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1 year ago

4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group

Mathematics

1 answer:

Alona [7]1 year ago

5 0

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

<h3>Calculation of angle</h3>

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

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Merl is a Canadian exchange student in China, and he currently has 12,000 yuan in his bank account. If the exchange rate changes

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The value in Canadian dollars of the money in Merl's bank account goes down because it takes .14 more Yuan to make 1 Canadian dollar.

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2 years ago

She has read 1/5 of the book already what fraction of the book does she need to read now?

arlik [135]

Answer:

4/5

Step-by-step explanation:

1-1/5=4/5

she still has 4/5 to read

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2 years ago

For a quadratic function, which characteristics of its graph is equivalent to the zero of the function? a) y-intercept b) maximu

Sonja [21]

Answer:

d) x-intercept

Step-by-step explanation:

The zeros of a function are the values of x that make y = 0.

Thus, they are the points where the graph crosses the x-axis, that is, the x-intercepts.

a) is wrong. the y-intercept is simply the value of y when x = 0.

b) and c) are wrong. A quadratic can have only one maximum or one minimum; it can't have both. And they are not zeros except in the special case of y = ±ax².

The diagram below is the graph of y = x² + 3x - 46. It shows the zeros at x = -23 and x = 20. The minimum and the y-intercept are not zeros of the function.

3 0

2 years ago

Find the value of x. Round to the nearest tenth.

nordsb [41]

Step-by-step explanation:

here,,

a=3,b=10,C=120°

c^2=a^2+b^2-2ab cos120°

=(3)^2 +(10)^2 _2 (3)(10)(-1/2) [cos120°=-1/2]

=9+100-(-30)

=109+30

=139

c=(139 )1/2=11.79

c=12

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2 years ago

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for

Aneli [31]

The monthly loan payments are $350 ⇒ B

Step-by-step explanation:

Simple Interest formula (Principal + Interest) is A = P(1 + rt) where:

A is total accrued amount (principal + interest)
P is principal Amount
r is rate of interest per year in decimal
t is time period involved in months or years

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for 5 years at 10%APR.

We need to find how much the monthly loan payments are

∵ Adam is buying a hot air balloon for $19,000 with a down payment

of $5,000

- Subtract the down payment from the cost of the balloon

∴ P = 19000 - 5000 = 14000

∵ The bank approved a simple interest flat rate loan for 5 years at

10% APR

∴ t = 5

∴ r = 10% = 10 ÷ 100 = 0.1

- Substitute all of theses values in the formula above

∵ A = 14000[1 + 0.1(5)]

∴ A = 21000

∴ The loan payment is $21000

- The loan will pay in 5 years

∵ The number of monthly payment = 5 ×12 = 60

- Divide the amount of loan payment by 60

∴ The monthly loan payments = 21000 ÷ 60 = 350

The monthly loan payments are $350

Learn more:

You can learn more about the monthly payment in brainly.com/question/788903

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2 years ago