Answer:
$52.324
Step-by-step explanation:
<span>4x+7=15
First step is to subtract 7 from both sides to get rid of it.
4x + 7 - 7 = 15 - 7
4x = 8
Now all you have to do is divide both sides by 4.
4x/4 = 8/4
x = 2
The answer is x = 2.</span>
In this number 800 is 10 times as much as what number. To answer the query we can illustrate this problem into a mathematical equation of
1. 10 x N = 800
2. 10N = 800
3. N = 800/10
4. N = 80
the answer is 80.
Hope this helps!
Answer:
just divide 48 by 120
Step-by-step explanation:
Answer:
- The shaded region is 9.83 cm²
Step-by-step explanation:
<em>Refer to attached diagram with added details.</em>
<h2>Given </h2>
Circle O with:
- OA = OB = OD - radius
- OC = OD = 2 cm
<h2>To find</h2>
<h2>Solution</h2>
Since r = OC + CD, the radius is 4 cm.
Consider right triangles OAC or OBC:
- They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.
Recall the property of 30°x60°x90° triangle:
- a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.
It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.
In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.
Area of <u>sector:</u>
- A = π(θ/360)r², where θ- central angle,
- A = π*((mAOC + mBOC)/360)*r²,
- A = π*((60 + 60)/360))(4²) = 16.76 cm².
Area of<u> triangle AO</u>B:
- A = (1/2)*OC*(AC + BC), AC = BC = OC√3 according to the property of 30x60x90 triangle.
- A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²
The shaded area is:
- A = 16.76 - 6.93 = 9.83 cm²