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Lorico [155]
3 years ago
8

How you do you solve for it??

Mathematics
1 answer:
AysviL [449]3 years ago
6 0
Sam is dead, im sorry to have to tell you over line, i love you mom
With love,
                 Mike 

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In triangle △ABC, ∠ABC=90°,
makvit [3.9K]
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>

==============================================

Work Shown:

Let x = HC and y = BH

AH = 12-x since AH = 12-HC and x = HC

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

See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible

HC/BH = BH/AH

x/y = y/(12-x) ... substitution

x(12-x) = y^2 ... cross multiply

y^2 = -x^2+12x

note how I isolated y^2 instead of y. We will use this equation later.

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

Focus on triangle AHB. Use the pythagorean theorem

(BH)^2 + (AH)^2 = (AB)^2

(y)^2 + (12-x)^2 = (9)^2

y^2 + 144-24x+x^2 = 81

-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x

-x^2+12x + 144-24x+x^2-81 = 0

-12x + 63 = 0

-12x = -63

x = -63/(-12)

x = 5.25 <<-- answer in decimal form

x = 5 + 0.25

x = 5 + 1/4

x = 20/4 + 1/4

x = 21/4 <<-- answer as a fraction

3 0
3 years ago
Plz help;..........................
shtirl [24]
Are you in kindergarten
divide 10x^3 by 5x to get 2x^2 and then divide -25x by 5x to get -5

Answer is 2x^2-5
Choice #1
4 0
3 years ago
Solving this system using substitution: 2x+6y=28/y=-5x
AnnyKZ [126]
X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5
7 0
2 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
DochEvi [55]
1. Find the surface area of the rectangular prism. (1 point) 
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>

<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>

<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>


<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>

<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>


<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
4 0
3 years ago
Read 2 more answers
What is the value of<br> 4x3 + 4x when x = 4?
svetlana [45]

Answer:

yes this is the right answer is 4X

8 0
2 years ago
Read 2 more answers
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