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3 years ago

Find the missing terms of the arithmetic sequence

Mathematics

2 answers:

Pavel [41]3 years ago

6 0

Answer:

missing terms are -2,3,8

Step-by-step explanation:

-7, ?, ?, ?, 13

To find missing terms we add last two term and divide it by 2

so that we will get middle term

$\frac{-7+13}{2} = \frac{6}{2} =3$

so sequence becomes

-7, ?, 3, ?, 13

Again we add -7 and 3 and then divide it by 2 to get middle number

$\frac{-7+3}{2} = \frac{-4}{2} =-2$

so sequence becomes

-7, -2, 3, ?, 13

Again we add 3 and 13 and then divide it by 2 to get middle number

$\frac{3+13}{2} = \frac{16}{2} =8$

-7, -2, 3, 8, 13

So, missing terms are -2,3,8

mina [271]3 years ago

6 0

Answer:

the missing terms are -2,3,8

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Major arc JL measures 300°. Which describes triangle JLM?

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A scale drawing of a patio is shown at right. The scale is 3 inches : 5.2 feet. What are the length and width of the patio? Find

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The length is 5.2 and the width is 3 and the area is 15.6

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3 years ago

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Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!

rewona [7]

Answer:

Exercise 1: The length of the unknown leg is 4 inches.

Exercise 3: The following straws can be used to construct the triangle: b) $3\,in$ , c) $4.5\,in$ , d) $6.5\,in$ , e) $10\,in$ , f) $13.5\,in$

Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

Step-by-step explanation:

Exercise 1:

Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:

$y = \sqrt{l^{2}-x^{2}}$ (1)

Where:

$l$ - Hypotenuse, in inches.

$x$ - Known leg, in inches.

$y$ - Unknown leg, in inches.

If we know that $l = 11\,in$ and $x = 10\,in$ , then the length of the unknown leg is:

$y = \sqrt{21}$

Since 4 is the least whole number closest to $\sqrt{21}$ , then we conclude that the length of the unknown leg is 4 inches.

Exercise 3:

The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:

$x + y > l > x-y$ (2)

Where:

$x$ - Greater side, in inches.

$y$ - Lesser side, in inches.

$l$ - Missing side, in inches.

If we know that $x = 8\,in$ and $y = 6\,in$ , then we have the following range of missing sides:

$14\,in > l > 2\,in$

The following straws can be used to construct the triangle: b) $3\,in$ , c) $4.5\,in$ , d) $6.5\,in$ , e) $10\,in$ , f) $13.5\,in$

Exercise 4:

Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:

(i) $x = 4\,in, y = 2\,in$

$6\,in>l>2\,in$

Possible choices: 5 inches.

(ii) $x = 5\,in, y = 2\,in$

$7\,in > l > 3\,in$

Possible choices: 4 inches, 6 inches.

(iii) $x = 6\,in, y = 2\,in$

$8\,in > l > 4\,in$

Possible choices: 5 inches, 6 inches.

(iv) $x = 10\,in, y = 2\,in$

$12\,in > l > 8\,in$

Possible choices: None.

(v) $x = 5\,in, y = 4\,in$

$9\,in > l > 1\,in$

Possible choices: 2 inches, 6 inches.

(vi) $x = 6\,in, y = 4\,in$

$10\,in > l > 2\,in$

Possible choices: 5 inches.

(vii) $x = 10\,in, y = 4\,in$

$14\,in > l > 6\,in$

Possible choices: None.

(viii) $x = 6\,in, y = 5\,in$

$11\,in > l > 1\,in$

Possible choices: 2 inches, 4 inches, 10 inches.

(ix) $x = 10\,in, y = 5\,in$

$15\,in > l > 5\,in$

Possible choices: 6 inches.

(x) $x = 10\,in, y = 6\,in$

$16\,in > l > 4\,in$

Possible choices: 5 inches.

Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

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3 years ago

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Natalija [7]

Answer:

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Step-by-step explanation:

From the graph given :

Mike's travel :

School to Mall= 16 miles

Mall to Library = 30 miles

Total travel = 16 + 30 = 46 miles

Henry's travel :

From school to Library = Hypotenus :

Distance can be obtained using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √(30² + 16²)

Hypotenus = √1156

Hypotenus = 34 miles

Difference in Distance covered :

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4 0

3 years ago

What is -2x-18=-4x-6<br> need step by step

Kazeer [188]

Answer:

$\boxed {x = 6}$

Step-by-step explanation:

Solve for the value of $x$ :

$-2x - 18 = -4x - 6$

-Take $4x$ and add it to $-2x$ :

$-2x - 18 + 4x = -4x + 4x - 6$

$2x - 18 = -6$

-Add both sides by $18$ :

$2x - 18 + 18 = -6 + 18$

$2x = 12$

-Divide both sides by $2$ :

$\frac{2x}{2} = \frac{12}{2}$

$\boxed {x = 6}$

Thus, the value of $x$ is $6$ .

6 0

3 years ago

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