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yarga [219]
2 years ago
14

Find the value of x that makes the equation -3 (x + 10) + 2x = 30 true.

Mathematics
1 answer:
Anit [1.1K]2 years ago
6 0
The answer to your problem would be -60
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Find the total area for the regular pyramid.
hram777 [196]

Answer:

  • Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

<u>Find the base area:</u>

  • A = 3√3/2a²
  • A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

  • \sqrt{8^2+6^2} =\sqrt{100} =10

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

  • s = P/2 = (10*2 + 6)/2 = 13
  • s - a = s - b = 13 - 10 = 3
  • s - c = 13 - 6 = 7
  • A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}

<u>Total surface area:</u>

  • S = 6*3\sqrt{91}+54\sqrt{3}  =18\sqrt{91}+54\sqrt{3}

Correct choice is B

3 0
2 years ago
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular
vlada-n [284]

Answer:

62.8 feet

Step-by-step explanation:

Radius of the fencing is:

6+4 = 10 feet

Circumference = 2×pi×r

= 2×pi×10

= 20pi

= 62.83185307 feet

3 0
3 years ago
I need help please 25 points for whoever helps me
34kurt
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

x < 3
3 0
3 years ago
Simplify 7/x+2-4/x-5
lesantik [10]
-3(x-1)/x would be your answer
3 0
3 years ago
Andrew wants to make a decorative placemat in the shape of an isosceles trapezoid with a height of 24 inches and bases of 36 inc
OlgaM077 [116]
The area of a trapezoid can be found by the formula:

A = [(B + b) × h] / 2

where:
B = major base = 36 in
b = minor base = 30 in
h = height = 24 in

Therefore, with the given data you can calculate the area by applying the formula:
<span>A = [(36 + 30) × 24] / 2
   = [66 </span><span>× 24] / 2
   = 792 in</span>²

Hence, the area of the trapezoid is 792 in<span>².</span>
3 0
4 years ago
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