Find the surface area of the prism:

Answer:

22√3.

Step-by-step explanation:

The perimeter is the sum of the lengths of the 3 sides,

= 5√3 + 3√27 + 4√12

= 5√3 + 3*√9√3 + 4√4√3

=  5√3 + 3*3√3 + 4*2√3

= 5√3 + 9√3  + 8√3

=  22√3.

Answer:

its c

Step-by-step explanation:

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

Well, we can see that the endpoints land on -4 and 3 and the numbers between -4 and 3 are included. And since the endpoints -4 and 3 have colored dots, they are included as well. Therefore the inequality is -4 ≤ x ≤ 3.

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

Because the circles are closed, we know that the inequaily sign will be either "≤" or "≥", meaning that the dotted points are included. Looking at the number line, we can see that the dots lie on points -4 and 3. Because -4 is less than 3, the sign will be a lesser than sign. The line inbetween includes all numbers between -4 and 3.

So, in conclusion, -4 ≤ x ≤ 3 is the inequality shown.

Answer:

x = .005

Step-by-step explanation:

7.5x (11) = 4.85

7.5x = 4.85/11

7.5x = 0.441

x = 0.441/7.5

x = .005 ans

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex]

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

[tex]x^2 -7x + 10[/tex]

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

[tex]x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)[/tex]

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

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Answer:

See below ↓↓

Step-by-step explanation:

5.

6.

Answer:

1357.2 ft^3

Step-by-step explanation:

pie * radius^2 * height = volume

pie * 6^2 * 12 = 1357.2

Answer:

V= 1357.1

Step-by-step explanation:

hopes this helps a little I can further explain if you'd like

Answer:

409.77 is the answer!

Step-by-step explanation:

3 x 3 x 3.14 x 14.5

pie x r^2 x h = V

Answer:

The volume of the cylinder is 410 ft^3

Step-by-step explanation:

To find the volume, we must know the formula. The formula is, V = π r^2 h. We already know that the diameter is 6ft, so we have to cut that in half to get the radius. 6/2 = 3. The radius is 3ft. Now we can plug in the values.

V = π*3^2*14.5

V = π*9*14.5

V = 409.977841

V = 410.0

Answer:

31 people

Step-by-step explanation:

Total # of people: 50

22% of 50: 0.22 * 50 = 11 people

16% of 50: 0.16 * 50 = 8 people

11 + 8 = 19 people who didn't go on a nature walk

50 - 19 = 31 people who went on a nature walk

To multiply B and A, the number of columns of B must matc the number of rows of A.

When we multiply two matrices, A and B, we multiply the rows of matrix A by the columns of matrix B.

Now, the number of elements in a row of a matrix, is equal to the number of columns (and the number of elements in a column is equal to the number of rows).

To multiply BxA:

Then, a row on matrix B must have the same number of elements than a column in row A.

Then, to multiply BxA, the number of columns of B must match the number of rows of A, meaning that the correct option is the last one.

If you want to learn more about matrices, you can read:

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Answer:

18 cm cubed (cm^3)

Step-by-step explanation:

2 x 3 x 3

Answer: 18 cm (cubed)

Step-by-step explanation: Volume of a cube or box -

Length x Width x Height = 3x3x2

Mt. St. Helens

hope it helps...!!!

1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.

2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.

3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.

4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.

Triangles are geometric figures formed by three line segments and internal angles, whose sum is equal to 180°, which can be three acute angles or an obtuse angle and two acute angles or a right angle and two acute angles. The possibility is determined by applying the law of cosine:

[tex]\cos \theta = -\frac{x^{2}-y^{2}-z^{2}}{2\cdot y\cdot z}[/tex]   (1)

The triangle if and only if the cosine of each angle is between -1 and 1 with the following characteristics:

Now we proceed to determine the existence of each triangle:

1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.

2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.

3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.

4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.

To learn more on triangles, we kindly invite to check this: https://brainly.com/question/2773823 #SPJ1

The equation that models the variation is -4 = k/17.

The value of n when m is -136 is 2.

When two variables vary inversely, as one variable increases, the other variable decreases.

The formula used to represent inverse proportion is:

m =  k/n

-4 = k/17

k = 17 x -4 = -68

-136 = -68/ n

n = -136 /68

n = 2

To learn more about inverse proportion, please check: : https://brainly.com/question/25748643

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Answer:

60°

Step-by-step explanation:

We know in a circle, the interior angle is half of the exterior angle.

The inequality that represents the scenario given above in terms of the number of students is 9x + 7 ≥ 54

Inequality is known to be a statement that shows the step or order association either it is greater than, equal to, less than, etc., that exist between two or more numbers in an expression.

Note that 7 students are in the technical crew. Denote the number of students in a group as = x

We take the other students in dance routines in groups of 9 as 9x.

Therefore, we say that the total number of students = 9x + 7

Since 6 full groups are working on dance routines, we then multiply by the student dance groups =  9  x  6 = 54

Therefore, we can state that our inequality as:

9x + 7 ≥ 54

Then you collect like terms:

9x ≥ 54 - 7

9x ≥ 47

x ≥ 47/9

x ≥ 6

So therefore, I will write to  directors that the number of students they need in each group should be at least 6 students.

See full question below

1. Write and solve an inequality to represent this situation.

2. Write a sentence to the directors about the number of students they need.

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Answer:

can you make the pirure a little better

Step-by-step explanation:

This quadrilateral have.

Its a parallelogram

Answer:

2 pairs of parallel sides

rhombus

Step-by-step explanation:

In geometry, arrows on lines mean that those lines are parallel.

Therefore, as one pair of opposite sides have 1 arrow, and the other pair of opposite sides have 2 arrows, this indicates that each pair of opposite sides are parallel.

Quadrilaterals that have 2 pairs of parallel sides are the rhombus and the parallelogram.  A rhombus is a parallelogram that has 4 sides of equal length.  As the side lengths of the given shape are equal in length, this quadrilateral is a special type of parallelogram called a rhombus.

Answer:

Card 3: 53.68 cm, Card 4: 150.72 sq. cm

Step-by-step explanation:

Card 3: First find the circumference, d(pi), 16(3.14)=50.24. Since the circle has 1/4 of it missing, we will divide by 4 then multiply by, 50.24/4=12.56, then multiply by 3 37.68. Lastly, we have to add 16 because of the cutout so 37.68+ 16=53.68

Card 4: Find the area of the circle, r^2(pi), 64(3.14)= 200.96. Then divide by 4 and then multiply by 3, 200.96/4=50.24, 50.24*3=150.72.

Answer:

p=48

Explenation:

Total number of players = p

According to given scenario:

p - 12 = 3/4p

By simplifying

Taking terms with p on left and constants on right

p - 3/4p = 12

By taking LCM for left side to make denominators same

4/4*p -3/4p = 12

(4p -3p)/4 = 12

1p/4 = 12

Multiplying both sides by 4 we get

p = 12 * 4

p = 48

So total number of players is 48

The triangle xyz has three sides and three angles

Neither law can be used to solve the triangle

As a general rule, the law of sines states that:

x/sin(X) = y/sin(Y) = z/sin(Z)

As a general rule, the law of cosines states that:

x^2 = y^2 + z^2 - 2yz cos(X)

From the question, we understand that only the angle measures are given.

The sine and the cosine laws above require at least one side length of the triangle in order to solve the triangle

Since the side lengths are not known, then neither of the laws can be used

Read more about laws of cosines and sines at:

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Answer: B. 43^u = t

log b(x) = y goes to b^y = x and convert it :D hope this helps

Answer:

answer B

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

for triangles, you have to have a total of 180 degrees also triangles have the same degrees every time

Answer:

1728

Step-by-step explanation: L(length) H(height) W(width)

volume = l x w x h

perimeter= L + W + L + W

perimeter = 12 + 12  + 12 + 12

volume = 12 x 12 x 12 because it' s a cube, and all sides are equal

= 1728

(i don't know if it's right though...)

Answer:

[tex]a ^{2} [/tex]

a^4 + a^2 + 1

a^4 + a^2 + x + 1

a^2 ( a^2 + 1) + 1 ( x + 1)

so, here clearly we can see that If wee add a^2 in place of x it would be a perfect square..

Hope it helpz~

Answer:

-12x+8 or 12x+8

Step-by-step explanation:

p please mark me brainlest