Which statement about a right triangle is true? The length of each leg equals 12 of the hypotenuse.
The square of the hypotenuse is equal to the sum of the squares of the legs.
One leg is always longer than the hypotenuse.
A right triangle can have only one obtuse angle.

Answer:

The answer is c hope it helps.

Step-by-step explanation:

Hence, option (C) is correct.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

The analysis of events governed by probability is called statistics.

As per the given information it would be option (C) i.e., it is likely

Hence, option (C) is correct.

To know more about the probability?

https://brainly.com/question/12629667

#SPJ5

m = 3 is the slope of the given line; also its the slope of anything parallel to the given line

(x1,y1) = (1,3) is the given point the parallel line goes through

y - y1 = m(x-x1) .... point slope form

y - 3 = 3(x - 1) .... plug in the given values; solve for y

y - 3 = 3x - 3

y - 3+3 = 3x - 3 + 3

y = 3x + 0

y = 3x

Final Answer: y = 3x

side note: if you plugged in x = 1 it leads to y = 3 which confirms that (x,y) = (1,3) is on this parallel line.

Answer:

The correct answer is The graph of f(x) is horizontally stretched.

Step-by-step explanation:

We can tell it is horizontally stretched by the fact that there is a coefficient of less than 1 in the front.

We know that (-4, 6) isn't a vertex, because it is in vertex form. The vertex is the opposite of the number being added to x and the y value is the constant. Since the constant is -6, it is not a vertex.

The negative coefficient in the front makes it open down, so it doesn't open up.

The domain should be all real numbers as there is no number that cannot be put into the equation.

Answer:

She must sell $1,300 to make her goal.

Step-by-step explanation:

In order to find this you can create an equation in which x is the total number of sales she makes. Firstly, you know she gets 10% (or .1) of that number.

y = .1x

We also know that she works 10 hours at $7 per hour. That means we can add $70 to the end.

y = .1x + 70

Now we are looking to make $200, which means we can put 200 in for y and solve for the total amount of sales.

200 = .1x + 70

130 = .1x

1,300 = x

Final answer:

Michelle must generate at least $1300 in sales each week to achieve her weekly earnings goal of $200, given that she works 10 hours per week at an hourly wage of $7 and earns a 10% commission on sales.

Explanation:

To calculate the total sales Michelle must achieve to reach her goal of $200 per week when she earns $7 per hour and a 10% commission on the sale price of each item, we'll set up an inequality. Michelle wants to work only 10 hours each week.

Her earnings from the hourly wage are $7hour times 10 hours, which gives us $70. Now, let's say the total sales she needs to make are represented by x. Therefore, 10% of x represents her earnings from commission. Michelle's weekly earnings goal is $200, so we can write the inequality as:

Hourly earnings: $7*10 hours = $70

Commission earnings: 10% of x (0.10x)

Total earnings (hourly + commission): $70 + 0.10x [tex]\geq[/tex] $200

To find the total sales required, we solve the inequality for x:

$70 + 0.10x [tex]\geq[/tex]$200

0.10x [tex]\geq[/tex]$130

x  [tex]\geq[/tex] $1300

So Michelle must generate at least $1300 in sales to meet her weekly earnings goal of $200.

Answer:

Mean: 57; Range: 19

Step-by-step explanation:

[tex]\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\27x^3-125=3^3x^3-5^3=(3x)^3-5^3=(3x-5)[(3x)^2+(3x)(5)+5^2]\\\\=\boxed{(3x-5)(9x^2+15x+25)}[/tex]

Answer:

See image for answer

Step-by-step explanation:

I drew lines connecting the center of dilation and the points. Then, I divided the x-coordinate and the y-coordinate by 2 and I got the point. I did the same thing for the rest of the points and then connected them into a triangle.

5±x[tex]\frac{-3}{√8}[/tex] is an irrational number because there's a radical in the denominator. It wouldn't result in a whole number. It would have to be rationalized or smth

Answer: c[p(g)] = 0.896g

Step-by-step explanation:

Answer:

unlikely

Step-by-step explanation:

there is less that a 50 % chance

Answer:

unlikely is the answer

Answer:

answer is 525.

Hopefully I could Help :)

Answer:

x=22

Step-by-step explanation:

1408/64

Answer:

22

Step-by-step explanation:

1,408/64

First, we solved the system of equations by substitution and found x = -3, y = -6. Then, by employing the elimination method, we determined the solution to the second system as x = 7, y = 6.

To solve the system of equations by substitution and elimination, let's start with the substitution method.

Solve the system by substitution:

Given equations: 6 = −4x + y and −5x − y = 21.

Step 1: From the first equation, isolate y: y = 4x + 6.

Step 2: Substitute y in the second equation: -5x - (4x + 6) = 21.

Step 3: Solve for x: -9x = 27, so x = -3.

Step 4: Substitute x back into the equation for y: y = 4(-3) + 6 = -6.

Solution: x = -3, y = -6.

Solve the system by the elimination method:

Given equations: 2x + y = 20 and 6x − 5y = 12.

Step 1: Multiply the first equation by 5, and the second by 1, to align coefficients of y.

Step 2: Add the modified equations to eliminate y: 10x + 5y + 6x - 5y = 100 + 12.

Step 3: Combine like terms and solve for x: 16x = 112, so x = 7.

Step 4: Substitute x back into one of the original equations to solve for y: 2(7) + y = 20, so y = 6.

Solution: x = 7, y = 6.

Answer:

(d)              

Step-by-step explanation:

Bond's par value = $500

market value of the bond = 88.754% * 500

                                           = 443.77

Commission rate charged by broker A = 3.1%

Commission of broker A = [tex]\frac{3.1}{100}[/tex]*443.77

                                        = $13.75687

Commission of broker B = $24

Difference between the commission of broker A and broker B = 24-13.756

                                                                                                      = $10.24

Hence, (d) Broker A's commission will be $10.24 less then Broker B's.

Answer:He should take the option one of sales commission of 3.1% on

each bond. If he takes the 2nd option, he is required to pay 24$ per

bond. But if he takes the ist option, he is required to pay 15.5$ per bond.

88.754 is the market rate. Total investment is of 500$. Multiply the commission

rate with the amount and you get 15.5 $. There is a difference of 8.5 dollars

between the two options.

The answer is D

y = x + 4     (*)

x - y = -4    (**)

Substitute (*) to (**):

x - (x + 4) = - 4

x - x - 4 = - 4

- 4 = - 4     TRUE

x ∈ R

y = x + 4

Answer:

x= -8      y= -4

Step-by-step explanation:

SOLVING FOR X

y=x+4

x-y=-4

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

x-x+4= -4

   -4     -4

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

x-x= -8

x= -8

SOLVING FOR Y

plug in the x in any equation

y=(-8)+4

y= -8+4

y= -4

Answer: Choice A)

y + 3 = (2/3)(x - 5)

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

Explanation:

Point slope form is

y - y1 = m(x - x1)

m = 2/3 is the given slope

(x1,y1) = (5,-3) is the point the line goes through

So we have

y - y1 = m(x - x1)

y - (-3) = (2/3)(x - 5)

y + 3 = (2/3)(x - 5)

Answer:

144 is the answer

Answer:

144

Step-by-step explanation:

Steps:

a times b = 3 times 4. That equals 12.

Then you put 12^2. 12 times 12 equals 144.

Answer:

V = [tex]\frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Final answer:

To find the volume of a sphere, use the formula: Volume = 4/3 (pi) (radius)^3

Explanation:

The volume of a sphere can be calculated using the formula:

Volume = 4/3 (pi) (radius)^3

To find the volume, you need to know the radius of the sphere. Plug in the value for the radius and then evaluate the expression using the order of operations. Finally, multiply the result by 4/3 and pi to find the volume of the sphere.

Answer:

Average rate of change = 2

Step-by-step explanation:

We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.

From graph we see that y=-3 when x=-4, So the point is (-4,-3)

From graph we see that y=3 when x=-1, So the point is (-1,3)

Now we can plug these points into average rate of change formula:

[tex]Average\ rate=\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]

where (a,f(a)) and (b,f(b)) are the given points.

[tex]Average\ rate=\frac{-3-3}{-4-\left(-1\right)}[/tex]

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

[tex]Average\ rate=\frac{-6}{-3}[/tex]

[tex]Average\ rate=2[/tex]

Hence final answer is 2.

Answer:

[tex]a \geq \frac{1}{\sqrt{2} -1}[/tex]

Step-by-step explanation:

This equation is more intimidating than the problem you have to solve.

You know that the sine of everything is always between -1 and +1. So for the entire expression to be >= 0, the a*tan(pi/8) bit has to be 1 at least. Given this, we can forget about the sin(...) term of the equation for the remainder of solving it.

You already figured out that tan(pi/8) is sqrt(2)-1.

So what we're saying is a * (sqrt(2) - 1) has to be 1 at least.

If we solve a(sqrt(2)-1) >= 1 for a we get:

a = 1/(sqrt(2)-1)

[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]

[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]

Answer:

A) 25.872

Step-by-step explanation:

A tip when multiplying numbers that are decimals, make the numbers whole numbers without decimals:

862.4 * 10 = 8624

0.03 * 100 = 3

8624 * 3 = 25,872

Then divide by the amount you multiplied the numbers by:

25,872 ÷(100 * 10) = 25.872

So your answer is A) 25.872

Answer:

25.872

Step-by-step explanation:

you just line up the desimals and do your regular multipication.

Answer:

We have 45 dogs when we have 30 cats

Step-by-step explanation:

If the ratio of dogs to cats is 3:2

We want to get to 30 cats so we need to multiply by 15  (2*15 =30)

What we do on one side we do on the other

3*15 : 2 * 15

45 :30

We have 45 dogs when we have 30 cats

Answer:

[tex] \dfrac{5^7}{2} = \dfrac{78125}{2} [/tex]

Step-by-step explanation:

[tex] \left( \dfrac{4}{5} \right)^2 \times 5^4 \times \left( \dfrac{2}{5} \right)^{-2} \div \left( \dfrac{5}{2} \right)^{-3} = [/tex]

[tex] = \dfrac{4^2}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]

[tex] = \dfrac{(2^2)^2}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]

[tex] = \dfrac{2^4}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]

[tex] = 2^{4 - 2 - 3} \times 5^{- 2 + 4 + 2 + 3} [/tex]

[tex] = 2^{-1} \times 5^{7} [/tex]

[tex] = \dfrac{5^7}{2} [/tex]

[tex] = \dfrac{78125}{2} [/tex]

Answer:

7 years

Step-by-step explanation:

Let x  be number of years the populations be equal

City A's population of 1115000 is decreasing at a rate of 15000 per year.

The population is decreasing at a constant rate so we use equation

y= mx + b

where m is the slope(rate), b is the initial population

m= -15000 (decreasing) , b= 1115000

y= -15000 x + 1115000

City B's population of 698000 is increasing at a rate of 45000 per year.

m= 45000 (increasing) , b= 698000

y= 45000 x + 698000

Now we set the equations equal and solve for x

45000 x + 698000 = -15000 x + 1115000

Add 15000 on both sides

60000 x + 698000 = 1115000

Subtract 689000 on both sides

60000 x = 417000

Divide by 60000 on both sides

x= 6.95

So after 7 years the population will be equal.

Final answer:

To find the number of years until the populations are equal, set up an equation based on the population change per year for both cities. Solve for the variable representing years, and round to the nearest whole number. The populations of City A and City B will be equal in approximately 7 years.

Explanation:

To solve for the number of years until the populations of City A and City B are equal, let's set up an equation. Begin with the populations at the starting point: City A has 1,115,000 residents and is losing 15,000 per year, while City B has 698,000 residents and is gaining 45,000 per year. Let x represent the number of years after which the populations will be equal.

For City A, the population after x years will be 1,115,000 - 15,000x. For City B, the population after x years will be 698,000 + 45,000x. Therefore, we can set up the following equation to find when they are equal:

1,115,000 - 15,000x = 698,000 + 45,000x

To solve for x, combine like terms and get all the x terms on one side:

1,115,000 - 698,000 = 45,000x + 15,000x

417,000 = 60,000x

Divide both sides by 60,000 to solve for x:

x = 417,000 / 60,000

x ≈ 6.95

Since we round to the nearest whole number, the populations will be equal in approximately 7 years.

Answer:

36 fruit tarts

Step-by-step explanation:

90 x .40 = 36

Answer:

true

Step-by-step explanation:

The angle bisector and perpendicular bisector of a triangle are distinct concepts.

False: The angle bisector and perpendicular bisector of a triangle are distinct concepts.

The angle bisector of a triangle divides the opposite angle into two equal angles, while the perpendicular bisector of a segment is a line perpendicular to a segment at its midpoint.

It is possible for the angle bisector of a triangle and the perpendicular bisector of different segments within the triangle to coincide, but in general, they are not the same.

Answer:

The y coordinate is -3

Step-by-step explanation:

To find the midpoint, we use

midpoint = (x1+x2)/2, (y1+y2)/2

You only ask for the y coordinate.

y midpoint = (y1+y2)/2

y midpoint = (8+-14)/2

                 = -6/2

                   = -3

Answer:

-3

Step-by-step explanation:

usatestprep answer

Answer:

The rate of change per year equals: (125.000-180000)/ 5= -11000

That means that the business loses 11000 $ each year

Step-by-step explanation:

g(2) This means that x is 2, so you can plug in 2 for "x" in the equation

g(x) = 5x + 1

g(2) = 5(2) + 1

g(2) = 10 + 1

g(2) = 11

To find the value of the function 'g(x) = 5x + 1' at x = 2, we substitute x with 2. Multiply 5 by 2 to get 10, then add 1 to get 11, so g(2) = 11.

In the given function g(x) = 5x + 1, we are asked to find the value of g(2).

https://brainly.com/question/35863537

#SPJ2