The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin theta = ___

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

y - y₁ = m(x - x₁)

x₁ = -3

y₁ = 6

m = 1/2

y - (6) = (1/2)(x - (-3))

y - 6 = 1/2(x + 3)

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

A linear function has points leading up or down in more of a line.  nonlinear is more scattered.                                                                                                                             Hope this helps!

Answer:

Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.

A linear function has a constant additive rate of change.

A nonlinear function does not have a constant additive rate of change.

The graph of a linear function is a straight line, while a nonlinear graph is curved.

The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.

Step-by-step explanation:

The correct answer is

60 Flowers

178+99=277

you can estimate

200+100=300

or

180+100=280

depends on what your teacher is looking for

Our exact sum is 277.

Understanding Addition of Three-Digit Numbers

When it comes to adding three-digit numbers such as 178 and 99, it's essential to align the numbers by their place values before adding. This aligns ones with ones, tens with tens, and hundreds with hundreds. An estimate helps to quickly determine an approximate sum before or after performing the addition.

Example Calculation:

To add 178 and 99, place them in vertical alignment:

7 (tens) + 9 (tens) + 1 (carried over) = 17. Write down the 7, carry over 1 to the hundreds place.

1 (hundred) + 1 (carried over) = 2.
So, the sum is 277.

To estimate the sum of 178 and 99, you could round 99 up to 100 for easier calculation. The estimated sum would then be 178 + 100 = 278, which is very close to our exact sum of 277.

Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.

Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].

the options are

in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:

[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.

in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:

[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.

Im pretty sure your awnswer will be, x=−5/6

Subtract 2/3 from both sides.

x+2/3−2/3=−1/6−2/3

x=−5/6

Best of luck, terribly sorry if im wrong if i am my apologies

~Animaljamissofab ♥

Hey there!!

Given equation :

... x² + 5x - 6

... x² + 6x - x - 6

... x ( x + 6 ) - 1 ( x + 6 )

... ( x - 1 ) ( x + 6 ) is the answer.

Hope my answer helps!!

Well, the fraction 3/5 is in its simplest form, however, 12/15 is not. The fraction can be further simplified.

First, find out what the largest number that can fit into both the denominator (15) and numerator (12) perfectly. This number would be 3.

Next, divide 3 by 12 (which equals 4) and 3 by 15 (which equals 5). This gives you 4/5. The simplest form of the fraction 12/15.

4/5 is larger than 3/5, therefore the answer would be that they are not equivalent.

The fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.

Recall:

Thus, given the fractions, 3/5 and 12/15,

This is why:

12/15 when reduced further will give us: 4/5 if we divide both the denominator and numerator by 3.

Thus:

Therefore, the fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.

Learn more here:

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It will cost $18.

15*6=90

90/5=18

It will cost $18.

The cost of the baseboard for $5 per foot whose length is 15 feet and width is 6 feet will be $ 210.

Given that:

Length of the baseboard = 15 feet

Width of the baseboard = 6 feet

The total space occupied by the baseboard can be calculated using the perimeter of the baseboard.

The perimeter of a rectangle can be calculated using the formula:

[tex]Perimeter = 2 \times(Length + Width)[/tex]

                   = [tex]2 \times(15 + 6)[/tex]

                  = [tex]2 \times 21[/tex]

                  = 42 feet

The cost of the baseboard can be calculated by multiplying the total length (42 feet) by the cost per foot ($5)

[tex]Cost \ of \ baseboard = Total\ length\times Cost \ per \ foot[/tex]

=[tex]42 \times 5[/tex]

= $210

Therefore, the cost of the baseboard for the room would be $210.

Learn more perimeter of a rectangle here:

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Gotcha!

As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.

Answer:

Rate: $32 per 4 shirts.

Unit rate: $8 per shirt.

Step-by-step explanation:

We have been given that 4 shirts for $32.00. We are asked to find the rate and unit rate for given situation.

The rate of the given scenario is $32 per 4 shirts.

To find the unit rate, we will divide total cost by number of shirts as:

[tex]\text{Unit rate}=\frac{\$32}{4\text{ shirt}}[/tex]

[tex]\text{Unit rate}=\frac{\$8}{\text{ shirt}}[/tex]

Therefore, unit rate is $8 per shirt.

There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100

Well each box has 100

but I don't understand what answer you are talking about. Sorry

Compare and Contrast? Yay!

Autocracy

-People have no say in what the dictator or monarch does

-Barely any rights

Democracy

-People have many rights and much say

-Citizens many rights

In Common

-Both have a type of leader (demo.=Pres.  auto.=dictator or monarch)

-Have two different types of it (demo.= direct and representative  auto=dictatorship and monarcy)

Hope this helped :P

Autocracy and democracy are two forms of government that differ in power distribution and decision-making.

Autocracy is a form of government where power is concentrated in the hands of a single ruler or leader. In an autocracy, all major decision-making authority rests with this ruler, who typically exercises unlimited power. Examples of autocracies include absolute monarchies and dictatorships.

Democracy is a form of government where power is vested in the people, who exercise it through elected representatives. In a democracy, citizens have the right to participate in the decision-making process through voting and other forms of political participation. Examples of democracies include the United States and many European countries.

An autocracy and a democracy differ in terms of power distribution and decision-making. In an autocracy, power is concentrated in the hands of a single ruler, while in a democracy, power is distributed among elected representatives and the people. Autocracies often lack the system of checks and balances present in democracies, which can lead to abuses of power. Democracies, on the other hand, prioritize participation and representation, allowing citizens to have a say in the government.

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Answer:

the real answer is 10x^2 + 2x − 9

We know 15 minutes contain 15*60 = 900 seconds, the time for 85 blinks

Then the time for each blink t = 900/85

Time elapsed in seconds for 51 blinks is then 51*t = 900*51/85 = 540 seconds

As the answer wants to know the seconds, find the seconds. 15 * 60 = 900. We know he blinks 85 times in 900 seconds, so divide 900 by 85 to find the rate at which George blinks. 900 / 85 = 10.588. Multiply 10.588 by 51 to find the number of seconds for 51 blinks. 51 * 10.588 = 539.988.

Answer:

[tex]m=\dfrac{8}{3}p[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]

The equation is:

number of pages=reading speed×number of minutes

          p               =          3/8          ×                  m

The correct answer is

p=3/8 m

Solution-

The given statement,

the mean life of a certain type of alkaline battery is no more than 63 months.

Every hypothesis test carries two opposing statements, or hypothesis, about a population parameter. The first hypothesis is called the null hypothesis.

Null hypothesis always states that the population parameter is equal to the claimed value.

If the null hypothesis is rejected, then the alternative hypothesis is going to be claimed.

[tex]\text{Null hypothesis}=H_0:\mu =63[/tex]

[tex]\text{Alternative hypothesis}=H_1:\mu >63[/tex]

In this case, the alternative hypothesis is the claim.

The null hypothesis states that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis states that the mean life of the alkaline battery is less than 63 months.

The null hypothesis, denoted as H0, is the statement that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis, denoted as Ha, is the statement that the mean life of the alkaline battery is less than 63 months. The claim in this case is the alternative hypothesis Ha.

To find the number of hours Mrs. Beckham can spend on a balloon ride, set up and solve an inequality using the given information.

To find the number of hours Mrs. Beckham can spend on a balloon ride, we need to set up an equation using the given information. The cost of the ride is a flat rate of $50 plus $15 per hour of flight time. Let's assume the number of hours Mrs. Beckham can spend on the balloon ride is x. So, the equation becomes 15x + 50 ≤ 85. Now, we can solve this inequality to find the maximum number of hours.

Subtracting 50 from both sides gives us 15x ≤ 35. Dividing both sides by 15, we get x ≤ 35/15 which simplifies to x ≤ 7/3. Since x represents the number of hours and it cannot be negative, the maximum number of hours Mrs. Beckham can spend on a balloon ride is 2 hours.

So the first 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Since a prime number is only divisible by 1 and itself and greater than 1, our answers are 2, 3, 5, and 7. That's 4 numbers, or 4/10=0.4 of the 10. Since percentage is based out of 1, we can multiply 0.4 by 100 to get 40%. I hope that Helped :)

Answer:

2 x + y = 9

Hope this helps :-)

false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.

Answer:

False

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}[/tex]

where, [tex]\bar{x}[/tex] is mean of the distribution.

Here, First distribution is 11,12,13,14,15,16,17,18,19,20,21,22

and Second distribution is 111,112,113,114,115,116,117,118,119,120,121,122

The mean of first distribution is 16.5

and mean of second distribution is 116.5

So the standard deviation of first distribution is 3.605

and the standard deviation of second distribution is 3.605

Hence, standard deviation is same for both distribution.

it's basically -5 plus 4

Which is -1

The temp. at 8am is -1 degrees.

First you would need to find out how much there are paid by the hour, which in this case is $5.75. So the equation would be 5.75t = p, then insert the 22 hours of work to the equation 5.75(22) = p, last solve the answer by mutiply the 5.75(22) which equals 126.50. .

Answer,

S = -16

Explanation,

Step 1: Simplify both sides of the equation.

13 + 11s = − 15 + 8s − 20

13 + 11s = − 15 + 8s + − 20

11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)

11s + 13 = 8s + − 35

11s + 13 = 8s − 35

Step 2: Subtract 8s from both sides.

11s + 13 − 8s = 8s − 35 − 8s

3s + 13 = − 35

Step 3: Subtract 13 from both sides.

3s + 13 − 13 = − 35 − 13

3s = − 48

Step 4: Divide both sides by 3.

3s/3 = −48/3

s = -16

Hope this helps :-)

There are 10 marbles total.

You picked a marble and replaced it 50 times, so you have:

9/50 were purple

16/50 were orange

6/50 were yellow

19/50 were green

Multiply those by the number of marbles:

10*9/50 = 1 4/5 purple, round to 2

10*16/50 = 3 1/5 orange, round to 3

10*6/50 = 1 1/5 yellow, round to 1

10*19/50 = 3 4/5 green, round to 4

2+3+1+4 = 10  

So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.