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3 years ago

Find the missing values of the variables. The diagram is not to scale.

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

y = 64 and x =99

Step-by-step explanation:

y+116 =180

y=64

and

x+y+72+135=360

x=99

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3 years ago

HELP 45 POINTS!! FIRST CORRECT ANSWER GETS BRAINLIEST

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a. She needs to hang each triangle from its center of gravity or centroid, which is the point at which the three medians of the triangle intersect.

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Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

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3 years ago

Read 2 more answers

7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

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3 years ago

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Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett

Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

Step-by-step explanation:

Given

$Word = DANCER$

$n =6$ --- number of letters

Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =6!$

This gives:

$Total =6*5*4*3*2*1$

$Total =720$

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

8 0

3 years ago