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4 years ago

The figure shown below is a rhombus. Give the angle value (numerical, not the letters.

Mathematics

2 answers:

Archy [21]4 years ago

8 0

Answer:

90 degrees

Step-by-step explanation:

In a rhombus, the middle two diagonal lines ALWAYS are perpendicular. When two lines are perpendicular, that means that the angles have a value of 90 degrees, so angle PXM is 90 degrees.

Rzqust [24]4 years ago

6 0

Answer:

90 deg

Step-by-step explanation:

Recall that for a rhombus, the diagonals always intersect at right angles.

Hence angle PXM is 90 deg

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Choose the correct vertex for the following quadratic function.

frez [133]

Answer:

U (2,-1)

Step-by-step explanation:

if you replace x to 2, your answer will come out to be -1

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3 years ago

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What is 0.00078 in scientific notation?

frozen [14]

Answer: 7.8 x 10^-4

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3 years ago

Use a reference angle to write sec255∘ in terms of the secant of a positive acute angle. Do not include the degree symbol in you

jarptica [38.1K]

Answer: sec (75) or csc (15)

Step-by-step explanation:

255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.

Reference angle for 255 is,

255 - 180 = 75 degrees.

Therefore, sec (255) = sec (75)

= csc (90 - 75) = csc (15)

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3 years ago

Explain how to solve the equation <br><br> 9=q-4

castortr0y [4]

add them both then you get the awnser if the four is not a negative. if the four is a negative use division.

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3 years ago

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A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

3 years ago