MATHEMATICS HIGH SCHOOL

Can someone help with this plz

Answers

Answer 1

Answer:

Answer:

49°

Step-by-step explanation:

I hope it helps

Answer 2

Answer: 49° i hope this helped lol

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Give me 3 examples of a ratio
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Solve the following three variable system. 2x + 3y + 4z = 9-x + 2y - z = 0-2x + 4y + z = 3

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Answers

We will use the Pythagorean theorem to determine the height: $h^(2)=15^(2) - 3.5^(2)$ $h^(2) =225 - 12.25=212.75$ Finally: $h= √(212.75)=14.5859$
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Answer: it's 14.6 feet

A submarine submerged at a depth of −40 feet dives 57 feet more. What is the new depth of the submarine?

Answers

Answer:

-97 feet

Step-by-step explanation:

-40+-57=-97

Can you show us how to find the discriminant of the quadratic x^2 + 2x -2 =0

Answers

Step #1:
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].

Yours is already in that form.
A = 1
B = 2
C = -2

Step #2:
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.

-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.

-- If the discriminant is greater than zero, the the roots are real and not equal.

-- If the discriminant is less than zero, then the roots are complex numbers.

The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12

Your equation has two real, unequal roots.

$the\ discriminant\ of\ the\ quadratic\ ax^2+bx+c=0\n\n\Delta=b^2-4\cdot a\cdot c\n-------------------------\n\n x^2 + 2x -2 =0\n\n\Delta=2^2-4\cdot1\cdot(-2)=4+8=12\n\ndiscriminant=12$

If y is the principal square root of 5 what must be true?

Answers

Since every square root has a positive and a negative solution, for example:

$√(9)$ = -3 or +3

The principal square root defines only the positive solution (between the two);

Therefore: if y is the principal square root of 5, then it must be the positive square root of 5, not the negative square root of 5.

As x → −[infinity], y → ? As x → [infinity], y → ? Determine the end behavior for y = 8x^4 Determine the end behavior for y = -49 + 5x^4 + 3x Determine the end behavior for y = -x^5 + 5x^4 + 5

Answers

Problem 1

The end behavior of y = 8x^4 is:

$\text{As x} \to -\infty, \text{ y } \to \infty\n\text{As x} \to \infty, \text{ y } \to \infty$

In either case, y approaches positive infinity. This end behavior is the same as a parabola that opens upward. This applies to any even degree polynomial.

Informally we can describe the end behavior as: "Both endpoints rise up forever".

======================================

Problem 2

The end behavior of y = -49 + 5x^4 + 3x is the exact same as problem 1. Why? Because the degree here is 4. The degree is the largest exponent.

======================================

Problem 3

For this problem we have the polynomial y = -x^5 + 5x^4 + 5

This time the degree is 5, which is an odd number.

The end behavior would be

$\text{As x} \to -\infty, \text{ y } \to \infty\n\text{As x} \to \infty, \text{ y } \to -\infty$

Informally, we can state the end behavior as "Rises to the left, falls to the right".

The endpoints go in opposite directions whenever the degree of the polynomial is odd. Think of a cubic graph. The "falls to the right" is due to the negative leading coefficient.

I strongly recommend using a TI83, TI84, Desmos, or GeoGebra to graph out each polynomial so you can see what the end behavior is doing.

HELP PLEASE!!The cross sections shown above are from a rectangular prism.

Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.

Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.

Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.

The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.

Answers

The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

What is the area of a rectangle?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Based on the given information, we can determine the dimensions of the rectangular prism as follows:

Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

90 = length x width

Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:

50 = height x width

Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

45 = length x height

We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:

90 = length x width

50 = height x width

45 = length x height

Solving for width in the first equation gives us:

width = 90 / length

Substituting this into the second equation gives us:

50 = height x (90 / length)

Solving for height gives us:

height = 50 x (length / 90) = (5/9) length

Substituting this into the third equation gives us:

45 = length x (5/9) length = (5/9) length²

Solving for length gives us:

length² = (9/5) x 45 = 81

length = √(81) = 9

Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

To learn more about the area of a rectangle visit:

brainly.com/question/25292087

#SPJ1

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