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SCORPION-xisa [38]
3 years ago
5

Use the image of the circle to identify the length of the radius, diameter, and circumference. Leave all answers in terms of π w

hen necessary.

Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

Please look at the attachment for the figure of circle with radius, diameter,circumference labelled.

AB is the diameter

OB and OA are radii

Radius is half of the diameter or in other words diameter is double of radius.

And circumference is the outer line of the circle

circumference=2\pi r


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Algebra: Find x<br> ....
luda_lava [24]

Answer:

d

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

\frac{2x+1}{x+4} = \frac{40}{25} = \frac{8}{5} ( cross-  multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

3 0
3 years ago
You used a telescope and other mathematics to discover that Jupiter is 5.20 au from the sun. Use the equation to find its orbita
diamong [38]

Answer:

11.9 au

Step-by-step explanation:

5 0
3 years ago
Can somebody help me with these problems please
mario62 [17]

Answer:

11. A. \frac{12}{13}

12. D. \frac{35}{12}

Step-by-step explanation:

11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle

Opposite of A = 36

Hypotenuse of the triangle = 39

36/39 = \frac{12}{13}

12. Tan is the side opposite of the angle divided by the side adjacent to the angle

Opposite of C = 35

Adjacent to C = 12

35/12 = \frac{35}{12}

Hope this helps!

3 0
2 years ago
1. Which of the following is the slope-intercept form of 6x + 2y = 28?
Andru [333]

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

6x + 2y = 28 ( subtract 6x from both sides )

2y = - 6x + 28 ( divide the terms by 2 )

y = - 3x + 14 ← in slope- intercept form

6 0
3 years ago
Read 2 more answers
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
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