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3 years ago

Need help with trig!

Mathematics

1 answer:

dedylja [7]3 years ago

5 0

Answer:

1. A. $4.42$

2. F. $20.9$

3. G. $4.57$

4. A. $4.50$

Step-by-step explanation:

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

4 years ago

Is 3 squared times 4 squared equal 12 squared ? Evaluate each side of the equation to explain your answer.

Nikolay [14]

Answer:

Nopes 3²+4²≠12²

Step-by-step explanation:

12²=144

3²+4²=

9+16=25

25≠144

To make it easier to see exactly WHY 3²+4²≠12² you can spread out the numbers in the equation.

(3·3)+(4·4)≠(12·12)

When solving equations you use PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction). You have to solve in THAT ORDER.

7 0

3 years ago

Read 2 more answers

Please check my answer I got 14/16 20 points

ella [17]

Answer:

$\frac{49}{64}$

Step-by-step explanation:

$\frac{7}{8}$ * $\frac{7}{8}$ = $\frac{7*7}{8*8}$ = $\frac{49}{64}$

5 0

3 years ago

Read 2 more answers

Re-write the quadratic function below in Standard Form y = -(x – 3)2 +8

lisov135 [29]

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

Algebra I

Standard Form: ax² + bx + c = 0
Expanding by FOIL (First Inside Outside Last)
Combining like terms

Step-by-step explanation:

Step 1: Define equation

y = -(x - 3)² + 8

Step 2: Rewrite

Expand [FOIL]: y = -(x² - 6x + 9) + 8
Distribute -1: y = -x² + 6x - 9 + 8
Combine like terms: y = -x² + 6x - 1

4 0

3 years ago

A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale pric

vlabodo [156]

Answer: Tom will pay $20.01 lesser than the original price.

Step-by-step explanation:

The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.

The new price is 137.99 - 13.799 = $124.191

Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be

124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98

The difference between the original price and the price that Tom will pay is

137.99 - 117.98 = $20.01

7 0

3 years ago