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Naddik [55]
3 years ago
11

What is the area of the rectangular part of the following composite figure?

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0
It's 48ft².

12 · 4 = 48
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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

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∅ = 43.8°

6 0
3 years ago
Plz help me to answer
AVprozaik [17]

Answer:

for 3, 4 or both?

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Step-by-step explanation:

Wait is 4 a question?

4 0
3 years ago
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Determine f(x-1) f(x)=√x+6-8
docker41 [41]
F(x) = (√ x +6) +8
f(x-1) = (√ x-1 +6) -8
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4 0
3 years ago
Help please. Find the measure of each angle
olga nikolaevna [1]

1.  139

2.  41

3.  139

4.  139

5.  41

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8 0
3 years ago
Evaluate.<br> 1/2 (11)(15 + 17) =
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Answer: 176

Step-by-step explanation:

To evaluate the equation we have to remove the parentheses and add 15 + 17...

1/2 (11)(15 + 17) =

= 11 * 32 * 1/2

Now, we have to turn it into a fraction and multiply it...

\frac{1*11*32 }{2}

= \frac{352}{2}

352 ÷ 2 = 176

I hope this helps!

8 0
3 years ago
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