find the angle of rotation that maps point D onto point A

Answer:

5 sqrt(6) = x

Step-by-step explanation:

The pythagorean theorem states

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse

7^2 + (sqrt(101))^2 = x^2

49+101 = x^2

150 = x^2

Take the square root of each side

sqrt(150) = sqrt(x^2)

sqrt(25*6) = x

5 sqrt(6) = x

Answer:

1, 3, 7

Step-by-step explanation:

4t + 6≤10

4t≤4

t≤1

Therefore, t can either be equal to or greater than 1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

7.2 hours

Step-by-step explanation:

24 · 0.3 = 7.2

Answer:

630

Step-by-step explanation:

the value of 7 in the tenths place is 70

the value of 7 in the hundredths place is 700

compare 700 and 70

So 700-70 = 630

Answer:

just move the decimal to the right two place, for two zeroes. The answer is 1490.

Step-by-step explanation: Just simply multiply 14.9 by 100.

Answer:

1490.Step-by-step explanation:multiply 14.9 by 100

Answer:

Step-by-step explanation:

90+31=121

180-121=59

Answer:

a=59

basic fact:

angles on a straight line add up to 180

Step-by-step explanation:

we can ignore b for a start

31+90+a=180

121+a=180

121+59=180

a=59

Answer:

10^3

Step-by-step explanation:

Answer:

10³

Step-by-step explanation:

10 × 10 × 10 = 10³

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:We noted above that a linear function has the form f(x)= mx+b, f ( x) = m x + b, where m m is the slope of the line, and b b is the y y -intercept. Since m m and b b can take on various values

Step-by-step explanation:

Answer:

Step-by-step explanation:

2S₅ - S₅ = 2⁵ - 2⁰

        S₅ = 2⁵ - 1

Sₙ = (bᵃ - 1) / (b - 1)

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]

Step-by-step-explanation:

We have given an expression.

We have to simplify the expression.

The given expression is

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]

Answer:

log14=1.146

log18=1.255

Step-by-step explanation:

Use log rules to break up the given logs, to be able to use the information give

Using the product rule, log14 = log(7 x 2) = log7 + log2

Substitute .845 + .301 = 1.146

Using the quotient rule, log18 = log(2 x 3 x 3) = log2 + log3 + log 3

Substite .301 + .477 + .477 = 1.255

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

Answer: I'd say the best answer is b.

Step-by-step explanation:

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

Answer:

  a) 49

  b) 84

  c) (B) -- always odd

Step-by-step explanation:

We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.

  square tiles = n²

  circular tiles = 4(n +1)

__

7² = 49 square tiles are needed for pattern number 7.

__

4(20+1) = 84 circular tiles are needed for pattern number 20.

__

The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.

When the pattern number is odd, the total number of tiles will always be odd. (B)

Answer:

30/5=68x6=48 feet

Step-by-step explanation:

divide the demesions

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743

the bbc lenth is 19 which i like in my mouth an deven my throayt

Answer:

2.09

Step-by-step explanation:

And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.

Answer:

Plot a graph of the function y = log (x) and move it by 1 unit to the left.

Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.

The coordinates of the intersection of the graphs are the solution.

Solution: x=3

I think this your answer you did not really say your answer?????

Answer:

I do not see that any of your options will work.

Step-by-step explanation:

a) and b) have a false first statement because f(1) = 96, not 12

c) would create the sequence 96, 1152, 13824

d.) would create the sequence 96, 192, 384. 768...

I believe the correct answer would be

f(1) = 96     f(n) = ½f(n-1)  n ≥ 2

which could be either c) or d) if taking potential typographic errors into account. Recording a "2" or "12" where a "½" ought to be.

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify

Answer:

D

Step-by-step explanation:

:)

Answer:

the length of rectangle is 27 in