Help me answer the math​

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

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b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

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c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

Answer:

16.4722222222

Step-by-step explanation:

The quotient and remainder should be 16 and 17 respectively.

Given that,

The division result in the division operator is

Now the remainder should be

Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.

Learn more about the division here: brainly.com/question/21416852

9 miles is approximately equivalent to 5.6 miles.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.

∴ 9 kilometers is equivalent to (9/1.6) miles.

= 5.6 miles.

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Answer:

2.4 miles per second

Step-by-step explanation:

50 meters / 120 seconds = 2.4 mps

Answer:

150

Step-by-step explanation:

x/5=30

x=30*5

x=150

Hoped this helped!

Step-by-step explanation:

x/5 = 30

5 × x/5 = 5 × 30

x = 5 × 30

x = 150

Answer:

C

Step-by-step explanation:

Only C is a polynomial function.  It is recognizable as such by the positive, integer power x^4.  The others have negative powers, which eliminates them.

Answer:

n + (3n)+7 =

4n+7

And that is the answer

Step-by-step explanation:

Answer:

54x

Step-by-step explanation:

The equation y = 45 models the saving.

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

Given the graph of the equation.

Note that the graph passes through points (0,0) and (2,90).

The slope of the line is:

m = (90 - 0)/(2 - 0)

m = 45

The equation of the line with a slope of m = 45 and passes through (0,0) is:

y -0 = 45(x - 0)

y = 45x

Hence, the equation y = 45 models the saving.

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Answer:

15

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

10 to the 2nd power is 100

100 x 1.5=150

Answer:

X=42

Step-by-step explanation:

when the question says that ABCD ~ EFGH that's just saying that they are equal.

AB = 16   FE = 10   the first shape has sides that are 6 longer than the second shape.

next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).

i hope thought this out right for you, and hope that helps. :)

Answer:

6/24

Step-by-step explanation:

Answer:

15ab

Step-by-step explanation:

if the AB is capital on purpose then its 15a^2b over AB

Answer:

6 -5 -4 -3 -2 -1 0 1 2

Step-by-step explanation:

Answer:

(7i^17+42.628%*1037)(437^2-281i)^19

Step-by-step explanation:

Itll all make sense

M e e e e e ??

Hope you have a great day!

Answer:

m9 = 115

m4 =110

m10=65

m11= 70

m8= 70

m5 = 65

m3 = 70

m14 = 115

The answer should be 60 if im correct.

Answer:

X = -4 1/3 or -4.333 or -13/3

Step-by-step explanation:

2(x+5) = 5x+23

2x + 10 = 5x+23

2x-2x + 10 = 5x-2x +23

10 = 3x + 23

10-23 = 3x + 23-23

-13 = 3x

-13/3 = 3x/3

x = -4 1/3 or -4.3333

Answer:

X =[tex]-\frac{13}{3}[/tex] or -4.3 ( with a line above the 3)

Step-by-step explanation:

I showed how to do it in the image attached.

Hope this helps

Answer:

its D 162

Step-by-step explanation:

First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle

Answer:

3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00

Answer:

the answer is 42 i think

Step-by-step explanation:

Answer:

i think she right (42) but i dont kno wwww

Step-by-step explanation:

Answer:

Answer is C. not 95.

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

<AIN is equal to <FIL because they are vertically opposite.

Answer:

50 $20 bills equals $1,000

Step-by-step explanation:

1000 / 20=50

50 $20 bills equal $1000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here $1000 bill to find its $20 equivalent we divide the amount with 20 thus $20 equivalent of $1000 is  $1000/20=50

Hence, $1000 bill equivalent of $20 is 50

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Answer:

16%

Step-by-step explanation:

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

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Step-by-step explanation: