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2 years ago

Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.

Mathematics

1 answer:

Naddika [18.5K]2 years ago

5 0

Answer: C) 104 cm^2

Area of right triangle: 1/2 x 6 x 8 =24

Area of rectangle: 8 x 10 = 80

Add both areas get = 104cm

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Find the exact length of the third side

Mumz [18]

Answer:

Step-by-step explanation:

We know that 13 is the hypotenuse. With this we can use the Pythagorean Theorem to solve this problem.

Let the third side be x.

13^2=12^2+x^2

169=144+x^2

169-144=x^2

25=x^2

x=5

Solved.

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2 years ago

The mixed number 3 2/3 comes between 3 and 4 on the number line.

givi [52]

Yes, it’s true, because it’s more than 3, but less than 4

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2 years ago

Vertical stretch by a factor of 3 and a reflection

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Vertical stretch by a factor of 3 and a reflection over x-axis is g(x)= -3|x|

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2 years ago

Pls answer this for me, this is the remainder theorem for grade 9 so help me.

professor190 [17]

Answer:

1. 3

2. 2

Step-by-step explanation:

| |

x | + | 1 | | x^2 | + | 4 x | - | 2

x^3 | + | 5 x^2 | + | 2 x | + | 1

x^3 | + | x^2 | | | |

| | 4 x^2 | + | 2 x | |

| | 4 x^2 | + | 4 x | |

| | | | -2 x | + | 1

| | | | -2 x | - | 2

| | | | | | 3

__________________________________________

| |

x | - | 5 | | x^2 | - | x | + | 0

x^3 | - | 6 x^2 | + | 5 x | + | 2

x^3 | - | 5 x^2 | | | |

| | -x^2 | + | 5 x | |

| | | | | | 2

| | | | | | 0

| | | | | | 2

5 0

3 years ago

Read 2 more answers

Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

5 0

3 years ago