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fenix001 [56]
3 years ago
7

Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

\frac{21}{2} units²

Step-by-step explanation:

D and E lie on the x- axis and F is vertically below D

The triangle formed is right at D with legs of length 3 and 7

The area (A) of a right triangle is found using the formula

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

here b = 3 and h = 7, hence

A = \frac{1}{2} × 3 × 7 = \frac{21}{2} units ²

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Tema [17]

there are a total of 32 students that don't like sandwiches

6 that don't like pie

 so 6/32 = 0.1875 = 18.75% round to 18.8%

 Answer is D

3 0
3 years ago
What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma
Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

                                                = 20

Probability of getting a blue marble in first draw is

P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}

P(Blue)=\dfrac{8}{20}

P(Blue)=\dfrac{2}{5}

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}

P(red)=\dfrac{4}{20}

P(red)=\dfrac{1}{5}

Now, the probability of getting a blue marble then a red marble is

P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}

P(blue,red)=\dfrac{2}{25}

Therefore, the required probability P(blue, red) is \dfrac{2}{25}.

5 0
3 years ago
Exactly 9 years ago, Jeri opened a bank account that earned 2% interest each year. If the account now has $215.12, how much did
MAVERICK [17]
B is the corect aswer
4 0
2 years ago
Hhellp pwease I want to know what's wrong and right
Studentka2010 [4]

Answer:

A: False

B: False

C: True

D: True

E: False

F: True

G: True

H: True

Step-by-step explanation:

A: 9(x - 2) = 9x + 2

9x - 18 = 9x + 2 FALSE

B: 65 - y = y - 65

(equation rearranged) -y + 65 = y - 65 FALSE

C: g (times) h = h (times) g     (TRUE due to the commutative property of multiplication)

D: a (times) 0 = 0      (TRUE because anything times 0 equals 0)

E: (4 (times) 2) - r = 4 (2 (times) r)

8 - r =  8 - 4r FALSE

F: k + 0 = k TRUE

G: (a + x) + y = a + (x + y)

a + x + y = a + x + y TRUE

H: 5(2x - 9) = 10x - 45

10x - 45 = 10x - 45 TRUE

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2 years ago
18. The sum of 'l6, /3, and 'Is is
lys-0071 [83]

Answer:

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Step-by-step explanation:

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3 years ago
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