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3 years ago

Find the area of a rectangle with a base of 3 yards and a height of 4/7 yards.

2 answers:

7 0

Area of rectangle = length x width
in this case we multiply the base and height
3 x 4/7
= 3/1 x 4/7
= 12/7
mixed fraction = 1 5/7

Vitek1552 [10]3 years ago

6 0

Answer:

Area=12/7square yard

Step-by-step explanation:

Area=base x height

Area=3x4/7=12/7 square yard

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What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (1,0) (5,0) (3,4). So

$A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|$

$A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)$

$A = \pm 0.5*(20-4)$

$A = \pm 0.5*16 = 8$

The area of the triangle is of 8 units of area.

3 0

3 years ago

There are 25 black cars, 15 blue cars, 21 red cars and 30 white cars what is the probability of getting a red car

Snezhnost [94]

There are 91 in total. Since there are 21 red cars, it would give you 21/91. Around a 23.07% chance.

7 0

2 years ago

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Drag numbers to use a negative factor to factor the expression –5g + 15h – 25. Numbers may be used once, more than once, or not

Gala2k [10]

Answer:

(5g –15h +25)

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3 years ago

Find the volume of a pyramid with a square base, where the area of the base is

never [62]

Answer:

$V=60.28\ cm^3$

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

$V=\dfrac{1}{3}Bh$

Put all the values,

$V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3$

So, the volume of the pyramid is equal to $60.28\ cm^3$ .

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3 years ago

The graph of the equation x=y2+4is symmetric with respect to which of the following

lyudmila [28]

Answer:

The x-axis

Step-by-step explanation:

The graph of the equation x=y2+4 is symmetric with respect to the x-axis.

To test for symmetry with respect to the x-axis we substitute -y in place of y and simplify the equation. If the resulting equation is identical to original one then the function is symmetric with respect to the x-axis;

$x=y^{2} +4\\x=(-y)^{2} +4\\x=y^{2} +4$

which is identical to the original equation

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3 years ago

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