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4 years ago

Find the size of angle YZX

Mathematics

1 answer:

Tasya [4]4 years ago

3 0

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

$XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm$

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3 years ago

Find the sum of the first 12 terms of the sequence. Show all work for full credit.

xeze [42]

Answer:

The sum of 12 terms of AP = -318

Step-by-step explanation:

Points to remember

Sum of n terms of an AP

Sₙ = n/2[ 2a + (n - 1)d]

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<u>To find the sum of 12 terms</u>

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3 years ago

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4 years ago

Read 2 more answers

Find the area of this shape.

mart [117]

Answer:

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Step-by-step explanation:

you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.

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4 years ago

A company manufactures a part for which there is a desired weight. There is a tolerance of N%, meaning that the range between mi

aleksandrvk [35]

Answer:

Step-by-step explanation:

(A) Determine what the tolerance is for the desired weight 97

The tolerance N% is equal to 1.5% of 97

1.5/100 × 97 = 1.455

Lower limit = 97 - 1.455 = 95.545

Upper limit = 97 + 1.455 = 98.455

(B) Place the vector values into two groups;

- Variables lower than 97

95.5, -97.2, 96.2, 96.1

- Variables higher than 97

98.2, 100, 99.9, 99.8

1. Value 97 is within the tolerance. As a matter of fact, it is the desired weight.

2. Value 98.2 is within the tolerance

3. Value 95.5 is within the tolerance

4. Value -97.2 is far below the tolerance bracket or lower limit

5. Value 96.2 is within the tolerance

6. Value 100 is outside the tolerance

7. Value 99.9 is outside the tolerance

8. Value 99.8 is outside the tolerance

9. Value 96.1 is within the tolerance

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3 years ago