Estimate the square root of 24 to the nearest tenth

Answer:

Since this graph is continuing, y must be any real number. So, d.

Answer:

la diagonale più lunga dovrebbe essere 37cm.

Step-by-step explanation:

Se cerchi la diagonale più lunga la formula dovrebbe essere questa:

A=p*(q/2)

234,95 = 12,7*(x/2)

234,95/12,7 = x/2

18,5 = x/2

18,5*2 = x

37 = x

Answer:

[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]

Step-by-step explanation:

[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]

Answer:

x = 6

Step-by-step explanation:

first find the angle

51 + 72 + x = 180

123 + x = 180

x = 180 - 123

x = 57

so the third angle is 57

now find the value of x in the given expression

8x + 9 = 57

8x = 57 - 9

8x = 48

x = 48/8

x = 6

now check whether the value of x is correct or not by evaluating the value of x in expression

8x + 9 = 57

8(6) + 9 = 57

48 + 9 = 57

57 = 57

so its true

Method 2

51 + 72 + (8x + 9) = 180

123 + 8x + 9 = 180

132 + 8x = 180

8x = 180-132

8x = 48

x = 48/8

x = 6

now again you can check by evaluating the value of x in the above expression

Answer:

The measure of angle B is 41.5°

The length of side a is 30.6 feet ⇒ to the nearest tenth

The length of side b is 32.9 feet ⇒ to the nearest tenth

Step-by-step explanation:

In the given Δ ABC

∵ m∠A = 38.1°

∵ m∠C = 100.4°

→ By using the fact above

∵ m∠A + m∠B + m∠C = 180°

∴ 38.1 + m∠B + 100.4 = 180

→ Add the like terms in the left side

∴ 138.5 + m∠B = 180

→ Subtract 138.5 from both sides

∴ m∠B = 41.5°

∴ The measure of angle B is 41.5°

∵ a is the opposite side of ∠A

∵ b is the opposite side of ∠B

∵ c is the opposite side of ∠C

→ By using the sine rule

∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4

→ Substitute them in the sine rule above

∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]

→ By using cross multiplication between the 1st and the 3rd fractions

∴ a × sin 100.4 = 48.8 × sin 38.1

→ Divide both sides by sin 100.4

∴ a = 30.61429861

∴ The length of side a is 30.6 feet ⇒ to the nearest tenth

→ By using cross multiplication between the 2nd and the 3rd fractions

∴ b × sin 100.4 = 48.8 × sin 41.5

→ Divide both sides by sin 100.4

∴ b = 32.87596206

∴ The length of side b is 32.9 feet ⇒ to the nearest tenth

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

Answer:

Step-by-step explanation:

-2x -3y = 5

4x + 3y = 17

2x = 22

x = 11

4(2) + 3y = 17

8 + 3y = 17

3y = 9

y = 3

(11,3)

Answer:

x=11, y=-9

Step-by-step explanation:

Answer:

1.44

Step-by-step explanation:

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

                      Your welcome

Answer:70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

[tex]\huge\mathtt{Hello!}[/tex]

[tex](6x - 23) = (4x + 9)[/tex]

[tex]6x -4x = 9 + 23[/tex]

[tex]2x = 32[/tex]

[tex]x = 16[/tex]

It is because the sides are equal, so the angles opposite to them also are equal.

Have a nice day!

Answer:

Step-by-step explanation:

Given the inequality −x − 10 > 14 + 2x

This are the steps to solve the expression for x;

−x − 10 > 14 + 2x

Step 1: Add to to both sides

−x − 10+10 > 14 + 2x+10

-x > 24+2x

subtract 2x from both sides

-x-2x >24+2x-2x

-3x>24

Divide both sides by 3;

-3x/-3 < 24/-3

x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

Answer:

The 7th term of given sequence is: 448

Step-by-step explanation:

Given sequence is:

7,-14,28,-56​

Here

a1 = 7

a2 = -14

a3 = 28

First of all we have to find the common ratio. The common ration is the ratio between two consecutive terms of a geometric sequence and is same for all consecutive terms of a geometric sequence.

So,

[tex]r = \frac{a_2}{a_1} = \frac{-14}{7} = -2\\r = \frac{a_3}{a_2} = \frac{28}{-14} = -2\\[/tex]

The common ratio is -2.

The general formula for geometric sequence is given as:

[tex]a_n = a_1r^{(n-1)}[/tex]

Putting values

[tex]a_n = 7.(-2)^{n-1}[/tex]

For 7th term, putting n=7

[tex]a_7 = 7*(-2)^{7-1}\\= 7 * (-2)^6\\= 7 *64\\= 448[/tex]

Hence,

The 7th term of given sequence is: 448

Answer:

A

Step-by-step explanation:

Answer:

(p-q) (3) = 40 The anwser is c

Step-by-step explanation:

If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

p(n)=4n²+4n−6 and q(n)=n²−5n+8

Substitute the given values and apply the arithmetic operation as,

(p−q) = (4n²+4n−6) - (n²−5n+8)

(p−q) =3n²-n+2

Put n = 3 for the given conditions,

(p−q)(3) =3(3)² - 3 +2

(p−q)(3) =27-3+2

(p−q)(3) =29-3

(p−q)(3) =26

Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

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Answer:

1

Step-by-step explanation:

The line is crossing over the y-axis on the 1.

Answer:

(0,1)

Step-by-step explanation:

The y-intercept is always the point where the line crosses the y-axis.

The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.

Given that,

0.02 of the area lies to the right of z.

Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.

Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98

Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.

Therefore, the value of z, rounded to two decimal places, is 2.06.

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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).

To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.

Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.

By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.

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Answer:

144

Step-by-step explanation:

Answer:

3.Yes, because triangle ABC has a 90 degree angle.

4.No, because triangle XYZ doesn’t have a 90 degree angle.

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Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ [/tex]

[tex] \bf \underline{What\: to\: do-} \\ [/tex]

To rationalise the denominator

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{We have,}[/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ \\ [/tex]

[tex]\textsf{The denominator is 5+2√3. Multiplying the numerator and denominator by 7-4√3,}\\[/tex]

[tex]\textsf{we get,}\\[/tex]

[tex] ⟹\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ [/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 + 4 \sqrt{3} )(7 - 4 \sqrt{3}) } \\ \\ [/tex]

[tex]\textsf{⬤ Applying Algebraic Identity

(a+b)(a-b) = a² - b² to the denominator}\\[/tex]

[tex]\textsf{We get,}\\[/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 {)}^{2} - (4 \sqrt{3} {)}^{2} } \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 8 \sqrt{3 \times 3} }{49 - 48} \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 24 }{1} \\ \\ [/tex]

[tex]⟹(35 - 24) - 6 \sqrt{3} \\ \\ [/tex]

[tex]⟹11 - 6 \sqrt{3} \: \: \: \tt \red{ Ans}. \\ \\ [/tex]

[tex] \bf \underline{Hence \:the \:denominator\: is\: rationalised.}\\[/tex]

Answer:

Jessie

Step-by-step explanation:

Jessie answered 4 more times correct that Johnny so she will get a better grade.

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

Answer:

72 square units

Step-by-step explanation:

area of a paralellogram = bh

Base = 6

Height = 12

6 x 12 = 72 square units

Yes, this is polynomial, and your answer will be:

(2x − 1) (3x − 2) (x^2 + 2x + 2)

Edit:

Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.

(2x − 1) (3x^3 + 4x^2 + 2x − 4)

Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.

(2x − 1) (3x − 2) (x2 + 2x + 2)

The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The polynomial is given in the question, as follows:

6x⁴ + 5x³ − 10x + 4

We have to factor using the rational roots test,

⇒ (2x − 1)(3x³ + 4x² + 2x − 4)

Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.

⇒ (2x − 1)(3x − 2)(x² + 2x + 2)

Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).

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Answer:

Amount of discount =80-70=10$

percentage:-

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{10}{80}}\times 100 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {10}{4}}5 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {50}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12.5\% [/tex]

Answer: the answer is 12.5

Step-by-step explanation:

Answer: -40

Step-by-step explanation:

1. 30 -20 = 10

2. 10 + 10 = 20

3. 20 - 20 = 0

4. 0 + 60 = 60

5. 60 - 100 = -40

The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 or 0.5921 .

Given, Jillian parks her car randomly in a parking slot of 76 spaces.

Total number of Parking spots : 76

Number of parking spots above number 31 : 76 - 31 = 45

Probability = Successful events/ Total events

Probability = 45/76

The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 .

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