help me plx can somewon help me

Answer:

[tex]x= \sqrt{503}-3[/tex]

Step-by-step explanation:

Hypotenuse = 32 feet

Short leg = x

Long leg = x+6

We will use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]32^2=x^2+(x+6)^2[/tex]

[tex]1024=x^2+x^2+36+12x[/tex]

[tex]2x^2+12x-988=0[/tex]

[tex]x=-3-\sqrt{503}, \sqrt{503}-3[/tex]

Since the distance cannot be negative

So,[tex]x= \sqrt{503}-3[/tex]

Answer:

37.3

Step-by-step explanation:

If you want to solve it.

Cylineder Formula: Volume = π(radius)²(height)

Isolate height by diving πr² on both sides.

height = (volume/πr²)

height = (300/π(1.6^2))

Answer:

h = 36.2 cm

Step-by-step explanation:

lets make it short and simple

vol of cylinder + volume of hemisphere = 300 cu.cm.

Vc + Vh = 300  --- eq.1

cylinder radius = 1.6 cm.

since it says NOT TO SCALE

let the radius of hemisphere is the same as cylinder.

vol of cylinder = πr²h

vol of hemisphere = 2/3 πr³

using eq.1

πr²h + 2/3 πr³ = 300

π (1.6²) h + 2/3 π (1.6³) = 300

h = 36.2 cm

check:

Vc + Vh = 300

π (1.6²) 36.2 +  2/3 π (1.6³) = 300

300 cu.cm = 300 cu.cm.  ----OK

Answer:

nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding

Step-by-step explanation:

Answer:

g(1)=-72; g(n)=g(n-1)*(1/6)

Step-by-step explanation:

g(1)= -72*(1/6)^(1-1)=-72*(1/6)^0=-72*1=-72

g(2)=-72*(1/6)^(2-1)=-72*(1/6)^1=-72*(1/6)=-12

g(2)=g(1)*(1/6)

g(n)=g(n-1)*(1/6)

Answer:

a - HT = 17

b - ∠T = 62

c - ∠H = 28

Answer:

The conjugate is 2+5i and the product is 29.

Step-by-step explanation:

The conjugate of a complex number [tex]a+bi[/tex] is [tex]a-bi[/tex]

Our complex number is 2-5i.

Here, a = 2 and b = -5

Thus, the conjugate of 2-5i is

[tex]2-(-5i)=2+5i[/tex]

Using this rule:

[tex](a+b)(a-b)=a^{2}-b^{2}[/tex]

And the fact that [tex]i^{2} = -1[/tex]

We can find the product of any complex number and its conjugate:

[tex](a+bi)(a-bi)=a^{2} - (bi)^{2}=a^{2} - b^{2} i^{2} = a^{2} + b^{2}[/tex]

As our complex number is [tex]2-5i[/tex], the product with its conjugate will be

[tex]2^{2} + (-5)^{2} =4+25=29[/tex]

Answer:

d

Step-by-step explanation:

Answer: C) 16

Step-by-step explanation:

A Hexagon has 6 Sides and Since the perimeter is 24, each side has a length of 4.

4 * 4 = 16

Answer: C is your answer.

Step-by-step explanation:

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Hey there!

Well angles like 142 and 2x + 22 equal each other because they are across from each other.

So we can set up the following,

142 = 3x + 22

Single out x

-22 to both sides

120 = 3x

Divide both sides by 3

x = 40

Hope this helps :)

Answer:

x=40

Step-by-step explanation:

142=3x+22

3x+22-22=142-22

3x=120

120/3=40

[tex] \cos(2A)=\cos^2 A-\sin^2A=(\cos A+ \sin A)(\cos A-\sin A)[/tex]

substitute the second term in LHS to get

[tex]{ (\cos A - \sin A)^2 \over \cos(2A))}[/tex]

expand the square, [tex] \frac{1-2\sin A \cos A}{\cos 2A}= \sec2A- \tan 2A[/tex]

([tex] \sin (2\theta)=2 \sin\theta\cos\theta[/tex])

Answer:

Both sides can take the same identity

Step-by-step explanation:

Sec 2A - tan 2A

Express with sin and cos

1/cos (2A) - sin (2A)/cos (2A)

= 1 - sin (2A) / cos (2A)

=

1 - sin (x) = 1-sin (x) = 1 - sin^2 ( x ) / 1 + sin (x)  

=

1 - sin ^2 (x) = cos ^2 (x)  

=cos ^2 (2A) / 1+sin (2A)/Cos (2A)

simplified

cos (2A) / 1+sin 2A

identity x used = cos 2x = cos ^2 x - sin ^2 x

= 1 + sin (2x) + (cos (x)) + (sin (x))^2

= cos ^2A - sin ^2A / (cos A - sin A) ^2

= cos A - sin A / cos A +sin A

Both sides are true.

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

Answer:

here is an example to guide you

Step-by-step explanation:

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh

7.2 x 7.2

A = 51.84 cm²

A = 1/2bh

1/2 x 7.2 x 6

A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

Here

Angle R = Angle T

UR = ST

US = SU

So using RHS conguerence criteria Triangle RSU conguerent to Triangle TUS

Answer:

2 × 5

Step-by-step explanation:

We want to split the number 10 into its prime numbers.

A good way to start is divide the number by 2, if it's even. 10 is even, so we can divide by 2.

[tex]10\div2=5[/tex]

So the current factors are 2 and 5. We would keep going if one of these numbers was composite, but 2 and 5 or both prime numbers, so we can end the factorization here.

Therefore, the prime factorization of 10 is 2 × 5.

Hope this helped!

The prime factorization of 10 is 2 x 5.

Prime factorization is when you figure out the prime numbers that you can multiply together  to get a certain number.

To figure out the prime factors of 10, we begin by dividing it by the lowest prime number, which is 2. Because 10 can be divided evenly by 2, we can say that 10 is equal to 2 multiplied by 5.

The numbers 2 and 5 are special because they can only be divided by 1 and themselves. This makes them prime numbers. The prime factorization of 10 is the result of multiplying the prime factors 2 and 5 together.

Read more about  factorization  here:

https://brainly.com/question/25829061

#SPJ6

Answer:

So, 1 point is on (-4, -3)

Other point is on (-4, -7)

Step-by-step explanation:

Slope = y/x - y1/x1

=> -3 / -4 - ? = 1/3

=> -3 / -4  - 1/3 = ?

=> -3 -1 / -4 - 3

=> -4 / -7

So, -3 / -4 - (-4 / -7)

=> -3 +4 / -4 + 7

=> 1/3

So 1 point is on (-4 , -3)

Other point is on (-4, -7)

Answer:no

Step-by-step explanation:

No

The right question is:

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Answer:

[tex]x = 6[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Required

Solve for x and y

Make y the subject of formula in the second equation

[tex]y = 28 - 5x[/tex]

Substitute [tex]y = 28 - 5x[/tex] in the first equation

[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]

Open the bracket

[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]

[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]

[tex]\frac{x}{2} + 15x = 9+ 84[/tex]

[tex]\frac{x+30x}{2} = 93[/tex]

[tex]\frac{31x}{2} = 93[/tex]

Multiply both sides by 2

[tex]2 * \frac{31x}{2} = 93 * 2[/tex]

[tex]31x = 186[/tex]

Divide both sides by 31

[tex]\frac{31x}{31} = \frac{186}{31}[/tex]

[tex]x = \frac{186}{31}[/tex]

[tex]x = 6[/tex]

Recall that [tex]y = 28 - 5x[/tex]

So;

[tex]y = 28 - 5 * 6[/tex]

[tex]y = 28 - 30[/tex]

[tex]y = -2[/tex]

Hence;

[tex]x = 6[/tex] and [tex]y = -2[/tex]

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

Answer:

B

Step-by-step explanation:

It's domain is side from side and so it can't be c or d. and it range goes to a positive number so it has to be B.

Answer:

0.67

Step-by-step explanation:

We have to find out the exchange rate for pounds to dollars

150 pounds divided by 225 dollars

We get 0.6(6) the 6 in parenthesis for the repeating number.

Since we round to the nearest hundred we get 0.67.

Answer:

61 cubic meters

Step-by-step explanation:

1) Find the volume of the cube where s=4

1a) V= s*s*s

1b) Insert in side length

V=4*4*4

1c) solve

V=64 cubic meters

2) Find volume of 2nd cube by repeating same steps where s=5

2a) V=125 cubic meters

3) Subtract to find difference

3a) 125-64

3b) Solve: 61 cubic meters

Answer:

The cube with meters length of 5 s a bigger mass if the width of both cubes are the same

Step-by-step explanation:

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Answer:

44

Step-by-step explanation:

1/2m-3/4n=16 , m when n=8

1/2m-3/4n=16

1/2m - 3/4(8) = 16

1/2m - (8 x 3)/4 = 16

1/2m - (24/4) = 16

1/2m - 6 = 16

1/2m = 16 + 6

1/2m = 22

m = 22 x 2

m = 44

Answer:

the answer is c

Step-by-step explanation:

convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3

Answer:

C

Step-by-step explanation:

So first, we should probably un-mix those fractions. So, we get:

4/3 x 7/4.

Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

Answer:

Step-by-step explanation:

for each positive integer m, so that la - r2m-ll and la - r2m I are both less than

1 1

Ir2m - r2m-ll .:::: 42(m-l) Ir2 - rll = 24m - 3 ·

It follows that limn--->oo rn = limn--->oo rn-l = a. Taking limits in the recursion in

(d) leads to

1

a=I+--

l+a

which reduces to a 2 = 2. Since rn > 0 for each n, a > O.

Answer:

63

Step-by-step explanation:

becuase when you divide 70 by 10, you will get 7 which then when you mutiply it by 9, you will get 63