A 12 _ foot ladder is leaning against a house the ladder reaches 7.7 feet up the wall wha is the angle of elevation of the ladder?

To multiply 64 • 8.32, use the logarithmic equation (2)  log 64 + log 8.32

The product is given as:

64  * 8.32

As a general rule, the product of a and b can be calculated using:

a * b = antilog(log(a) +log(b))

This means that:

64  * 8.32 = antilog(log(64) +log(8.32))

Hence, we make use of the logarithmic equation (2)  log 64 + log 8.32

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Answer:

    6. 1/8

    7. 1/16

    8. 3/16

Step-by-step explanation:

Question 6

Question 7

Question 8

Answer:

0.0000000673

Step-by-step explanation:

7.4*10^-8=0.000000074

6.7*10^-9=0.0000000067

0.000000074-0.0000000067

=0.0000000673=673*10^-10

Answer:

6.73 × [tex]10^{-8}[/tex]

Step-by-step explanation:

7.4 × [tex]10^{-8}[/tex]

6.7 × [tex]10^{-9}[/tex] = 0.67 × [tex]10^{-8}[/tex]

7.4 × [tex]10^{-8}[/tex] - 0.67 × [tex]10^{-8}[/tex] = ( 7.4 - 0.67 ) × [tex]10^{-8}[/tex] = 6.73 × [tex]10^{-8}[/tex]

Answer: (6,-12)

Step-by-step explanation:

For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: The sum of a number and its square is 6. Find the number

Step-by-step explanation:

n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions 

Answer:

n = -3, 2

Step-by-step explanation:

We're given:

Let the number be n.

[tex]n+n^2=6[/tex]

⇒ Move everything to one side of the equation:

[tex]n+n^2-6=0[/tex]

⇒ Organize in [tex]ax^2+bx+c=0[/tex] form:

[tex]n^2+n-6=0[/tex]

⇒ Factor:

[tex]n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0[/tex]

⇒ Use the zero-product property to find n:

[tex]n+3=0\\n=-3[/tex]       or       [tex]n-2=0\\n=2[/tex]

Answer:

the temperature in London would be -1 degrees as 5-6=-1

Answer:

So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.

The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2.  If side AB is the only one that can move then we would just extend that side twice the original length.

The mean and standard deviation for the GPA of the students will be 3 and 0.8165.

The mean simply means the average of a given set of numbers. The mean will be:

= 12/4

= 3

The standard deviation will be:

= ✓2/3

= 0.8165

The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:

= 3.00 - 1.299.l

= 1.70

The interval upper limit will be;

= 3.00 + 1.299

= 4.30

Also, the regression line is Y = -1.2857 + 0.3571x.

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Answer:

transition 1 would be 5 to the right

transition 2 would be 1 down

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

you'll get a 75%

Step-by-step explanation:

all you have to do is

divide 679/901

and you get 0.75%

Answer:

8y4 is not a perfect square.

Step-by-step explanation:

Knowing that; A difference of two perfect squares,  A2 - B2  can also be factored into  (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25  is the square of  5

8 is not a square

Answer:

10 inches

Step-by-step explanation:

2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!

Answer:

thank youuu

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

the first number of a exponential function is the y intercept when x = 0,

so we now the number will be 5 leaving only answers c or d

the easiest way see which one is correct is by inputting the numbers for x to find y so...

c) 5 x 2^1 = 5 x 2 = 10 so x = 1 than y = 10

d) 5 x 1/2^1 = 5 x 1/2 = 2.5 so x = 1 than y = 2.5

the table states that y = 10 when x = 1 making c correct

AND WELCOME TO BRAINLY!

Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

Answer:

[tex]S_6=189[/tex]

Step-by-step explanation:

This is a geometric series with [tex]a_1=3[/tex] and common ratio [tex]r=2[/tex]. Using the formula [tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}[/tex] to find the sum of the first [tex]n=6[/tex] terms, we have:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_6=\frac{3(1-2^6)}{1-2}\\\\S_6=\frac{3(1-64)}{-1}\\\\S_6=\frac{3(-63)}{-1}\\\\S_6=\frac{-189}{-1}\\\\S_6=189[/tex]

So, the given series works out to be [tex]S_6=189[/tex].

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

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Answer:

D.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

the sum of the two rounded is 3

her answer of 2.4 rounds to 2, not 3

so her answer is not reasonable

Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

Answer:

712

Step-by-step explanation:

2 + 3 = 5 + 5 = 10 + 7 = 17 + 11 = 28 + 13 = 41 + 17 = 58 + 19 = 77 + 23 = 100 + 29 = 129 + 31 = 160 + 37 = 197 + 41 = 238 + 43 = 281 + 47 = 328 + 53 = 381 + 59 = 450 + 61 = 511 + 67 = 578 + 71 = 649 + 73 = 712

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Answer:

[tex]\sf x=4[/tex]

Step-by-step explanation:

[tex]\sf 5 - 3(2x - 7)=12 - 5(x - 2)[/tex]

To get rid of the parentheses, we'll apply the distributive property. Staring with the left side, multiply -3 by (2x-7).

[tex]\sf 5 - 6x+21=12 - 5(x - 2)[/tex]

5+ 21= 26

[tex]\sf 26 - 6x=12 - 5(x - 2)[/tex]

Now, let's do the same thing to the right side. Multiply -5 by (x-2) »12−5x+10, than add 12+ 10 = 22 .

[tex]\sf 26 - 6x=22 - 5x[/tex]

Combine like terms.

[tex]\sf 26 - x=22[/tex]

Subtract 26 from both sides.

[tex] \sf - x= - 4[/tex]

Multiply both sides by -1.

[tex]\sf x=4[/tex]

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

A normally distributed data set has a mean of 0 and a standard deviation of 2.

[tex]Z=(x-\mu)/\sigma[/tex]

[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]

[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)

=.49865+.3413

.83995…….(by (http://83995…….by) table value)

=.8400 × 100

=84%

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Answer:

(negatively proximity is (31 + 1r¼)car bite

Step-by-step explanation:

Hope it helps

Answer:

Kayla gets $0.77 back, Heidi gets $9.02 back

Step-by-step explanation:

12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)

20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)

By taking the product between the rate and the time, we will see that he does not finish the book.

We know that he can read 5 pages in 15 minutes. Then in one hour he can read 4 times that: 4*5 pages = 20 pages.

We conclude that Carter reads 20 pages per day, then, if he reads for 14 hours, then he reads a total of:

20*14 = 280

So he will read 280 pages in these 14 hours, which means that he will not finish the book.

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