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bogdanovich [222]
3 years ago
9

What is the length of the diagonal of the triangle?

Mathematics
1 answer:
Setler79 [48]3 years ago
7 0

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

You might be interested in
Which graph does not represent a function
ohaa [14]

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

7 0
2 years ago
The industrial process that is used to convert a fuel to gasoline is carried out at a temperature range of 660 degrees°F to 790
NARA [144]

Answer:

|F-725|

With F represent the variable of interest:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

Step-by-step explanation:

For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.

We can find the midpoint of this interval like this:

Midpoint= \frac{660+790}{2}= 725

And the difference between the midpoint and the limits are:

|790-725|= 65

|680-725|= 65

So then we can create the following inequality:

|F-725|

With F represent the variable of interest.:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

5 0
3 years ago
Solve for the missing side round to the nearest 10th (look at image)
SIZIF [17.4K]

Answer:

14.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2   where a and b are the legs and c is the hypotenuse

14^2 + 3^2 = c^2

196 + 9 = c^2

205 = c^2

Take the square root of each side

sqrt(205) = sqrt(c^2)

14.31782106 = c

Rounding to the nearest tenth

14.3 = c

3 0
2 years ago
Read 2 more answers
I need the answer ASAP please
lara [203]

a \leq 7

because 4a + 7 - 7 \leq 35 - 7

equals 4a \leq 28

and 4a/4 \leq 28/4

equals a \leq 7

5 0
3 years ago
Read 2 more answers
Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

4^2 + x^2 = 6^2

16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

8 0
2 years ago
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