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2 years ago

Can you help me on problem 1 of Three-Dimensional Figures

Mathematics

1 answer:

svlad2 [7]2 years ago

4 0

The answer is D) isosceles and equilateral triangle

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Can please someone help me? The question is in the picture. Thank you

maxonik [38]

Answer:

C. $9\pi$

Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

$(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}$ (1)

$x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)$

$x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17$

$4\cdot x^{2} -20\cdot x + 16 = 0$

$(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0$

$(2\cdot x -8)\cdot (2\cdot x -2) = 0$

There are two different solutions:

$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

$x_{1} = 4$

$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

$x_{2} = 1$

$UV = 2\cdot (1) - 4$

$UV = -2$

$WU = 1 - 1$

$WU = 0$

$WV = 1 + 1$

$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

$A = \pi\cdot (9)$

$A = 9\pi$

The correct answer is C.

6 0

2 years ago

The temperature at 6:00 A.M. 58 degrees Fahrenheit. The temperature increased at a constant rate of 3 degrees Fahrenheit every h

Tasya [4]

Answer: $c. (t:58\leq t\leq 70)$

Step-by-step explanation:

given data:

T = 58 degree Celsius.

changes in temperature = 3dregres every hour = 4.

solution:

$t=58+3h\\where h = 4$

substitute the value for h into the equation.

$t=58+3(4)\\t=58+12\\t=70$

the set with $58\leq t\leq 70$ best represents the function range.

5 0

2 years ago

Suppose the cpi was 110 last year and is 121 this year. instructions: in part a, enter your answer as a whole number. in part b,

nexus9112 [7]

<span>To calculate the change in CPI we need to do a % change formula. (New - Old) / (Old) = n. (121 - 110) / 110 = .10. This is equal to a 10% change in CPI. To confirm the answer, do, (Old) * (1+n) = New CPI. 110*(1+.10) = 121. It equals so it is right!</span>

8 0

2 years ago

Can I please get some help with this

algol [13]

Answer

x= -3 -> y= -2

x= -1 -> y= -4

x= 3 -> y= -2

Step-by-step explanation:

The lines around the x in the equation is the absolute value symbol.

If you put a positive in, it stays positive.

If you put a negative in, it becomes positive.

Then solve normally.

Good luck!

3 0

2 years ago

The equation of a line in this form y - y1 = m ( x - x1) is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _-_ _ _ _ _ _ _ _ _ _ _ _ _ _fo

nadezda [96]

Answer:

"point-slope"

Step-by-step explanation:

In your template equation, m is the slope of the line, and (x1, y1) is a point on the line. This equation that makes use of a point and the slope is called the <u>point-slope</u> form.

4 0

2 years ago