All categories

3 years ago

Find the area of the composite figure 12 yd height 10 yd base

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

You might be interested in

Your friend has built the skate board ramp shown in the figure with sides of 16 in., 63 in., and 65 in. that he claims has dispr

nexus9112 [7]

The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.

5 0

3 years ago

This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

Which expressions are equivalent to the one below? Check all that apply.

Paraphin [41]

Answer:

log (1/3)

Step-by-step explanation:

$log \: 2 - log \: 6 \\ \\ = log \frac{2}{6} \\ \\ = log \frac{1}{3}$

5 0

2 years ago

Let x=number of cds and y=number of dvds

Elis [28]

X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0

3 years ago

The top of a round table is 4 feet in diameter. The top splits to allow two extra boards to be inserted. The expansion boards ar

Nutka1998 [239]

The answer will be 6

8 0

3 years ago

Find the area of the composite figure 12 yd height 10 yd base​

Find the area of the composite figure 12 yd height 10 yd base