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2 years ago

Find the missing side of the right triangle where c is the hypotenuse and a and b are

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

Answer: 10.2

Step-by-step explanation:

b = 15² - 11²

= 225 - 121

= 104

= √104

= 10.2

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What is the center and radius of -10x = -121 - y2 - x2 -22y

OlgaM077 [116]

We need to find the center and the radius of

$-10x\: =\: -121\: -\: y^2\: -\: x^2\: -22y$

The general circle equation is the following

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center and

r is the radius

1. rearrange the equation

$(x^2-10x)+(y^2+22y+121)=0$

2. Add 25 on both sides

$(x^2-10x+25)+(y^2+22y+121)=25$

3. Factor

$(x-5)^2+(y+11)^2=5^2$

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

8 0

8 months ago

HELP PLEASEE i need it

Soloha48 [4]

Answer:

See explanation

Step-by-step explanation:

1st photo:

x = $\sqrt{15}$

$\frac{x}{5} = \frac{3}{x}$

$x^{2}$ = 15

x = $\sqrt{15}$

2nd photo:

(a) GEH ~ FGH ~ FEG

similar triangles, use similar corners in the right order

(b) $\frac{FE}{GE} = \frac{GE}{EH}$ AND $\frac{FH}{GH} = \frac{GH}{HE}$

similar triangles, use similar sides in proportion

3rd photo:

x = 4.5 or 4 1/2

$\frac{x}{3} = \frac{3}{2}$

2x = 9

x = 4.5 or 4 1/2

4th photo:

Length of string = 118.2 ft

sin(40) = 76/x

x = 76/sin(40) = 118.2

7 0

2 years ago

The sum of twelve and a number is no greater than sum of twice the number and -8

Leona [35]

1. Write as an algebraic equation:

12 + n ≤ 2n - 8

2. Solve for n.

12 + n - 12 ≤ 2n - 8 - 12

n ≤ 2n - 20

n - 2n ≤ 2n - 20 - 2n

-n ≤ -20

Multiply both sides by -1 (this means you must flip the inequality sign).

n ≥ 20

FINAL ANSWER: n ≥ 20

Hope this helps! Feel free to ask for clarification.

7 0

2 years ago

A town doubles its size every 8 years. If the population is currently 2,000, what will the

Semmy [17]

Answer:

8,000

Step-by-step explanation:

First there's 2,000 and if they double every 8 years. That means in the first 8 years it will double into 4,000. Lastly, the next 8 years it would double into the population being 8,000.

8 0

2 years ago

During the past semester, Pat's test scores in U.S. history class were 86,76, 82, and 92. What were her mean test scores?

emmasim [6.3K]

the mean is 84. you add all the numbers and divide by 4.

4 0

2 years ago