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2 years ago

Find the smallest integer value of X that satisfies the inequality of 6X>7

Mathematics

1 answer:

Nastasia [14]2 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

6x > 7

x > 7/6

The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

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Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

First case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

Applying the law of sines

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

$A=90^o$

Find the measure of angle C

In a right triangle

we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

therefore

$C=60^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

$A=90^o$

$B=30^o$

$C=60^o$

$a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units$

Second case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

4 0

3 years ago

Can someone help please!! Provide workout please!!!

mamaluj [8]

Answer:

it is 55%

Step-by-step explanation:

I think it is 55 %

5 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINLY PLEASE HELP ITS THE TOP ONE

Anastasy [175]

Answer:

I think it is C

Step-by-step explanation:

Forgive me if I am wrong the reason I think so is I did one like this last week. Sorry if it is wrong trying to remember.

5 0

3 years ago

Evaluate for x=2 and y=3: x^2y^-3/x^-1y

Artemon [7]

Answer:

8/81

Step-by-step explanation:

It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.

The given expression reduces to x³ / y^4.

Substituting 2 for x and 3 for y, we get:

(2)³ 8

--------- = ---------- (Agrees with first given possible answer)

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4 0

3 years ago

13 1/10-7 9/10 i need help

a_sh-v [17]

Answer:

52/ 10 = 5 2/10 or 5 1/5

Step-by-step explanation:

first turn the mixed fractions into improper fraction

13 1/10= 131/10

7 9/10= 79/10

since the two fractions already have a common denominator just subtract

131 - 79 = 52

52/ 10 = 5 2/10 or 5 1/5

4 0

2 years ago

Read 2 more answers