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ss7ja [257]
3 years ago
7

Find the value of r in the following diagram.

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

r = 6.7

Step-by-step explanation:

9²-6²=45

√45=6.7

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How to find x in a parallelogram?
liubo4ka [24]

Answer:

Step-by-step explanation:

the shape is a parallelogram => angle E = angle G & angle F= angle D;

=> 11x-2=132

11x=134

x=12,(18)degree

5 0
2 years ago
Which expression is equivalent to 3 times 5 times 5 times 5 times 5 times 5 times 5? 15 Superscript 6 15 Superscript 7 3 (5) Sup
malfutka [58]

Answer:

<h2>3 (5) Superscript 6</h2>

Step-by-step explanation:

Given the expression 3*5*5*5*5*5*5

In order to get the equivalent expression, first we must note the repetition of the value 5. Since the value of 5 is repeated 6 times during the multiplication, it can be written in indicinal form as shown;

3*5^{6}

5^{6} in the equation means that 5 is being repeated 6 times.

The required answer is 3(5)^{6}

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME!! GEOMETRY!<br> All I need is the value of x, and how you found it. Thanks :))
Novosadov [1.4K]

Answer:

-15

Step-by-step explanation:

3x+5=BD

4x+20=AE

3x+5 = 4x+20

subtract 3x from 4x = 1x = x

subtract 20 from 5 = -15

-15=x

6 0
3 years ago
Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter
zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

V(t)=P(1+\frac{r}{n})^{nt}

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
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