Ask question

Ask question

All categories

2 years ago

6

A square with unknown side length x has one side extended by 3 inches and the other side extended by 4 inches as shown. The area

of the overall rectangle is 110 square inches. Write an equation that could be used to solve for x.

1 answer:

natulia [17]2 years ago

4 0

Answer:

(x + 3)(x + 4) = 110

or x² + 7x + 12 = 110

Step-by-step explanation:

You might be interested in

A 6 foot tall football player casts a 16 inch shadow at the same time stadium we discussed at six for shadow how tall the bleach

katrin [286]

You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.

6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player.

So the bleachers are 9/2 x 6 ft = 27 ft.

For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216.

So the stage will have dimensions 216 times larger than 1.75" by 3".

That would be 31ft 6ins x 54ft.

Live long and prosper.

5 0

2 years ago

Find the surface area of a cubical planter<br> measuring 30 inches on a side.

Snezhnost [94]

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

3 0

2 years ago

The quotient of a number, divided by 3, equals-8

melisa1 [442]

Answer:

x / 3 = -8

Step-by-step explanation:

5 0

2 years ago

It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu

slega [8]

$\bf \cfrac{10km}{55mins}\cdot \cfrac{0.621miles}{1km}\implies \cfrac{62.1miles}{55mins}\approx 1.12909909\approx \boxed{1.13\frac{miles}{mins}}$

5 0

3 years ago

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is

Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0

3 years ago