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3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

x = 14.25

Step-by-step explanation:

Start with a^2 + b^2 = c^2

a = 11

b = x

c = 18

plug in and solve

11^2 + x^2 = 18^2

121 + x^2 = 324 - Simplify

x^2 = 203 - subtract 121 from both sides

x = 14.247 rounds to 14.25 - square root on both sides

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Evaluate 5-\dfrac{t}35−

solmaris [256]

Answer:

31.438

Step-by-step explanation:

yan ppo ang tama sagot

7 0

3 years ago

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Find The art length of a sector with an area of 8 square units.

frez [133]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\$

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}$

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.

6 0

3 years ago

You budget 8% of your take-home pay for transportation costs. If your monthly

liubo4ka [24]

Answer:

Step-by-step explanation:

1200 × 8% or 0.08 = 96

so 96

8 0

2 years ago

What is 5x + 12 < 2 ?

Masja [62]

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10
[Division Property of Equality] Divide 5 on both sides: x < -2

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2 years ago

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A baseball team played 177 complete games last season. They had 33 fewer wins than losses. How many games did the team win

NISA [10]

72 I believe because you have to subtract the 33 from the number of total games & then divide by two because you already took out the 33 more loses than wins.

3 0

2 years ago