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Andru [333]
2 years ago
10

Use a special product pattern to evaluate

t="19^2-11^2" align="absmiddle" class="latex-formula">
I'm pretty sure I just normally solve it but I have no darn clue
Mathematics
1 answer:
Delvig [45]2 years ago
3 0

Answer:

240

Step-by-step explanation:

To evaluate 19^2 - 11^2, we have to use a special product pattern. Since this expression is in the form a^2 - b^2, we use the pattern (a + b)(a - b).

  • (19+11)(19-11)
  • (30)(8)
  • 240

Therefore, the answer is 240.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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You need 3 cups of cherries for every 5 cups of watermelon in a recipe for cherry-watermelon fruit smoothies.how many cups of ea
Paha777 [63]

Answer:

24 cups of cherries and 40 cups of watermelon.

Step-by-step explanation:

3 + 5=8

64 divided by 8 = 8

3x8= 24

5x8= 40

24 + 40 = 64

6 0
3 years ago
#4 find the value of x. Round answer to nearest tenth.
igomit [66]

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠40 as the reference angle,

x represents the adjacent side of the right angle triangle.

4 represents the opposite side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Tan 40 = 4/x

x = 4/Tan 40 = 4/0.839

x = 4.8

6 0
3 years ago
How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45,
sattari [20]

Answer: There are 2346953264 ways to do so.

Step-by-step explanation:

Since we have given that

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.

So, it becomes.

^{45}C_3\times ^{57}C_4\times ^{57}C_5\\\\=14190\times 395010\times 4187106\\\\=2346953264

Hence, there are 2346953264 ways to do so.

8 0
3 years ago
5 + 8n = 7(-7 + 4n) -6
Luba_88 [7]

Answer:

n = 3

Step-by-step explanation:

Given

5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side

5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )

5 - 20n = - 55 ( subtract 5 from both sides )

- 20n = - 60 ( divide both sides by - 20 )

n = \frac{-60}{-20} = 3

6 0
2 years ago
Factorise fully<br> 4y - 6
Zina [86]
The answer to the question is 2(2y-3
5 0
2 years ago
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