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CaHeK987 [17]
3 years ago
14

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the sa

me as the area of the largest square. Which three squares will support this statement?

Mathematics
2 answers:
lidiya [134]3 years ago
6 0

Answer:

J

Step-by-step explanation:

Area of a square = L x W

F:

(5 x 5) + (4 x 4) = 81

25 + 16 = 81

41 = 81  INCORRECT =( X

H:

64 + (5 x 5) = (13 x 13)

64 + 25 = 169

89 = 169 INCORRECT =( X

G:

(6 x 6) + (5 x 5) = (7 x 7)

36 + 25 = 49

61 = 49 INCORRECT =( X

J:

144 + (5 x 5) = 169

144 + 25 = 169

169 = 169  CORRECT =)

Pavel [41]3 years ago
5 0
I have no idea and I would like to inform you that I’m just not smart
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The locations in a city are mapped out on a grid, where the origin represents the city center. A traffic helicopter travels due
Elenna [48]

Answer:

Helicopter have traveled  5.55 units of distance approximately  if it went directly from one location to the other.

Step-by-step explanation:

We are given the following in the question:

A traffic helicopter travels due north and then due east to get to the location at (-3,4) to the location at (7,13).

The attached image shows the path of helicopter.

Distance Formula:

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

Distance traveled by helicopter =

d((-3,4),(-3,13)) + d((-3,13),(7,13))\\\\=\sqrt{(-3+3)^2 + (13-4)^2} + \sqrt{(7+3)^2 + (13-13)^2}\\= 9+10\\= 19 \text{ units}

If the helicopter goes directly:

d((-3,4),(7,13))\\\\=\sqrt{(7+3)^2+(13-4)^2}\\\approx 13.45 \text{ units}

Difference in distances =

19 - 13.45 = 5.55\text{ units}

Thus, helicopter have traveled  5.55 units of distance approximately  if it went directly from one location to the other.

7 0
4 years ago
Solve the following equation for X: 3+1/x
vladimir2022 [97]

Answer:

x=2

......

Step-by-step explanation:

x=3+1/x

x^2=4

x=2

6 0
3 years ago
Jane drives 80 miles in<br> 2 hours. How many miles<br> could she expect to drive<br> in 5 hours?
katrin2010 [14]

Answer:

200 miles I think

Step-by-step explanation:

80÷2=40

meaning 40 miles per hour, so 40×5=200

6 0
3 years ago
Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar
tino4ka555 [31]
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>


6 0
4 years ago
Which of the following expressions demonstrates the distributive property?
kogti [31]

Answer:

3(-8+1)=3(-8)+3(1)

Step-by-step explanation:

distributive property is the rule that an equation consiting of a number next to perentheces with no sign inbetween the 2 with 2 or more values in said perenthecees is solved by multiplying the outside number by each value in the ( ) individually, without changing the signs or symbols

8 0
4 years ago
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