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alina1380 [7]
3 years ago
15

Help 15 points for the answer

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

3x² + 7x + 6

Step-by-step explanation:

<u>Big Rectangle:</u>

A = bh

A = (x + 3)(x + 2)

A = x² + 2x + 3x + 6

A = x² + 5x + 6

<u>Small rectangle:</u>

A = bh

A = (x + 1)(2x)

A = 2x² + 2x

<u>Combined:</u>

x² + 5x + 6 + 2x² + 2x

3x² + 7x + 6

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9. x + 5y = 0
DedPeter [7]

there are 5 solutions. Or 4

8 0
2 years ago
Which of the following properties completes the proof?
Tresset [83]

The subtraction property of inequality can be used to proof that x = 7 from  x + 8 = 15

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that x + 8 = 15

Hence:

x + 8 - 8 = 15 - 8 (subtraction property of inequality)

x = 7

The subtraction property of inequality can be used to proof that x = 7 from  x + 8 = 15

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
What is the lateral area of the pyramid
Mkey [24]

Answer:

43.75 ft²

Step-by-step explanation:

s_l = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

<em />s_l<em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>

<em />s_l = 2(3.5√(3.5/2)² + 6²)

<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>

<em />s_l<em> </em>= 2(3.5√1.75² + 6²)

<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>

s_l = 2(3.5√3.0625 + 36)

<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>

<em />s_l = 2(3.5√39.0625)

<em>Step 5: The square root of 39.0625 is 6.25.</em>

<em />s_l<em> </em>= 2(3.5 * 6.25)

<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>

<em />s_l = 2(21.875)

<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>

<em />s_l = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

<em />

<em />

3 0
2 years ago
I NEED HELPPP<br><br> Whats the length of LN?
andre [41]

Answer:

LN = 66 cm

Step-by-step explanation:

The 3 parallel lines divide the 2 sides they intersect in proportion, that is

\frac{DE}{EF} = \frac{LM}{MN} , substitute values

\frac{7}{15} = \frac{LM}{45} ( cross- multiply )

15LM = 315 ( divide both sides by 15 )

LM = 21

Hence

LN = LM + MN =  21 + 45 = 66 cm

3 0
3 years ago
The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. based on a large number of obser
Liono4ka [1.6K]
The normal distribution curve for the problem is shown below

We need to standardise the value X=405.5 by using the formula

z-score= \frac{X-Mean}{Standard Deviation}
z-score= \frac{405.5-402.7}{8.8} =0.32

We now need to find the probability of z=0.32 by reading the z-table

Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

P(Z\ \textgreater \ z)=1 - P(Z\ \textless \ z)

from  the z-table, the reading P(Z\ \textless \ 0.32) gives 0.6255

hence, 
P(Z\ \textgreater \ 0.32)=1-0.6255=0.3475

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%

7 0
3 years ago
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