from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building​

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

→

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

Answer:

If you talking about how many blocks she needs to walk, the answer is simple: 5 + 2 = 7

But if you use blocks as a sort of lenght measurement system, it's

[tex] \sqrt{7 {}^{2} + 5 ^{2} } [/tex]

Step-by-step explanation:

-6 / 24/3

= -6 x 3/24

= -18/24

= -6/8

= -3/4

Answer:

x(12y+4)

Step-by-step explanation:

You can download answer here

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

Answer:

21.0.26

22. 0.9

23.0.30

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Answer:

7

Step-by-step explanation:

Answer:

Look at the other question i answered it for you

Step-by-step explanation:

Answer i cant read it..

Step-by-step explanation:

Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

Answer:

(h+63)

Step-by-step explanation:

Given that,

Isabella has 63 hair bows.

Isabella's sister has h more hair bows than Isabella. It means,

Isabella's sister = h+63

h and 63 are added as Isabella's sister has h more hair bows than Isabella.

Hence, the expression would be (h+63).

Answer:

#171  -[tex]\frac{39}{4}[/tex]·a - [tex]\frac{53}{5}[/tex]

Step-by-step explanation:

after distributing:

-10a - 21/2 + 1/4a - 1/10 =

-39a/4 + (-105/10 - 1/10) =

-39a/4 - 106/10

Answer:

Distance travelled = 91.61 feet

Step-by-step explanation:

Given the following data;

Diameter, d = 35 inches

Number of revolutions = 10 Rev

To find the distance travelled by the bike;

First of all, we would determine the circumference of the bike's tire, which is circular in shape.

Circumference of circle = πd

Circumference of circle = 35π

Next, we multiply by the number of revolutions to get the distance travelled.

Distance travelled = 35π * 10

Distance travelled = 350π inches

But pie, π = 3.142

Distance travelled = 350 * 3.142

Distance travelled = 1099.7 inches.

In feet;

1 inches = 0.0833 feet

1099.7 inches = x feet

Cross-multiplying, we have;

x feet = 1099.7 * 0.0833

x feet = 91.61 feet

Distance travelled = 91.61 feet

Answer:

21

Step-by-step explanation:

Dr James ordered 56 pizzas for the teachers.

Of the pizzas ordered, 2/7 of them were pepperoni,

Number that were pepperoni = 2/7 × 56 pizzas

= 16 pizzas were pepperoni

19 were cheese , and the rest were veggie pizzas.

How many of the slices were veggie?

The number of veggie slices is calculated as:

Veggie slices = Total number of pizzas - ( Number of Pepperoni + Number of Cheese)

= 56 - ( 16 + 19)

= 56 - 35

= 21

The number of veggies is 21

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

[tex]\cos(\theta) = -\frac{1}{2}[/tex]

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]

Divide both sides by -1

[tex]\cos(\alpha)= \frac{1}{2}[/tex]

Take arccos of both sides

[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

Read more at:

https://brainly.com/question/11907132

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = [tex]\frac{1}{3}[/tex] x - 3 ← equation of line

Answer:

y = 18.4

Step-by-step explanation:

[tex]12^{2} + 14^{2} = y^{2}[/tex]

144 + 196 = [tex]y^{2}[/tex]

340 = [tex]y^{2}[/tex]

y = [tex]\sqrt{340}[/tex]

y = 18.4 (to 3 significant figures)

Given:

A figure of a triangle.

To find:

The value of g.

Solution:

Law of Cosines:

[tex]a^2=b^2+c^2-2bccosA[/tex]

Using the Law of Cosines for the given triangle, we get

[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]

[tex]g^2=64+49-112(0.4226)[/tex]

[tex]g^2=113-47.3312[/tex]

[tex]g^2=65.6688[/tex]

Taking square root on both sides.

[tex]g=\sqrt{65.6688}[/tex]

[tex]g=8.10363[/tex]

[tex]g\approx 8.10[/tex]

Therefore, the value of g is about 8.10 units.

26

Step-by-step explanation:

3x + 2x = 50 = 180

5x = 130

x = 26

Answer: 12.6 would be the answer

Step-by-step explanation:

Answer:

B) 6.3 m

Step-by-step explanation:

Answer:

48 drops of red food coloring

Step-by-step explanation:

32/8 = 4

SO she uses 4x as much yellow food coloring meaning you need to use 4x as much red food coloring.

4 x 12 = 48 so she needs to add 48 drops of red food coloring

Answer:

Mya will need 48 drops of red food coloring

Answer:

steps below

Step-by-step explanation:

x²/16 + y²/36= 1

x²/4² + y²/6²= 1

Eclipse center ed origin: standard formula  

²/radius of minor axis + y²/ radius of major axis =1

Vertices of major axis: (6 , 0) and (-6 , 0) ... horizontal

vertices of minor axis: (0 , 2) and (0 , -2)  ... vertical