The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
<h3>What is a mathematical model?</h3>
A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
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<span>Triangle ACD is similar to triangle ABD</span>
Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
1.047197 x 180/π = 60°
Answer:
<h2>
64 cm²</h2>
Step-by-step explanation:
given:
the scale from a square park to a drawing of the park is 5 m to 1 cm
the actual park has an area of 1,600 m²
find:
what is the area of the drawing of the park
solution:
drawing scale is 5m : 1cm
<u>1,600 m² </u> = <u> 5² m² </u>
x 1² cm²
cross multiply:
5² m² x = 1600 m² (1 cm²)
x =<u> 1600 m² </u>
5² m²
x = 64 cm²
therefore, the area of a square park in the drawing is 64 cm²
Answer:
Total donation by Alonzo's mother = $40.
Step-by-step explanation:
Complete Question.
Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for each mile that Alonzo walks.
If Alonzo walks 15 miles, What will be the amount of her mother’s donation?
Alonzo's mum donates $10 for participation and an additional $2 per mile.
Alonzo walks 15 miles, this translates to an additional donation of (15×$2) = $30
Total donation by Alonzo's mother = $10 + $30 = $40.
Hope this Helps!!!