ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?

Answer:

Step-by-step explanation:

To find the slope first write the equation in the form

y = mx + c

where m is the slope

c is the y intercept

3x - 3y = -45

3y = 3x + 45

Divide both sides by 3

y = 3/3x + 45/3

y = x + 15

From the equation the slope = 1

Parallel lines have equal slope

So

The line parallel to the above line is also

1

Hope this helps you

Answer:

37.5

Step-by-step explanation:

0.1  pound for one batch of cookies

3.75 pound for  x  batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

Answer:

16.2

Step-by-step explanation:

use Pythagorean theorem

a^2 + b^2 = c^2

15^2 + 6^

225 + 36 = 261

take the sq root of 261

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

[tex]\beta=10\log (\dfrac{I}{I_o})[/tex]

I is intensity of the sound of a ticking clock

[tex]I_o=10^{-12}\[/tex] watts per square meter

Since, [tex]1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2[/tex]

The intensity of a monster truck is converted into per square meter as follows:  

[tex]10^{-9}\ {W/in^2}= \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2[/tex]

So, Decibal level is :

[tex]\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB[/tex]

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

Answer:

30dB

Step-by-step explanation:

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

Additive inverse = -3/2

Multiplicative inverse = 2/3

Step-by-step explanation:

To find Additive inverse, just change the sign.

Additive inverse of 3/2 = -3/2

If we add  a number and its additive inverse, we will obtain 0.

Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction  a/b is b/a.

When we multiply a number & its inverse, we will get 1

Multiplicative inverse of 3/2 = 2/3

Answer:

96

Step-by-step explanation:

Simply multiply all the numbers together.

4 * 3 = 12

12 * 8 = 96

There are 96 possible combinations.

If this helped, please mark brainliest :D

Answer: 12 poles and 16 helmets

Step-by-step explanation:

3+4 =8

-4= -4

1.7

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Answer:

x -y =4

Step-by-step explanation:

First find the slope

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

   = (1- -4)/(5 - 0)

    = (1+4)/(5-0)

   5/5

   = 1

Then we can use slope intercept form

The slope is 1 and the y intercept is -4

y = mx+b

y = 1x-4

We want it in standard form

Ax + By = C where A is a positive integer

Subtract x from each side

-x +y = -4

Multiply by -1

x -y =4

Answer:

x -y =4

Step-by-step explanation:

Answer:

The quotient is 4x-20/x+5

Step-by-step explanation:

The quotient is simply the result of the division

Through factorization, can express x^2 -25 as (x-5)(x+5)

Also x^2 + 10x + 25 as (x+5)(x+5)

and lastly 4x-44 as 4(x-11)

Now when we divide, the numerator of the second fraction will come down while the denominator goes up;

So we have ;

x^-25/x-11 * 4x-44/x^2 + 10x + 25

Now, making use of the factorizations, we have ;

(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)

Canceling out like factors, we have

= 4(x-5)/(x+5)

Answer:

Number of flowers planted planted by Charlie per day = 72

Step-by-step explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]

As per condition given:

[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]

Solving the above equation by taking LCM:

[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]

So, answer is:

Number of flowers planted planted by Charlie per day = 72

Answer:

two hours after the snow started melting, the depth of the snow would be 8 inches.

Step-by-step explanation:

The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).

[tex]D(t)=11-1.5\,t[/tex]

Therefore, 2 hours after the snow started melting, one would have:

[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]f(x)=-x^2+6x+1[/tex]

x coordinate:

[tex]\frac{-b}{2a}[/tex]

[tex]a=-1\\b=6[/tex]

[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]

y-coordinate:

[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

Company's final asset value =   $21,794,600

Step two

we can calculate the company's asset appreciation after 10 years as

$21,794,600- $11,283,500= $10,511,100

Step three

Hence, the growth rate of the company's asset value per  year can be expressed as =  $10,511,100/10= $1,051,110

Answer:

S 67.50° W

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

2 sin square( 45°-A)

(therefore;

by trigonometry ratios

sin45°=1)

=2sin2(1-A)

=2sin(1-A)

=1+sin2A

hence proved

I HOPE THIS WILL HELP YOU

If yes mark me brainliest and follow me..

Tysm

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

Answer:

You havent showed us the pattern

Answer:

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

Answer:

Step-by-step explanation:

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

l - length

w - width

We have

[tex]P=35.8in\\l=12.6in[/tex]

Substitute:

[tex]35.8=2(12.6+w)[/tex]       divide both sides by 2

[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]

[tex]17.9=12.6+w[/tex]       subtract 12.6 from both sides

[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]

Answer:

722 √(3) square units

Step-by-step explanation:

Mathematically, the area of a triangle is 1/2 * b * h

But in this question, we have the base which is a while the height is absent

We can use trigonometric ratios since we are given the angle to find the value of the height.

Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent

Mathematically;

Tan 60 = h/a

where h represents the height which we want to calculate

h = a tan 60

But tan 60 = √(3)

So h = a √(3)

Now the area of the triangle will be;

A = 1/2 * a * a √(3)

But a has a value of 38 units.

Substituting this value, we have ;

A = 1/2 * 38 * 38 √(3)

A = 19 * 38√(3)

A = 722 √(3) square units

Answer:

y=3x+1

Step-by-step explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

Answer:

210

Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.

Step-by-step explanation:

Hello,

This question can easily be solved through the use of a venn diagram.

Total number of students = 55

Number of medals in sport = 40 = A

Number of medals in dance = 25 = B

Number of medals in music = 212 = C

Number of students that got award in the three categories = (AnBnC) = 6

n(AuBuC) = 55

n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =

n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)

n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Therefore,

n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)

n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18

40 + 25 + 212 + 6 - 55 - 18 = 210

Note: this answer might be incorrect because of the value of C (music)

Answer:

C. all whole numbers

Step-by-step explanation:

Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.

Hence, the annual income can only be whole numbers

Answer:

c

Step-by-step explanation:

Answer:

It's A, the bartender

Step-by-step explanation:

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Explanation:

The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:

  ∆BCA ≅ ∆ECD

BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

Notice how you get the same value each time when you divide the cost by the number of downhill rides

Moreover when the downhill rides grow by 2 the total cost grows by 5

so we can state :

To complet the chart we can use the proportionaliyu relation:

so 20 goes with 50

same method:

so 25 goes with 62.5

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6