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3 years ago

I just need a confirmation that my answer is right? Find side AC. Round to the nearest hundredth.

1 answer:

hjlf3 years ago

5 0

Your procedure is perfect, you're fine, however, bear in mind that, in a calculator when plugging in values for some functions, specially trigonometric ones, if you tell it cos(40), and the calculator is in Radian mode, it thinks you meant cosine of 40 radian units, if you give it cos(40) and it's in Degree mode, it thinks you meant 40°, and 40 radians is hugely different than 40°.

so, make sure your calculator is in Degree mode, as you'd have guessed, it isn't.

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The coordinates of quadrilateral ABCD are A(-1,-5), B(8,2), C(11,13), and D(2,6). Using coordinate geometry, prove that quadrila

Sliva [168]

Answer:

The quadrilateral ABCD is a rhombus.

Step-by-step explanation:

A rhombus is a quadrilateral having equal sides.

If ABCD is a rhombus then,

AB = BC = CD = DA

It is provided that the coordinates of the rhombus ABCD are:

A = (-1, -5)

B = (8, 2)

C = (11, 13)

D = (2, 6)

Use the distance formula to compute the lengths of AB, BC, CD and DA.

The distance formula is:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Compute the length of AB:

$AB=\sqrt{(8-(-1))^{2}+(2-(-5))^{2}}=\sqrt{130}=11.4$

Compute the length of BC:

$BC=\sqrt{(11-8)^{2}+(13-2)^{2}}=\sqrt{130}=11.4$

Compute the length of CD:

$CD=\sqrt{(2-11)^{2}+(6-13)^{2}}=\sqrt{130}=11.4$

Compute the length of DA:

$DA=\sqrt{(2-(-1))^{2}+(6-(-5))^{2}}=\sqrt{130}=11.4$

Thus, the lengths AB, BC, CD and DA are equal, i.e. all sides are of length 11.4.

Hence proved that the quadrilateral ABCD is a rhombus.

7 0

3 years ago

Is 28.256 a positive or negative notation?

WARRIOR [948]

Answer:

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore.

HOPE THIS HELPED!!!!!!!!!!!!!XDDDDDD

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2 years ago

Trail mix is sold in 1-pound bags. Mary will buy some trail mix And re-package it si that each f the 15 members of her hiking cl

mixer [17]

Okay. so we need 15 2/5 pound bags. We'll calculate how many pounds that actually comes to. Our problem is 15x2/5. Using cross simplification, our problem becomes 3x2. 3x2=6. We need 6 pounds. That means that we must have 6 1-pound bags to fit with no leftovers.

4 0

2 years ago

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What are the chances of randomly selecting an odd number from the numbers 1-16?

jok3333 [9.3K]

Answer: 8/16

Step-by-step explanation: Half of the numbers are odd, half of the others as even, so 8/16, which is half of the numbers.

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2 years ago

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What are the properties of an obtuse triangle

coldgirl [10]

An obtuse triangle will have one and only one obtuse angle.

The other two angles are acute angles.

The sum of the two angles other than the obtuse angle is less than 90º.

The side opposite to the obtuse angle is the longest side of the triangle.

The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.

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3 years ago