Which table is y a function of x?

9514 1404 393

Answer:

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.

The triangle sides are ...

  4 ft : 4√3 ft : 8 ft

The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.

Answer:

45

Step-by-step explanation:

The area covered by the roof would be 84.5 square yards.

To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;

That is ;

Area = 2(length×width)

= 2(6.5×6.5)

= 2(42.25)

= 84.5 yards²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Answer:

lower limit = 5

upper limit = 10

class mark = lower limit + upper limit ÷ 2 = 7.5

class size = upper limit - lower limit

= 10-5 = 5

Step-by-step explanation:

I hope this help you have an great day and safe health

Answer:

number of black pencils is 17

Answer:

y = 4x - 8

Step-by-step explanation:

y = 4x + b

4 = 4(3) + b

4 = 12 + b

-8 = b

Answer:

MO= 5x +3

NO= 6x

MN= ( collect light terms) 5x+ 6x = 11x +3

ans= 11x+3

If points {M,N,O} are collinear, and N is between M and O, then this would allow us to use the segment addition postulate like this:

MO = MN + NO

MN = MO - NO

MN = (5x+3) - (6x)

MN = (5x-6x) + 3

MN = -x + 3

Answer:  -x+3

Answer:

4.5

Step-by-step explanation:

let,

k×9²=300

k = 300/81

or, k = 100/27

as two triangles are similar,

if smaller triangle's corresponding side is x (let), then,

kx²=75

100x²/27=75

x²=75×27/100

x=√81/4

x=9/2

x=4.5

Answer:

A is the answer I pretty sure

Answer:

i think the answer is 502 m2

Answer:

The last option

Step-by-step explanation:

In order for the graph to be a function it has to pass the vertical line test. If you draw a vertical line through the graph and it only intersects at one point then it is a function.

Answer:

circumference = 25.12 yards

area = 50.24 yards squared or yd^2

Step-by-step explanation:

circumference = pi * d

3.14 * 8 =

25.12

area = pi* r^2

r = 1/2 of d = 4

area = pi * 16

3.14 * 16 =

50.24

Answer:

Area: 50.24yds^2            Circumference: 25.12yds

Step-by-step explanation:

Area: The formula for area of a circle is a = πr^2.

The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:

A = (3.14)(4)^2

A = (3.14)(16)

A = 50.24yds

Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.

C = 2(3.14)(4)

C = 25.12yds

Hope this helps

Hey there!

At first, Josh has 30 keys.

Then, he loses 3 keys.

30 keys - 3 keys = 27 keys

After that, Josh finds 7 keys.

27 keys + 7 keys = 34 keys

Josh will have a total of 34 keys.

Hope this helps! Have a great day!

Answer:

CIRCUMFERENCE OF CIRCLE IS 2πr.

=2*3.14*6mi=results be the Answar

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                 [tex]\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]

Answer: 3f

Step-by-step explanation:

Answer: [tex]100.544\ in.^3[/tex]

Step-by-step explanation:

Given

Diameter of the cone [tex]d=8\ in.[/tex]

Height of the cone [tex]h=6\ in.[/tex]

Volume of the Cone is given by

[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]

[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]

The volume of the cone is [tex]100.544\ in.^3[/tex]

Step-by-step explanation:

C1:

The pattern for this: you add 1/2 every time.

C2:

3, 3 1/2, 4, 4 1/2

C3:

5 1/2

C4:

The 14th

C5:

10

D1:

You add twice as more than you did before, starting at 3.

D2:

48, 96, 192, 384

D3:

192

D4:

The 9th

D5:

384

Hope this all helps.

Answer:

C)

1) As the sequence progresses, each term in the sequence increases by 1/2.    2) 3 ; 3 1/2 ; 4 ; 4 1/2

3) The 10th term in the sequence is 5 1/2.

4) 7 1/2 is the 14th term in the sequence.

5) The 17th term is 9.

D)

1) As the sequence progresses, each term multiplies by 2.

2) 48 ; 98 ; 192 ; 384

3) The 7th term in the sequence is 192.

4) 768 is the 9th term in the sequence.

5) The 8th term in the sequence is 384.

Step-by-step explanation:

FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on.  This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

Answer:

30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2

[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

Answer:

(8,11)

Step-by-step explanation:

1st line

y = x+ 3

We need to find the equation of the other line

We have two points (3, 1) and (4, 3)

Slope

m = (y2-y1)/(x2-x1)

   = ( 3-1)/(4-3)

   = 2/1 = 2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y =2x+b

Using the point (4,3)

3 = 2(4)+b

3 = 8+b

3-8=b

-5 =b

y = 2x-5

We have 2 lines

y =x+3 and y = 2x-5

Setting them equal to each other

x+3 = 2x-5

Subtract x from each side

x+3-x = 2x-5-x

3 = x-5

Add 5 to each side

3+5 =x-5+5

8=x

Now we can find y

y =x+3

y = 8+3

y=11

Answer:

c (8,11)

Step-by-step explanation:

Answer:

158cm

Step-by-step explanation:

Martine had the height of 50cm when born.

Every year she grows at an average rate of 6cm

So the the first 18 years will be 6cm × 18 = 108cm

She will be 108cm + 50cm = 158cm tall by the time she turns 18 years

50cm + (6 × 18)cm

50cm + (6 × 18)cm50cm + 108cm

50cm + (6 × 18)cm50cm + 108cm158cm

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

[tex]b > 3\frac{2}{15}\\\\[/tex]

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality [tex]2 \frac{3}{5} < b - \frac{8}{15}\\\\[/tex] is the same as [tex]\frac{13}{5} < b - \frac{8}{15}\\\\[/tex]

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

Let's multiply both sides by 15 to clear out the fractions

[tex]\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\[/tex]

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

Now isolate the variable b

[tex]39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\[/tex]

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

Answer:

it should be 2 as your answer

Answer:

The stream's speed is 2 km/hr. We don't need to know the distance.

Step-by-step explanation:

Let the stream's speed = x

rate * time = d

The distance is the same going upstream as it is coming back down stream.

d_upstream = d_downsteam

(8 + stream)*3 = (8 - stream)*5

(8 + x)*3 = (8 - x)*5                    Remove the brackets

24 + 3x = 40 - 5x                      Subtract 24 from both sides.

3x = 40 - 24 - 5x

3x = 16 - 5x                               Add 5x to both sides

3x + 5x = 16

8x = 16                                      Divide by 8

x = 16/8

x = 2

Answer:

answer 1

Step-by-step explanation:

x^2+4x+7

=(x^2+4X+4)+3

=(x+2)^2+3

Answer:

C. {x | x < [tex]\frac{10}{7}[/tex]}

Step-by-step explanation:

x must be less than 10/7

I hope this helps!

8.6

Answer:

Solution given:

[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]

Answer:

[tex]8.6[/tex]

Step-by-step explanation:

Step 1:  Find the approximate value of [tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]

Answer:  [tex]8.6[/tex]

Answer:

không

Step-by-step explanation:

Answer:

I have no idea you can use the app paper.

Step-by-step explanation:

Hope it helps.

Answer:

A. B. D.

Step-by-step explanation:

There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.

Answer:

A, B, D

Step-by-step explanation:

EDG 2021

Brainliest?

Answer:

Value is 57

Step-by-step explanation:

sin 33

= sin (90-57)

= cos 57

Answered by GAUTHMATH