All categories

2 years ago

The students in a furniture making class make a tabletop shaped like the figure shown.

Mathematics

1 answer:

Rama09 [41]2 years ago

5 0

Answer:

The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.

Area of the rectangle = 5 x 6 = 30 square feets.

Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet

Area of the given figure = 30 - 4 = 26 square feet.

Area of a triangle = 1/2 x base x height

i.e. 1/2 bh = 26

bh = 26 x 2 = 52

possible values of base and height = (1 and 52), (2 and 26), (4 and 13)

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

You might be interested in

In triangle ABC angle A= 25, angle C= 55 and angle AB=60 . What are the approximate measures of the remaining side lengths of th

san4es73 [151]

The answer is A.

"BC=31, AC=72"

4 0

3 years ago

7). Kevin and his 8 friends made $1080 mowing lawns this summer. How. much money will each person get if they divide the money e

DIA [1.3K]

Answer:

120

Step-by-step explanation:

Divide 1,080 by 9.

6 0

3 years ago

Solve each absolute value in number line. 11. 2x - +3>4

loris [4]

Answer:

$x>\frac{7}{2}$

Step-by-step explanation:

2x - 3 > 4

Add 3 to both sides.

2x - 3 + 3 > 4 + 3

Simplify.

2x > 7

Divide both sides by 2.

$\frac{2x}{2} >\frac{7}{2}$

Simplify.

$x>\frac{7}{2}$

6 0

3 years ago

Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4. You have 2 attempts left to earn the full credit

My name is Ann [436]

Answer:

Area of the bounded region = 4 sq units

Step-by-step explanation:

The region bounded by y-axis,x-axis and the given line is in the shape of a right-angled triangle which is right-angled at origin.

Hence :

Area of the bounded region = Area of the right-triangle formed

= $\frac{1}{2}\times base\times height$

Base length of the Δ = x-intercept of the line

Height of the Δ = y-intercept of the line.

x-intercept is obtained by putting y=0 in the equation y=-2x+4

∴x-intercept = 2

y-intercept is obtained by putting x=0 in the equation y=-2x+4

∴y-intercept = 4

Area of the right-triangle = $\frac{1}{2}\times x-intercept\times y-intercept = \frac{1}{2}\times2\times4=4\ sq\ units$

6 0

3 years ago

A reservoir with the shape of a rectangular prism holds 300 cu.m. of water and has a depth of 8 meters at its full capacity. Wha

Ksenya-84 [330]

Answer:

112.5 cubic meters

Step-by-step explanation:

Since area is same and depth only changes, we can find the ratio and multiply the volume by that.

depth of 8 meters is full (volume at 300 cubic meters), so when depth is 3 meters, the volume would be $\frac{3}{8}$ of 300, so:

$\frac{3}{8}*300=112.5$ cubic meters

8 0

3 years ago