Find all sets of four consecutive integers whose sum is between 95 and 105

Answers

Answer 1

Answer: Hello,
Let n-2,n-1,n,n+1 the four consecutive integers.

s=n-2+n-1+n+n+1=4n-2
==> 95<=4n-2<=105
==> 97<=4n<=107
==>24.25<=n<=26.75

n= 25 ou n=26
if n=25, s=23+24+25+26=98
if n=26, s=24+25+26+27=102

2 solutions: {23,24,25,26} and {24,25,26,27}

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Answers

Answer:

Step-by-step explanation:

In triangle ABC we have $a = 31, c = 42, ∠A = 39°$

To find other sides and angles.

Use sine formula for triangles

$(a)/(sin A) =(b)/(sin B) =(c)/(sinC) \n(31)/(sin39) =(b)/(sinB) =(42)/(sinc)$

Cross multiply to get

$Angle C =58.5^(o)$ or $121.5$

Angle B = 180-A-C

= $82.5^(o)$ or $19.5$

b =18.84 or 16.44

There are two triangles

with

$Side a = 31\nSide b = 48.84\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 82.50° \nAngle ∠C = 58.5°$

$Side a = 31\nSide b = 16.44204\nSide c = 42\nAngle ∠A = 39° \nAngle ∠B = 19.5° \nAngle ∠C = 121.5°$

Los op vir :/ Solve for y: 3.4.1 3y+7= 4y 3.4.2 10-3y+4=8+4v-y 3.4.3 2(y+1)=10-2/3v-4)

Answers

Step-by-step explanation: First equation: 3.4.1 3y + 7 = 4y

Subtract 3y from both sides: 3.4.1 (3y - 3y) + 7 - 3y = 4y - 3y

Simplify: 3.4.1 7 = 4y

Divide both sides by 3.4.1: 7 / 3.4.1 = 4 / 3.4.1 * y

Multiply both sides by y: 7y = 4 * 3.4.1y

Substitute 7y with LHS: 4 * 3.4.1y = 7 * Second equation: 3.4.2 10 - 3y + 4 = 8 + 4v - y

Add 3y to both sides: 3.4.2 (10 - 3y + 4) + 3y = 8 + 4v - y + 3y

Simplify: 3.4.2 17 = 12 + 4v

Subtract 12 from both sides: 3.4.2 (17 - 12) + 12 = 4v

Divide both sides by 3.4.2: 4.2 * 5 = 4v

Multiply both sides by v: 4.2v = 4 *

The length of a football field is 120 yd. The width of the football field is 50 yd. Which is the correct unit of measurement to use when figuring out how much rope is needed to surround the field? A. yd B. yd2 C. yd3

Answers

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The brackets for a shelf are in a shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio x : 2x : 3x :

Answers

ok so remember that al angles add to 180
angles are x,2x,3x

add
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6x=180
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What is the direct object in the sentence? Will you boys try something different now?
a. boys
b. try
c. something
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Answers

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Find the distance between the two points (6, -2), (1, -5)

Answers

Answer:

5.83095

Step-by-step explanation:

X1= 6

X2= 1

Y1 = -2

Y2= -5

Distance Formula = √(X2-X1)²+ (Y2-y1)²

Step 1. calculate (X2-X1)²

(1 - 6)2 = 25

Step 2. calculate (Y2-Y1)²

(-5 - -2)2 = 9

Step 3. calculate √25 + 9

= 5.83095

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