Can anyone explain how -15 the answer, please

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Answer:

Should be A

Step-by-step explanation:

The x cord increase by 5 for all points.

Y cord decrease by 3 for all points

Answer:

$6.30

Step-by-step explanation:

Alright, so, to find the unit rate (how much 1 pound of corn would cost) you would divide $15.60 by 12 which would get you $1.30.

Cost of 1 pound of corn = $1.30

So the unit rate = $1.30

Now that you know the unit rate, or how much 1 pound would cost, you can find out how much 5 pounds would cost:

$1.30 x 5 = $6.50

Steps:

1. $15.60/12 = $1.30

2. $1.30 x 5 = $6.50

Five pounds of corn costs $6.50 at a unit rate of $1.30.

Hope this helps! :)

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Answer:

$1,365

Step-by-step explanation:

Large Pizza: 40*12= $480

Medium Pizza: 57*10= $570

Small Pizza: 35*9= $315

480+570+315= $1,365

Answer:

It's 1

Step-by-step explanation:

any number or expression divided by itself is 1

Answer:

1

Step-by-step explanation:

The expression (x + 4) / (4 + x) simplifies to 1 because no matter what value you choose for x, when you add 4 to it and add the same value to 4, you always get the same result in the numerator and denominator, making them cancel out and equal to 1.

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

A) It will get to a temperature of 135°F at 9:19 PM

B) It will get to a temperature of 170°F at 9:16 PM

C) By the time passes temperature approaches the initial temperature of 450°F

We are given;

Initial temperature; T_i = 425 °F

Room temperature; T_r = 72°F

From Newton's law of cooling, temperature after time (t) is given by

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 72+ (425 - 72)e^(-5k)

300 - 70 = 353e^(-5k)

230/353= e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 135°F, we can find the time from;

135= 72+ (425 - 72)e^(-5k)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 135°F at 9:19 PM

B) Thus, at temperature of 170°F, we can find the time from;

170= 72+ (425 - 72)e^(-5k)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

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Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The given equation is expressed as

y = - x/3 + 5

By comparing with the slope intercept equation,

slope, m = - 1/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. The negative reciprocal of - 1/3 is 3. Thus, the slope of the line passing through the point, (1, - 10) is 3

We would determine the y intercept, c by substituting x = 1, y = - 10 and m = 3 into the slope intercept equation. It becomes

- 10 = 3 * 1 + c

- 10 = 3 + c

c = - 10 - 3

c = - 13

We would substitute m = 3 and c = - 13 into the slope intercept equation. Thus, the equation of the line is

y = 3x - 13

Option D is correct

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Considering the graph H(w),

As w gets larger, H(w) continues to approach a horizontal asymptote.

Hence, H(w) gets very small.

Therefore, the correct option is option D

Answer:

no coefficient of a variable implies a coefficient of 1

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

The set that represents the range of the function given is -

{-2, 0, 3, 5}

The range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain.

Given is a graph as shown in the image.

For the given graph, the set of {y} coordinates represent the range of the function. So, the set that represents the range of the function given is -

{-2, 0, 3, 5}

Therefore, the set that represents the range of the function given is -

{-2, 0, 3, 5}

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Answer : 8$

you have 1$ left

9514 1404 393

Answer:

  40

Step-by-step explanation:

If the number of questions on the test is Q, then we have ...

  35% × Q = 14

Dividing by the coefficient of Q gives ...

  Q = 14/0.35 = 40

There are 40 questions on the test.

The fraction represented on the number line is equivalent to 2/6 is 1/3.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2/6.

Now we have to find an equivalent fraction to 2/6

Let us divide both numerator and denominator  by the same number 2.

That is, 2÷2/6÷2

= 1/3

Hence, the equivalent fraction is 1/3.

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Answer:  An absolute value inequality is an inequality that contains an absolute value expression. The solution set of an absolute value inequality is the set of all values that make the inequality true.

To solve the given absolute value inequality, |x+3|<9, we can split it into two separate inequalities: x+3<9 and x+3>-9. Solving these two inequalities, we get x<6 and x>-12. Combining these two solutions, we get the solution set for the given absolute value inequality as -12<x<6.

This means that any value of x between -12 and 6 (not inclusive) will make the given absolute value inequality true.

Hope this helps!

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

8√3

Step-by-step explanation:

Let a, b = the positive numbers, and the sum = s,

(1)---- ab = 192

(2)--- a + b = s

Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,

From (1), b = 192/a

Substitute b = 192/a into (2),

s = a + 192/a

Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:

1) find dy/dx

2) Find x from dy/dx = 0

ds/da = 1 - 192/a²

When ds/da = 0,

1 - 192/a² = 0

a² = 192

a = ±√192

a = 8√3 , -8√3

Since a is positive, a = 8√3

Substitute a into (1),

b = 192/(8√3)

b = 8√3

Therefore, the two positive numbers are 8√3... and 8√3

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer:

Difference in area of the last square and the initial square = 440 cm²

Step-by-step explanation:

Length of the side of a square = 1 cm

Area of the square = (side)² = 1 cm²

Addition of side length every minute = 2 cm

After x minutes length of each side of the square = (1 + 2x) cm

If x = 10 minutes

Length of each side of the square = [1 + 2(10)]

                                                         = 21 cm

Area of the square after 10 minutes = (21)²

                                                            = 441 cm²

Therefore, difference in area of the last square and area of the initial square

= 441 - 1

= 440 cm²

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

The piecewise function is defined as follows:

A piece-wise function is a function that has different definitions, based on values of the input x of the function.

For this problem, the intervals are given as follows:

For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence:

y = x² + 4, x < 2.

For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:

y = -x + 4, x ≥ 2.

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If you mean,

\(0.61^{2x + 1} = 39\)

then the answer is going to be

\(x = \frac{log39}{2log \: 0.61} - \frac{1}{2} \)

but if you mean,

\(0.61 ^{2} x + 1\)

then, the answer is going to be, x = 102.123085.