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2 years ago

A circle has a radius of 9.5 centimeters. What is the area of the circle? Use 3.14 for n.

Mathematics

1 answer:

Ne4ueva [31]2 years ago

7 0

Answer:

c is the answer you're looking for

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How would I find angle B for this bridge? What formula would I use?

astraxan [27]

The bridge attached is drawn according to given dimensions, and it doesn't look right. Please double check the given dimensions.

Calculations:
Horizontal part of bottom chord below the 70 degree triangle
= 15.1*cos(70) = 5.16 (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.

Therefore
angle B = atan(14.19/(6.3-5.16))=85.41 degrees

I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle. (The vertical members carry no force.)
If you can review the input data, or post a new question, I will be glad to help.

4 0

2 years ago

Read 2 more answers

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

2 years ago

Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain

Molodets [167]

Solution for f(g(5)):

The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:

Step 1: Plugging 5 to g(x)

$g(5)=5-2=3$

Step 2: Plugging the answer to f(x)

$f(3)=3(3)-6=9-6=3$

ANSWER: f(g(5)) is equal to 3.

Domain:

For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.

However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.

ANSWER: The domain of the function is all real numbers.

3 0

3 years ago

Consider the two groups listed below. Which statement describes the sets?

IceJOKER [234]

The answer is d as for any given length you could have any given volume by altering the cross sectional area of the pool and vice versa

3 0

2 years ago

Evaluate the expression (2x + y) - z when x= 3, y = 4, z =5

Lapatulllka [165]

Answer:

Step-by-step explanation:

(2x + y) - z

Let x=3 y=4 and z=5

2*3 +4 -5

Multiply and divide first

6 +4 -5

Then add and subtract

10-5

5 0

2 years ago