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3 years ago

PLEASE HELP ITS URGENT

Mathematics

2 answers:

Monica [59]3 years ago

8 0

Answer:

( -4, 3 )

Step-by-step explanation:

The solution is where the lines cross.

NNADVOKAT [17]3 years ago

5 0

Answer:

Its the second answer

Step-by-step explanation:

You might be interested in

Trigonometry:

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0

2 years ago

Miss Lewis has $523.50 in her savings account. Her bank pays 5 3/4% if interest. If the interest is computed once per year, how

cluponka [151]

Answer:

Interest She'll make in a year is $30.10125

Step-by-step explanation:

Interest = PRT ÷ 100

Principal = $523.50

Rate = 5³/₄% = 5.75%

Time= 1year

Interest I = (523.50 × 5.75 × 1) ÷ 100 = $30.10125

Interest She'll make in a year is $30.10125

5 0

3 years ago

15•(3 + b) = 45 + b

Alekssandra [29.7K]

Subtract 15 from both sides that gets rid of 15 and your left with 3b =30b divide 3 on both sides and the answer is 10

8 0

3 years ago

Shiny White dental insurance costs $258 per year. Approximately one-third of insured people need a filling, which averages $110

sveta [45]

Answer:

about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

12 × $95 = $1140

The net income from these 15 customers will be ...

$3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

$2180/15 = $145.33

_____

<em>Alternate solution</em>

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

258 - (1/3)·110 - 0.80·95 = 145.33

8 0

3 years ago

Read 2 more answers

Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,

MAVERICK [17]

Answer:

$y=300(1+0.16)^x$

Step-by-step explanation:

<h2>This account can be modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

$A= P(1+r )^t$

Where

A =final amount = y

P=initial principal balance = $300

r=interest rate = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

$y=300(1+0.16)^x$

5 0

3 years ago