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2 years ago

Someone please help me I’m really struggling I will give brainliest

Mathematics

1 answer:

viktelen [127]2 years ago

8 0

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pi π = 3.14...

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Radius: r = d/2
Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Substitute [R]: r = 19 cm/2
Divide: r = 9.5 cm
Substitute [SAS]: SA = 4π(9.5 cm)²
Exponents: SA = 4π(90.25 cm²)
Multiply: SA = 361π cm²
Multiply: SA = 1134.11 cm²
Round: SA ≈ 1134 cm²

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2 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

So that;

$7^{2}$ = $6^{2}$ + $(6.5)^{2}$ - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

= 29.25

Cos C = $\frac{29.25}{78}$

= 0.375

C = $Cos^{-1}$ 0.375

= 67.9757

C = $68^{o}$

Apply the Sine rule to determine the value of B,

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{6.5}{Sin B}$ = $\frac{7}{Sin 68}$

SIn B = $\frac{6.5 *Sin 68}{7}$

= 0.861

B = $Sin^{-1}$ 0.861

= 59.43

B = $59.4^{o}$

Thus to determine the value of A, we have;

A + B + C = $180^{o}$

A + $59.4^{o}$ + $68^{o}$ = $180^{o}$

A = $180^{o}$ - 127.4

= 52.6

A = $52.6^{o}$

Therefore the sizes of the internal angles of the triangle are: A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

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1 year ago

The escalator rises 25° from the ground and a vertical distance of 42 feet. How much horizontal distance does the escalator cove

zvonat [6]

Tangent (25) = opp / adj = 42 / horizontal distance
horizontal distance = 42 / tangent (25)
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2 years ago