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3 years ago

Find the value of x. Round your answer to the nearest tenth

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

6 0

Answer:

x = 44.04422145

Step-by-step explanation:

180-(54+90)=36

$\frac{sin(54)}{x} = \frac{sin(36)}{32}$

x = 44.04422145

cestrela7 [59]3 years ago

5 0

Answer:

x=42.2

Step-by-step explanation:

take 54 degree as reference angle

using tan rule

tan 54 = opposite/adjacent

1.37=x/32

1.37*32=x

42.24=x

x=42.2

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1/2z +5=11 how to solve it plese??!

solong [7]

$\frac{z}{2} + 5 = 11 \ / \ simplify \\ \\ \frac{z}{2} = 11 - 5 \ / \ subtract \ 5 \ from \ each \ side \\ \\ \frac{z}{2} = 6 \ / \ simplify \\ \\ x = 6 \times 2 \ / \ multiply \ each \ side \ by \ 2 \\ \\ z = 12 \ / \ simplify \\ \\$

So, your answer to this problem is z = 12.

5 0

3 years ago

Read 2 more answers

PLEASE HELP AND BE CORRECT

Sergio [31]

(b⁷/4⁵)⁻³

= (4⁵/b⁷)³

= 4¹⁵/b²¹

Therefore answer is option b

Must click thanks and mark brainliest

3 0

3 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

4 0

2 years ago

Which equation represents the line that has a slope of 1/2 and

scoray [572]

Answer:

Solution given:

slope(m)=½

passing through point (x',y')=(0,3)

now

equation of a line is:

y-y'=m(x-x')

y-3=½(x-0)

y=½x+3

D.y=½x+3 is a required equation of a line.

6 0

3 years ago

I need help on this Question.!

OLga [1]

Answer:

see below

Step-by-step explanation:

m/n = 1/7

Using cross products

7m = n

This is a direct proportion

7 0

3 years ago