Find the GCF of the list below.
- 20x^3y. 4x^4 y^2. 60x^4y

Answer:

complementary, b = 90 - 37 = 53

step-by-step explanation:

Answer:

see below

Step-by-step explanation:

These angles are complementary.

b + 37 = 90

b = 53°

Answer:

[tex]y>2x-5[/tex]

Step-by-step explanation:

[tex]y +2>1/3 (6x-9)[/tex]

Expand 1/3(6x-9).

[tex]y +2>6/3x-9/3[/tex]

[tex]y +2>2x-3[/tex]

Subtract 2 on both sides.

[tex]y +2-2>2x-3-2[/tex]

[tex]y>2x-5[/tex]

The rewritten form of y +2 > 1/3 (6x – 9) where the y-term us isolated is; y > 2x -5

To isolate the y-term;

The following operations are carried out;

By finally isolating y; we have;

y > 2x -5

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Step-by-step explanation:

1. AB = BC (B is the midpoint of AC)

2. DE = EF (E is the midpoint of DF)

3. EB is common

4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)

5. ΔDEB ≅ ΔFEB (RHS)

6. DB = FB (corresponding ∠s of ≅ Δs)

7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)

8. ΔABD ≅ ΔCBF (SAS)

Answer:

$70

Step-by-step explanation:

1. I = PRT

2. Sub in what you know into the equation:

I = $875 (principal amount) x 0.04 (4%) x 2 (24 months = 2 years)

3. 875 x 0.04 x 2 = 70

4. Anna will receive $70 in simple interest

Answer:

£70

Step-by-step explanation:

simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

where P is principal, R is rate of interest and T is time in years.

Note that 24 months = 2 years, thus

I = [tex]\frac{875(4)(2)}{100}[/tex] = [tex]\frac{7000}{100}[/tex] = £70

Answer:

2

Step-by-step explanation:

m= (y-y1)/(x-x1)

Points are (3, -2) and (6, 4)

m= (-2-4)/(3-6)= -6/-3= 2

m=2 to replace ? mark

Answer:

i believe that would be -8...

Step-by-step explanation:

Answer:

the correct answer is -8

plz mark as brainliest

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The y-intercept is at x=0, y=3.

Answer:

H' = (4, -2)

Step-by-step explanation:

Translating point H three units up and one unit right places it at (4, 2).

Then after a reflection across the x-axis, the y value is reversed, and the point is placed at (4, -2)

Answer:

It will take 20 times for both cost to be same

Step-by-step explanation:

What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.

The first thing to do here is calculate how much that is charged to rent Billyboats

That would be;

Let the number of times be n

so the amount will be

105 + 9.50n

Now, renting at 14.75 at n times would be 14.75n

Mathematically, we equate both

14.75n = 105 + 9.5n

14.75n - 9.5n = 105

5.25n = 105

n = 105/5.25

n = 20 times

Answer:

3/4 6/8 12/16

Step-by-step explanation:

Cuz me brian knows stoof

In terms of percentages, 3/4 is equivalent to 75/100.

In order to determine equivalence, we should divide the numerator and denominators in such a way that the numbers would no longer be divisible.

So, for example, if we have the fraction, 75/100, the equivalence can be obtained by dividing both sides by 5 as follows

75/100 = 15/20 = 3/4

There are so many other numbers that are equivalent to 3/4. 6/8 is one such example.

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Answer: tan(70)=x/800

Step-by-step explanation:

Since we are looking at the altitude and x and 800 are given, we will need tangent. Tangent is opposite/adjacent. We can eliminate sin(70). Between our 2 tangent choices, the answer is tan(70)=x/800. Tan(70)=800/x is very close but incorrect. 800/x is adjacent/opposite. That is not a trigonometric function. We are looking for opposite/adjacent.

Answer: y ≥ (3/5)*x - 3

Step-by-step explanation:

In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

First, let's find the equation for this line:

y = a*x + b

the value of a is the slope and is equal to:

a = (0 - (-3))/(5 -0) = 3/5

and the value of b is the point where the line intersects the y-axis, in this case, b = -3

then our line is

y = (3/5)*x - 3

As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

y ≥ (3/5)*x - 3

Answer:

D

Step-by-step explanation:

Because its a line and the only three undefined terms are line,point,plane

Answer:

Since the slope is -2 and y-int. is 3 the slope-intercept form is y = -2x + 3 which in standard form is 2x + y = 3.

Answer:

y = -2x + 3

Step-by-step explanation:

→ We know the slope so we can automatically plug that into the y = mx + c formula so,

y = -2x + c

→ Now we substitute in the coordinates (0,3) to find the c value and therefore complete the equation

y = -2x + c

3 = ( -2 × 0 ) + c ⇔ 3 = 0 + c ⇔ c = 3

y = -2x + 3

Answer:

1.55 meters

Step-by-step explanation:

Used google conversion. But there are 10 meters in a decimeters, so just divide.

Answer:

1.55 meters

Step-by-step explanation:

10 decimeters = 1 meter

15.5 decimeters * 1 meter/ 10 decimeters = 15.5 /10 meters

1.55 meters

Answer:

198

Step-by-step explanation:

Make use of the multiples that can divide both of them until their remainders are both 1

Step-by-step explanation:

You hiked 5400 - 3800 = 1600 feet in 4 hours so the mean change is 1600 / 4 = 400 ft/hour.

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

[tex]\frac{sin A}{a}[/tex] =  [tex]\frac{sin C}{c}[/tex]

A = ?

a=6.9

C=90

c=13.2

[tex]\frac{sin A}{6.9}[/tex] = [tex]\frac{sin 90}{13.2}[/tex]

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

[tex]\frac{sin 134}{13.2}[/tex]  = [tex]\frac{sin 14.5}{AH}[/tex]

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

The usual margin of error we strive for is a 95% probability that our estimate is within the margin.   Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule).   So our margin of error is plus or minus two standard deviations.

Answer: ±2%

Answer:

The plotting the points 1 and then you will be able to compare the materials and how they work in comparison to the other material

Answer:

Bar graph

Step-by-step explanation:

Cuz he will make bars in order to show the materi

Answer:

[tex]h=\frac{1}{3} \pi r^{2} v[/tex]

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given volume of the cone,

V=(1/3)πR²H

Manipulate the above formula as,

[V (3/1)]/(πR²) = H

H = 3V/(πR²)

Hence "The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²)".

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Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0

Answer:

6.4

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]

Hope this helps!

Answer:

To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4

Answer:

B. A reflection across the y axis.

Step-by-step explanation:

Only B. A reflection across the y axis will work because all the other options make it move somewhere else or flip it upside down. The trapezoid has a line of symmetry down the y-axis so reflecting it across the y-axis will make the same exact figure in the same exact spot.

Answer:

Given

Hope it helps..

Step-by-step explanation:

The options that apply are:

4/18= 6/27

3/4= 9/12

How to check:

Multiple the middle two terms

Then divide the product by one of the outer terms

If you get the other outer term, its a valid proportion

Answer: x=12

This solution is not extraneous

Step-by-step explanation:

[tex]\frac{-4\sqrt{x-3}}{-4}=\frac{-12}{-4}[/tex]  Divide both sides by -4

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

[tex]\left(\sqrt{x-3}\right)^2=3^2[/tex] Square both sides

[tex]3^2=9[/tex]

[tex]x-3=9[/tex]

add 3 on both sides

[tex]9+3=12[/tex]

[tex]x=12[/tex]

Answer:

x=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using SOH CAH TOA in trigonometry identity to find the sin Y, cos Y and Tan Y

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle Y

Opposite = 7

Adjacent = 24

For Sin Y

[tex]\sin =\frac{Opposite}{Hypotenuse}[/tex]

Sin Y = 7/25

For cos Y:

[tex]\cos Y = \frac{Adjacent}{Hypotenuse}[/tex]

Cos Y = 24/25

For tan Y:

[tex]\tan Y = \frac{Opposite}{Adjacent }[/tex]

Tan Y = 7/24

Answer:

0

Step-by-step explanation:

Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.

Answer:

  4 : 3

Step-by-step explanation:

The first segment is 4/7 of the whole, so the second segment is 1 - 4/7 = 3/7 of the whole. Then the ratio of the two segments is ...

  (4/7) : (3/7) = 4 : 3

Answer:

Finding the vertex by completing the square

1) The vertex = (4/3, -4/3)

2) The vertex = (-1/2, 36)

3) The vertex = (2/3, 26/3)

Finding the value of x by completing the square

1) x = 1 or -4

2) x = 3/2 or -7/2

3) x = 1 or -3

Step-by-step explanation:

Finding the vertex by completing the square

The vertex form of the quadratic equation y = ax² + bx + c is written as follows;

y = a(x - h) + k

Therefore, we have;

Y = 3·x² + 4 - 8·x = a(x - h)² + k

Hence, a  = 3

Which gives;

3×(x² - 2·x·h + h²) + k

Hence, we have 3×2×h = 8

h = 8/6 = 4/3

The constant term = k

We note that 3 × h² + k = 4

∴ k = 4 - 16/3 = -4/3

The vertex form is therefore;

Y = 3(x - 4/3)² - 4/3

The vertex = (4/3, -4/3)

2) Where Y = 4·x² + 4·x + 36

a = 4

4× -2·h = 4

∴ h = 4/(4 × (-2)) = 4/-8 = -1/2

Also, 4 × h² + k = 36

Which gives;

4 × (-1/2)² × k = 36

k = 36

The vertex form becomes

y = 4(x - (-1/2)) + 36

The vertex = (-1/2, 36)

3) Where Y = -3·x² + 4·x + 10, we have

a = -3

3×2×h = 4

∴ h = 4/(2×3) = 2/3

a×h² + c = k

-(3)×(2/3)² + 10 =  26/3

Which gives;

Y = -3(x - 2/3) + 26/3

The vertex = (2/3, 26/3)

To find the value of x by completing the square, we have;

1) 2·x² = -6·x + 8

2·x² + 6·x =  8

2·(x² + 3·x) = 8

x² + 3·x = 8/2 = 4

x² + 3·x + (3/2)² = 4 + (3/2)² = 25/4

(x + 3/2)² = 25/4

∴ x + 3/2 = ±5/2

x = 5/2 - 3/2 or -5/2 - 3/2

x = 1 or -4

2) 8·x² + 16·x = 42

8·(x² + 2·x) = 42

x² + 2·x = 42/8 = 21/4

x² + 2·x + 1 = 21/4 + 1 = 25/4

(x + 1)² = 25/4

x + 1 = √(25/4) = ± 5/2

x = 5/2 - 1 or -5/2 - 1

∴ x = 3/2 or -7/2

3) -x² + 2·x = -3

-x² + 2·x = -3

-1×(-x² + 2·x) = -1 ×-3 = 3

x² - 2·x = 3

x² - 2·x + 1 = 3 + 1 = 4

(x - 1)² = 4

x - 1 = √4 = ±2

∴ x = 2 - 1 or -2 - 1

x = 1 or -3