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lapo4ka [179]
3 years ago
7

If a rectangle measures 12 meters by 16 meters, what is the length, in meters, of the diagonal of the rectangle?

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

20 meters

Step-by-step explanation:

use the Pythagorean theorem:

a^2+b^2=c^2\\\\12^2 + 16^2 = c^2\\\\144 + 256 = c^2\\\\c^2 = 400\\\\c = 20

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In AHIJ, the measure of ZJ=90°, IJ = 5 feet, and JH = 3.2 feet. Find the measure of
Dominik [7]

Answer:

32.6

Step-by-step explanation:

opp/adj = 3.2/5

I= tan -1(3.2/5)

I =32.6192

=32.6

3 0
3 years ago
Find the equation of the line that is parallel to the given line and passes through the given point. y=0,5x-2;(-2,1)
Mashcka [7]

Answer:

y = 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 0.5x - 2 ← is in slope- intercept form

with slope m = 0.5

Parallel lines have equal slopes, thus

y = 0.5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

- 1 = - 1 + c ⇒ - 1 + 1 = 0

y = 0.5x + 0 , that is

y = 0.5x ← equation of parallel line

3 0
3 years ago
Solve the equation by clearing the decimals: 0.8x -0.3 = 0.7x + 0.2
Mashutka [201]

Answer:

x = 5

Step-by-step explanation:

0.8x - 0.3 - 0.7x = 0.2

0.8x - 0.7x = 0.2 + 0.3

0.1x = 0.2 + 0.3

0.1x = 0.5

5 0
3 years ago
For a bake sale, Jeremy is selling cookies for $3.00 a dozen (25 cents for each single cookie). If Jeremy makes $25.75 during th
GREYUIT [131]

Answer:

103

Step-by-step explanation:

25.75 \div 0.25  = 103

3 0
3 years ago
Read 2 more answers
How many solutions are there to the equation below?<br> 8x + 47 = 8(x + 5)
qaws [65]

Answer:

there are 0 solutions to the equation

Step-by-step explanation:

To know how many solutions are in the problem, we have to solve for x and see what result we have left. According to the result, we will know how many solutions there are

8x + 47 = 8(x + 5)

8x + 47 = 8*x + 8*5

8x + 47 = 8x + 40

8x - 8x = 40 - 47

0 = -7

As we can see we are left with an equality that is not fulfilled, this means that there is no solution to the problem, at least in the field of real numbers

4 0
3 years ago
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