8 is 80% OF WHAT NUMBER?

155 is 25% of WHAT NUMBER?

Answer:

AC = [tex]3\sqrt{3}[/tex]
BC = [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

AC is [tex]x\sqrt{3}[/tex] and x = 3 so [tex]3\sqrt{3}[/tex] and it [tex]=3\sqrt{3}[/tex]

BC is [tex]2x[/tex] and x = 3 so [tex]2(3\sqrt{3}) = 6\sqrt{3}[/tex]

Hopefully this was what you wanted, and is correct!

Answer:

c. 22

Step-by-step explanation:

Let x = Tata's age and y = Kaka's age.

x - 10 = y

x+3 + y+3 = 40

Now, we can substitute in x - 10 for y.

x + 3 + (x - 10) + 3 = 40

so 2x = 44

x = 22

Therefore, Tata's current age is 22.

Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

When y varies inversely with x, the rule is given by:

[tex]y = \frac{k}{x}[/tex]

y = −3 when x = 14, hence we use this to find k.

[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]

Then:

[tex]y = -\frac{42}{x}[/tex]

Then when x = -7, y = -42/-7 = 6.

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Answer:

for $5 plan if he rents 47 dvd it will pay 47% as one DVS cost 1 $ .

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:

48+50+5+60+37+50=300

divide 300 by 6= 50

Answer: it is the first choice which is 50 .

Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .

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Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.

To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.

The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.

The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).

Using this formula, we can find the coordinates of the reflected parallelogram:

- The reflected image of point C(-4,-4) is (-4, 8).

- The reflected image of point D(-2, 0) is (-2, 4).

- The reflected image of point E(6, 1) is (6, 3).

- The reflected image of point F(4, -3) is (4, 7).

Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

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Answer:308

Step-by-step explanation:Multiply 4*7*11

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

Answer: 279.43

Step-by-step explanation:

The area of the tent that she will need to waterproof is 279.43 feet².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a tent in the form of a triangular prism as given.

We have to find the surface area of the tent excluding the base.

There are 2 triangular faces and 2 rectangular faces.

Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles

Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²

Height of the triangular face = √(8² - 4²) = √48

Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²

Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²

Hence the area of the tent is 279.43 feet².

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The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

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Answer:

The inequality is x is less than negative 3.

Answer:

x < -3

Step-by-step explanation:

. subtract 1 from both sides.

. subtract the numbers

. divide both sides by the same factor and flip the relation

because the factor is negative

. cancel the terms that are both in the numerator and the denominator

. divide the numbers

.then you get youre solution

Answer:

60 miles

Step-by-step explanation:

Distance travelled :

Answer:

5*4= 20

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

4*5 = 20

We can change to order and the result is still the same

5*4= 20

Answer:

so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \dfrac{14}{95}}[/tex]

Explanation:

Black ribbons = 8 ribbons

Green ribbons = 12 ribbons

Total ribbons: 12 + 8 = 20 ribbons

[tex]\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}[/tex]

For Lila:

[tex]\sf Lila \ picks \ black \ : \ \dfrac{8}{20}[/tex]

Left black ribbons: 8 - 1 = 7 black ribbons

Left total ribbons: 20 -1 = 19 total ribbons

For Jessica:

[tex]\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}[/tex]

Probability that they both pick black ribbons:

[tex]\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}[/tex]

[tex]\sf \rightarrow \dfrac{14}{95}[/tex]

========================================================

Work Shown:

x = number of hours

1.5x = number of pages written after x hours

y = 6-1.5x = number of pages left after x hours

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

In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.

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

An example:

x = 2 so 1.5x = 1.5*2 = 3

At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.

Answer:

y intercept

Step-by-step explanation:

Answer:

PQ = 6 units

Step-by-step explanation:

note that the y- coordinates of P and Q are both - 7

then PQ is the difference in the x- coordinates, that is

PQ = | 7 - 1 | = | 6 | = 6

or PQ = | 1 - 7 | = | - 6 | = 6

Answer:

Step-by-step explanation:

Use the formula:

Plug In:

22,411 ÷ 2 - 260

Solve:

Answer is L = 10,945.5 inches
explain: perimeter is all 4 sides added together

We know one side is 260
we know the perimeter is 22,411

260 + 260 + L + L = 22,411
combine like terms

520 + 2L = 22,411
subtract 520 from both sides to isolate 2L

2L = 21,891
divide both sides by 2 to isolate L

L = 10,945.5 inches

Answer:

   45. (4) (2, 2)

Step-by-step explanation:

Question 45

Solutions

We'll take x = 2 as no options with x = 3 are listed.

Ordered pair

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

Answer:

  10∠126.87°

  r = 10; θ = 126.87°

Step-by-step explanation:

The coordinate conversion from (x, y) or (x +yi) to (r; θ) can be done using the relations ...

  r = √(x² +y²)

  θ = arctan(y/x) . . . . paying attention to quadrant

__

For the given complex number, we have ...

  r = √((-6)² +8²) = √(36 +64) = √100 = 10

  θ = arctan(8/(-6)) = arctan(-4/3) . . . . in the 2nd quadrant

  θ ≈ -53.13° +180° = 126.87°

The equivalence is ...

  -6 +8i  ⇔  10∠126.87° . . . . . in the form r∠θ

_____

Additional comment

Many scientific and graphing calculators are equipped to work with complex numbers, including their conversion to or from polar form.

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

Answer:

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Answer:

Min = 1 4/6

Max = 3

Sum = min + max

=> sum = 1 4/6 + 3

=> sum = 4 /4/6

Answer:

4 4/6

Step-by-step explanation:

The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the picture, a graph is shown.

The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.

The domain of the function:

D: x ∈ (-3, 7)

Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

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