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Andrews [41]
4 years ago
10

Write the equation of the line perpendicular to 4x – 5y = -10 through the point (2, 3). Write the equation in slope intercept fo

rm.

Mathematics
1 answer:
user100 [1]4 years ago
7 0
I hope this helps you

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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin
Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0
3 years ago
How do you go about doing this surface area problem?
hammer [34]
Break it down into 2-Dimensional shapes. Then add the areas together.

From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²

total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²

For the volume; break it up into 3-dimenssional shapes and add the volumes together.

From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³

Total volume = 384 m³ + 144 m³
= 528 m³
5 0
3 years ago
60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)
ch4aika [34]

Answer:

The answer to your question is:   y ≥ - x + 6  and   y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1                                                  Line 2

A(0, 6)     B (5, 1)                                 C (7,3)               D(5, 1)

m =  (1- 6) / (5- 0)                               m = (1 - 3) / (5 - 7)  

m = -5/5 = -1                                      m = -2 / -2 = 1

Find  the line equation for each slope   (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5)                                 (y - 1) = 1 (x - 5)

y - 1 = -x + 5                                       y -1 = x - 5

y = -x + 5 + 1                                       y = x - 5 + 1

y = -x + 6                                           y = x - 4

Inequality

y ≥ - x + 6                                          y ≥ x - 4

8 0
3 years ago
Calculate 177537+87439-19673​
nadezda [96]

Answer:

See below.

Step-by-step explanation:

Following order of operations:

177537+87439=264976

264976-19673=245303

So, 177537+87439-19673​ is equal to 245303.

-hope it helps

8 0
3 years ago
What is 350X40= SHOW WORK PLZ HELP ME
Tomtit [17]
2
350
x 40
____
000
1400
____
1,400

8 0
4 years ago
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