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Nady [450]
3 years ago
10

Does anyone know about this

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

11.0

Step-by-step explanation:

Using Pythagoras' identity in the lower right triangle.

let the hypotenuse be x , then

x² = 4² + 9² = 16 + 81 = 97

Within the rectangle, use Pythagoras' identity in the lower right triangle.

let y be the dotted line , then

y² = x² + 5² = 97 + 25 = 122 ( take the square root of both sides )

y = \sqrt{122} ≈ 11.0 ( to the nearest tenth )

The dotted line is approximately 11.0 units

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The measure of angle 3 is 42°. What is the measure of angle 1 in degrees?
netineya [11]

Answer:

measure of angle 1

= 180° - 90° - 42°

= 48°

7 0
3 years ago
If a + b = 5 and 3a + 2b = 20, then what is 3a + b equal to?
Vesnalui [34]

Answer:

17.5

Step-by-step explanation:

3a = 15

a =5 .

3 x 5 = 15

2b = 5

15 + 5 = 20

----------------------------

b = 2.5

2.5 ( B ) + 15 ( 3a ) = 17.5

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3 years ago
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Zarrin [17]
The correct answer is: 8.8 x 10^15
7 0
3 years ago
Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N
prisoha [69]

Answer:

The solution to this system of equations is:

  • B = 28
  • T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

\text{tarantulas + butterflies} = 47

We are also told that T is tarantulas and B is butterflies.

T + B = 47

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

6B + 8T = 320

Now, we can set up a system of equation.

\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.

Using the first equation, we can solve for B.

\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T

Then, we can substitute this value of B into the second equation and solve for T.

\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19

Finally, we can substitute this value of T into the first equation to solve for B.

B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28

Therefore, the solution to this system of equations is:

  • B = 28
  • T = 19
7 0
3 years ago
HIII PLEASE HELP LOL IM TRYING HARD
Kisachek [45]

Answer:

(4,6)

is the missing pair.

Step-by-step explanation:

4 0
3 years ago
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