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3 years ago

10

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths

of the third side of the triangle? Round your answer to the nearest tenth.
2.4 inches
3.2 inches
10.0 inches
15.7 inches

1 answer:

svp [43]3 years ago

3 0

Answer:

a.) 10.0

Step-by-step explanation:

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The coordinate plane below represents a city.

alex41 [277]

Answer:

Part A) The system of inequalities is

$x\geq2$ and $y\geq2$

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Verify point C

C(2,2)

<em>Inequality A</em>

$x\geq2$ -----> $2\geq2$ ----> is true

<em>Inequality B</em>

$y\geq2$ ------> $2\geq2$ ----> is true

therefore

Point C is a solution of the system of inequalities

Verify point D

F(3,4)

Inequality A

$x\geq2$ -----> $3\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $4\geq2$ ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

$y < -2x+2$

The solution of the inequality is the shaded area below the dotted line $y=-2x+2$

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

6 0

4 years ago

the perimeter of a parallelogram is 64 meters .The width of the parallelogram is 8 meters less than its length .Find the length

WITCHER [35]

Answer:

The length of the parallelogram is 18 meters

The width of the parallelogram is 16 meters

Step-by-step explanation:

The perimeter of a parallelogram is 68 meters

LEt x be the length of the parallelogram

Width is 2 meters less than its length

Width =x-2

Perimeter of parallelogram = 2(length + width)

Perimeter of parallelogram =

=

Add 2 on both sides

Divide by 4 on both sides

x=18

The length of the parallelogram is 18 meters

The width of the parallelogram is 18-2= 16 meters

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3 years ago

Please I need help

vitfil [10]

Answer:

10

Step-by-step explanation:

From R(-2,4) to S(3,4) is 5 units to the right. Then S(3,4) to T(3, −1) is 5 units down.

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3 years ago

3 thousands divided by 10

aleksandrvk [35]

3 thousands devided by 10= 3 hundreds= (300)

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4 years ago

Read 2 more answers

Evaluate the expression when =c3 and =x−2 . −c4x

andrezito [222]

-c $4^{x}$
-3* $4^{-2}$
=-3 $\frac{-3}{ 4^{2} }$
= $\frac{-3}{16}$

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4 years ago