Please help I’ll mark you as brainliest if correct

The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

If the sides of the triangles are a, b and c. There will be three condition

a + b > c

b + c > a

c + a > b

We have to check these condition

Part 1

The sides are 3, 5 and 7

3 + 5 > 11

8 < 11

It does not form a triangle

Part 2

The sides are 4, 18 and 23

4+18 >23

22 < 23

It does not form a triangle

Part 3

The sides are 5, 9 and 14

5+9 > 14

14 = 14

It does not form a triangle

Part 4

The sides are 7, 12 and 18

7+12 > 18

19 > 18

12 + 18 > 7

30 > 7

7+18 > 12

25 > 12

It forms a triangle

Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

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The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

Step-by-step explanation:

y = -2/3(x) + 1, which is the line through the point (3, -1) and perpendicular to the line y = 3/2(x) + 3.

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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Answer:

A. SAS

Step-by-step explanation:

Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Answer:

In 375 g there are 0.375 kg.

Step-by-step explanation:

Answer:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

Step-by-step explanation:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

90 is half again as much as 60:  60 + (1/2)(60) = 90

This is a 150% increase.

He will be paying $119 to pay off his bill in 5 equal payments.

Given a specified quantity of goods produced, a cost function is a mathematical formula that may be used to determine the overall cost of production. Below, the cost function will be thoroughly examined. a way to show unit expenses in relation to how many units of one or more were generated during a construction project.

Given

Marco ordered 2 reclining chairs for $230 each and a coffee table for $35C

2 reclining chairs

2 × 230

$460

Shipping cost = $100

Total cost = $460 + $35 + $100

Total cost = $595

Marco is going to pay off his bill in 5 equal payments.

Dividing total cost by 5

595/5

119

He will be paying $119 to pay off his bill in 5 equal payments.

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Answer: They are both scalene triangles

Step-by-step explanation: look at the types of triangle

Answer:

not similar

Step-by-step explanation:

They are so not similar

Answer:

0.185 gallons

Step-by-step explanation:

Divide 5/12 by 2 1/4

First convert the improper fraction to a proper fraction, 2 1/4 = 9/4

5/12 ÷ 9/4

= 5/12 × 4/9

= 5/27 = 0.185

The possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B)  = P(A) × P(B).

Events A and B are independent.

P(A and B) = 0.25

we need to find possible probabilities for events A and B.

Probability refers to the occurrence of a random event. The probability of an event is always is between 0 and 1.

The probability for two independent events P(A) and P(B) is

P(A and B)  = P(A) × P(B)

if P(A and B) = 0.25

Solving by putting the option one by one, we get

For P(A)=0.5 and P(B)=0.5, P(A and B)  ≠ P(A) × P(B)

For P(A)=0.25 and P(B)=0.25, P(A and B)  ≠ P(A) × P(B)

For, P(A) =0.20 and P(B) = 0.05,

P(A) × P(B) = 0.25 which is equal to P(A and B).

So, the possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B)  = P(A) × P(B).

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The right answers are:

Hope it helps.

please see the attached picture for full solution

Good luck on your assignment

In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly

The equation is

As 45 is base amount we used it as y intercect

This means that the length of the scarf after x nights can be represented by the equation y = 4.5 + 5x.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To create an equation that shows the relationship between the number of nights Madelyn spends knitting, x, and the length of the scarf in centimeters, y, we need to consider the information given.

We know that the scarf is currently 4.5 centimeters long, and Madelyn plans to add 5 centimeters per night.

This means that the length of the scarf after x nights can be represented by the equation:

y = 4.5 + 5x

In this equation,

x represents the number of nights Madelyn spends knitting and y represents the length of the scarf in centimeters after x nights.

Thus,

The initial length of the scarf, 4.5 centimeters, is added to the length of the scarf Madelyn knits in x nights, which is represented by the product of 5 and x.

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The surface area of the table top that is not covered by the mirror in the form of algebraic expressions is \(5x^2 - 17x +6\,\,m^2\) .

The length of the table top = 5x - 2 m.

The width of the table not covered by mirror is x-3 m.

The surface area of the table top not covered by the mirror is

\($(5x-2)(x-3) = 5x^2 -15x -2x +6 \,\,m^2\)

\($=5x^2 -17x +6\,\, m^2\) in the form of algebraic expressions.

Surface area of cylinder of radius r and height h = \(2\pi r^2 + 2\pi rh\)

Surface area of a cuboid of side length a = \(6a^2\)

Outside area for a sphere of radius r = \(4\pi r^2\)

Surface area of a regular tetrahedron of edge length a = \(\sqrt{3}\,a^2\)

Surface area of a right angled cone of base radius r, and lateral height l = \(\pi r^2 + \pi r l\)

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The cost of the carpet will be $2,335.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The dimensions of the carpet are;

⇒ 15 feet by 18 feet

Now,

The area of the carpet = 15 x 18

                                   = 279 feet²

                                   = 270 / 3 yards²

                                   = 90 yards²

Since, The carpet costs = $25.95 per square yard.

Hence, The carpet cost for 90 yards² = 90 x $25.95

                                                          = $2,335.5

Thus, The cost of the carpet will be $2,335.5.

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Answer:

Contrapositive: If the angle is a right angle then it is not obtuse. True

Explanation:

The statement can be rewritten as:

If the angle is obtuse then it is not a right angle.

So, the initial part of the statement is the angle is obtuse and the consequence is it is not a right angle.

Then, the contrapositive is the negation of the consequence then the negation of the initial part. So, the contrapositive is:

If the angle is a right angle then it is not obtuse.

Additionally, the statement and its contrapositive are equivalent, so when the statement is true, the contrapositive is also true.

Therefore, the answer is:

Contrapositive: If the angle is a right angle then it is not obtuse. True

Answer:

The total amount of tax owed is $212.

This is calculated by subtracting the amount of tax withheld from your paycheck ($678) from the total amount of tax owed ($890), resulting in a difference of $212.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

\( \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

$1315.15

Step-by-step explanation:

x=901 * 0.15

Original price * the discount gives you your original price

The solution to the quadratic equation 3x² + 5x + 4 = 0 is -5 ±√23/6

Using the quadratic formula, we have the general equation;

ax + bx + c = 0

The general formula is given as;

= (-b±√(b²-4ac))/(2a)

Now, substitute the values, we get;

= -(5) ± √(-5)² - 4 × 3 × 4)/2(3)

find the square value and multiply

= -5± √25- 48/6

Then, we have;

= -5 ±√23/6

Hence, the solutions is -5 ±√23/6

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