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Bogdan [553]
2 years ago
9

Find the measure of DB (a curvy line is on top of DB btw)

Mathematics
1 answer:
klasskru [66]2 years ago
5 0

Answer:

Arc DB = 146

x = 5

Step-by-step explanation:

Remark

The relationship between the large arc, the small arc and the intersecting angle is

1/2 (large arc - small arc) = intersecting angle.

Givens

Large arc = 25x + 21

Small arc = 96

5x

Solution

1/2*(25x + 21 - 96) = 5x*2            Multiply both sides by 2

25x + 21 - 96 = 10 x                     Combine      

25x - 75 = 10x                             Subtract 25x from both sides

-75 = 10x - 25x

-15x = -75

x = 5

DB = 25x + 21

DB = 25*5 + 21

DB = 125 + 21

DB = 146

Tell me if this is not in the choices.

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What Fraction Of The Wall Did Kevin Paint?
Mila [183]

Kevin painted \frac{1}{9} of the wall.

Solution:

Fraction of the wall painted by Elena = \frac{5}{9}

Fraction of the wall painted by Matthew = \frac{3}{9}

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}

                          $=\frac{9-5-3}{9}

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Rest of the wall = \frac{1}{9}

Hence the kevin painted \frac{1}{9} of the wall.

6 0
2 years ago
I need help please ASAP full points
kotegsom [21]

The best way to solve this problem is with a simple equation: part = percent (in decimal form) x whole

In this problem, we're trying to solve for the <em>whole </em>amount that the camera can hold, so we'll assign that the variable w.

We can use the information they gave us - 96 is the <em>part</em>, and 24% is the percent. We'll convert that to decimal form - 0.24

Then, we just plug these values back into the above equation:

96 = 0.24w

Divide both sides by 0.24 to get w on it's own, and you have your answer!

400 = w

Therefore, the memory card can hold up to 400 pictures.


Note: this equation is <em>super </em>helpful. It's good to have on hand for any problem involving percents, because you can solve for the part, percent, or whole depending on the problem.

4 0
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