In △ABC, AB = 13.2m,
BC = 6.9m and ∠ACB = 90°. H lies on AC such that
∠BHC = 46°. Find

(i) ∠ABH

(ii) The length of AH

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

5x-4y=28.....eqn (1)×-9

3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

-4y =28-20

-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

Answer:

The first equation should be multiplied by 9 and the second equation by −4.

Step-by-step explanation:

Answer:

x = 3 1/4

Step-by-step explanation:

[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]

[tex]4x+15=28[/tex]

[tex]4x+15-15=28-15[/tex]

[tex]4x=13[/tex]

[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]

[tex]\displaystyle x=3.25[/tex]

Answer:

b.four less than three times a number

Step-by-step explanation:

because it's -4 , it will be four less than

and ×3 is three times the number

Answer:

b. four less than three times a number

Step-by-step explanation:

Got it right on the test

The instructions state "there are a  minimum of 16 players and at most 20  players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]

Therefore, the given polygon will have 18 sides in total.

For more details, refer to the link:

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Answer:

[tex] x = 3 + \frac{3y}{2} \\ [/tex]

Step-by-step explanation:

[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day !

Answer:

Total bill = $17.18

Step-by-step explanation:

Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.

Cost of 2 yard of 45" flat fold material = 2.29 × 2

                                                               = $4.58

Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.

Cost of 2 more yards material = 5.89 × 2

                                                  =$11.78

Total cost of 4 yards cloth material with sales tax  

= (4.58 + 11.78) + 5% of (4.58 + 11.78)

= $16.36 + (5% of $16.36)

= 16.36 + (0.05 × 16.36)

= 16.36 + 0.818

= $17.178

= $17.18

_________________________________

Range=20

Median=15

Step by step explanation:

Solution,

Given data=12,13,19,16,32,15,13

Highest score=32

lowest score=12

a. Range= highest score- lowest score

= 32-12

= 20

B. Arranging the data in ascending order

= 12,13,13,15,16,19,32

N( total number of items)= 7

Median= (N+1/2)th item

=(7+1/2) th item

= (8/2) th item

= 4 th item

Median = 15

Hope it helps

Good luck on your assignment

_________________________________

Answer:

-1

Step-by-step explanation:

x=(-2)

2(-2) +3

-4 +3

= -1 .

Answer:

  1.  The angles do not have the same reference angle

Step-by-step explanation:

The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)

The angles do not have the same reference angle.

_____

5π/6 has a reference angle of π/6.

5π/3 has a reference angle of π/3.

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

2π = 360°

π = 180°

5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°

5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)

The reference angles are not the same and so the value of their tangents are not equal.

Answer:

D Over the interval [4, 7], the local minimum is -7.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the - means you have to subtract to add. so subtract 3 over 4 and you get 2

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]

These are corresponding angles

hope this helps

brainliest appreciated

good luck! have a nice day!

The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.

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

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2

⇒ -3a³ + 5a² - 3a + 7

Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".

To learn more about expression,

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Answer:

D.120

Step-by-step explanation:

The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120

Answer:

10 units

Step-by-step explanation:

Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

The volume of Haley's prism is:

V = 5 * 3 * 4 = 60 cubic units

Jeremiah's prism has twice the volume of Haley's:

V(J) = 2 * 60 = 120 cubic units

This implies that:

120 = 4 * 3 * h

where h = height of prism

=> 120 = 12h

=> h = 120 / 12 = 10 units

Jeremiah's prism is 10 units tall.

Answer:

Each neighbor will get 12 candles so in total, 60 candles will be sold.

Step-by-step explanation:

Answer:

Look up how  to find volume and you'll get the answer right away

Step-by-step explanation:

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

Answer:

m = 3.86

Step-by-step explanation:

D = 6 / 7

D = m + 3

6 / 7 = m + 3

6 / 7 + 3 = m

m = 3.86

Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer:  2, 6

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT    and     RS + RT > ST     and     ST + RT > RS

2x + 4x > 12                  2x + 12 > 4x                  4x + 12  > 2x

       6x > 12                          12 > 2x                          12  > -2x

         x > 2                            6 > x                             -6 < x

         2 < x                             x < 6                             invalid

Answer:  2 < x < 6      

Graph:     O----------------------O

                2                          6

 Note: -6 is invalid because you cannot have a negative length.                     

Answer:

s = 1.17, -23.17

Step-by-step explanation:

s^2 + 22s = 27

Take the coefficient of s

22

Divide by 2

22/2 =11

Square it

11^2 =121

Add this to both sides

s^2 + 22s+121 = 27+121

s^2 + 22s+121  = 148

(s+11)^2 = 148

Take the square root of each side

sqrt((s+11)^2) = ±sqrt(148)

s+11 =  ±sqrt(148)

Subtract 11 from each side

s+11-11 = -11  ±sqrt(148)

s =  -11  ±sqrt(148)

s = -11 + sqrt(148) = 1.1655

   - 11 - sqrt(148)=-23.166

Rounding to the nearest hundredth

s = 1.17, -23.17

Answer:

the first one is 4+10+10=24

the second one is 10-4=6

the third one is =4

the pink cone=10

the blue cone=4

I hope this help

and i am sure that is the answer

please give me the brainlest

Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function[tex]f(x)= 3x-6[/tex]

[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line [tex]y = mx + c[/tex]

Slope of the line [tex]= 3[/tex]

Y- intercept [tex]= -6[/tex]

Hence,  function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

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Answer:

C

Step-by-step explanation:

Option c gives the actual representation of the question

Answer:

Option E

The shape is got using the expression: (20 X 9) - (3 X 2)

Step-by-step explanation:

to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.

The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.

Dimensions of the larger rectangle:

Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.

Thus we have Length = 20 feet, width = 9 feet

Dimensions of the smaller rectangular cutout.

We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)

length of cutout = ( 20-18) = 2 feet

width of cutout = (9-6) = 3 feet

Hence, the area of the shape is got using the expression:

(20 X 9) - (3 X 2)

Answer:

C

Step-by-step explanation:

The matrices are conformable for multiplication.

Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.

AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C

Answer:

y = -2x + 1

Step-by-step explanation:

First we're going to find the gradient (the number in the green box with the question mark).

We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.

Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).

Substitute the points into our formula:

gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]

gradient = [tex]\frac{-6}{3}[/tex]

gradient = -2

Next, we're going to find the y-intercept (the number in the grey box)

Now that we have the gradient, our equation looks like this:

y = -2x + c

We use the letter c to represent the y-intercept of a linear graph.

Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).

3 = -2(-1) + c

3 = 2 + c

c = 1

So our equation is y = -2x + 1