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tresset_1 [31]
3 years ago
11

Simplify the equation 10f(f+7)

Mathematics
1 answer:
finlep [7]3 years ago
8 0
10f^2+70f hope this helps..

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Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

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>

  • The area of segment ADB.

<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

8 0
2 years ago
GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?
mixas84 [53]

Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mathematics pls help me.
uysha [10]

Answer:

I think the answer may be 465

Step-by-step explanation:

105+115=220

150+95=245

245+220=465

8 0
3 years ago
If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in
monitta

x = \frac{-11}{3}

<u>Step-by-step explanation:</u>

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒ 2x - 8 = 5x + 3

⇒ (2x - 8)-2x = (5x + 3)-2x { subtract 2x from both side }

⇒ 0 - 8 = 5x-2x + 3

⇒ - 8 = 3x + 3

⇒ - 8 -3= 3x + 3-3 { subtract 3 from both sides }

⇒ - 11 = 3x + 0

⇒ - 11 = 3x

⇒ \frac{-11}{3}  = \frac{3}{3} x { divide 3 from both sides }

⇒ x = \frac{-11}{3}

3 0
3 years ago
Can you please explain ME how to solve identity of algebra homework ​
yKpoI14uk [10]

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

3 0
3 years ago
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