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4 years ago

3(6x - 4) = 22x

Mathematics

1 answer:

pentagon [3]4 years ago

5 0

First expand the brackets 18x-12=22x and then you move the 18x to the other side so 12=22x-18x 12=4x. 3=x

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she

kati45 [8]

She can bake 9 cakes

3 0

3 years ago

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

rodikova [14]

Answer:

A,B,andE

Step-by-step explanation:

Or The length AB is 2, The length A'B' is 3, and The scale factor is Two-Thirds

6 0

3 years ago

Read 2 more answers

(PLEASE I REALLY NEED HELP ON THIS QUESTION!!!WILL MARK AS BRAINLEST!!!)

vodka [1.7K]

2330/96 ≅ 24

96 • 24 = 2304

2330 - 2304 = 26 oranges

3 0

4 years ago

PLEASE HELP I WILL HELP YOU

Sidana [21]

Answer:

5 is the answer

Step-by-step explanation:

hope this helps

7 0

2 years ago