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3 years ago

13. Select all the expressions equivalent to (4x5)(5x6).

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

Answer:

(4×6)(5×5)

20 × 30

(4×5)(6×5)

(2×5)(10×6)

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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

The slope of the line y = -0.75x + 1.8

LenaWriter [7]

The answer is -.75 because y=mx+b, and the slope is m.

5 0

3 years ago

Complete the statements.

9966 [12]

Step-by-step explanation:

1. 0.08703 killograms

2. Decameters

3. Liters

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3 years ago

Select all the expressions that are equivalent to 24x + 12.

nydimaria [60]

Answer:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

5 0

3 years ago

What is the answer to 8(x + 100) - 3 = 837

miskamm [114]

8x+800-3=837
8x=837-797
8x=40
x=40/8
x=5

5 0

3 years ago

Read 2 more answers