Find the range for the measure of the third side of a triangle given the measure of two sides.
10.5 cm, 4 cm
Oa. 4 cm Ob. 4 cm >x> 10.5 cm
Oc. 6.5 cm >x> 10.5 cm
Od. 6.5 cm

Answer:

i got y = 5x but not sure

Step-by-step explanation:

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =42\\ s=12 \end{cases}\implies 12=\cfrac{(42)\pi r}{180}\implies 12=\cfrac{7\pi r}{30} \\\\\\ 360=7\pi r\implies \cfrac{360}{7\pi }=r\implies 16.37\approx r\)

Answer:16.37 in.

Step-by-step explanation:

what do u need to know? coordinates?

Step-by-step explanation:

The Residual is 0.944 kg.

The discrepancy between a response variable's observed value and its expected value as predicted by the regression line.

Given:

Residual is typically defined as actuals minus predicted.

The prediction is calculated from

W = −6.07 + 0.1693L

W = −6.07 + 0.1693(48)

W = 2.0564 kg

And, The actual was 3 kg

So, the residual

= 3 - 2.0564

= 0.9436

= 0.944 kg

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The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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The union of sets B and A is given as follows:

B U A = {a, b, g, h, j, k}.

The intersection of sets B and A is given as follows:

B ∩ A = {}.

The union and intersection sets of multiple sets are defined as follows:

The sets in this problem are disjoint, meaning that they have no common elements, hence:

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When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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Answer:a

Step-by-step explanation:

Answer:

x = -3; y = 2

Step-by-step explanation:

5x + 2y + 19 = 0

3x + 4y + 17 = 0​

-10x - 4y - 38 = 0

3x + 4y + 17 = 0

-7x - 21 = 0

x = -3

5(-3) + 2y = -19

2y = -4

y = -2

Answer: x = -3; y = 2

Answer:

x=5 over 2 (it's a fraction)

Step-by-step explanation:

STEP 1 distribute : 4-1 (2x+4)=5

4-2x-4=5

STEP 2 subtract: 4-2x-4=5

-2x=5

STEP 3 divide both sides of the equation by the same term:

-2x=5

-2x 5

----- ------

-2 -2

STEP 4 simplify:

cancel the terms that are both the numerator and denominator

divide the numbers

x= - 5 over 2 (fraction)

I hope this helps

Step-by-step explanation:

has been given in the photo

Answer:

0.4374

Step-by-step explanation:

Answer:

0.4374

Step-by-step explanation:

\(0.405 \times 1.08\)

\( \boxed{\green{\boxed{\bold{= 0.4374}}}}\)

Multiply the polynomials using the distribution method:

Disjunctive Syllogism is the logical form of the given argument. Therefore, the correct option is option A.

An argument seems to be a statement or set of claims, known as premises, that seeks to assess the plausibility or acceptance of a conclusion. The logical, dialectical, and rhetorical perspectives are the three basic areas of study for arguments.

An argument in logic can be defined as a collection of propositions whereby a single one is tried to claim to follow the rest through deductively obtain reasonable that maintain truth from either the premises towards the conclusion. Disjunctive Syllogism is the logical form of the given argument.

Therefore, the correct option is option A.

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Answer:

$9.85

Step-by-step explanation:

7+2.85

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

The balloon's vertical distance above the ground is given as follows:

h = 10.7 ft.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle of 24º, we have that:

Hence the height is obtained as follows:

tan(24º) = h/24

h = 24 x tangent of 24 degrees

h = 10.7 ft.

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Answer:She has to pay $20078.7 amount.

Step-by-step explanation:

Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.

To find : How much will she pay altogether?

Solution :

Using compound interest formula,

A = P(1 + r)

Where A is the amount

P is the principle P=17,000

P is the rate r=4.25%=0.0425

t is the time t= 4 years

Substitute the value,

Therefore, She has to pay $20078.7 amount.  

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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Answer:

A. \(\frac{24}{25}\)

Answer:

-1040 feet

Step-by-step explanation:

Since the altitude decreases at 40 feet per second, we can find the change in altitude by multiplying -40 by the number of seconds:

So, multiply -40 by 26:

-40(26)

= -1040

So, the change in altitude will be -1040 feet

The sum οf the terms preceding the 49/5th term is 38/21.

A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.

Let the first term οf the Iinear sequence be represented by 'a' and the cοmmοn difference be represented by 'd'. Then, we have:

The sum οf the first 21 terms:

S21 = (21/2) * [2a + (21-1)d] = 28

The sum οf the first 28 terms:

S28 = (28/2) * [2a + (28-1)d] = 21

SimpIifying these equatiοns, we get:

42a + 420d = 28 -----(1)

56a + 1540d = 21 -----(2)

MuItipIying equatiοn (1) by 2 and subtracting it frοm equatiοn (2), we get:

112d = -35

d = -35/112

Substituting this vaIue οf d in equatiοn (1), we get:

42a - (35/8) = 28

42a = 329/8

a = (329/8) * (1/42) = 329/336

Therefοre, the nth term οf the sequence is given by:

an = a + (n-1)d

an = (329/336) + (n-1)(-35/112)

We want tο find the term in the sequence that is equaI tο 0, sο we set an = 0 and sοIve fοr n:

0 = (329/336) + (n-1)(-35/112)

35n = 329/8 + 35/112

35n = 343/8

n = 49/5

Therefοre, the term in the sequence that is equaI tο 0 is the 49/5th term.

Tο find the sum οf the terms preceding this term, we need tο find the sum οf the first (49/5 - 1) = 44/5 terms. This can be fοund using the fοrmuIa fοr the sum οf the first n terms οf an arithmetic sequence:

Sn = (n/2) * [2a + (n-1)d]

S44/5 = (44/10) * [2(329/336) + (44/5 - 1)(-35/112)]

S44/5 = 38/21

Therefοre, the sum οf the terms preceding the 49/5th term is 38/21.

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Answer:

Peat's Pizza is is the one Tina should order from.

Step-by-step explanation:

If 4-pizzas from Peat's Pizza is 26 dollars, and she wants to order the 4 pizza special, Multiply 26 and 10 to get $260. Now if she wanted to order 4 times from Pizza Palace, which costs 75 dollars for 10 pizzas, Multiply the cost, 75, and the amount of times you want to order, to get the total cost. (Please tell me if I'm wrong! I'm trying to identify what I can.)

Answer:

103%

Step-by-step explanation:

if each square represents 1 whole and the entire first square is shaded that is 100 plus the 3 on the second square is 103

Answer:

103%

Step-by-step explanation:

Square 1 =

10 x 10 = 100

Hence,

100 = 100%. / 1 = 1%

Therfore,

3 = 3%

Which equals:

100% + 3% = 103%

Payton will make money after 14 weeks is $378.

Income is the money your business takes in and expenses are what it spends money on. Your net income is generally your revenue, or all the money coming into your business, minus all of your expenses.

For the given situation,

Item Expenses Revenue after 1 week

Number of Cups = $5

Number of Lemonade = $6

Number of Ice = $7

Total revenue, Income = $45

Formula to find the net income,

Net Income = Total Revenue - Total Expenses

⇒ Net Income = \(45 - ( 5+6+7 )\)

⇒ Net Income = \(27\)

Thus net income for 14 weeks = \(14\) × \(27\)

⇒ \(378\)

Hence we can conclude that Payton will make money after 14 weeks is $378.

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Before adding the vectors, we will write them in ordered pair notation.

The first vector is represented by the ordered pair:

The second vector is represented by the ordered pair:

simplifying we get:

Adding the vectors, we get:

Therefore, the magnitude of the resultant vector is:

Simplifying the above result, we get:

The required inequality is k > -8.48. Option A is correct.

Given that,

To determine the equivalent expression to the k / -1.6 > -5.3

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,

As per the given condition, we have to simplify the given expression to get the equivalent expression,

k / -1.6 > -5.3

k > -1.6 (-5.3)

k >- 8.48.

Thus, the required inequality is k > -8.48. Option A is correct.