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maksim [4K]
3 years ago
6

Justin completes 8 extra credit problems on the first day and then 4 problems each day until the worksheet is complete. There ar

e 28 problems on the worksheet. Write and solve an equation to find how many days it will take Justin to complete the worksheet after the first day.
Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

28-8-4x=0

x=5

5 days

Step-by-step explanation:

28-8=20 problems left

then 4 each day

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0
1 year ago
Read 2 more answers
5^2x=28 <br> (Help me please!!!!!!)
gizmo_the_mogwai [7]
Okay so i would do this with a logarithm. 
5^(2x) = 28 
take the log of both sides
log5^(2x) = log28   and because of this log rule: logA^n = nlogA 
(2x)log5= log28
then divide by log5 on both sides
2x = log28 / log5
and divide by 2
x = (log28 / log5) /2
this can be found with a calculator:

x= about 1.03521...
round that to whatever the question says to
6 0
3 years ago
Find the slope between (-4,9)and(-2,8)
Taya2010 [7]

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

7 0
2 years ago
Read 2 more answers
PLZZ HELP<br>What is the common difference of the arithmetic sequence? 7, 2, -3, -8, -13,...​
Westkost [7]

Answer:

Subtract 5 from the number before.

Step-by-step explanation:

7-5=2, 2-5=-3, -3-5=-8, -8-5=-13

6 0
2 years ago
1. In the diagram below which expression represents x, the measure of the exterior angle shown?
IRISSAK [1]

Answer:

a) a + b

Step-by-step explanation:

4 0
3 years ago
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