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mrs_skeptik [129]

2 years ago

13

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.

2 answers:

Nataly [62]2 years ago

8 0

19 legs for 3-legged stools

Viefleur [7K]2 years ago

6 0

4 legged tables : x 3 legged stools : y x + y = 20 y= 20 - x 4x + 3y = 68 Replace y by 20 - x so we only have one letter 4x + 3(20 - x) =68 4x + 60 - 3x =68 x + 60 = 68 x = 8 To find y replace x by 8 y = 20 - 8 y = 12 So you have 8 four legged chairs and 12 three legged stools. Hope I helped!

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Use a sum or difference identity to find exact value of sin 255.

vagabundo [1.1K]

Sin (x + y) = sin x cos y + cos x sin y

<span>sin 255 </span>
<span>= sin (210 + 45) </span>
<span>= sin 210 cos 45 + cos 210 sin 45 </span>
<span>= (-1/2)(√(2)/2) + (-√(3)/2)(√(2)/2) </span>
<span>= -√(2)/4 + (-√(6)/4) </span>
<span>= -√(2)/4 - √(6)/4 </span>
<span>= (-√(2) - √(6)) / 4</span>

5 0

3 years ago

If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ___

SVEN [57.7K]

Answer:

(B)All right angles are congruent

Step-by-step explanation:

Given that:

$\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E$

The reason for this congruency is that both are right angles and in fact, all right angles are congruent.

5 0

2 years ago

Which expression is equivalent to 4x(2x+3)-5x

ehidna [41]

Answer:

<h2><em><u>15x</u></em></h2>

Step-by-step explanation:

4x(2x+3)-5x

4x(8x+3)-5x

8x+12x-5x

8x+12x=20x

20x+-5x=15x

I really hope this helps plz let me know if its wrong! Im sorry if it is!

3 0

2 years ago

A large bag or sugar weighs 7 1/2 lb. Gow Much does 1 1/4 bags of sugar weighs

arsen [322]

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that the weight of a large bag of sugar is $7\frac{1}{2}$ . This complex fraction can be written as

$7\frac{1}{2}=\frac{14+1}{2}=\frac{15}{2}$

So, the weight of a large bag of sugar is $\frac{15}{2}$ .

The number of bags is $1\frac{1}{4}$ . It means the number of bags is number of bags is $\frac{5}{4}$ .

$1\text{ Bag}=\frac{15}{2}\text{ lb}$

Multiply both side by $\frac{5}{4}$ .

$1\times \frac{5}{4}\text{ Bag}=\frac{15}{2}\times \frac{5}{4}\text{ lb}$

$\frac{5}{4}\text{ Bag}=\frac{75}{8}\text{ lb}$

$\frac{5}{4}\text{ Bag}=9\frac{3}{8}\text{ lb}$

Therefore correct option is 4.

5 0

3 years ago

Read 2 more answers

WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.

DochEvi [55]

Answer:

angle M = 18°

Step-by-step explanation:

angle M + angle N + angle O = 180°

so from question

angle M + 5(angle M) + 4(angle M) = 180°

so angle M = 18°

7 0

2 years ago