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3 years ago

Two angles have measures of 53° and 127°. What type of angle pair do they form?

1 answer:

6 0

If it’s a triangle it’s An obtuse angle because so far 53 + 127 equals 180 and obviously if it’s a triangleyou need a third angle so it’d be over 180 meaning obtuse. If those are the only sides and it’s not a triangle then it’s a straight angle because a straight angle is 189 degress

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GIVING 100 POINTS

Mekhanik [1.2K]

Answer:

-3x-6<-33 and =3x-65-6

Step-by-step explanation:

8 0

3 years ago

34 in.

Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = $\sqrt{1156-256}$

= $\sqrt{900}$

= 30 in.

Perimeter of the triangular base = AB + BC + AC

= 16 + 30 + 34

= 80 in

Lateral surface area = 80 × 22

= 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(30)(16)$

= 240 in²

Total surface area = 1760 + 2(240)

= 1760 + 480

= 2240 in²

Volume = Area of the triangular base × Height

= 240 × 20

= 4800 in³

6 0

2 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$