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Afina-wow [57]
3 years ago
9

What is the length of s?​

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

  • 0.70710678118 = \frac{12}{s}, and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

  • \frac{0.70710678118}{1} =\frac{12}{s}

Cross multiply.

  • 0.70710678118s = 12

Divide both sides by sine(45 degrees).

  • s = 16.97

The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

  • (12)^2 + (12)^2 = c^2

Evaluate the exponents.

  • 144 + 144 = c^2

Add them together.

  • 288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

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3
nikitadnepr [17]

Answer:

y = (1/4)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b.  Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).  

Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:

-5 = (1/4)(-8) + b, or

-5 = -2 + b, so b = -3, and the desired equation is

y = (1/4)x - 3

3 0
2 years ago
There are two rectangles Jared is examining. He knows the width of the first rectangle measures
egoroff_w [7]

1st rectangle:

width: 2.48cm

length: 4.96

2nd rectangle:

width: 4.96 (equals to the length of the 1st rectangle)

area: 9.92

length: 9.92/4.96 = 2

3 0
2 years ago
Is Figure A’B’C’D’ a translation of Figure ABCD? Explain. need help pls
drek231 [11]

Answer:

yes

Step-by-step explanation:

any shape that is duplicated to another area on a graph is a translation

8 0
2 years ago
Read 2 more answers
1.
Luba_88 [7]

Hey there!

a = 5 ; b = 2

Option A.

a + b

= 5 + 2

= 7

Option B.

a - b

= 5 - 2

= 3

Option C.

2a + 3b

= 2(5) + 3(2)

= 10 + 6

= 16

Option D.

5a - b

= 5(5) - 2

= 25 - 2

= 23

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

5 0
2 years ago
Cuál es la operación de 2/3mas6/9
adoni [48]

Answer:

Draw a 3-D of a terrain indicating different fault behaviors. Use the terrain below. Be sure that the entire terrain should cover at least three type of fault. Labcl the fault arcas and its part

8 0
2 years ago
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