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3 years ago

You can paint 4 boxes in 30 minutes. at this rate, how many boxes can you paint in 5 hours?

Mathematics

2 answers:

lakkis [162]3 years ago

6 0

Answer

600

Step-by-step explanation:

ur welcome kid!!!!!!!!!!

sveta [45]3 years ago

6 0

The answer is 40 boxes.

The reason for this is because 30 minutes Is half a hour. So you would multiply 4 boxes in 30 minutes by 2 to make it a full hour. So now we know he/she can do 8 boxes a hour. Now we have need to know how many boxes he can do in 5 hours. So we know they can do 8 boxes a hour. Then we will multiply the 8 boxes by 5 for the 5 hours. Then we get our answer of 40 boxes. I hope this help

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Solve 13=d÷6 .Plz answer ASAP

maw [93]

Hi love...

The correct answer after solving for d is D=78. That’s a quick answer, but I can give you steps on how to solve.

1. Simplify both sides of the equation

2. Isolate the variable

3. Simplify

Then you’d have the answer!

Please let me know if you need further assistance! Have a jolly evening.
~Brooke❤️

7 0

3 years ago

A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes

Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is $\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}$

The area to be planted with flowers is approximately 923.558 m²

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

$A = \dfrac{7}{4} \cdot a^2 \cdot cot \left (\dfrac{180 ^{\circ}}{7} \right )$

The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

$\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}$

$s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69$

$The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52$

The area of the heptagon MNSRQPO is therefore;

$A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94$

$MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times 21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08$

By sine rule, we have

$\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}$

$sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})$

$\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}$

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

$Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}$

The area of the of the garden plated with flowers, $A_{req}$ , is given as follows;

$A_{req}$ = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

$A_{req}$ = 1,842.94 - 919.382 ≈ 923.558

The area of the of the garden plated with flowers, $A_{req}$ ≈ 923.558 m²

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

6 0

3 years ago

Determine the smallest integer value of x in 5x + 3 ≥ 10

Ivanshal [37]

5x + 3 ≥ 10

3 is adding on the left, then it will subtract on the right

5x ≥ 10 -3

5x ≥ 7

5 is multiplying on the left, then it will divide on the right

x ≥ 7/5

x ≥ 1.4

Then, the smallest integer value of x is 2

6 0

1 year ago

The skateboard is 800cm. How many meters would this be?

Agata [3.3K]

Answer:

8 meters

Step-by-step explanation:

5 0

3 years ago

For which equation does it make the most sense to solve by completing the square?

denis-greek [22]

Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
The following equation makes more sense to solve it complete squares:
x² + 20x = 52
We have then:
x² + 20x + (10) ^ 2 = 52 + 100
(x + 10) ² = 152
Answer:
The most sense to solve by completing the square is for:
B) x² + 20x = 52

7 0

3 years ago