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Aleks04 [339]
3 years ago
5

The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm

Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

16 cm

Step-by-step explanation:

Given : The area of triangle ABC is 24 square centimeters.

To Find: If B = 30° and a = 6 cm, what is the measure of side c?

Solution:

Formula : Area = \frac{1}{2} \times a \times c \times sin B

a = 6

Area = 24

B = 30°

Substitute the values in the formula

24 = \frac{1}{2} \times 6 \times c \times sin 30

24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}

24 =3 \times c \times \frac{1}{2}

\frac{24 \times 2}{3} =c

16=c

Hence the measure of side c is 16 cm

So, Option c is correct.

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Question 2 of 25
notsponge [240]

The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = 6x + 4

Rewrite as:

y = 6x + 4

Swap x and y

x = 6y + 4

Subtract 4 from both sides

6y = x - 4

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y = (x - 4)/6

Rewrite as:

f^-1(x) = (x - 4)/6

Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

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brainly.com/question/2541698

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6 0
2 years ago
The sum of a certain number and -3.4 is -8.1 find the number​
alexira [117]

Answer:

4.7

Step-by-step explanation:

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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
Kobotan [32]

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0
3 years ago
Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of
marshall27 [118]

Answer:

a) CI = ( 5,1 ; 5,7 )

b) SE =  0,1  

Step-by-step explanation:

a) Sample random     n  = 100

Mean  =  μ = 5,4

Standard deviation   s = 1,3

CI = 99 %    α = 1 %   α = 0,01     α/2 =  0,005

z(c) for  0,005 is from z-table    z(c)  = 2,575

z(c)  =  ( X - μ ) /s/√n          CI  =  μ ± z(c) * s/√n

CI =  5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10       SE =  0,1  

We can support that with 99 % of probability our random variable will be in the CI.

6 0
2 years ago
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