Match the attributes to each three-dimensional shape that has the cross-section described.

Only consider cross-sections with whole number dimensions parallel to a side of one of the prisms or the base of the pyramid.

Quadrilateral A:
area of
16 square inches
Quadrilateral B:
perimeter of
24 inches
Quadrilateral C:
perimeter of
16 inches

flip over the line, then slide up

Answer:

about 4 or 8

Step-by-step explanation:

Answer: 4 schools

Step-by-step explanation:

An inscribed angle (like angle RTS) is half its intercepted arc.

Angle RTS = 51

Then, we just have a triangle to look at. Remember that the interior angles of a triangle add up to 180.

67 + 51 + x = 180

118 + x = 180

x = 62

Answer: angle RST = 62 degrees

Hope this helps!

The amount of sheet metal needed to form the conical funnel is 5525 cm²

The given parameters are:

Start by calculating the slant height (l) of the cone using:

l = √(r² + h²)

This gives

l = √(30² + 50²)

Evaluate

l = 58.31

The lateral surface area of the conical funnel including the overlap is then calculated as:

A = πrl + Overlap * l

This gives

A = 3.142 * 30 * 58.31 + 0.5 * 58.31

Evaluate

A = 5525.4556

Approximate

A = 5525

Hence. the amount of sheet metal needed is 5525 cm²

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The function that would best model the progression of points in the given scatter plot is: D. an exponential function.

If a function is an exponential function, as the x-value increases, the value of y approaches infinity, or as x-value decreases, the value of y approaches 0.

The graph given is a typical example of how an exponential function graph behaves.

Therefore, the best model for the progression of points is: D. an exponential function.

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Answer:

341.25

Step-by-step explanation:

You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.

Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).

Answer:

sequence

Step-by-step explanation:

Answer:

8.9r + (5s + 10)

actually the parenthesis aren't necessary...

8.9r + 5s + 10

Step-by-step explanation:

You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"

8.9r - (-5s - 10)

= 8.9r + (+5s + 10)

= 8.9r + (5s + 10)

= 8.9r + 5s + 10

Answer:

25

Step-by-step explanation:

(x+5)(x+5) = x^2 + 10x + 25

Answer:

25

Step-by-step explanation:

The number that goes in the blank is 25.

The constant must have two factors that multiply to equal the constant and add to equal the coefficient.

Answer:

If the angles are 9 degrees 6 degrees and 12 degrees it is acute

Step-by-step explanation:

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:

L = 10 · ㏒ (I/I')

Where:

If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:

70 = 10 · ㏒ (I/10⁻¹²)

10⁷ = l/10⁻¹²

I = 10⁻⁵ W/m²

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

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Answer:

v = -3

General Formulas and Concepts:
Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

-6(v + 4) = -6

Step 2: Solve for v

∴ the value of v is equal to -3.

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Topic: Algebra I

Answer:

B

Step-by-step explanation:

Do the math

5x1 is 5

4x1 is 4

35÷7 is 5

28÷7 is 4

Hope this helps

Answer:

The second table.

Step-by-step explanation:

4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.

Answer:

[tex]volume \: = 1130.4 {m}^{3} [/tex]

Step-by-step explanation:

The formula to find the volume of a cylinder is:

[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]

Note that the radius is half the diameter (12), therefore the radius is 6*

According to the diagram we know that:

[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]

Answer:

BC = 25 in

AN = 12 in

BN = 16 in

NC = 9 in

Formulas:

Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Area of triangle

[tex]A = \frac{1}{2}bh[/tex]

A ... area of triangle

b ... base (one of the sides of the triangle)

h ... height perpendicular to base

Step-by-step explanation:

Given:

A = 90°

AB = 20 in

AC = 15 in

See attached picture.

1) BC

To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.

[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]

2) AN

AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.

Notice how AB is perpendicular to AC. We can use AB as base and AC as height.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]

Now that we have area, we can use BC as base and AN as height and solve for AN.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]

3) BN

Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.

[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]

4) NC

We know the lengths of BC an BN, so we can just subtract.

[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]

Answer:

she bought 7 packs of paper

Step-by-step explanation:

12.74/p = 7

Using geometric sequence concepts, it is found that:

a) The rule is: [tex]P_n = 750000(0.5)^{n-1}[/tex].

b) An exponential relationship exists between the two variables.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

[tex]a_1 = 750000, q = 0.5[/tex].

Hence the nth term of the sequence is given by:

[tex]P_n = 750000(0.5)^{n-1}[/tex]

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The answers to the problem are:

a) The value of x is : 8

b) ∠ZRB and ∠BTS are not supplementary angles.

c) ∠BST and ∠RSB are complementary angles.

d) ∠ABT is  an acute angle

e) SA is not the bisector of the angle ∠ZSY.

Angles are formed when two lines meet and they are of different types.

acute: this is an angle less than 90°

obtuse: this angle is greater than 90° but less than 180°

reflex: this angle is greater than 180° but less than 360°

Analysis:

∠BRS = 180 - (20X - 22) = 202 - 20X

a) To find x, sum of angles in the triangle = 202-20x + 2x+32 + 5x+10 + 120-10x = 180

364 -23x = 180

23x = 364-180

23x = 184

x = 8

b) ∠ZRB = 20x-22 = 20(8) - 22 = 138°

   ∠BTS = 2x+32 = 2(8)+32 = 48°

    138°+48° = 186° [tex]\neq[/tex] 180°

     They are not supplementary

c)  ∠BST = 120-10X = 120 - 10(8) = 40°

     ∠RSB = 5x+10 = 5(8)+10 = 50°

      50+40 = 90°. They are complementary

d)   ∠ABT = 180 - ∠ABR = 180 - 100 - x = 88°

      It is acute since it is less than 90°

e)   SA is not an angle bisector, since it dived the angles as 40° and 50° and not equal.

In conclusion, the solution to the questions are:

a) The value of x is : 8

b) ∠ZRB and ∠BTS are not supplementary angles

c) ∠BST and ∠RSB are complementary angles

d) ∠ABT is  an acute angle

e) SA is not the bisector of the angle ∠ZSY

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Step-by-step explanation:

1. find P of semicircle

perimeter of a semicircle = pi×r+d

=3.14×5+10

=25.7

2.find P of rectangle

P=10×4=40cm

3. add P of semicircle and P of rectangle

25.7+40=65.7cm

Answer:

they look similar but one of them is upside down.

Answer:

$3.40

Step-by-step explanation:

10% of $34

= [tex]\frac{10}{100}[/tex] × $34

= 0.1 × $34

=$3.40

Answer:

Step-by-step explanation:

Conversion

A % can always be changed into a decimal by dividing by one hundred. In this case

decimal = 36.2/100 = 0.262 \\

Answer: 0.262

Answer:

181/500

Step-by-step explanation:

The formula would you use to calculate the floor space of Firm 3's structure is πr²h.

It should be noted that the formula that can be used on this scenario will be:

= πr²h

where,

h = 60

r = 70/2 = 35

The volume will be:

= πr²h

= 3.14 × 35² × 60

= 230790 feet ³

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Answer:

terminal point is at (0, -1) and sin 0 = -1

Step-by-step explanation:

In a unit circle the radius of the circle is 1 so

- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.

(1, 0) where we start on the positive x-axis and where angle is 0°

(0, 1) where we go counterclockwise and where angle is 90°

(-1, 0) where we go continue counterclockwise and where angle is 180°

(0, -1) where we stop in our problem because the angle is 270°

-we also know that x= cos O and y= sin O so the coordinates (x, y) are really

(cos O, sinO)

Given:

        0 = 270°

    sin 0 = sin 270°

sin 270°  =  -1

The terminal point is at (0, -1) and sin 0 = -1

It is also called Middle Term Splitting

Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).

It is writing an expression as a product of 2 or more factors

Answer:

factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.

Step-by-step explanation

3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

Answer:

Corresponding

Step-by-step explanation:

So, we know that 1&2, 3&4, 5&6, and 7&8 all equal 180 degrees in their pairs. 7&3 are corresponding angles that are less than 90 degrees on their own. We don't know the degrees of each angle, so we can't say their exact angle.

(I know I didn't give the second answer, if you elaborate, maybe I can understand what it's asking better)

Hope this helped!

Answer:

-> Corresponding

-> Are equal

Explanation:

        First, we will find where angles 3 and 7 are at. See attached. Since they are in corresponding places on both lines, these angles are corresponding angles.

        We know that corresponding angles have the same measurement, so their measures will be equal, or in other words, congruent.

Answer:

6

Step-by-step explanation:

that is because 6 is x and y is -3

Answer:

As you wish love, 2sqrt x 3sqrt8 = 12sqrt6

Step-by-step explanation:

2sqrt3x3sqrt8

Simplify,

2sqrt3 x 3 x 2sqrt2

Evalutate,

12sqrt6

Answer:

1/8 or 12.5 percent

Step-by-step explanation:

So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!

Hope this helps!