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4 years ago

What is the solution to this inequality x/12 +3<7

Mathematics

1 answer:

soldier1979 [14.2K]4 years ago

8 0

X=48
You subtract three from both sides of he inequality then multiply by 12 on both sides of it
Hope that helped

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Find the exact circumference of the circle. please help?<br>

Bogdan [553]

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

$a \sqrt{2}$

where a is the side lengths of the square.

So this means the diagonal of the square is

$18 \sqrt{2}$

The diagonal is also the diameter of the main circle. The formula for circumference is

$d\pi$

where d is the diameter.

So the diameter is

$(18 \sqrt{2} )\pi$

$18\pi \sqrt{2}$

The third option is correct

7 0

3 years ago

Solve the equations.<br> 6(k-7) - 2<br> =5

lys-0071 [83]

Answer:

k= 49/6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

From a population of size 400, a random sample of 40 items is selected. The median of the sample Group of answer choices must be

avanturin [10]

Answer:

400+40+200+400 +200 +10+400×2+10

4 0

4 years ago

the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the to

Tcecarenko [31]

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

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

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters$

The height of the tower is 30.51 meters

6 0

3 years ago

Brandon completed 12 1/2 problems in 50 minutes if he worked at a constant rate how long would it take him to complete in 8 prob

adelina 88 [10]

Answer:

4 questions

Step-by-step explanation:

50 divided by 12.5 is 4

4 0

3 years ago