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:

a) 165

Step-by-step explanation:

Answer:

The values of k will be:

[tex]k=-1,\:k=3[/tex]

Step-by-step explanation:

Let the expression of polynomial P be

[tex]P\left(x\right)=3x^2-4kx-4k^2[/tex]

Let the expression if the polynomial Q be

[tex]\:Q\left(x\right)=\:\left(x+2\right)\:[/tex]

Plug in Q(x) = 0

0 = x+2

x = -2

As (x+2) is a factor of 3x²-4kx-4k²

substitute x = -2 in the the polynomial

3x²-4kx-4k² = 0

[tex]3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0[/tex]

[tex]12+8k-4k^2=0[/tex]

Write in the standard form ax²+bx+c = 0

[tex]-4k^2+8k+12=0[/tex]

Factor out common term -4

[tex]-4\left(k^2-2k-3\right)=0[/tex]

Factor k²-2k-3: (k+1)(k-3)

[tex]-4\left(k+1\right)\left(k-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]k+1=0\quad \mathrm{or}\quad \:k-3=0[/tex]

solving k+1=0

k+1 = 0

k = -1

solving k-3=0

k-3=0

k = 3

Thus, the values of k will be:

[tex]k=-1,\:k=3[/tex]

Answer:30

Step-by-step explanation:

Steps below. I formed an equation out of the word problem.

Answer:

The line isnt there but....

Step-by-step explanation:

I suggest to make a table

x        y

( )      ( )

( )      ( )

and on each section put the points on the correct input and output

once you do that you want to see how much you need to add or subtract to get to the other input or output

For example

if i have ( 5, 10) and ( -5, -10)

I would make a table that looks like this with each of the inputs and outputs.....

x       y

5      10

-5      -10

From 10 to -10 you need to subtract 20

from 8 to -8 you need to subtract 10

so y/x

-20/-10

2 negative numbers make a positive so...

your slope will be 2

So with any numbers that they give you, use what I showed u

Hope this helped to clarify a little!

Answer:

yeah that is what you do i could give an awnser if ther was a pc

Answer:

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

Step-by-step explanation:

Required:

Write an equation to represent this  situation

Let x represents the number of weeks and y represents the growth.

When he planted it:

[tex](x_1,y_1) = (0,2)[/tex]

Two weeks later:

[tex](x_2,y_2) = (2,5)[/tex]

At 6 weeks:

[tex](x_3,y_3) = (6,11)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-2}{2-0}[/tex]

[tex]m = \frac{3}{2}[/tex]

Then calculate the equation using:

[tex]y - y_3 = m(x - x_3)[/tex]

[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]

[tex]y - 11 = \frac{3}{2}x - 9[/tex]

Solve for y

[tex]y = \frac{3}{2}x - 9+11[/tex]

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

Answer:

Since it's a parallelogram, the length of AD and BC are the same.

Hence, [tex]x + 21 = 12x - 1[/tex].

[tex]x + 21 = 12x - 1[/tex]

[tex]12x - x = 21 + 1[/tex]

[tex]11x = 22[/tex]

[tex]x = 2[/tex]

Therefore, x = 2.

Step-by-step explanation:

Hope this helped!

Answer:

14z-9

Step-by-step explanation:

[tex]\frac{84z-54}{6}[/tex]

Answer:

The solution for your question is X=6

Answer:

[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]

Step-by-step explanation:

The dot product of vectors.

Given two vectors a and b in their rectangular form:

[tex]\mathbf{a}= a_x\mathbf{i}+a_y\mathbf{j}[/tex]

[tex]\mathbf{b}= b_x\mathbf{i}+b_y\mathbf{j}[/tex]

The dot product of the vectors is a scalar with value:

[tex]\mathbf{a}\cdot \mathbf{b}=a_x.a_y+b_x.b_y[/tex]

The given vectors are:

[tex]\mathbf{u}= -5\mathbf{i}+3\mathbf{j}[/tex]

[tex]\mathbf{v}= 3\mathbf{i}+4\mathbf{j}[/tex]

Calculating the dot product:

[tex]\mathbf{a}\cdot \mathbf{b}=(-5)(3)+(3)(4)=-15+12=-3[/tex]

[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]

Answer:

The mean for these numbers would have to be 38.4

Forgive me if I'm wrong!

Step-by-step explanation:

Answer:

9:11

Step-by-step explanation:

9000-4950=4050

(refer to picture for the rest)

Answer:

0.95t

Step-by-step explanation:

Given expression:

t − 0.05t

The equivalent expression could be found by factorizing the expression

t − 0.05t

= t ( 1 - 0.05)

= t (0.95)

= 0.95t

Check

When t = 2

t − 0.05t

= 2 - 0.05(2)

= 2 - 0.1

= 1.9

When t = 2

0.95t

= 0.95(2)

= 1.9

Therefore, the equivalent expression to t − 0.05t is 0.95t

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]

Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

Answer:

(0,6) and (2,0)

Step-by-step explanation:

y=-3x+6

Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))

And where y= o is equal to x=2 (Meaning the intercept is (2,0))

Answer:

All real values

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{3})^x[/tex]

Required

Determine the domain

The domain of a function are the values of x that makes the function to be defined.

From the given function, we can see that no single value of x will make the function become undefined.

Hence, the domain is:

x = (-∞, +∞)

In other words, the domain implies that all real numbers.

Hence:

Option (A) answers the question.

Answer:

2, 5

Step-by-step explanation:

hope this helps

please mark me brainliest

chicken total cost

3 * 3.50 = $10.5

ground total cost

1.5 * 4.25 = $6.38

Answer:

BC = 5

Step-by-step explanation:

Since it is an isosceles, it is the base angles that are equal

Since the base angles are equal, then the sides facing these angles are equal

Mathematically, what we are supposed to have as equals should be AB and BC since they are the sides facing the base angles

Thus, BC should be 5

Answer:

NQ=15

Step-by-step explanation:

To solve this we can use the side-splitter theorem.

NS/SR=NP/PQ

PQ=x since we do not know it's value

now to subsitute the given/known values.

12/78=2/x

solve for x using cross multiplication.

12x=156

x=13

PQ=13

NQ= PQ+NP

NP=2

NQ=13+2

NQ=15

The length of NQ is 15.

Answer:

-6+1

-5 :)

Step-by-step explanation:

Review & Answer:

Measuring with inches will give us inches. If you look at a ruler, inches are about a pinky finger. If 12 inches together, it is called a yard. If 3 feets are together, it is known as a yard foot

Answer:

An exceptional answer to the question provided would be, y = 6x + 2

Answer:

$0.78 per apple

Step-by-step explanation:

First, find the price of the bag with the coupon:

9.33 - 2.31

= 7.02

Then, find the price per apple by dividing this by 9, since there are 9 apples in the bag:

7.02/9

= 0.78

So, with the coupon, the price per apple is $0.78

Answer: $33.48

Step-by-step explanation:

Given that:

Capacity of car tank =. 16 gallons

Gallons of already filled = 6.6 gallons

Amount left of tank capacity = 16 - 6.7

Amount left of tank capacity = 9.3 gallons

Cost of gas per gallon = $3.60

Hence, amount spent in gas will be

Amount left of tank capacity * cost per gallon of gas

= 9.3 gallons * $3.60

= $33.48

Total amount spent on gas = $33.48

any more help just ask :)

Answer:

Step-by-step explanation:

Write all the equations in standard form cleared of decimals or fractions.

Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Select a different set of two equations and eliminate the same variable as in Step 2.

Solve the two equations from steps 2 and 3 for the two variables they contain.

Answer:

C) Multiplication

Step-by-step explanation:

You would want to remember PEMDAS. you would want to multiply the the parentheses first.

Answer:

Expression A and C

Step-by-step explanation:

Answer:

the expresión Is A AND B

Answer:

60

Step-by-step explanation:

divide 400 by 40 you get the answer 10

now multiply 6 by 10 you get the answer 60 thats is the total pear fruit