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ivanzaharov [21]
3 years ago
10

Find the missing lengths of the sides

Mathematics
2 answers:
Ket [755]3 years ago
5 0

ANSWER

The correct answer is C

EXPLANATION

The given triangle is a right triangle. Since two angles are equal, it is a right isosceles triangle.

This implies that, x=8 units.

Using Pythagoras Theorem,

{y}^{2}  =  {8}^{2}  +  {8}^{2}

This implies that:

{y}^{2}  = 64  +  64

{y}^{2}  =128

Take positive square root,

{y}  =  \sqrt{128}

{y}  = 8 \sqrt{2}

The correct answer is C

Tpy6a [65]3 years ago
4 0

Answer:

Correct choice is C. x=8, y=8\sqrt{2}.

Step-by-step explanation:

Apply formula \sin\left(\theta\right)=\frac{opposite}{hypotenuse}

\sin\left(45^o\right)=\frac{8}{y}

\frac{1}{\sqrt{2}}=\frac{8}{y}

y=8\sqrt{2}

Apply formula \tan\left(\theta\right)=\frac{opposite}{adjacent}

\tan\left(45^o\right)=\frac{8}{x}

1=\frac{8}{x}

x=8

Hence correct choice is C. x=8, y=8\sqrt{2}.

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4/5 divided by -3/5 any answers because right now I’m really stuck
MatroZZZ [7]

Answer:

-1 1/3 as a mixed number (if they ask for it in simplest form, choose this one)

-4/3 as an improper fraction

Step-by-step explanation:

1. Keep, change, flip

4/5 x -5/3

2. Cross cancel the fives

4/1 x -1/3

3. Simplify

-4/3 or -1 1/3 (they're equivalent)

7 0
3 years ago
HELP ASAP PLEASE!!!!!
nataly862011 [7]

The answer is A. a=(-1) b=(7)

5 0
3 years ago
Read 2 more answers
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
Rzqust [24]

Answer:

8 cm and 9 cm

Step-by-step explanation:

This is the answer because:

1) The other two sides have to equal somethinng that is bigger than 13.

2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.

3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.

4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.

5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.

Hope this helps! :D

3 0
3 years ago
Read 2 more answers
since 1985, the population of a town has changed by a constant percentage each year, as shown in the graph.
VARVARA [1.3K]
C
Because the graph starts at 15000 at year 1985
4 0
3 years ago
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