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kiruha [24]
3 years ago
7

Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown.

Mathematics
1 answer:
marta [7]3 years ago
7 0
The answers is : d
Because 11.5 plus 3.5 would equal 15 and then the approximate length would end up being 14
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Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

4 0
3 years ago
Read 2 more answers
The median number of magazine appearances made by 7 models is 5. The range of number of magazine appearances by those models is
sattari [20]

Answer:not enough information

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
−7y−4x=1 ​7y−2x=53 Solve the system of equations​​
Reptile [31]
-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24 
y=2.21
x=53/2
x=26.5
3 0
3 years ago
(3x + 5y = 7<br> { 4x - y = 5
dalvyx [7]

Answer:

Step-by-step explanation:

Solution by substitution method

3x+5y=7

and 4x-y=5

Suppose,

3x+5y=7→(1)

and 4x-y=5→(2)

Taking equation (2), we have

4x-y=5

⇒y=4x-5→(3)

Putting y=4x-5 in equation (1), we get

3x+5y=7

⇒3x+5(4x-5)=7

⇒3x+20x-25=7

⇒23x-25=7

⇒23x=7+25

⇒23x=32

⇒x=32/23

→(4)

Now, Putting x=32/23

in equation (3), we get

y=4x-5

⇒y=4(32/23)-5

⇒y=(128-115)/23

⇒y=13/23

∴y=13/23   and x=32/23

5 0
2 years ago
Find, leave your answers in terms of pie,
Yuri [45]
Area of square = 10x10
= 100
area of circle = pi(r)^2
= pi (5)^2
=25pi

area of shaded = 100 -25pi

circumference of circle = 2pi (r)
= 2pi(5)
= 10pi

perimeters of shaded = 10pi + 10 + 10
= 10pi +20
8 0
2 years ago
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