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e-lub [12.9K]
2 years ago
8

PLEASE PLEASE HELP PLEASE

Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

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d1i1m1o1n [39]

<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

7 0
3 years ago
Read 2 more answers
The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
 2.3 x 10²

Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
3 years ago
each week, Jennifer saves 1/5 of her allowance and spends some of the rest on lunches. this week, she had 2/15 of her allowance
lutik1710 [3]

Answer:

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7 0
3 years ago
PLEASE HELP ASAP!!!
Mariana [72]

Answer:

<h3>C. (a, b)</h3>

Step-by-step explanation:

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

We have A(0, 0) and C(2a, 2b). Substitute:

x=\dfrac{0+2a}{2}=\dfrac{2a}{2}=a\\\\y=\dfrac{2b+0}{2}=\dfrac{2b}{2}=b

M(a, b)

4 0
3 years ago
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Which of the following is an example of a proper fraction?
Alja [10]
You can rule out A and C 6/6 makes 1 so that cancels so your answer is D
5 0
3 years ago
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