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3 years ago

40 POINTS Worth

2 answers:

5 0

Is this a right triangle or not? If it's a right triangle, you could use the Pythagorean Theorem to find the length of the 3rd side, which would be the hypotenuse. Thus, 14^2 + 4^2 = c^2, where c is the length of the hypot.

Then 196 + 16 = 212, and this is c^2. Then c, the length of the hypotenuse, is sqrt 212, or approx. 14.6 inches.

This does not agree with any of the four possible answers. Thus, you must look at each of these possible answers and eliminate any that could not be correct.

for example: if you take 10 inches and add 4 inches, you get 14 inches. The result would not be a triangle, but rather a straight line.

Check out the others similarly.

GuDViN [60]3 years ago

5 0

Answer:

Step-by-step explanation:

right triangle, you could use the Pythagorean Theorem to find the length of the 3rd side, which would be the hypotenuse. Thus, 14^2 + 4^2 = c^2, where c is the length of the hypot.

Then 196 + 16 = 212, and this is c^2.

sry i got this from khan academy

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The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

3 years ago

Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

brainly.com/question/12917973

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5 0

1 year ago

A right triangle has:

Tom [10]

Answer:

An isosceles right triangle has 2 congruent sides.

7 0

3 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)

where, a is a constant (h,k) is vertex.

The given function is

$f(x)=x^2$

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

$g(x)=a(x-5)^2+2$

g(x) is passes through (3, 6).

$6=a(3-5)^2+2$ .... (2)

$6-2=4a$

$4=4a$

Divide both sides by 4.

$a=1$

Substitute a=1 in equation (2).

$g(x)=1(x-5)^2+2$

$g(x)=(x-5)^2+2$

The function g(x) is $g(x)=(x-5)^2+2$ .

Therefor, the correct option is 4.

3 0

2 years ago

Read 2 more answers

If the leading coefficient of a polynomial function is positive, the graph will go

Greeley [361]

Step-by-step explanation:

the leading coefficient means the coefficient (factor) of the term with the highest exponent of the variable (typically x).

with sufficiently large values of this variable (x - going far enough to the right) this term will "win" in value against any other term of the polynomial expression.

and therefore the sign of its factor (coefficient) will determine, if the curve will go up or down.

a positive factor (coefficient) will make the value of this term and therefore of the whole polynomial larger and larger, making the curve going up to +infinity.

a negative factor (coefficient) will make the value of this term and therefore of the whole polynomial smaller and smaller (more negative and more negative), making the curve going down to -infinity.

7 0

1 year ago