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Answer:

x = 2√2

y = 2√6

Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

(blue triangle = red triangle)

⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

⇒ 4² + (2√2)² = y²

⇒ y² = 24

⇒ y = √24

⇒ y = 2√6

Answer:

n-6

Let n represent the number

Answer:

X - 6

Step-by-step explanation:

X is a number

Answer:

a b c d

Step-by-step explanation:

Answer:

$4.14

Step-by-step explanation:

To find the unit price, we divide $24.81 by 6.

24.81/6 = 4.135

The question says to round to the nearest cent so we round it to 4.14.

4.135 = 4.14

Answer:

I think plan b

Step-by-step explanation:

It starts at 1.5% and increases by 8.5% every year.

Please let me know if this is wrong!

Have an amazing day!

PLS MARK BRAINLIEST!

Answer:

C

Step-by-step explanation:

Seems right also pls try this move if you are sure of the answer close your eyes and see what answer pulls you in

Answer:

6.8

Step-by-step explanation:

8÷3+7.5+3=8.0.hence 5× 5×1=5+3=8÷3+7.5+-3×1=-3+6=3. 5+8+7.5+-3+3=6.8.

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{x+1}{x+3}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(x + 1) = 3(x + 3) ← distribute parenthesis on both sides

5x + 5 = 3x + 9 ( subtract 3x from both sides )

2x + 5 = 9 ( subtract 5 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Step-by-step explanation:

You and four friends = 5 people

To see how much one ticket costs we have to divide the total amount spent by the number of people who bought tickets.

Total amount spent: $110

People who bought tickets:5

110÷5=22

Each ticket cost $22

Answer:

$110÷5

=$22

therefore each ticket costs $22

Answer:

f(x) = x(x + 2)(x + 9)(x - 8)²

Step-by-step explanation:

Given x = h is a zero of f(x) then (x - h) is a factor

If h has multiplicity 2 then the factor is squared , that is (x - h)²

here the zeros are x = 8 of multiplicity 2 , x = - 2, x = - 9, x = 0

then (x - 8)² , (x - (- 2)) , (x - (- 9)) , x - 0 are the factors, that is

(x - 8)² , (x + 2) , (x + 9) and x

f(x) = x(x + 2)(x + 9)(x - 8)² ← in factored form

Answer:

A polyhedron is a 3-dimensional solid made by joining together polygons. The word 'polyhedron' comes from two Greek words, poly meaning many, and hedron referring to surface. The polyhedrons are defined by the number of faces it has.

Step-by-step explanation:

Answer:

64.4

Step-by-step explanation:

In one of the trig formulas, it states    sin <a/A = sin<b/B = sin<c/C

So we have in this case:

sin(70)/12 = sin x/14           Note: x is just a variable for the angle <ABC

14(sin70)/12 = sin x

sin^-1(14(sin70)/12) = x

x=64.4

Your welcome, and comment if you have any questions! :D

The domain of the function shown in the graph are all real numbers. Therefore, option C is the correct answer.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The coordinate points from the given graph are (-2, 0) and (10, 6).

Here, slope m=(6-0)/(10+2)

= 6/12

= 1/2

= 0.5

Substitute m=0.5 and (x, y)=(-2, 0) in y=mx+c, we get

0=0.5(-2)+c

0=-1+c

c=1

So, equation of a line is y=0.5x+1

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Therefore, option C is the correct answer.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ7

Answer: am I don't know sorry i really need the points but i thing 3 can go in 8 1 time 0.38

Step-by-step explanation:

Answer:

  $75.62

Step-by-step explanation:

Assuming exact interest is computed on each bond, interest will have accrued for 92 of 365 days between payments. The interest due on each bond is ...

  (92/365)($300) ≈ $75.62

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

Given the following question:

[tex]-17 < 3-5x[/tex]

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.

[tex]-17 < 3-5x[/tex]
[tex]-17 < 3-5x=3-5x > -17[/tex]
[tex]3-5x > -17[/tex]
[tex]3-3=0[/tex]
[tex]-17--3=-20[/tex]
[tex]5x=-20[/tex]
[tex]\frac{5x}{5}=x[/tex]
[tex]20\div5=-4[/tex]
[tex]x < 4[/tex]

When plotting inequalities on the number line keep a few things in mind:

. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.

Answer:

4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Connect G and D

In ΔGDE, angle ∠GED  = 148/2 = 74°

Radius DE = 18/tan(74) = 5.2

Answer:

[tex]x=\frac{83}{8}\text{ or}\ 10.375[/tex]

Step-by-step explanation:

Start by combining like terms:

[tex]5x+3x=83[/tex]

[tex]8x=83[/tex]

Divide both sides by 8

[tex]x=\frac{83}{8}[/tex]

Answer:

$27

Step-by-step explanation:

$45 - $18 = $27

Percentage 150% (27 divided by 18 = 1.5, shift the decimal right two times and add the zero at the end which gives you 150%)

Answer:

it must be 1,2 and (3 if you don't include one)

Answer:

The set of numbers a = 3, b = 6, and c = 9 proves the hypothesis because 3 is a factor of 6 and 3 is a factor of 9. Property 1 states that therefore 3 is a factor of 9 + 3 =12, which we know is true because 3 × 4=12. You can prove that this property is true for all integers if you know what the term factor means.

Hi There!

The smallest 5-digit number is

[tex]\huge\text{10,000}[/tex]

Hope it helps!

Have an awesome day!

[tex]\huge\text{TheStarryNights :D}[/tex]

The resulting equation will be x + y = 4 and 4y =20

GIven the system of equation given as:

x + y = 4

-3x + y = 8

If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:

3x  + 3y = 12

-3x + y = 8

Adding both equation

3y + y = 12 + 8

4y = 20

Hence the resulting equation will be x + y = 4 and 4y =20

Learn more on the system of equation here: https://brainly.com/question/13729904

Answer:

16 and 125

Step-by-step explanation:

-2*-2 = 4

4*-2 = -8

-8*-2 = 16

5*5 = 25

25*5 = 125

Answer: 165 cm^3

Step-by-step explanation:

Formula:

V = (4/3)π r^3

Knowns:

r = 3.4

Work:

- (4/3)π 3.4^3 ≈ 164.64 cm^3

- Now, round .6 to a 1 because it is >4, this turns 164.64 cm^3 into 165 cm^3

Answer:

165 cm^3