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nata0808 [166]
3 years ago
12

??????????????????????????

Mathematics
2 answers:
Bezzdna [24]3 years ago
5 0
Aaron is 11 and Laura is 12.
gogolik [260]3 years ago
3 0
Aaron is 1 year younger than Laura
Their combined age is 23

Let

Aaron = A
Laura = L

A = L - 1
A + L = 23

Plug in "L - 1" for "A"

(L - 1) + L = 23

Simplify, combine like terms

L - 1 + L = 23

2L - 1 = 23

isolate the L, add 1 to both sides

2L - 1 (+1) = 23 (+1)
2L = 24

Divide 2 from both sides to isolate the L

2L/2 = 24/2

L = 24/2

L = 12

Laura is 12 years old

Plug in 12 for L in one of the equations

A = L - 1
A = (12) - 1
A = 11

Aaron is 11 years old


hope this helps
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A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
7 0
2 years ago
1.
Nana76 [90]

Answer:

12 feet

Step-by-step explanation:

Area of a Rectangle: l × w

84 ft² = l × 7 ft

Length = 84 ft² ÷ 7 ft = 12 feet

Hope this helps.

8 0
3 years ago
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