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defon
2 years ago
12

What is the area of this figure? No LINKS!!! part 3​

Mathematics
1 answer:
Cloud [144]2 years ago
7 0
<h3>Answer:  518</h3>

Explanation:

Let's draw a vertical line to split the figure into two rectangles.

The rectangle on the left is 42 by 9, so its area is 42*9 = 378.

The rectangle on the right is 7 by 20 giving an area of 7*20 = 140.

Overall, the entire area is 378+140 = 518 square yards

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Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb =
yarga [219]

Answer:

Weight of parcel to the nearest whole kilogram = 6 kg

Explanation:

 Weight of parcel = 12 lbs 8 oz

 1lb = 16 oz  also we have 1lb = 454 g

 Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs

  Weight of parcel in g = 12.5*454 = 5675 g

  Weight of parcel = 5675 g = 5.675 kg

  Weight of parcel to the nearest whole kilogram = 6 kg


8 0
3 years ago
Which equation represents the line that passes through (–8, 11) and (4,7/2 )? A. y =-5/8x + 6 B. y =-5/8 x + 16 C. y = -15/2x –
Dafna11 [192]
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71

4 0
3 years ago
A veterinarian wishes to compare the number of times race horses are reported to be lame during a 12‑month period, as compared w
cestrela7 [59]

Answer:

Step-by-step explanation:

Hello!

The objective of the veterinarian is to check if racing contributes to lameness in racing horses. To conduct a test the veterinarian should select at random two groups of horses, group one will be of racing horses and group two should be of not racing horses. Other than racing, all the other differences between the horses that may cause lame or resistance to lame should be controlled( confounding variables) such as age, breed, the number of weakly hours spent exercising, diet, obstacle-free environment, etc...

This type of study is an experimental design.

The experimental design is an analytic essay characterized by the fact that the investigator controls the study variable and the randomization of the samples. In which all the variables are controlled except the ones that you wish to study.

I hope it helps!

5 0
3 years ago
Help? I can't seem to understand arithmegic sequence.
katrin2010 [14]

A sequence \{a_n\} is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the nth term, a_n, in terms of the previous, (n-1)th term, a_{n-1}:

a_n=a_{n-1}+3

By this definition, we can just as easily write the (n-1)th term in terms of the (n-2)th term:

a_{n-1}=a_{n-2}+3

Then, substituting this into the previous equation, we have

a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3

We can continue this process to write a_n in terms of a_1:

a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3

a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to n.) The pattern continues down to

a_n=a_1+(n-1)\cdot3

The first term in this sequence is a_1=45, so we have

a. a_n=45+3(n-1)=42+3n

where n=1,2,3,\ldots.

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, <u>57</u>, 60, <u>63</u>, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

a_{15}=42+3\cdot15=87

4 0
3 years ago
**30 POINTS**<br> PLEASE SOLVE<br> Write 8x³y³ as the power of a product.
Leno4ka [110]

Answer:

(2xy)³

Step-by-step explanation:

According to the Power Rule of Exponents:

(ab})^{m}   =  a^{m}b^{m}

We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.

8 is a perfect cube of 2:  ⇒  2 × 2 × 2 = 2³ = 8

The cube of x is x³:   ⇒  x × x × x = x³

The cube of y is y³  ⇒  y × y × y  = y³

Hence, we can take the least common factors, (2xy) and raise them to the third power:

(2xy)³ = 2³x³y³ =  8x³y³

Therefore, the correct answer is: (2xy)³

6 0
3 years ago
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