10°
55°
x х
Solve for y in the figure above.

The Area of the given figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

Area of a rectangle can be found by using the formula

Area = length*breadth

in the given question

length of the rectangle

= [tex](4x)^{\frac{3}{2} }[/tex]

On simplifying we get

[tex](4x)^{\frac{3}{2} }=(2^{2} x)^{\frac{3}{2} }\\ \\ =2^{2*\frac{3}{2} } *x^{\frac{3}{2} } }[/tex]      ( as (a.b)ⁿ=aⁿ.bⁿ  )

[tex]=2^{3} *x^{\frac{3}{2} } }\\ \\ =8*x^{\frac{3}{2} } }[/tex]

breadth of the rectangle = [tex]12x^{\frac{3}{4} }[/tex]

The required area = length * breadth

Substituting the values we get

Area = [tex]8*x^{\frac{3}{2} } }[/tex] * [tex]12x^{\frac{3}{4} }[/tex]

=96*[tex]x^{\frac{3}{2}+\frac{3}{4} }[/tex]

taking LCM of exponents as 4 and solving further we get ,

=[tex]96x^{\frac{9}{4} }[/tex]

Expressing in  radical form we get ,

Area = [tex]96\sqrt[4]{x^{9} }[/tex]

Therefore ,  the Area of the figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

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Answer:

19

Step-by-step explanation:

When y = 7

Replace 7 with y.

[tex]7 + 12 = 19[/tex]

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The equation of the line in fully simplified slope-intercept form is y = -x - 8.

It is assumed that a line in the graph will pass through some points on the x and y-axes.

We must determine the line's fully simplified intercept.

we know the standard form of a line that is

y = mx + b

here, m is a slope and b is the constant

On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).

The slope of the line passing through these points is:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]

slope = 8/(-8)

slope = -1

then find the value of b

if x = 0 y = -8 then

y = mx +b

-8 = -1(0) + b

-8 = b

the value of b is -8

After inserting the values for m and c, the line's equation will be.

y = - x - 8

Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.

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The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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Answer:

p(-x)(3)-T(10x+2)(3)

P(-3x)-T(30x+6)

Answer:

true;the expression s are the same for all values of the variables

Step-by-step explanation:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

i don't know if thats what you were asking for but yea

Answer:

.7456

Step-by-step explanation:

The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75

A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Answer:

C

Step-by-step explanation:

machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.

Answer: 30, 60, 90 triangle ==> Option 3

Step-by-step explanation:

Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].

sin A=6/12=1/2

sin A=30 degrees.

sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]

sin B=60 degrees.

Hence, triangle is 30, 60, 90 triangle ==> Option 3

Answer:

He returns the pedalo after 3.00 pm

Answer:

Step-by-step explanation:

To compare fractions you need to bring them to the same format.

1) Convert 3/5 to decimal:

Compare:

2) Convert 0.85 to fraction:

Bring 3/5 to the same denominator:

Compare:

To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

Information about the problem:

Calculating the velocity we have:

v = x/t

v= 5 miles/45 min

v = 0.111 miles/ min

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 36 miles/0.111 miles/ min

t = 324 min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Answer:

listen there is a lack of information the information you give isn't enough

The correct answer is Team B won by 1.1 points.

To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.

For Team A:

- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points

- Design (15% of 9 points) = 0.15 * 9 = 1.35 points

- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points

Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points

For Team B:

- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points

- Design (15% of 7 points) = 0.15 * 7 = 1.05 points

- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points

Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points

Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.

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Answer:

1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes

Answer: x = 88 degrees

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

So

48 + x + (x - 44) = 180

48 + 2x - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Angle B = 88 degrees

Angle C = 44 degrees

Answer:

Solve for x:

x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)

Evaluate: x= 2

Step-by-step explanation:

Answer:

(3, - 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )

midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )

x would be 20 inches and y would be 32 inches.

Answer:

a geometric model shows the lay out of places like earth it tells us where our best water sources are.

Other answers are possible.

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

Explanation:

Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.

Due to the symmetry of that list, the mean = median = 10

The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.

To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.

Therefore, the set  {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.

There are infinitely many other possible answers. The data set does not have to be symmetric like this.

Answer:

x>-3

Step-by-step explanation:

collect like terms by changing the signs ..

x+4>-3x-8:to: x+3x>-8-4

Hence find the value of x

:4x>-12

4x/4 >-12/4

x>-4

The first term of the Geometric Series = 3 and its common ratio = 3/2.

An unlimited number of terms with a fixed ratio between each term make up a geometric series.

For 'n' termed GP with a = first term and r = common ratio, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex]

Given:

To find: First term of the GP and the common ratio.

Finding:

As, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex], for n =3,

[tex]S_{3}=\frac{a(r^{3}-1)}{r-1}=14.25[/tex] (eqn 1)

=> Similarly for n = 4,

[tex]S_{4}=\frac{a(r^{4}-1)}{r-1} = 24.375[/tex]

On dividing [tex]S_3 by S_4[/tex], we get:

[tex]\frac{14.25}{24.375}=\frac{r^{3}-1}{r^{4}-1}[/tex]

=> On solving the equations, we get:

[tex]14.25r^{4}-24.375r^{3}+10.125=0[/tex]

r = 3/2 (on factorizing the equation)

Now, substituting this in eqn 1

=> [tex]14.25=\frac{a((\frac{3}{2})^{2}-1)}{\frac{3}{2}-1}[/tex]

=> a = 3 on further solving the equation for a.

Hence, the first term of the Geometric Series = 3 and its common ratio = 3/2.

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Considering the given area of the square, it is found that it's side length is an irrational number.

This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.

The area of an square of side length s is given by s squared, as follows:

A = s².

In this problem, the area is of 89 cm², hence:

s² = 89.

s = sqrt(89).

The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.

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Answer:

6: 480

1: 80

3: 240

I hope this is what you meant, and I hope I was able to help you!

Answer:

51.3

Step-by-step explanation:

[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we Need to write the Equation as It is

K + 12 = 8

Then we keep the Variable which is K in the right of the equal to and move the rest to the left.

K = 8 - 12 ( Note that when moving a number to the other side, the sign will

                  change)

Then Do 8 - 12 or -12 + 8

The answer will come

K = -4

Hope you Are clear