What is the perimeter of the triangle

Answer:

0.11 mph rounded to 3 SF.

Step-by-step explanation:

Speed = distance/time

Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

9514 1404 393

Answer:

Step-by-step explanation:

The marked angles are all "interior" -- between the parallel lines. Ones on the same side of the transversal (t) are called "same-side" or "consecutive" interior angles. Angles 1 and 4, 2 and 3 are pairs of consecutive interior angles.

Angles on opposite sides of the transversal are called "alternate" interior angles. Pairs 1 and 3, and 2 and 4 are pairs of alternate interior angles.

Alternate interior angles are congruent. Consecutive interior angles are supplementary (as are the angles of any linear pair).

__

1) Angles ∠1 and ∠3 are congruent.

__

2) Using the above fact, we can set the expressions for the angle measures equal to solve for x.

  5x -2 = 2x +55

  5x = 2x +57 . . . . . add 2

  3x = 57 . . . . . . . . . subtract 2x

  x = 19 . . . . . . . . . . divide by 3

__

3) Angle 1 is ...

  ∠1 = 5x -2 = 5(19) -2 = 93

Angle 4 is its supplement.

  ∠4 = 180 -∠1 = 180 -93

  ∠4 = 87 . . . degrees

Answer: the divergence of the vector fields at all points its defined is 0

Step-by-step explanation:

Given that;

div ( [x / (x²+ y² + z²)^1.5]i  +  [y / (x² + y² + z²)^1.5]j  +  [z / (x² + y² + z²)^1.5]k )

= d/dx [x / (x²+ y² + z²)^1.5]  +  d/dx [y / (x² + y² + z²)^1.5] +  d/dx [z / (x² + y² + z²)^1.5]

= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]

= [3 / (x²+ y² + z²)^1.5]  -  [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]

= [2 / (x²+ y² + z²)^1.5]   -   [3 / (x²+ y² + z²)^1.5]  = 0

therefore the divergence of the vector fields at all points its defined is 0

Answer:

k = 6 and k = -4

Step-by-step explanation:

To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.

The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).

Possible p-values:

Possible q-values:

Therefore, all the possible values of p/q are:

\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)

To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:

\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)

\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)

\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)

\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)

Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.

Note:

If k = 6, the roots are 1 and -1/6.

If k = -4, the roots are -1 and -1/4.

Answer:

D,p

Step-by-step explanation:

whattttttt ,why is there no option in D

The Probability that a data value is between 27 and 28 is 9.3%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,

Here, mean of the data is 26

P(0 ≤ x - μ ≤ σ/2) = 0.195

P(0 ≤ x - μ ≤ σ/4) = 0.0987

P(σ/4 ≤ x - μ ≤ σ/2) = 0.093

Thus, the Probability that a data value is between 27 and 28 is 9.3%.

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The solution for r is:

r = ln(539)/ln(13) - 9

And an estimation is:

r = -6.5478

Remember the rule for logarithms of powers:

ln(x^n) = n*ln(x)

Now let's look at our equation, here we have:

539 = 13^(r + 9)

We want to solve this equation for r, to do so, we can apply the natural logarithm in both sides:

ln(539) = ln( 13^(r + 9))

Using the rule we can rewrite this as:

ln(539)= (r + 9)*ln(13)

Now just solve the equation for r:

r = ln(539)/ln(13) - 9

And an approximate solution is:

r = -6.5478

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The expression (128 + 32) when rewritten using factoring is 4(32 + 8)

The expression in the question s given as

(128 + 32)

Express the numbers 128 and 32 as the product of their factors

i.e. we factor out 4 from the expression

So, we have

(128 + 32) = (4 * 32 + 4 * 8)

Next, we factor out the common factor (i.e. 4) from the expression

So, we have

(128 + 32) = 4 * (32 + 8)

Rewrite the above expression as follows

(128 + 32) = 4(32 + 8)

Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)

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Answer:

x = 40

you can guess and check.

Answer: $7.95+$1t ?

Step-by-step explanation:

Answer:

I assume the answer would be the burger plus toppings is equal to cost so

7.95+t*1.00=c

The line graph (C) represents the data representation on the line plot option (C) is correct.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have data shown in the table:

The data set value 11 repeated two times, so two dots we will see on the line plot.

The data set value 11(1/2) repeated one time, so one dot we will see on the line plot.

The data set value 11(3/4) repeated two times, so two dots we will see on the line plot.

The data set value 12 repeated two times, so two dots we will see on the line plot.

Similarly, we can check for others.

Thus, the line graph (C) represents the data representation on the line plot option (C) is correct.

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Answer:

distance = rate x time

Step-by-step explanation:

distance = ?

rate = 24 m/s

time = (35 x 60) = 2100 s

thus,

distance = 24 x 2100 = 50400 m

Step-by-step explanation:

hmmm, it is all there, you only need to write it up.

so, please, let me know what you don't understand about such equations and variables.

(a)

2x + 5y = 45

8x + 3y = 44

(b)

to solve this we try to use either one equation to express one variable by the other. and solve for that remaining variable (and then drive the second one from that), or to combine both equations directly to eliminate one variable and solve.

I think the second option is best here.

so, we multiply the 1st equation by -4, and then we add both equations :

-8x - 20y = -180

8x + 3y = 44

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

0 - 17y = -136

-17y = -136

17y = 136

y = 8

2x + 5y = 45

2x + 5×8 = 45

2x + 40 = 45

2x = 5

x = 2.5

to rent a chair costs $2.50.

to rent a table costs $8.00.

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

Step-by-step explanation:

\(L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2\)

Answer:

L=4W-2

P=2L+2W

36= 2(4W-2)+2W

36= 8W-4 +2W

36= 10W-4

36+4=10W

40=10W

40/10=W

W=4

L=4(4)-2

L=14

AREA =L(W)

AREA = 4X14

AREA =48 cm

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

See explanation

Step-by-step explanation:

This is how you are suppoussed to solve it:

Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter

This cannot be solved unless the page is infront of us.

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

I think that these are only the smallest sum of money that can be purchased

Answer:

A)

–2 ≤ x + 5 < 6

I think if I’m not right then I’m sorry

Step-by-step explanation:

Answer:

This is an experiment with blocking ( B )

Step-by-step explanation:

The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a  blocking variable while the weights can be considered  as treatments

A blocking variable is a variable used in experiment which is not of primary interest to the experiment  observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )

Answer:

\(2.83*10^{9}\)

Step-by-step explanation:

Answer:

(-3+5i)(1)=-3+5i

Step-by-step explanation:

The multiplicative identity is given by :

\(a\times 1=a\)

Where

a can be any number

Out of 4 options, in option (2), (-3+5i) is multiplied by 1 and after multiplying we get (-3+5i).

Hence, the correct option is (b).  

Answer:

hello dude

x - 9 = - 12

x = 9 -12

x = -3

HAVE A NİCE NİGHT

Step-by-step explanation:

Greetings from Turkey

We have to,

find the required value of x.

Let's start,

→ x - 9 = -12

→ x = -12 + 9

→ x = -3

Thus, -3 is the value of x.