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nydimaria [60]
3 years ago
14

A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot, ho

w high does the top of

Mathematics
1 answer:
adell [148]3 years ago
3 0
The correct question is
<span>A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot. </span>How high up the house does the ladder reach?

see the picture attached to better understand the problem

applying the Pythagoras Theorem
15²=4²+h²-----> h²=15²-4²-----> h²=225-16----> h=√209
h=14.46 ft------> h=14.5 ft

the answer is
14.5 ft

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Sequences.
natta225 [31]

Answer:

192.

Step-by-step explanation:

The formula you can write is y=6x, with x being the sequence number and y being the value of that number. Plugging in 32, the 32nd number would be 192.

8 0
2 years ago
Does anyone know the answer??
Likurg_2 [28]

Answer:

0.5401

Step-by-step explanation:

When it has a -1 you are supposed to move the decimal to the left

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4 0
3 years ago
(2,-4) reflected over the line y=-x
MatroZZZ [7]

Answer:

(2,4)

Step-by-step explanation:

that would be the answer because when you reflect it over the Y axis you are making the y turn into a + or - depending on what it already is if y=-4 when you reflect it over the y it would be y=4

6 0
3 years ago
Graph △ABC with vertices A(2, 3), B(−4, −3), and C(2, −3). Find the coordinates of the circumcenter.
Stolb23 [73]
Circumcenter = (-1,0)  
The circumcenter of a triangle is the intersection of the perpendicular bisectors of the sides of the triangle. So let's calculate a couple of the bisectors and determine their intersection. 
 Slope AB = (3 - -3)/(2 - -4) = (3+3)/(2+4) = 6/6 = 1
 Perpendicular bisector will have a slope of -1 and will pass through point ((2-4)/2,(3-3)/2) = -2/2,0/2) = (-1,0)
 Equation is of the form
 y = -x + b
 Substitute known point
 0 = -(-1) + b
 0 = 1 + b
 -1 = b
 So the equation for the perpendicular bisector of AB is
 y = -x - 1 
 Now let's calculate the perpendicular bisector of BC
 Slope BC = (-3 - -3)/(-4 - 2) = (-3 + 3) / (-6) = 0/-6 = 0. This means that the
line is horizontal and that the perpendicular bisector will be a vertical line with infinite slope. A point that line will pass through is ((-4 + 2)/2, (-3 + -3)/2) =
(-2/2, 0/2) = (-1,0). So the equation for the line is:
 x = -1 
 Now we want the intersection between
 x = -1 and y = -x - 1
 Since we know that x has to be -1, just substitute it into the 2nd equation.
 y = -x - 1
 y = -(-1) - 1
 y = 1 - 1
 y = 0
 
 So the circumcenter is (-1,0).
 Let's verify that. The distance from the circumcenter to each vertex of the triangle will be the same. Using the Pythagorean theorem, C^2 = A^2 + B^2. We're not going to bother taking the square root since if the squares are equal, then square roots will also be equal.
 Distance^2 from (2,3):
 (2- -1)^2 + (3-0)^2 = 3^2 + 3^2 = 9 + 9 = 18 
 Distance^2 from (-4,-3):
 (-4 - -1)^2 + (-3 - 0)^2 = -3^2 + -3^2 = 9 + 9 = 18 
 Distance^2 from (2,-3):
 (2 - -1)^2 + (-3 - 0)^2 = 3^2 + -3^2 = 9 + 9 = 18 
 The distances to all three vertexes is identical, so (-1,0) is verified as the circumcenter.
5 0
3 years ago
A bouncy ball is dropped such that the height of its first bounce is 6.5 feet and each
34kurt

Answer:

.3 feet

Step-by-step explanation:

quick math

6.5*75%^10

6 0
2 years ago
Read 2 more answers
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