On a scale drawing of a building, 1 inch represents 14 feet. If the height of the actual building is 49 feet, what is the height of the drawing?

enter the answer in the text box below

____ in.

Rewrite the limand as

(1 - sin(x)) / cot²(x) = (1 - sin(x)) / (cos²(x) / sin²(x))

… = ((1 - sin(x)) sin²(x)) / cos²(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

Then

(1 - sin(x)) / cot²(x) = ((1 - sin(x)) sin²(x)) / (1 - sin²(x))

Factorize the denominator; it's a difference of squares, so

1 - sin²(x) = (1 - sin(x)) (1 + sin(x))

Cancel the common factor of 1 - sin(x) in the numerator and denominator:

(1 - sin(x)) / cot²(x) = sin²(x) / (1 + sin(x))

Now the limand is continuous at x = π/2, so

[tex]\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}[/tex]

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!

Answer:

(2x + 40) - 2

(x ÷ 5) - 14

(x ÷ 2) - 18

(x + 3) + 9

3x + 12

(x ÷ 2 + 3) + 12

4 * 2x or 8x

(x ÷ 3) - 5

3x + 5

6x - 13

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal. or

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Answer:

1) (2x + 40) - 2

2) (x ÷ 5) - 14

3) (x ÷ 2) - 18

4) (x + 3) + 9

5) 3x + 12

6) (x ÷ 2 + 3) + 12

7) 4 * 2x or 8x

8) (x ÷ 3) - 5

9) 3x + 5

10) 6x - 13

Step-by-step explanation:

Answer:

A or B , whether it is dotted or straight line dunno

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210

Answer:

i need to know what the answer is to solve for m

Step-by-step explanation:

Answer:

Need picture please

Step-by-step explanation:

Answer: 15 inches

Step-by-step explanation:if 6 units is 10 cm than half of that is 5 so add those together and BOOMM 15 ur welcome

Answer:

do 62.31/3 which is 20.77 so 1 shirt cost 20.77

now do 20.77+3.66 which is 24.43

so the answer is C. $24.43

Step-by-step explanation:

what is the question asking

Answer:

1/2 I think

Step-by-step explanation:

9 3/8 becomes 8 11/8- 8 7/8= 4/8= 1/2

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]9\frac{3}{8} -8\frac{7}{8}[/tex]

Let's convert these to improper. To do this, we will multiply the denominator by the whole number and then add the numerator. The denominator will remain the same. We are just changing the numerator.[tex]9\frac{3}{8} =\frac{(8*9)+3}{8} =\frac{72+3}{8}= \frac{75}{8}\\8\frac{7}{8} =\frac{(8*8)+7}{8} =\frac{64+7}{8}= \frac{71}{8}[/tex]

Let's subtract:

[tex]\frac{75}{8} -\frac{71}{8} \\\\\frac{4}{8}[/tex]

[tex]\frac{4}{8}[/tex] can be reduced to [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

b

0.6p is the expression represents the price of the suitcase with the discount

To learn more about discount, refer to https://brainly.com/question/1548141

#SPJ1

Answer:

Step-by-step explanation:

Area of two parallelograms = 3⅐ = 22/7

Area of one parallelogram = 11/7

Height = 1 2/7 = 9/7

base of one parallelogram = (11/7)/(9/7) = 11/9 yards

Answer:

b = 11/9 = 1 2/9

Step-by-step explanation:

A=bh

1.2(3 1/7)=b(1 2/7)

(1/2(22/7))/9/7=b

(11/7)/9/7=b

11/7x7/9=b

11/9=b

b= 1 2/9

Answer:

Step-by-step explanation:

To eliminate the x terms, first multiply the second equation by 3:

-3x + 6y = 24

then add it to the first equation:

3x + 5y = -2

-3x + 6y = 24

------------------

0x + 11y = 22

y = 2

plug the value of y into one of the equations:

-x + 2(2) = 8

x = 4-8 = -4

(x,y) = (-4, 2)

Answer:

the answer is d (x+4)^2/9 - (y-1)^2/25

Step-by-step explanation:

its correct on edge

The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

25x² +200x - 9y² +18y = -166

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

25(x² +8x) - 9 (y² +2y) = -166

Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

25(x² +8x + 16)-9(y²+2y +1) = -166+400-9

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

25(x+4)² - 9 (y+1)²= 225

Now, finally, we will divide both sides by 225 to get this conic into the standard form:

[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Answer: 46,600

Step-by-step explanation:

Answer:

3 1/3 is your answer.

Step-by-step explanation:

Rewriting equation:

4 + 5/6 - 1 - 1/2

4 - 1 = 3

5/6 - 1/2 = ?

Find the LCD of 5/6 and 1/2 and rewrite to solve.

5/6 - 3/6 = 2/6

2/6 = 1/3

3 + 1/3 = 3 1/3

Whole number: 3

numerator: 1

denominator: 3

Answer:

3 1/3 is the Answer to the problem

Answer:6.5

Step-by-step explanation:trust me

Step-by-step explanation:

the answer will be 3/5 hope it helps

Answer:

3/5

Step-by-step explanation:

It is like addition, 1 + 1 + 1 which equals to 3.

Answer:

$245

Step-by-step explanation:

Step-by-step explanation:

Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.

35*2=x / 3*2+1/2

Multiply 35 and 2 to get 70.

70=x / 3*2+1/2

Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.

70=x*2/3*2+1

Multiply 3 and 2 to get 6.

70=x*2/6+1

Add 6 and 1 to get 7.

70=x*2/7

Swap sides so that all variable terms are on the left-hand side.

x*2/7=70

Multiply both sides by 7.

x*2=70*7

Multiply 70 and 7 to get 490.

x*2=490

Divide both sides by 2.

x=490/2

Divide 490 by 2 to get 245.

x=245

Height of prism is 20 cm

Given that;

Volume of rectangular prism = 1620 cm³

Length = 9 cm

Width = 9 cm

Find:

Height of prism

Computation:

Volume of rectangular prism = (l)(b)(h)

So,

(9)(9)(h) = 1620

(81)(h) = 1620

h = 20

Height of prism = 20 cm

Find out more information about 'Prism':

https://brainly.com/question/8847870?referrer=searchResults

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

Answer:

5440

Step-by-step explanation:

85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440

Answer:

5,440

Step-by-step explanation:

85+85

170+170

340+340

680+680

1360+1360

2720+2720

double it 6 times

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7

Answer:

the answer is b

Step-by-step explanation:

brainliest pleasee?