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DedPeter [7]
2 years ago
8

Instructions: Find the missing side of the triangle. 25 20 х X =

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

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Find the measure of the indicated angle. Round to the nearest degree.
slava [35]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

5)

Adj = 14

Hyp = 26

∠X

so use

CAH

Cos(X) = 14/26

X = arcCos(14/26)

X = 57.421°

X = 57.4 ° ( rounded to nearest 10th )

6)

∠X

Hyp = 46

Opp = 12

use SOH

Sin(x) = 12/46

X = arcSin(12/46)

X = 15.121°

X = 15.1 ° ( rounded to nearest 10th )

7)

∠X

Adj = 29

Opp = 24

use TOA

Tan(x) = 29 / 24

X = arcTan( 29 /24)

X = 50.389

X = 50.4 °  ( rounded to nearest 10th )

8)

∠X

Adj = 22

Opp = 6

use TOA agian

Tan(x) = 6 / 22

X = arcTan(6/22)

X = 5.194

X = 5.2 °  ( rounded to the nearest 10th )

:)

8 0
3 years ago
Simplify the following expression.
Jobisdone [24]

An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given exponential expression can be simplified as shown below.

(4^{\frac14})^{\frac12}

Using the exponential property (mᵇ)ˣ = mᵇˣ,

= 4^{\frac14 \times \frac12}

= 4^{\frac18}

Hence, the given exponential expression when simplified will result in 4^(1/8).

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

8 0
1 year ago
Read 2 more answers
Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,
Ugo [173]
<span>A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.</span>
5 0
3 years ago
Read 2 more answers
Noah’s dog weighs 15 1⁄3 pounds (lbs). Aiden’s dog weighs three times as much as Noah’s. How many pounds does Aiden’s dog weigh?
SpyIntel [72]
<h3>Answer:  46 pounds</h3>

===============================================

Work Shown:

N = weight of Noah's dog = 15 & 1/3 pounds

A = weight of Aiden's dog = unknown

A = 3*N

A = 3*(15 & 1/3)

A = 3*(15 + 1/3)

A = 3*15 + 3*(1/3) .... distribute

A = 45 + 1

A = 46

Aiden's dog weighs 46 pounds.

4 0
3 years ago
Am I correct?? If not please correct me
pickupchik [31]
The answer would actually be A
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!
3 0
3 years ago
Read 2 more answers
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