All categories

2 years ago

Vance wants to determine if an old photo frame is still rectangular. The height of the frame is

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

Answer:

<em>The old photo frame is still rectangular</em>

Step-by-step explanation:

<u>Rectangles</u>

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

$d^2=a^2+b^2$

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

$10^2=6^2+8^2$

$100=36+64$

$100=100$

Since the condition is met, the old photo frame is still rectangular

You might be interested in

Alice wants to fence in a rectangular pay area for her rabbits. The length of the area should be at least 20ft, and the distance

dlinn [17]

This looks like common core which is never straight forward.It seems as though they are asking for the perimeter and not area,since they used feet for the distance around instead of sq.ft.

6 0

2 years ago

What equation in slope intercept form represents the line that passes through the points (4,6) and (8,0)

madam [21]

Answer:

The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$

Step-by-step explanation:

Given as :

The points are (4,6) and (8,0)

( $x_1$ , $y_1$ ) = (4,6)

( $x_2$ , $y_2$ ) = (8,0)

Let The slope that formed = m

So,

slope = m = $\dfrac{y_2 - y_1}{x_2 - x_1}$

m = $\dfrac{0 - 6}{8 - 4}$

Or, m = $\dfrac{6}{4}$

∴ m = $\dfrac{3}{2}$

So, The slope formed using points = m = $\dfrac{3}{2}$

Hence , The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$ Answer

6 0

2 years ago

Jerry goes to a theme park to ride the roller coasters. The theme park charges an entry fee in addition to a fee for each roller

ratelena [41]

You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15

The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.

7 0

2 years ago

The volume v of a gas kept at constant temperature varies inversely with the pressure p. If the pressure is 24 pounds per square

daser333 [38]

Answer:

$V=12\ ft^{3}$