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KonstantinChe [14]
3 years ago
10

Please help ??????????

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

  -9i -j

Step-by-step explanation:

DE has components E - D = (-1, 5) -(8, 6) = (-1-8, 5-6) = (-9, -1). These components are the multipliers for the orthogonal unit vectors (i, j).

In terms of the unit vectors i and j, DE is ...

  DE = -9i -j

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Ok so a compass, is a technical drawing instrument that can be used for inscribing circles or arcs. Compasses can be used for drafting, navigation and graphing.
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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
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An average sized gray whale eats 9,849 pounds of plankton per week. On average,how much does it eat per day.Please show your wor
nata0808 [166]
1,407 on average a day. 9,849/7=1,407
3 0
3 years ago
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A painting is 6 in tall and 4 in wide. if it is reduced to a width of 2 in then how tall will it be?
Vlada [557]

6 inches squared is your answerStep-by-step explanation:4/2=2 6/2=3

3times 2 equals 6

8 0
3 years ago
1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....
Ymorist [56]

Answer:

\boxed{225}

.

Step-by-step explanation:

Arithmetic sequence

Un = a + (n - 1)b

.

First step, find its difference

b = U_2 - U_1

b = 6 - 3

b = 3

.

So, we get

a = 3

b = 3

.

Finally, Let's find the 75th term

U_{75} = 3 + (75 - 1)3

U_{75} = 3 + (74)3

U_{75} = 3 + 222

U_{75} = 225

4 0
3 years ago
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