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3 years ago

14

Use triangle ABC to write the value of tanA

1 answer:

11111nata11111 [884]3 years ago

4 0

Answer: 28/45

Step-by-step explanation:

tan is $\frac{opposite}{adjacent}$ .

In this case, tanA = $\frac{28}{45}$

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?

Bumek [7]

<h2><u>Given </u><u>:</u><u>-</u></h2>

<u> $\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8$ </u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
$\bf⟹ \: 4x + 12 = 8$

$\large\bf{\underline{We\:have\:to\:find:-}}$

$\bf\:The \: number \: results \: when \: 2 \: times \: x \\ \bf is \: added \: to \: 7$
$\bf ⟹\: 2x + 7 = ?$

$\large\bf{\underline{To \:find\:the\:value\:of\:x}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x + 12 = 8$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x = 8 - 12$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x = - 4$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹x = \frac{ - 4}{4}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹x = - 1$

$\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2x + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2( - 1) + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= - 2 + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= 5$

__________________________________________

$\large\bf{\underline{Hence}}$

$\huge{2x + 7}$

$\huge{=5}$

3 0

3 years ago

Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

You want to make a necklace with 5 beads on it; you have a bag that contains 5 differently colored beads. You draw a bead from t

Vladimir [108]

There are 120 different combinations.

There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:

5*4*3*2*1 = 120.

8 0

3 years ago

1.) Find the equation of the circle with center at (-3, 1) and through the point (2, 13).

Sav [38]

Answer:

the negative is what make it wrong

Step-by-step explanation:

3 0

3 years ago

What is the correct answer?

iragen [17]

Answer:

F

Step-by-step explanation:

5 0

3 years ago

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