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3 years ago

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Combine the following expressions.

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1 answer:

Sedbober [7]3 years ago

5 0

I hope this helps you

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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.

PolarNik [594]

Answer:

$A = 43.0^o$

$B = 55.0^o$

$BC = 20.0$

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

$\angle C =82^o$

$AB = 29$

$AC = 24$

Required

Solve the triangle

First, we calculate $\angle B$ using sine law:

$\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}$

$\frac{24}{\sin(B)} = \frac{29}{0.9903}$

Cross multiply

$\sin(B) * 29 = 24 * 0.9903$

$\sin(B) * 29 = 23.7672$

Divide both sides by 29

$\sin(B) = 0.8196$

Take arcsin of both sides

$B = \sin^{-1}(0.8196)$

$B = 55.0^o$

Next, calculate $\angle A$ using:

$A + B + C = 180^o$ --- angles in a triangle

$A + 55^o + 82^o = 180^o$

Collect like terms

$A = 180^o-55.0^o - 82^o$

$A = 43.0^o$

Next, calculate BC using sine laws

$\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}$

$\frac{BC}{0.6820} = \frac{29}{0.9903}$

Make BC the subject

$BC = \frac{29*0.6820}{0.9903}$

$BC = 20.0$

6 0

2 years ago

Solve each exponential equation. round your answer to two decimal places.

notka56 [123]

4a.4²x +3=1

Slotuion:

4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

$\frac{16 \times }{16} = [tex] \frac{ - 2}{16}$

[/tex]

Simplitfy

$\frac{16 \times }{16} : x$

Simplify

$\frac{ - 2}{16}: -⅛$

<em>x</em> = -⅛

therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

$\large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}$

7 0

2 years ago

Read 2 more answers

100x+300y=1.200<br> (2/3x+10)/100=(y+20)/300

AlexFokin [52]

Answer:

x= -4.284 and y= 1.432

Step-by-step explanation:

5 0

3 years ago

A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t

Darina [25.2K]

Solution: We are given:

$\mu=0.33, \sigma =0.7$

Let $x$ be the weight (oz) of laptop

We have to find $P(x>32)$

To find the this probability, we need to find the z score value.

The z score is given below:

$z=\frac{x-\mu}{\sigma}$

$=\frac{32-33}{0.7}$

$=-1.43$

Now, we have to find $P(z>-1.43)$

Using the standard normal table, we have:

$P(z>-1.43)=0.9236$

0.9236 or 92.36% of laptops are overweight

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2 years ago

Semenov [28]

Answer:

1. 2/4 = 1/2

2. 9/24= 3/8

3. 56/64= 7/8

Step-by-step explanation:

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3 years ago