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Maksim231197 [3]
3 years ago
14

What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex

q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2. 5 square units 6 square units 10 square units 12 square units?
Mathematics
2 answers:
aivan3 [116]3 years ago
7 0

Answer:

12

Step-by-step explanation:

horsena [70]3 years ago
6 0

P(7,6), Q(1,6), R(4,2)

We have PQ parallel to the x axis. We'll call that the base,

b = 7 - 1 = 6

The altitude is then the y difference h = 6 - 2 = 4

The area is \frac 1 2 bh = \frac 1 2 (6)(4) = 12

Answer: 12 square units


In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12


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The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.
viva [34]

Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

750/37.50=0.05

5 percent.

4 0
3 years ago
Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch
astraxan [27]

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

8 0
3 years ago
A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball
Snowcat [4.5K]

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

7 0
3 years ago
A rectangular pool contains 920 cubic meters of water. the pool is .4 meter deep and 100 meters wide. How long is the pool?
LekaFEV [45]
Hi there,

Sol:
Length of the swimming pool = 260 m
Breadth of the swimming pool = 140 m

Let the height of the water in the swimming pool after pouring water be h meters.

Volume of the water poured = 54600 m3

l x b x h = 54600
260 x 140 x h = 54600
h = (54600) / (260 x 140)
h = 1.5 m = 150 cm

Hope it helps
5 0
2 years ago
What is the answer to -4.2×+31.5=-65.1
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Answer:

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Step-by-step explanation:

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