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mezya [45]
2 years ago
5

The sum of the two digits of a number is 16. The number formed by reversing the digits is 18 more than the original number. Dete

rmine the original number.
Let t = the tens digit, u = the units digit, and u + t = 16. Which of the following equations would complete the system?

9t - 9u = 18
9u - 9t = 18
tu = ut + 18
Mathematics
2 answers:
FromTheMoon [43]2 years ago
7 0
9u-9t=18

original no. is 10t+u
reversed no. is 10u+t
so is (10u+t)-(10t+u)=18
hence, the ans is 9u-9t=18
77julia77 [94]2 years ago
5 0

The answer is B, 9u-9t=18

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solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3
Amiraneli [1.4K]

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

sin^{-1}(\frac{4}{6})=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

5 0
2 years ago
I need help please and thanks
Akimi4 [234]
Perimeter of rectangle = all sides added
= 3+3+7+7 =20


volume of sphere = 4/3 x π x r(cubed)
= 4/3 x π X 4(cubed)
= 268.08257

area of triangle = base x height / 2
= 5 x 6 / 2
=30/2 =15

volume of pyramid = base height x base width x height / 3
= 300

side of triangle ---> use Pythagoras theorem so a(squared) + b (squared) = c(squared)
4(squared) + 3(squared) = c(squared)
16 + 9 = c(squared)
25 = c(squared)
c = 5


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7 0
2 years ago
Please help ASAP<br><br> If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x)<br> b.) (gof) (-2)
Rudik [331]
\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}


\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}

______


\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}

______


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559


\large\textsf{I hope this helps. :-)}


Tags: <em>composite function composition evaluate algebra</em>

7 0
3 years ago
What is the kinetic Energy of a 110 kg linebacker rushing towards his football
Leviafan [203]

<u>Answer:</u>

The Kinetic energy of the 110 kg linebacker is 1375 J

<u>Solution:</u>

The kinetic energy of an object is the energy produced by its velocity. Kinetic energy of an object is directly proportional to the mass and the square of the its velocity.

Therefore, the formula for kinetic energy is

KE=\frac{1}{2} \times m v^{2}

Here, The linebacker’s mass m = 110 kg

The linebacker’s velocity v = 5 m/s

So by substituting the values,

The kinetic energy of linebacker is

K E=\left(\frac{1}{2} \times 110 \times 5 \times 5\right) \text { Joules } \\\\ \Rightarrow (\frac{2750}{2}) Joules = 1375 Joules

3 0
2 years ago
Jeffrey is going to charge an initial fee of $10 for mowing lawns, plus an hourly rate. He knows that he wants to
zmey [24]

Answer:

B 15

Step-by-step explanation:

10 dollar + 2 hours of work 15 x 2

4 0
3 years ago
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