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3 years ago

Can you please figure this out for me? ASAP! 20 points!

Mathematics

1 answer:

Oksana_A [137]3 years ago

7 0

For the given triangle, x = 51°.

Step-by-step explanation:

Step 1:

In the given triangle, the angle is x°. The opposite side has a length of 7 units while the hypotenuse of the triangle measures 9 units. To calculate the value of x, we determine the sin of angle x where we divide the length of the opposite side by the length of the hypotenuse.

sin x° $= \frac{oppositeside}{hypotenuse}$

Step 2:

The length of the opposite side = 7 units.

The length of the hypotenuse = 9 units.

$sinx = \frac{7}{9} , x = sin^{-1} (\frac{7}{9}) = sin^{-1} (0.777).$

$x = 50.986.$

So x° = 50.986°, rounding this off to the nearest degree we get x = 51°.

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How do i solve using the substitution method? x+y=-1 y=-2x

leonid [27]

Answer:

$(1, -2)$

Step-by-step explanation:

Step 1: Set the second equation into the first

$x + (-2x) = -1$

$x - 2x = -1$

$-x / -1 = -1 / -1$

$x = 1$

Step 2: Solve the second equation

$y = -2(1)$

$y = -2$

Answer: $(1, -2)$

4 0

3 years ago

Read 2 more answers

How do I simplify the following to "a+bi" form: (1+2i)^3

damaskus [11]

Answer:

Expand it.

(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).

Multiply everything out (being sure to multiply every term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.

i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:

1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):

(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.

Simplify again, and the answer is: -11-2i

Step-by-step explanation:

I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.

7 0

2 years ago

I have a square piece of paper.

jarptica [38.1K]

Answer:

a) 30 cm

b) 20 cm

Step-by-step explanation:

Rectangle B's perimeter is 10+10+5+5 which is 30

Square C's perimeter is 5+5+5+5 which is 20

4 0

3 years ago

A. 4.5 B. 10 C. 5 D. None of the above ??

prohojiy [21]

Set up a ratio:

12/24 = x/9

Cross multiply:

24x = 108

Divide both sides by 24:

X = 4.5

The answer is 4.5

8 0

4 years ago

the sum of the digits of two digit number is 10. when 18 is added to the number is digit reversed find and number

Contact [7]

Answer:

The number is 46

Step-by-step explanation:

Equations

Suppose:

a = One digit of the number

b = Tens digit of the number

The sum of the digits is 10:

a + b = 10

The number expressed as two-digits quantity is ab, and its value is

10a+b

When we add 18 to that number, we have:

10a+b+18

And that is represented as the number reversed:

10a+b+18=10b+a

Simplifying:

9a+18=9b

Dividing by 9:

a + 2 = b

Substituting in the first equation:

a + a + 2 = 10

2a = 8

a = 4

b = a + 2 = 6

Thus the number is 46

4 0

3 years ago