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il63 [147K]
2 years ago
12

I really need help with this question

Mathematics
1 answer:
lilavasa [31]2 years ago
5 0

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

<h3>left side</h3>

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

<h3>right side</h3>

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).

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Which notation best represents the phrase “no more than 200”
Lilit [14]

Answer:

X<_200

Step-by-step explanation:

We know that if the number connot be more than 200 then the number is less than or equal to 200

7 0
3 years ago
Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum
otez555 [7]

<u>Step-by-step explanation:</u>

To prove:

\cos 3x=\cos^3x-3\sin^2 x\cos x

Identities used:

\cos(A+B)=\cos A\cos B+\sin A\sin B      ......(1)

\sin 2A=2\sin A\cos A        ........(2)

\cos 2A=\cos^2A-\sin^2 A     .......(3)

Taking the LHS:

\Rightarrow \cos 3x=\cos (x+2x)

Using identity 1:

\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x

Using identities 2 and 3:

\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x

As, LHS = RHS

Hence proved

4 0
2 years ago
Can someone explain how you got the answer!!
gavmur [86]

9514 1404 393

Answer:

  20 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...

  A = 5·4 = 20 . . . . square units

_____

<em>Additional comment</em>

You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.

The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)

6 0
2 years ago
Group Tens as Hundreds
IrinaK [193]

Answer:

Write how many groups of tens there are

Circle groups where there are ten groups of tens

Write how many hundreds there are

Write the total number of tens and hundreds there are

3 0
2 years ago
F(x) 3x^2+x-3 g(x)=x^2-5x+1 find f(x)-g(x)
wel

Answer:

2x² + 6x - 4

Step-by-step explanation:

f(x) - g(x)

= 3x² + x - 3 - (x² - 5x + 1) ← distribute

= 3x² + x - 3 - x² + 5x - 1 ← collect like terms

= 2x² + 6x - 4

5 0
3 years ago
Read 2 more answers
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