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cestrela7 [59]
3 years ago
15

Three boards are placed end to end to make a walkway. The first board is

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

16ft 2in

Hope it helps :)

Step-by-step explanation:

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What is the value of x? <br>12 units<br>15 units <br>20 units <br>24 units<br>​
zvonat [6]

More information is needed to answer you.

8 0
3 years ago
Read 2 more answers
HELPP!!!!!!!!!!!!!!!!
Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step.  The equation is

8-3\sqrt[5]{x^3}=-7

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time.  First thing is to subtract 8 from both sides:

-3\sqrt[5]{x^3}=-15

The goal is to isolate the term with the x in it, so that means that the -3 has to go.  Divide it away on both sides:

\sqrt[5]{x^3}=5

Let's rewrite that radical into exponential form:

x^{\frac{3}{5}}=5

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely.  On the right, let's rewrite that back in radical form to solve it easier:

x=\sqrt[3]{5^5}

Let's group that radicad into groups of 3's now to make the simplifying easier:

x=\sqrt[3]{5^3*5^2} because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

x=5\sqrt[3]{5^2} which is the same as:

x=5\sqrt[3]{25}

8 0
3 years ago
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

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5 0
1 year ago
A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65%
ruslelena [56]

The regular selling price of the jewelry is $253.00. The sale price for the jewelry is $189.75. And the rate of markdown is 25%.

A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65% of cost and the normal profit is 55% of cost.

Overhead and Profit means those costs incurred by you and paid to a General Contractor to perform and oversee covered repairs to the insured location. “Overhead and Profit” does not apply to independent or specialty contractors including, but not limited to, roofers, plumbers, electricians and painters.

It is given that the unit price of the watch is $250 and the discount rates are 40%, 16 +2/3 or 16.666666667%, and 8%. Therefore the purchase price of watches per unit can be estimated as:

Purchase price of watches per unit = Unit price*(1- first discount %)(1-second discount %)(1-third discount %)

Purchase price of watches per unit = 250*(1-40%)(1-16.66666667%)(1-8%)

Purchase price of watches per unit =115

Now, the overhead expense is 65% of the cost. So the overhead amount is Overhead amount = 65% of the cost

Overhead amount = 115*65%

Overhead amount = 74.75

Now, the profit is 55% of the cost. So

Profit amount = Cost *profit %

Profit amount =115*55%

Profit amount =63.25

a. Thus, the regular selling price can be estimated as:

Regular selling price = Unit purchase cost + overhead + profit

Regular selling price =115+74.75+63.25

Regular selling price =253.00

Therefore, the regular selling price of the watches would be $253.00

b. The sale price to break even would be equal to the cost of the watch plus overhead. It is the amount that is required to cover only the total cost of the product. So,

Break-even price = Cost + overhead

Break-even price =115 + 74.75

Break-even price = 189.75

Therefore, the break-even price is $189.75.

c. From above, the regular selling price is 253.00 and the break-even price is 189.75. Thus,

Mark-down rate to sell at break-even price = (Regular selling price-Breakeven price)/Regular selling price.

Mark-down rate to sell at break-even price = (253-189.75)/253

Mark-down rate to sell at break-even price = 0.25 or 25%

Therefore, the mark-down rate is 25%.

To learn more about markdown rate visit:

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7 0
1 year ago
I need help with these two fraction questions :(
sammy [17]

Answer:

6 \times \frac{13}{24}

5 0
2 years ago
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