Construct a quadrilateral ABCD, AB = 4cm BC = 3cm,
AD= 2.5cm, AC= 4.5cm, BD= 4cm.

Answer:

Taco Yum because 9.99/12 = .8325 which makes it 83 cents per taco at taco ringer and taco yum's are .79 cents

Step-by-step explanation:

Answer:

Taco Yum sells the cheapest tacos

Step-by-step explanation:

Taco Yum sells his tacos for $0.79

Taco Ringer sells his tacos for around $0.84 (by the math problem 9.99/12)so by $0.05 Taco Tum is cheaper

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

27

Step-by-step explanation:

Any positive integer to 3rd power will have positive answer.

Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27

Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer:

\(3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.\)

Answer: B

Step-by-step explanation:

Answer:

11 is best answer for it ....,..........

Answer:

10

Step-by-step explanation:

The completed table of values obtained by using the data and the values per 100 km is presented as follows;

3 a. \(\begin{array}{|c|c|c|c|}L \ per \, 100\, km & Litres \ used&L\, per \, 100\, km&Litres\ used \\23.5 &3525&3.9&585 \\11.7 & 1755 & 3.4&510\\7.8 & 1170&2.9&435 \\5.9 &885&2.6&390 \\ 4.7&705&2.3&345 \\\end{matrix}\)

A dataset is a collection of information which are related but contains elements of different values, and can be analyzed or manipulated through the use of computation methods.

The table of values is completed using the following calculations;

The distance each vehicle travels in a year = 15,000 km

The amount of fuel each vehicle uses is calculated as follows;

First car;

1. L per 100 km = 23.5 L

Liter used per year = 15,000 km/(100 km) × 23.5 L = 3525 L

2. L per 100 km = 11.7 L

Liter used per year = 15,000 km/(100 km) × 11.7 L = 1755 L

3. L per 100 km = 7.8 L

Liter used per year = 15,000 km/(100 km) × 7.8 L = 1170 L

4. L per 100 km = 5.9 L

Liter used per year = 15,000 km/(100 km) × 5.9 L = 885 L

5. L per 100 km = 4.7 L

Liter used per year = 15,000 km/(100 km) × 4.7 L = 705 L

6. L per 100 km = 3.9 L

Liter used per year = 15,000 km/(100 km) × 3.9 L = 585 L

7. L per 100 km = 3.4 L

Liter used per year = 15,000 km/(100 km) × 3.4 L = 510 L

8. L per 100 km = 2.9 L

Liter used per year = 15,000 km/(100 km) × 2.9 L = 435 L

9. L per 100 km = 2.6 L

Liter used per year = 15,000 km/(100 km) × 2.6 L = 390 L

10. L per 100 km = 2.3 L

Liter used per year = 15,000 km/(100 km) × 2.3 L = 345 L

The above values are used to complete the table as shown in the main section of the page above;

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The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Answer:

5

Step-by-step explanation:

\(T_1=2a-3 \\ \\ T_2=2(2a-3)-3=4a-9 \\ \\ T_3=2(4a-9)-3=8a-21 \\ \\ T_4=2(8a-21)-3=16a-45 \\ \\ 16a-45=35 \\ \\ 16a=80 \\ \\ a=5\)

The value of a for the sequence is 8

Sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule.

A sequence can be defined based on the number of terms i.e. either finite sequence or infinite sequence.

Let the first value of  sequence is a

According to the question ,

The term-to-term rule for a different sequence is multiple by 2 then subtract by 6

It is also given that the fourth term of sequence is 35

So , to get the second term x will be multiple by 2 then subtract by 6

second term = (2a) - 3

Third term will be = 2(2a-3) - 3

=> 4a - 6 -3

=> 4a - 9

Then , the fourth term will be = 2(4a-9) - 3

=> 8a - 18 - 3

=> 8a - 21

Its given that fourth term is 35

=> 8a - 21 = 35

=> 8a = 35 + 21

=> 8a = 56

=> a = 8

The value of a is 8

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Answer:

b

Step-by-step explanation:

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

-0.8

Step-by-step explanation:

-4.2 + - (0.6) /6

-4.2 - 0.6 / 6

-4.8/6

-0.8

Answer:

y = 12x + 35

95 pages

Step-by-step explanation:

Let y represent the total number of pages

Let x represent the total number of months

x = 5 (months)

so..

y = 12(5) + 35

y = 60 + 35

y = 95

Answer:

The Rockets' team has the better record.

Step-by-step explanation:

The Blazers hockey team has played 12 games but they won only 7 out of the 12 games, so that means that they loss the other 5 games. So that makes the Blazers record 7 wins and 5 losses.

The Rockets' team has played 8 games but they won only 5 out of the 8 games, so that means that they loss the other 3 games. So that makes the Rockets' record 5 wins and 3 losses.

So, the Rockets' team has the better record because they loss less games than the Blazers team did.

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:18

Step-by-step explanation:

Answer:

Step-by-step explanation:

17 X (18-x)+12 X x= 271

multiply 17 x 18 and 17 X x also multiply 12 X x

17x18=306

17Xx= 17x

12Xx=12x

equation now looks like after solving:

306-17x+12x=271

combine like terms:

306-5x=271

subtract 306 from both sides

-5x=-35

get x by itself by dividing -5 from both sides

x= -35/-5 which equals 7

x=7

So you will 7 family devotional books and 11 youth devotional books

The animals have a total of 72 legs altogether.

To find the total number of legs that the animals have, we can multiply the number of each type of animal by the number of legs each animal has, and then add them together.

Given that there are eight sheep, and each sheep has four legs, we can calculate the total number of legs contributed by the sheep:

Number of legs contributed by sheep = 8 sheep * 4 legs/sheep = 32 legs.

Similarly, given that there are 10 goats, and each goat has four legs, we can calculate the total number of legs contributed by the goats:

Number of legs contributed by goats = 10 goats * 4 legs/goat = 40 legs.

To find the total number of legs, we can add the number of legs contributed by the sheep and the goats:

Total number of legs = Number of legs contributed by sheep + Number of legs contributed by goats

= 32 legs + 40 legs

= 72 legs.

Therefore, the animals have a total of 72 legs altogether.

In conclusion, with eight sheep and ten goats, each having four legs, the animals have a total of 72 legs.

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The instructional activity to explain the conversion will be:

The lessons should include:

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Answer:

Yes, the triangles are congruent by AAS. △ABC is congruent to △YZX.

Step-by-step explanation:

Answer:

4.3 x\(10^{6}\) meters

4.3x\(10^{9}\) millimeters

Step-by-step explanation:

Answer:

v=l×h

l=30

h=45

v=30×45

v=75cm

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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9514 1404 393

Answer:

Step-by-step explanation:

SOH CAH TOA is a mnemonic intended to remind you of the relevant trig relations.

  Sin = Opposite/Hypotenuse   ⇒   opposite = 15×sin(19°) ≈ 4.88 units

  Cos = Adjacent/Hypotenuse   ⇒   adjacent = 15×cos(19°) ≈ 14.18 units

Answer:

For plato users the correct option is D.

Step-by-step explanation:

D. 4.9 units, 14.2 units

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The greatest positive integer \($n$\) such that \($2^n$\) divides \($k$ is $n = 4$\).

\($k = (2 - 1)(3 - 1)(4 - 1)...(20 - 1)$\)

We can rewrite \($k$\) as \($k = 2^1 \cdot 3^1 \cdot 4^1 \cdot ... \cdot 20^1$\), and then use the formula \($2^n \mid (p_1^{\alpha_1} \cdot p_2^{\alpha_2} \cdot p_3^{\alpha_3} \cdot ... \cdot p_m^{\alpha_m})$ $\iff$ $2^n \mid p_1^{\alpha_1}$\) and \($2^n \mid p_2^{\alpha_2}$\) and\($2^n \mid p_3^{\alpha_3}$ and ... and $2^n \mid p_m^{\alpha_m}$\)

Since all of the exponents \($\alpha_1, \alpha_2, \alpha_3, ..., \alpha_m$\) are equal to 1, we can simplify this to: \($2^n \mid p_1$ and $2^n \mid p_2$ and $2^n \mid p_3$ and ... and $2^n \mid p_m$\)

In this case, \($p_1 = 2$, $p_2 = 3$, $p_3 = 4$\), and so on, so \($2^n$\) must divide all of the prime numbers from 2 to 20 in order for it to divide k. The highest power of 2 that divides all of these prime numbers is \($2^4$\), so the greatest positive integer n such that \($2^n$\) divides \($k$ is $n = 4$\).

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Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.