The formula sa
SA
6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side
of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
o
30-45 m
O V30-2V5
o 10 m
215 m

Answer:

The sum of two non-zero even numbers is even and greater than the addends

Step-by-step explanation:

The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p

Let the second number be q

Now , the values of p and q are even

So , when p = 2 and q = 4

The sum of two non-zero even numbers is even and greater than the addends

p + q > q   be equation (1)

p + q > p   be equation (2)

2 + 4 > 4

2 + 4 > 2

6 > 4 and 6 > 2

Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends

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Answer:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.  

Step-by-step explanation:

Answer:

C. (1, -2)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).

∴ our answer is C.

Answer:

C. (1,-2)

Step-by-step explanation:

with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)

hope this helps! lemme know if you need more

First solution :

Say, x = 0

→ 2x + 3y = 4

→ 2(0) + 3y = 4

→ 0 + 3y = 4

→ 3y = 4

→ y = 4/3

Second solution :

Say, x = 1

→ 2x + 3y = 4

→ 2(1) + 3y = 4

→ 2 + 3y = 4

→ 3y = 4 - 2

→ 3y = 2

→ y = 2/3

Third solution :

Say, x = 2

→ 2x + 3y = 4

→ 2(2) + 3y = 4

→ 4 + 3y = 4

→ 3y = 4 - 4

→ 3y = 0

→ y = 0 ÷ 3

→ y = 0

Answer:

angle TVU

Step-by-step explanation:

angle UVT

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Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

Answer:

[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297

Step-by-step explanation:

Answer:

36/121

Step-by-step explanation:

We have 5+6 = 11 marbles

P(red) = number of red/ total = 6/11

We replace the marble so we still have 11 marbles

P(red) = number of red/ total = 6/11

P(red, red) = 6/11*6/11 = 36/121

Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

[tex]\frac{1}{7} :\frac{2}{y}[/tex]

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

Answer:

AB = 8 inches

Step-by-step explanation:

given :

AD = 10 inches

BD = 6 inches

AB = ?

using pythagoras theorem

a^2 + b^2 = c^2

BD^2 + AB^2 = AD^2

6^2 + AB^2 = 10^2

36 + AB^2 = 100

AB^2 = 100 - 36

AB^2 = 64

AB = [tex]\sqrt{64[/tex]

AB = 8

The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC  is equal to 8 inches.

In the figure of triangle ADC ,

DB is perpendicular to AC such that A- B- C.

Measure of angle CBD = 90 degrees

This implies,

As angle ABD and CBD are linear pair

⇒ Measure of angle CBD + Measure of ABD = 180°

⇒ 90° + Measure of ABD = 180°

⇒  Measure of ABD = 180° - 90°

⇒  Measure of ABD = 90°

Now triangle ABD is right angle triangle,

AD = 10 inches

BD = 6 inches

By applying Pythagoras theorem we have,

AB² + BD²  = AD²

⇒ AB² = AD² - BD²

⇒ AB² = 10² - 6²

⇒ AB² = 100 -36

⇒ AB² = 64

⇒ AB = √64

⇒ AB = 8 inches

Therefore, the length of the AB is equal to 8 inches.

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Answer:

26/63

Step-by-step explanation:

Try to make the denominators equal so that you can add them:

4(3)/21(3)= 12/63

2(7)/9(7)= 14/63

And now you add, which will give you:

12/63 + 14/63= 26/63

Answer:

3.75

Step-by-step explanation:

r²+9²=(6+r) ²

r²+81 = 36+12r + r²

81=36+12r

=> 12r = 45

r = 45/12 = 3.75

Answer:

A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:

13² = 12² + 5²

169 = 144 + 25

169 = 169

D:4*sqrt(2)

E: LSA of a cube = 100 in²

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer:

b is the right answer

Step-by-step explanation:

Answer:

The tenths place.

Step-by-step explanation:

If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.

Answer:

tenths place

Step-by-step explanation:

Answer:

y = 1/2x -1

The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.

The y intercept is -1

Answer:

For A I'd say about 100° and for B about 150° (This is just my estimation)

Step-by-step explanation:

A is almost a right angle but a little more than 90°.

B is almost a straight/flat angle but it's less than 180°.

Answer:

a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)

b. around 230

Step-by-step explanation:

Answer:

Choosing five CDs where not all of them are pop.

Step-by-step explanation:

Answer:

B)  choosing five CDs where not all of them are pop

Step-by-step explanation:

E2020

Answer:

There are 5 sides in the polygon.

Total perimeter of the polygon is 12.5 cm and it is a regular polygon.

Each side of the polygon is 2.5 cm.

So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5

Hence, the polygon has 5 sides and it is a regular pentagon.

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer: Perimeter: 28 units

Area: 32 square units

Step-by-step explanation:

Answer:

Perimeter = 24

Area =32

Step-by-step explanation:

To find the perimeter, add up the number of outside edges

4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units

To find the area, count the number of boxes in each row

4 + 4+ 8+8+4+4 = 32 units^2

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Oliver earns a total of $260.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.

Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:

y = kx +c

since this line goes through the origin point. Constant (c) will be zero.

At the point (1, 8 ) k = 8

Hence, Y = 8x

Because hours worked are 20

earning = 8 * 20  = 160

Total earnings = 100 + 160 = 260

Therefore, the Total money that Oliver earns is $260.

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Answer:

Equation: 4x+1+75=180

X= 26

105°

Step-by-step explanation:

When added, the two angles would create a flat angle of 180°, so just add the two angles:

4x+1+75=180

4x+76=180

   -76   -76

4x=104

x=26

Input the solved x value into the angle to get the angle measure

4(26)+1 = 105

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

Answer:

d

Step-by-step explanation:

it is opened up because the voeff of X^2 tetm is positive