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3 years ago

Product of 90 and 59

Mathematics

2 answers:

Karolina [17]3 years ago

5 0

Answer:

5310

Step-by-step explanation:

vichka [17]3 years ago

4 0

Step-by-step explanation:

$90 \times 59 \\ = 90 \times (60 - 1) \\ = 90 \times 60 - 90 \times 1 \\ = 5400 - 90 \\ = 5310 \\ \therefore \: \: 90 \times 59 = 5310$

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Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

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2 years ago

Which is true of an adjustable rate mortgage?

stealth61 [152]

Answer:

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2 years ago

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2 years ago

Let T:ℝ2→ℝ2 be the linear transformation that first rotates points clockwise through 45∘ (????/4 radians) and then reflects poin

Alisiya [41]

Answer:

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

Step-by-step explanation:

Let General Transformation matrix be denoted as T

Step 1: Clockwise rotation of 45 degrees

General counterclockwise rotation matrix in 2-dimension is given as

$R(\theta)=\left[\begin{array}{ccc}cos\theta & - sin\theta\\sin\theta&cos\theta\\\end{array}\right]$

For clockwise rotation we need to insert θ as negative in the above matrix. Therefore, the resulting matrix is

$R(-\theta)=\left[\begin{array}{ccc}cos\theta & sin\theta\\-sin\theta&cos\theta\\\end{array}\right]$

as sin(-θ) = -sin (θ) and cos(-θ) = cos (θ)

For 45 degrees

$sin(45) = \frac{1}{\sqrt{2} }$ and $cos(45) = \frac{1}{\sqrt{2} }$

$R(-45)=\left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

Step 2: Reflection through line y = x

This type of reflection maps (x,y)→(y,x)

Therefore the general matrix is

$R(x,y)=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]$

Step 3: General Transformation Matrix

T = R(x,y) R(-θ)

$T=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

3 0

2 years ago

8.88 = 4.44(x-7)<br><br> Solve for x<br><br> Show or explain your method

Kitty [74]

Answer:

x=9

Step-by-step explanation:

8.88=4.44x-31.08
8.88-4.44x=-31.08
-4.44x=-31.08-8.88
-4.44x=-39.96
x=9(we divided both rquations by -4.44)

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2 years ago

Product of 90 and 59​

Product of 90 and 59