One of the legs of a right triangle measures 4 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer:

The solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Step-by-step explanation:

Given the equation

[tex]6x-0.2x^2=0[/tex]

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]

solving

[tex]0.2x-6=0[/tex]

Multiply both sides by 10

[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]

Refine

[tex]2x-60=0[/tex]

Add 60 to  both sides

[tex]2x-60+60=0+60[/tex]

Simplify

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

Thus, the solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Answer:

13cm

Step-by-step explanation:

29x2=58

84-58=26

26÷2=13

Answer:

5h+11

Step-by-step explanation:

You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation

Answer:

Scale factor 2.5, Center of dilation is (-8,3)

Step-by-step explanation:

A dilation is a non rigid transformation. We know that a center of a transformation expect translations mean that it dont matter what change we do to the the pre image to get the new image. The center will stay where it was at all times. Looking at the figure, between the pre image and new image the only point that stays is Point K and point K' . so K is the center of the dilation and that at (-8,3).. Since the pre image is smaller than the new image we know the image scale factor is greater than 1 so the scale factor is expanding. To find the scale let look point K and L we need to find how far are they away from each other and which in this case is 4. Now let look at point K' and Point L'. There distances is 10. You can do the same for K and J. K and J distance is 2 units right and 4 units down. K' and J' distance is 5 units right and 10 units down.

Using this let set a proportion of one point from bigger figure to smaller figure. Distance in current image/ Distance in pre image. Let use K and J so it will be 10/4=2.5 so the scale factor is 2.5

Answer:

the first one

Step-by-step explanation:

Answer:

area of rectangle=7×5=35cm²

area of triangle=1/2×4×3=6cm²

Step-by-step explanation:

area of figure=35+6=41 cm²

Answer:

garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer

Answer:

[tex]40\%[/tex]

[tex] \frac{18}{45} \times 100[/tex]

[tex] \frac{18}{9} \times 20[/tex]

[tex]2 \times 20[/tex]

[tex] = 40[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you \: [/tex]

Answer:

12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so..  144 + 1225 = 1369. SO 12 would fit!

Answer:

the speed is about 10 inches per minute

Step-by-step explanation:

Or you could say 1/6th Inch per second

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

[tex]x=\frac{1}{4}[/tex]

Answer:

50

Step-by-step explanation:

The correct answer is 50

Answer:

Infinitely Many Solutions

Step-by-step explanation:

-3x+y=-9

3x-y=9

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

0=0

Answer:

5

Step-by-step explanation:

collect like terms

w<4+1

w<5

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Answer:

((36 × 2 ÷ 3) - 12) × 2 = 24

Step-by-step explanation:

(36 × 2 ÷ 3 ÷ 12) - 2 = 0

((36 × 2 ÷ 3) - 12) × 2 = 24

Answer:

C= 20-3g

Step-by-step explanation:

Given data

Mr. Bolden bought g guppies at a pet store for $3.00 each

cost = 3g

We are also given that the money paid is $20

Therefore let the change be c

The expression for his change is

[tex]C= 20-3g[/tex]

Answer:

B x=14

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Firstly, since they worked 18 hours over 3 days, they worked a total of 6 hours each day. Since Malik worked 2 fewer hours than Tasha, we have that Tasha worked (6+2)/2 = 4 hours each day and Malik worked 2 hours each day.

Answer:

15 g/L

Step-by-step explanation:

Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t

Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.

Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)

dividing through by 25, we have

C(t) = 375t/25/(3000/25 + 25t/25)

C(t) = 15t/(120 + t)

To find the limit as t ⇒ ∞, we divide C(t) by t

C(t) = 15t/t/(120/t + 1)

C(t) = 15/(120/t + 1)

putting t = ∞, we have

C(∞) = 15/(120/∞ + 1)

C(∞) = 15/(0 + 1)

C(∞) = 15/1

C(∞) = 15 g/L

So, as t  t → [infinity], the concentration approaches 15 g/L

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

Answer:

8 4/7

Step-by-step explanation:

the 4/7 is the fraction

Answer:

i dont know lol

Step-by-step explanation:

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Answer:

57

Step-by-step explanation:

(62+5-3)+(2-9)

(67-3)+(-7)

64-7

= 57

Step-by-step explanation:

im learning this too and I dont get it at all but use A app called Math. way

Answer:

3 =x 5 = y

Step-by-step explanation:

Using statistics shown you can infer that -2y + 12 = x

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = [tex]10\dfrac12[/tex] inches  = [tex]\dfrac{21}{2}[/tex] inches

Length of each sticker = [tex]\dfrac34[/tex] inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = [tex]\text{(Length of spine)}\div (\text{Length of each sticker})[/tex]

[tex]=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14[/tex]

The number of stickers she used to cover the length of the spine = 14.

Answer: yo we have a problem

Step-by-step explanation:

im in 10th grade and i cant answer this problem 0.0