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3 years ago

27 hundredths + 7 hundredths

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Answer:

34 hundredhs

Step-by-step explanation:

27 plus 7= 34

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A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the fun

zavuch27 [327]

The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.

The volume of a cylinder is given by:

$V=\pi r^2h$
where: r is the radius of the cylinder and h is the height of the cylinder.

Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:

$V=\pi(0.75)^2(1.5)=0.84375\pi=2.65072cm^3$

Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.

5 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ

steposvetlana [31]

Answer:

Part A:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

$\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}$

But when it is about division:

$\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}$

Example of subtraction of polynomials:

$(2x^2+2x+3) - (x^2+5x+2)$

$x^2-3x+1$

Step-by-step explanation:

First, it is very important to define what is a polynomial in standard form:

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

$x^5-5x^4+3x^3-3x^2+7x+20$

but,

$x^5+3x^3-3x^2+7x+20-5x^4$ is not in standard form.

For this question, I can simply give the answer: $x^5-5x^4+3x^3-3x^2+7x+20$ and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For $a=x \text{ and } b=7$

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

$\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5$

Sorry but I will not type every step for each value of $k$

The first one is enough.

For $k=0$

$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$

Doing that for $k$ values:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

8 0

3 years ago

Find the measurement indicated in each parallelogram.

ikadub [295]

Answer:

9. m∠v = 50°

10. m∠EFG = 60°

11. SU = 32

12. m∠G = 70°

13. m∠KMN = 37°

14. m∠CDE = 40°

Step-by-step explanation:

36x - 1 + 29x + 1 + 50 = 180

36x + 29x = 65x

-1 + 1 = 0

65x + 50 = 180

65x + 50 - 50 = 180 - 50

65x = 130

65x/65 = 130/65

x = 2

m∠v = m∠x

m∠v = 50°

10.

x + 120 + 26 + 2x + 34 = 180

Step 1: Simplify both sides of the equation.

x+120+26+2x+34=180

(x+2x)+(120+26+34)=180(Combine Like Terms)

3x+180=180

Step 2: Subtract 180 from both sides.

3x+180−180=180−180

3x=0

Step 3: Divide both sides by 3.

3x/3 = 0/3

x = 0

m∠EFG = 180 - m∠E

= 180 - (x + 120)

= 180 - (0 + 120)

= 180 - 120

= 60

m∠EFG = 60°

11.

2x − 2 = x + 7

Step 1: Subtract x from both sides.

2x−2−x=x+7−x

x−2=7

Step 2: Add 2 to both sides.

x−2+2=7+2

x=9

SU = 2(QU)

= 2(x + 7)

= 2(9 + 7)

= (2)(16)

= 32

SU = 32

12.

5x+10+44+4x+18=180

Step 1: Simplify both sides of the equation.

5x+10+44+4x+18=180

(5x+4x)+(10+44+18)=180(Combine Like Terms)

9x+72=180

Step 2: Subtract 72 from both sides.

9x+72−72=180−72

9x=108

Step 3: Divide both sides by 9.

9x/9 = 108/9

x = 12

m∠G = m∠E

m∠G = 5x + 10

m∠G = 5(12) + 10

m∠G = 70°

13. 10x + 5 + 38 + 4x - 3 = 180

10x+5+38+4x−3=180

Step 1: Simplify both sides of the equation.

10x+5+38+4x−3=180

10x+5+38+4x+−3=180

(10x+4x)+(5+38+−3)=180(Combine Like Terms)

14x+40=180

Step 2: Subtract 40 from both sides.

14x+40−40=180−40

14x=140

Step 3: Divide both sides by 14.

14x/14 = 140/14

x = 10

m∠KMN = 4x - 3

= 4(10) - 3

= 40 - 3

= 37

m∠KMN = 37°

14. 29x - 5 + 5x + 15 = 180

Step 1: Simplify both sides of the equation.

29x−5+5x+15=180

29x+−5+5x+15=180

(29x+5x)+(−5+15)=180(Combine Like Terms)

34x+10=180

Step 2: Subtract 10 from both sides.

34x+10−10=180−10

34x=170

Step 3: Divide both sides by 34.

34x/34 = 170/34

x = 5

m∠CDE = 5x + 15

= 5(5) + 15

= 25 + 15

= 40

m∠CDE = 40°

5 0

2 years ago

What is the value of this expression? {5×(13−8)}+12÷6

Tom [10]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's evaluate ~

$\qquad \tt \dashrightarrow \: \{5 \times (13 - 8) \} + 12 \div 6$

$\qquad \tt \dashrightarrow \: \{5 \times (5) \} + 12 \div 6$

$\qquad \tt \dashrightarrow \: \{5 \times 5\} + 2$

$\qquad \tt \dashrightarrow \:25 + 2$

$\qquad \tt \dashrightarrow \:27$

6 0

2 years ago

What properties do all parallelograms possess?

saw5 [17]

Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
The diagonals bisect each other.

7 0

3 years ago