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Answer:

using formula:

a^2+b^2=c^2

54^2+x^2=90^2

2916+x^2=8100

x^2=8100-2916

x=[tex]\sqrt{5184}[/tex]

x=72 m

Step-by-step explanation:

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

Answer:

51

Step-by-step explanation:

Parenthesis exponents multiplication division addition subtraction

(8+5x9)-2

(8+45)-2

53-2

51

Answer:

Length of shortcut  = 15 km

Step-by-step explanation:

Given that;

Length of shortcut is equal to square root of the sum of the squares of the other two sides.

So,

We can find length of shortcut.

Assume:

Length of other two side area 12 km and 13 km

So,

H = √P² + B²

Length of shortcut  = √12² + 13²

Length of shortcut  = √144 + 169

Length of shortcut  = √225

Length of shortcut  = 15 km

Answer:

let us consider a positive integer a

divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.

where =0,1,2,3

case 1:consider r=0

equation (1)becomes

on squaring both the side

where m=3b²+4b+1

: square of any positive integer is of the form 3M or 3M + 1

: hence proved.

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.

Answer:

I don't know

Step-by-step explanation:

Sorry

Answer:

Just at a glance I'm pretty sure it would be B.

Answer:

10

Step-by-step explanation:

2x2=4

1x2=2

2x2=4

4+2+4=10

write this down if u need to show work

Answer:

x = 27.6907 units

Step-by-step explanation:

cos (62) = 13/x

x cos (62) =13

13 / cos(62)=x

x is 27.6907 units

Answer:

THE ANSWER IS 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

hope this helped

Answer:

-5

Step-by-step explanation:

x=-3-2

x=-5

+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-

Answer:

Yes, they are equal

Step-by-step explanation:

To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.

In this case, 10*4 = 40

20*2 = 40

Answer:

Use the ratio of corresponding sides of similar triangles.

#1

#2

#3

#4

Answer:

41

Step-by-step explanation:

because that is the only number that does not have any factors

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

Answer:

c

Step-by-step explanation:

distance between town X and Z = 57 MILES

distance between y and z = 28 miles

distance from x to y = 57 - 28 = 29 miles

please check the attached image for a diagram that would help better understand the question

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

Answer:

I think it's 27 by adding the sides

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

Answer: B

Step-by-step explanation

p^2+q, use p=5 and q= -3

All you have to do for this problem is fill in for p and q.

5^2+-3 = 22

Answer:

B) 22

Step-by-step explanation:

Plugging in the values we can solve the equation:

(5)^2 + (-3)

25 + (-3)  -- Evatuate exponents first

25 - 3 = 22 -- Simplify to receive answer

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Step-by-step explanation:

Here batting average is 17.9% = 0.179

In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest

9514 1404 393

Answer:

  ₹ 30000

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . . principal P invested at rate r for t years

Fill in the values you know, and solve for the one you don't know.

  9000 = P(0.06)(5)

  9000/0.30 = P = 30000

The principal that will give ₹9000 in interest is ₹30000.

A =?

P= 9000

t = 5 yrs

r = 6% = 0.06

A = p(1+r)^t

A = 9000(1+0.06)⁵

A = 9000× 1.338

A = 12044 Rs.

Answer:

x = 8

Step-by-step explanation:

These are corresponding so they are congruent.

Your equation is: 14x-4=12x+12

x=8

Step-by-step explanation:

these numbers are corresponding angle to each other

so =>14x–4=12x+12

14x–4=12x+12collect like terms

=>14x–12x=12+4

=>2x=16 divide both side by 2 you get

=>x=8

Answer:

405 cycles

Step-by-step explanation:

We have the equation:

y = 6*sin(324*π*t)

For the properties of the sin function, we know that the period is 2π.

So between:

Sin(x) and Sin(x + 2*pi)

we have a cycle.

between:

Sin(x) and Sin(x + 6*pi)

we have 3 cycles.

and so on.

Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds

Between these times, the difference in the argument of the sin function is:

324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5

Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5

That number is just the quotient between 324*π*2.5 and 2*π

N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405

There are 405 cycles between 3 seconds and 5.5 seconds.

Answer: y = -x-8

Step-by-step explanation:

(-3,-5) (-5,-3)

Slope (m) = (y-y)/(x-x) = (-3- -5)/(-5- -3) = (-3+5)/(-5+3) = 2/- 2 = - 1

m = - 1

Point (-3,-5)

y-y=m(x-x)

y- -5= -1(x- -3) = y+5 = -1(x+3)

y+5 = - x -3

y+5= - x - 3 (substract 5 from both sides)

y = - x - 8