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3 years ago

If angle 5 is 78 degrees , what is the angle measure of 1?

Mathematics

1 answer:

Ne4ueva [31]3 years ago

4 0

Step-by-step explanation:

120 or 16 I think sorry if I got it wrong

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What is synthetic division?

Cerrena [4.2K]

Answer:

A simplified method for dividing a polynomial by another polynomial of the first degree is synthetic division.

6 0

3 years ago

Diego measured the length of a pen to be 21 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent

Colt1911 [192]

B hope it helps you

4 0

3 years ago

Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou

Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.

$x+y\leq 13$

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

$4x+7y\geq 65$

Number of hours can not be negative.

$x\geq 0, y\geq 0$ .

Therefore, the required system of inequalities contains some equations, $x+y\leq 13,4x+7y\geq 65$ and $x, y\geq 0$ .

4 0

3 years ago

Solve the differential equation.<br><br> dp/dt = t^2p - p + t^2 - 1

Alborosie

$\frac{dp}{dt} = t^2 p - p + t^2 - 1 \Rightarrow \frac{dp}{dt} = p(t^2 - 1)+ 1(t^2 - 1 ) \Rightarrow \\
\\
\frac{dp}{dt} = (p+1)(t^2 - 1)\ \Rightarrow\ \frac{dp}{p+1} = \left(t^2 - 1\right)dt\ \Rightarrow \\ \\
\int \frac{dp}{p+1} =\int \left(t^2 - 1\right)dt\ \Rightarrow \ \ln|p+1| = \frac{1}{3}t^2 - t + C \ \Rightarrow \\ \\
|p+1| = e^{t^3/3 - t + C}\ \Rightarrow\ p+1 = \pm e^Ce^{t^3/3 - t} \Rightarrow \\ \\
p = Ke^{t^3/3 -t} - 1,\ \text{where $K = \pm e^C$}
$

Since $p = -1$ is also a solution, $K$ can equal 0, and hence, $K$ can be any real number.

7 0

3 years ago

Mark owes his sister $15. He earned $20. He gave 1/5 of his earnings to a local charity and then he paid his sister. Does Mark h

ehidna [41]

Answer:

Yes, Mark has $16 left and only has to pay his sister $15.

Step-by-step explanation:

1/5=x/20

use cross multiplication to find (x),which represents 20% of 20.

x/20=1/5 (cross multiply)

20=5x (divide by 5 on both sides)

x=4

This tells you that Mark gave $4 to the local charity.

20-4=16

Subtracting 4 from his original amount, he now has $16 left.

7 0

4 years ago

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