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Sauron [17]
3 years ago
8

jackson spends 2 1/4 hours painting 2 1/2 pictures. He spends the same amount if time painting each picture. How much in hours d

oes jackson spend painting each picture
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

1 hour and 7 1/2 minutes per picture

Step-by-step explanation:

2 1/4 = 60 * 2 = 120 + 15 = 135/2= 67.5 = 1 hour and 7 1/2 minutes

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Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
Artyom0805 [142]

Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
Help please. I need to finish this in five minutes!
e-lub [12.9K]

Answer:

i have no idea....

Step-by-step explanation:

but i hope someone helps :((  good luck:((

3 0
3 years ago
Find the common ratio for the following sequence.<br><br> 0.1, 0.01, 0.001,
nika2105 [10]

Answer:

The common ratio is 0.10

Step-by-step explanation:

0.1 x 0.1 = 0.01

0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10

common ratio = 0.001/0.01 = 0.10

6 0
3 years ago
20 POINTS PLEASE ANSWER<br> Use the relationships between the angles to find the value of x
WARRIOR [948]

Answer:

x = 25 degrees

Step-by-step explanation:

So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.

Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.

We can write this information as the equation:

4x + (2x + 10) + (x - 5) = 180

We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).

Solve for x:

4x + (2x + 10) + (x - 5) = 180

4x + 2x + 10 + x - 5 = 180

Combine like terms.

7x + 5 = 180

Subtract 5 from both sides to get rid of the +5 on the left side.

7x = 180 - 5

Simplify.

7x = 175

Divide both sides by 7 to get rid of the coefficient of 7 on the left side.

x = 175 ÷ 7

Simplify.

x = 25.

x would be equal to 25°.

x = 25 degrees

I hope you find this helpful. :)

4 0
3 years ago
6 - 1/3x = -1<br> what does x equal<br> please explain the process
NISA [10]
X = -21

Step 1: Subtract 6 from both sides -1/3x = -7
Step 2: Divide -1/3 from both sides x = -21
5 0
3 years ago
Read 2 more answers
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