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larisa [96]
2 years ago
5

find the value of x of given figure and solve this question step by step plzz help question number D​

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

Answer:

The value of x is 15 cm

Step-by-step explanation:

#(d)

In Δ BDC

∵ ∠D is a right angle

∴ BC is the hypotenuse

∴ BD and DC are the legs of the right angle

→ By using Pythagoras Theorem

∵ (BC)² = (BD)² + (DC)²

∵ BD = 10 cm

∵ DC = 2√11 cm

→ Substitute them in the equation above

∴ (BC)² = (10)² +(2√11)² = 100 + 44 = 144

→ Take √  for both sides

∴ BC = 12 cm

In Δ ABC

∵ ∠B is a right angle

∴ AC is the hypotenuse

∴ AB and BC are the legs of the right angle

→ By using Pythagoras Theorem

∵ (AC)² = (AB)² + (BC)²

∵ AB = 9 cm

∵ BC = 12 cm

∵ AC = x

→ Substitute them in the equation above

∴ x² = (9)² +(12)² = 81 + 144 = 225

→ Take √  for both sides

∴ x = 15 cm

∴ The value of x is 15 cm

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y=-7x+8

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3 years ago
Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50
steposvetlana [31]

<u>Answer-</u>

f(2)= 6x^4-10x^3+40x-50=46

<u>Solution-</u>

The given function is,

\Rightarrow f(x)= 6x^4-10x^3+40x-50

Now, we have to find the value of f(x) at x=2 i.e f(2), so putting x as 2 in the given function,

\Rightarrow f(2)= 6(2)^4-10(2)^3+40(2)-50

\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50

\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50

\Rightarrow f(2)= 96-80+80-50

\Rightarrow f(2)= 96-50

\Rightarrow f(2)= 46

Therefore, f(2) was found to be 46.


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3 years ago
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How does the graph of y = sqr x + 2 compare to the graph of the parent square root function?
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Wanda and Kyle want to compare the worth of their baseball cards. Wanda has 80 baseball cards and Kyle has 110 baseball cards. S
chubhunter [2.5K]

Answer:

Mean

Step-by-step explanation:

If Wanda has 80 baseball cards and Kyle has 110 baseball cards. Given that they know the total value of all their individual base ball cards, the worth of each baseball card will be derived by dividing the Total Worth of the cards by the number of cards. This is an example of Mean. Therefore they should use Mean to compare the worth of the cards.

Illustrative Example

If the Total Value of their cards are $500,

For Wanda, Value Per Card= $500/80 Cards =$6.25 per card

Similarly,

For Kyle, Value Per Card= $500/110 Cards =$4.55 per card

So we can see from this illustration whose card is with an higher price using the mean.

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3 years ago
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