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3 years ago

The measure of the supplement if an angle is 46 more than 3 times the complement of the angle. Find the angle

Mathematics

2 answers:

NeTakaya3 years ago

8 0

ANSWER:

Let the required angle be x.

<u>Supplement of x</u> = (180° − x)
<u>Complement of x</u> = (90° − x)

⇒3 ×complement of x = 3(90° − x)

According to question;

Supplement of x = 3 × complement of x + 46°

⇒(180° − x) = 3(90° − x) + 46°

⇒180° − x = 270° − 3x + 46°

⇒− x + 3x = 316° − 180°

⇒2x = 136°

⇒x = 68°

AlexFokin [52]3 years ago

6 0

Answer:

44 degrees

Step-by-step explanation:

Let the supplement/compliment by

y=90

Complimentary angles add up to 90 degrees.

x+3

y=180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees

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aalyn [17]

If a(n) = (39n^4 -506n^3 + 2341n^2 - 4610n + 3416) / 8 then

<span>a(1) = 85 </span>
<span>a(2) = 17 </span>
<span>a(3) = 19 </span>
<span>a(4) = 4 </span>
<span>a(5) = 2</span>

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3 years ago

Match each question to the correct problem.

Maslowich

<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

$5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2$

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

$-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944$

b. Select the correct number.

$-\frac{1}{5}$ .

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

$-\sqrt{0.8}= -0.8944$

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em> $-\sqrt{0.8}$ .

<h3>Exercise 6.</h3>

a. Convert to decimals.

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em /> $-\sqrt{21} =-4.5826$

b. Select the correct answer.

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7 0

2 years ago

Solve the following system of equations for all three variables.

xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8 ----------------(I)

5x – 3y + 5z = -8 -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I) -2x + 3y – 4z = 8

(II) <u>5x – 3y + 5z = -8</u> {Add}

3x + z = 0 ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1) -5x + 3y - 5z = +8

<u>7x – 3y + 3z = 8</u> {Add}

2x -2z = 16 ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2 6x + 2z = 0

(B) <u>2x - 2z = 16</u> {Add}

8x = 16

Divide both sides by 8

x = 16/8

x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

6 + z = 0

z = -6

Plug in x = 2 and z = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

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3y = 8 - 20

3y = -12

y = -12/3

y = -4

<u />

7 0

3 years ago

Read 2 more answers

3 An open cone has a vertical angle measuring 40°

belka [17]

Answer:

13.41 cm

Step-by-step explanation:

The radius, height, and HALF of vertical angle makes a triangle.

Where

Radius will be the base of the triangle

Height will be the "height" of the triangle

Top angle will be HALF of vertical angle (40/2 = 20)

From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>

Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

The height of the cone would be around 13.41 cm

3 0

3 years ago

Find the volume of a cube with x+2

ikadub [295]

Answer:

x^3 + 6x^2 + 12x + 8

Step-by-step explanation:

(x+2)(x+2)(x+2)

(x^2 + 4x + 4)(x+2)

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4 years ago