\frac{1}{t^4}=47.[/tex]

Multiplying this expression by [tex]t+\frac{1}{t}[/tex] to try and get a fifth power gives

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

The only thing left we need is [tex]t^3+\frac{1}{t^3}[/tex] to subtract from this; we know everything else. Since [tex]t^3+\frac{1}{t^3}[/tex] can be written as [tex](t+\frac{1}{t})(t^2-1+\frac{1}{t^2}),[/tex] we can simply plug in the values we know for [tex]t+\frac{1}{t}[/tex] and [tex]t^2+\frac{1}{t^2}:[/tex]

[tex]t^3+\frac{1}{t^3}=(3)(7-1)=18.[/tex]

All that is left is to plug it in our equation here:

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

[tex](47)(3)=t^5+\frac{1}{t^5}+18,[/tex]

Multiplying and rearranging gives:

[tex]t^5+\frac{1}{t^5}=123.[/tex]

Answer:

x=20  and  x=-50

Step-by-step explanation:

To find the roots, we need to simply solve for x. We do this by first moving all of the terms to the left and setting the right side equal to 0.

-1000

x^2+30x-1000=0

Now, factor it.

What adds up to 30 but multiplies to get -1000?

-10 and 40? No, because they multiply to get -400.

-20 and 50? Yes, because they add up to 30 and multiply to get -1000.

(x-20)(x+50)

x-20=0

x=20

x+50=0

x=-50

So, the roots are x=20 and x=-50

Given :-

To Find :-

Solution :-

As we know that if the quadratic equation is in standard form which is ,

[tex] ax^2+bx + c =0[/tex]

Then its roots are given by ,

[tex] x =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

So on converting the equation in standard form ,

[tex] x^2+30x -1000=0[/tex]

With respect to the standard form ,

Substitute in the Quadratic formula ,

[tex] x =\dfrac{-30\pm \sqrt{(30)^2-4(1)(-1000)}}{2(1)}[/tex]

Simplify,

[tex] x =\dfrac{-30\pm\sqrt{900+4000}}{2}[/tex]

Add the numbers inside square root ,

[tex] x =\dfrac{-30\pm\sqrt{4900}}{2}[/tex]

Divide each term in numerator by 2,

[tex] x =\dfrac{-30}{2}\pm\dfrac{\sqrt{70^2}}{2}[/tex]

Simplify ,

[tex] x = -15 \pm 35 [/tex]

Separate the two solutions ,

[tex] x = -15 + 35 , -15 -35[/tex]

Simplify ,

[tex]x = 20 , -50 [/tex]

Hence the solution of the equation are 20 and -50 .

I hope this helps.

When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.

From the question, we understand that the new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1

The line x = 1 is a vertical line that passes through the x-axis at x = 1.

To reflect the urn across x = 1, we simply flip the urn over the line.

See attachment for the diagram

Read more about reflection at:

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When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.

The new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1

The line x = 1 is a vertical line that passes through the x-axis at x = 1.

To reflect the urn across x = 1, we simply flip the urn over the line.

_______|________

\              |              /

 \            |            /

 /            |            \

/______|_______\

             |

(copy and paste for the people that have to "draw" this out on odyssey ware <3) p.p.s just copy the thing. it won't paste correctly.

According to the diagram:-

Exterior angle is equal to the sum of two opposite interior angle

[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]

The value of x from the figure is 6

The sum of the interior angles of a triangle is equal to its exterior

Acording to the figure shown;

6x + 8 + 5x + 8 = 82

11x = 82 - 16

11x = 66

Divide both sides by 11

111x/11 = 66/11

x = 6

Hence the value of x from the figure is 6

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Answer: I GOT YOU

Step-by-step explanation: The poster says, "Open an account of ​$3,500 and earn at least ​$10 interest in 1​ month!" is correct

He decides to make a poster advertising a simple interest rate of 4.8%.  

We have to find what must the principal be if the bank manager also wants to advertise that one can earn  $10 the first month

So, the statement is correct.

Hence, the amount to be invested is $2500 and the poster says correctly.

Answer: 4,000

Step-by-step explanation: Dont feel like explaining, just trust me.

Answer:

21

Step-by-step explanation:

Let x = number of t-shirts

Let y = total cost

If the company charges $3 per shirt, plus a $50 flat fee for shipping:

⇒ y = 50 + 3x

If the school spends $113 total, subtitute y = 113 and solve for x:

⇒ 113 = 50 + 3x

⇒ 113 - 50 = 3x

⇒ 63 = 3x

⇒ x = 63 ÷ 3

⇒ x = 21

Therefore, the choir bought 21 t-shirts

Solution:

Note that:

Solve the equation to find out how many shirts did the school choir bought.

The school choir bought 21 shirts.

Explanation:

Divide the distance (750) over the time (10) to get the speed

750/10 = 75

The velocity is made up of the speed and the direction. Therefore, her velocity is 75 meters per minute north. For each minute, she moves another 75 meters north.

Answer:

I think its 4 because the y intercept should be at -5 and it looks like oits going t a slope of 2. SO i think 4 is correct

Step-by-step explanation:

SOLUTION:

=) (4a)² + 18 = 118

=) 16a + 18 = 118

=) 16a = 118 - 18

=) a = 100/16

=) a = 6.25

Answer:

2.5

Step-by-step explanation:

(4a)^2 + 18 = 118

16a^2 = 100

a^2 = 100/16

a^2 = 25/4

a = 5/2 = 2.5

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G  (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

Answer:  y =  mx+cG =  A100​G =  A100​G =  A100​

Step-by-step explanation:  Solve for c

c=y−mx  

{

m=−

x

c−y

​

,

m∈R,

​

x



=0

y=c and x=0

​

Answer:

y= -2x+1

Step-by-step explanation:

The slope of the line is -4/2, which gets simplified to -2. Then, the line passes through y-intercept (0,1), which becomes +1 as the y-intercept in y=mx+b form. Therefore, the equation is y= -2x+1. I'm 100% sure this is right. Hope that helps :)

Answer:

1999 The most points scored in an NHL career is 2,857, achieved by Wayne Gretzky (Canada) while playing for the Edmonton Oilers (Canada), Los Angeles Kings, St Louis Blues and New York Rangers (all USA) from 1979 to 1999. The points total comprises 894 goals and 1,963 assists in 1,487 games.

Step-by-step explanation:

a) Wayne Gretzky's average points per game is approximately 1.9202.

b) Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

a) To calculate Wayne Gretzky's average points per game, we divide the total points scored (2857) by the total number of games played (1487):

Average points per game = Total points scored / Total games played

Average points per game = 2857 / 1487 ≈ 1.9202

Wayne Gretzky's average points per game is approximately 1.9202.

b) To find out how many more points Wayne Gretzky would have scored if he had played 79 more games, we can use the average points per game calculated in part (a).

We know that his average points per game is approximately 1.9202. So, to find the additional points in 79 games, we can multiply the average points per game by the number of additional games:

Additional points = Average points per game * Additional games

Additional points = 1.9202 * 79 ≈ 151.5438

Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

To know more about average points:

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#SPJ2

Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

Answer: either -65 or -2.6

Hope this helps

It depends on the way you do the math, but Its one of those.

Answer:

Volume: 198in³

Step-by-step explanation:

L x W x H

length x width x height

Length = 8in

Width = 4 1/2in or 4.5in

Height = 5 1/2in or 5.5in

8 x 4.5 x 5.5 = 198in³

Answer:

198 inches cubed

Step-by-step explanation:

The formula for volume for a rectangular prism is V=whl or volume equals width x height x length. I'm personally not a huge fan of fractions, so I convert 4 1/2 to 4.5 and 5 1/2 to 5.5. If you multiply 4.5 (the width), 8 (the length), and 5.5 (the height) together, you get 198 inches cubed.

Have an amazing day!

[:

Answer: (0,1)

Step-by-step explanation:

Coordinates of the points are (-4,-3) and (4,5) so the midpoint is

((-4+4)/2,(-3+5)/2) = (0,1)

Answer:

26.32

Step-by-step explanation:

50 + 9.5x = 300

9.5x = 250

x = 26.32

Have a good day!

Step-by-step explanation:

[tex]x - 6 < - 4[/tex]

[tex]x - 6 + 6 < - 4 + 6[/tex]

[tex]x < 2[/tex]

Answer:

225,000 (selling price) 75,000 (profit)

Step-by-step explanation:

x = (150,000 ÷ 2) x 3

x = 75,000 x 3

x = 225,000

225,000 (sell) - 150,000 (cost)

= 75,000 (profit)

Answer:

Number 1

Step-by-step explanation:

Answer:

Assuming those triangles are both right, the answer is 5.3

Step-by-step explanation:

To find the cost of the tip, we need to find 120% of 39.50.

120% = 100% (order) + 20% (tip)

Let's use fractions. 39.50 can be put over 1, and 120 can be put over 100.

Equation:

[tex]\frac{39.50}{1} \times \frac{120}{100} =?[/tex]

Multiply:

[tex]\frac{39.50}{1} \times \frac{120}{100} =\frac{4740}{100}[/tex]

Divide 4740 and 100 by 100:

[tex]\frac{4740 \div 100}{100 \div 100} = \frac{47.4}{1}[/tex]

The total cost of the food is $47.40.

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Distance formula for calculating the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

[tex]c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\[/tex]

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

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Answer:

slope is 46

Step-by-step explanation:

picture

The cost price of this television set is equal to $447.87.

Given the following data:

To calculate the cost price:

In this exercise, you're required to determine the cost price of a television set that was sold for $421.

Mathematically, cost price is given by this formula:

[tex]Cost\;price = \frac{Selling\;price \times 100}{100-Percentage\;loss}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Cost\;price = \frac{421 \times 100}{100-6}\\\\Cost\;price = \frac{42100}{94}[/tex]

Cost price = $447.87.

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An$41 dollars left to spend

Step-by-step explanation:

The statement that must be true about the two similar triangles based on the triangle similarity theorem is: option 2 and option 3.

The triangle similarity theorem states when a segment intersects the other two sides of a triangle, and the segment is parallel to the third side, then the two triangles formed are similar, and the corresponding sides are proportional to each other.

Given that line segment BD is parallel to line segment AE, therefore, triangles CBD and CAE are similar triangles, their corresponding angles are congruent, while their corresponding sides are proportional.

Therefore, the statement that must be true about the two similar triangles based on the triangle similarity theorem is: option 2 and option 3.

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