In ΔIJK, the measure of ∠K=90°, KI = 3.8 feet, and JK = 6.7 feet. Find the measure of ∠I to the nearest degree.

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Answer:

(-1,4)

Step-by-step explanation:

to find out we just fill in the values to see if it’s true

(x,f(x))

4=-1^2+3

4=1+3

4=4

True

-4=-1^2+3

-4=1+3

-4=4

Not true

-4=1^2+3

-4=1+3

-4=4

Not true

-1=-4^2+3

-1=16+3

-1=19

Not true

Hopes this helps please mark brainliest

Answer:

And for this case we can begin completing the square like this:

\( f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2\)

And after aggrupate the terms we got:

\( f(x) = (x+5)^2 +21 -25 \)

And finally we have:

\( f(X)= (x+5)^2 -4\)

And for this case our vertex would be:

\( (h,k) = (-5,-4) \)

Step-by-step explanation:

For this case we have the following equation given:

\( f(x) = x^2 +10x +21\)

And we want to find a formula in terms in the vertex form given by:

\( f(x) = a(x-h)^2 +k\)

And for this case we can begin completing the square like this:

\( f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2\)

And after aggrupate the terms we got:

\( f(x) = (x+5)^2 +21 -25 \)

And finally we have:

\( f(X)= (x+5)^2 -4\)

And for this case our vertex would be:

\( (h,k) = (-5,-4) \)

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

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The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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Answer: 2 aka B

Step-by-step explanation: the answers B :)

Answer:

11- B

moving left 90 degrees from a

because clockwise is the right direction in a circle and counterclockwise is the left direction in a circle

12- C

moving 180 degrees left from a

13- B

moving 270 degrees right from a

14- d

moving 270 degrees left from a

hope this helps! message me if you have any further questions :)

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

this is how you work it out with the net

Answer:

You must lay out the net, find the area of each shape and multiply, and then add each dimension.

Answer:

1.609

Step-by-step explanation:

Hopes this helps and brainllest please!

Answer:

\(2.579 - 0.97 \\ \frac{1609}{1000} \: \: or \: \: 1.60\)

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

The given coordinate point lies in third quadrant which shown in the graph below.

The given coordinate point is \((-4\frac{1}{2}, -2)\).

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

In the given coordinate point both x-coordinate and y-coordinate are negative.

Hence, the given coordinate point lies in third quadrant which shown in the graph below.

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Answer: 1000000

Step-by-step explanation:

Answer:

answer 1000000

have a nice day

Answer:

The answer is d.

Step-by-step explanation:

\(x^{2} -7x+12=0\\(x-3)(x-4)=0\\x-3=0; x=3\\x-4=0; x=4\\(3,4)\)

Having the function f(x):

You can find its inverse as follows:

Rewrite it with:

Solve for the variable "x":

Now you have to exchange the variables:

Finally, rewrite h(x)=y:

The answer is the LAST OPTION.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped

Answer:

The solution is:

z (max ) =  446.25 $

x₁  =  55     x₂  =  0    x₃  = 5     x₄  =  70  

Step-by-step explanation:

From problem statement:

                     Nacholupa       Quesatilla      Enchinacho    Burritaco

                           x₁                        x₂                     x₃                   x₄

Cheese               2                         4                      2                    4

meat                   0                          2                     2                     2

beans                  4                         0                      2                     0

Tortillas               3                          1                      3                     1

Price $               2.75                      2                      3                     4

From table :

    z =   2.75*x₁  + 2*x₂  + 3*x₃  + 4*x₄   to maximize

Subject to:

Availability of cheese: 400 ou

2*x₁  +  4*x₂  +  2*x₃  +  4*x₄  ≤ 400

Availability of meat  :  150 ou

             2*x₂  +  2*x₃  +  2*x₄ ≤  150

Availability of beans :  400 ou

   4*x₁             + 2*x₃               ≤  400

Availability of tortillas :   250

3*x₁  +  x₂   +  3*x₃  +  x₄   ≤ 250

General constraints:

x₁ ≥  0             x₂  ≥  0              x₃  ≥  0              x₄  ≥ 0

All integers

With the use of AtomZmath  ( integer solving on-line software )

The solution is:

z (max ) =  446.25 $

x₁  =  55     x₂  =  0    x₃  = 5     x₄  =  70  

Answer:

30

Step-by-step explanation:

He took 5 pieces.

His children took 5 * 5 pieces = 25

The total is 5 + 25 = 30.

Answer:

Hello, Your answer is Audio tapes/ CDS, Magazines and books

Sports equipment is something you Will Not find In the library.

Most librarys Do Not have VCR tapes

Hopes this helps

answer :

video tapes for your VCR

sports equipment

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: radius: 28.5

area: 2551.76

Step-by-step explanation:

radius is always half of the diameter and area is pi(r^2)

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

Answer:

•Equation => 3d + 5

d = 3

3 x 3 + 5

9 + 5

14 = Answer

Hope it's helpful

Answer:

3d+5=9+5=14

Step-by-step explanation:

3(d)=3*3=9

D=3

+5=14, answer is 14

brainest?

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

A walking speed of 3 to 4 miles per hour is typical for most people. However, this can vary based on many factors including your fitness level, overall health, and age.

Step-by-step explanation:

The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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