Z3
26. The entrance of the old town library is 2.3 feet
above ground level. A ramp from the ground
level to the library entrance is scheduled to be
built. The angle of elevation from the base of the
ramp to its top is to be 15º. Find the length of
the ramp.

Answer:

Infinite Solution

Step-by-step explanation:

Your teacher gave you a tricky one lol

NVM it's right, I doubled checked

Answer:

Step-by-step explanation:

Answer:

6/15

Step-by-step explanation:

Because if you multiply top and bottom by 3 you get 6/15

2/5*3/3=6/15

Answer:

A. f(2k)=0

Step-by-step explanation:

The factor theorem states that a polynomial f(x) has a factor (x−k) if and only if f(k)=0 (i.e. k  is a root).

If (x – 2k) is a factor of f(x), then by the factor theorem f(2k)=0 (i.e. 2k is a root).

Option A is true, f(2k)=0

Option B is false, it should be like in option A, f(2k)=0

Option C is false, because x=2k is a root, not x=-2k

Option D is false, because x-intercept of f(x) is x=2k, not y-intercept.

Answer:

A. f(2k) = 0

Step-by-step explanation:

Answer:

1. Rhombus

2. Square

Step-by-step explanation:

1. A rhombus is a quadrilateral whose four sides all have the same length and opposite sides are parallel.

From the diagram, you can see that [tex]\overline{AB}\parallel \overline{CD},\ \overline{AD}\parallel \overline{BC}[/tex] (given) and all four sides are congruent, thus this shape is a rhombus.

2. A square is a quadrilateral which has four equal sides, four equal angles (90-degree angles) and opposite sides are parallel.

From the diagram, you can see that [tex]\overline{EF}\parallel \overline{GH},\ \overline{EH}\parallel \overline{FG}[/tex] (given), all four sides are congruent, and all four angles are right angles, thus this shape is a square.

Answer:

Irrational Number

Step-by-step explanation:

Figure represented the line y = -3x+4

Step-by-step explanation:

Given y=-3x+4 is equation of line

In order to graph the line, we need atleast two points

Now, When x = 0, y=?

y = -3x+4

y = -3(0) +4

y = 4

Point we get A(0,4)

Now, When x = 1, y=?

y = -3x+4

y = -3(1)+4

y = -3+4 = 1

Point we get B(1,1)

On graph, Locate points A(0,4) and B(1,1)

Draw a line passing through both of the points at once.

Figure is shown for your reference.

Answer:

60

Step-by-step explanation:

Answer:

$61.18

Step-by-step explanation: the first one is wrong it is $61.18

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The number of members in the drama club that are seventh graders is 14.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Total number of members = 40

Percentage of members who is 7th graders = 35%

The number of 7th graders.

= 35% of 40

= 35/100 x 40

= 35/10 x 4

= 7 x 2

= 14

Thus,

The number of members in the drama club that are seventh graders is 14.

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer:

-34.72

Step-by-step explanation:

a + b + c = -44.84

a= 24.6

24.6 + b + c = -44.84

Since b = c (given "the other numbers are equal to each other")

Substitute b into c, we have

24.6 + b + b = -44.84 (b+b is the equivalence of 2 x b)

24.6 + 2b = -44.84 (subtract 24.6 from both sides)

2b = -69.44 (divide 2 from both sides)

b= -34.72

Since b = c  (given "the other numbers are equal to each other")

c is also -34.72

Answer:

1 month

Step-by-step explanation:

249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.

20 is the amount she has to spend every month, the rate of change.

The problem can be modeled with the general equation:

y = 20x + 249

In this equation, x the the time in months and y is the amount of money spent.

Substitute 250 for y.

y = 20x + 249

250 = 20x + 249    <= isolate x to get the number of months

1 = 20x

x = 1/20

Carol will only spent money every month, not for 1/20 of a month.

It will only take Carol 1 month to spent $250.

Check answer:

Substitute x for 1

y = 20x + 249

y = 20(1) + 249

y = 269

269 is more than 250 already.

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Answer:

k=-8/3

Step-by-step explanation:

10k-7=7k-15

10k-7k-7=-15

3k-7=-15

3k=-15+7

3k=-8

k=-8/3

Answer:

The answer to your question is 15

Answer: the answer is 15

Hope this helps :)

Answer:

2.07%

Step-by-step explanation:

69 percent of 3 percent = 0.0207 = 2.07%

Answer:2.07%

Step-by-step explanation:

Answer:

C = 6 + 1.5h.

$6 is the fixed fee that the park charges.

And $1.5 is the rate of charge per hour for rent of the raft.

Step-by-step explanation:

The water park charges a rental fee plus $1.5 per hour to rent inflatable rafts.

Let the total charge (C) has a linear relationship with the number of hours (h) spent in the park and it is C = a + bh ......... (1)

Now, b is the rate of charge to rent inflatable rafts and b = $1.5 per hour.

So, C = a + 1.5h ........... (2)

Now, given that the total cost to rent a raft for 6 hours is $15.

So, from equation (2) we get,

15 = a + 1.5 × 6

⇒ a = 6

Therefore, the equation (2) becomes C = 6 + 1.5h.

Here, $6 is the fixed fee that the park charges.

And $1.5 is the rate of charge per hour for rent of the raft. (Answer)

Step-by-step explanation:

So 4:5:8

= 1:n:b

which means that 4/n= 1  

n= 1x4 so n=4

Now we know that 4 is divided by 4 to get 1, so we do the same for the other two values.

5/4= 1.25 and 8/4= 2

So now place the values for n:b

n= 1.25 b=2

So n:b= 1.25:2

To check, multiply each of the values in 1:1.25:2 by 4 and see if the answer you get is the same as 4:5:8.

Answer:

x=101/65, y=-16/65. (101/65, -16/65).

Step-by-step explanation:

4x+9y=4

9x+4y=13

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

9(4x+9y)=9(4)

-4(9x+4y)=-4(13)

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

36x+81y=36

-36x-16y=-52

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

65y=-16

y=-16/65

4x+9(-16/65)=4

4x-144/65=4

4x=4+144/65

4x=404/65

x=(404/65)/4=101/65

x=101/65, y=-16/65.

Answer:

8.67

Step-by-step explanation:

-9t+18= -60

60+18=9t

78=9t

t= 78/9

=8.66

Answer:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Step-by-step explanation:

Cost of one white shirt = $4

Cost of one black shirt = $5

Students in class = 18

Money spent on shirts = $75

Let,

white shirts = x

black shirts = y

According to given statement;

x+y=18     Eqn 1

4x+5y=75   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=18)\\5x+5y=90\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3;

[tex](5x+5y)-(4x+5y)=90-75\\5x+5y-4x-5y=15\\x=15[/tex]

Putting x=4 in Eqn 1

[tex]15+y=18\\y=18-15\\y=3[/tex]

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

Answer:

-2/11

Step-by-step explanation:

-5 1/2=-11/2

-2/11

Answer:

x + 1 + 4√(x-3)

Step-by-step explanation:

Given: [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex]

We know that:  (a + b)² = a² + b² + 2ab

Using this formula, we expand the given expression:

⇒ [tex]$ (\sqrt{x - 3} + 2)^2  = (\sqrt{x - 3})^2 + 2.\sqrt{x - 3}. 2 + 2^2 $[/tex]

⇒ [tex]$ x - 3 +4\sqrt{x - 3} + 4 $[/tex]

⇒ [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex] = x + 1 +4√(x - 3).

Answer:

7x-6

Step-by-step explanation:

2(4x-5)-(x-4)

8x-10-x-(-4)

8x-10-x+4

7x-10+4

7x-6

Step-by-step explanation:

2(4x-5) - (x-4)

8x-10 - (x-4)

8x-10 -x+4

7x-6

Answer:

C. 12 months

Step-by-step explanation:

If you do 339.12/29.26 it will equal to 11.589 so that's like 11 months and a half so can't be 11 months has to be 12 months

The 7th term of the geometric sequence described by this explicit formula [tex]a_{n}=7*3^{(n-1)}[/tex] is 5103 ⇒ answer D

Step-by-step explanation:

The explicit formula of nth term in the geometric sequence is

[tex]a_{n}=a(r)^{n-1}[/tex] , where

∵ The explicit formula of a geometric sequence is [tex]a_{n}=7*3^{(n-1)}[/tex]

∵ The explicit formula of nth term in the geometric sequence

   is [tex]a_{n}=a(r)^{n-1}[/tex]

∴ a = 7 and r = 3

∵ We need to find the 7th term

∴ n = 7

- Substitute n by 7 in the formula

∴ [tex]a_{7}=7*3^{(7-1)}[/tex]

∴ [tex]a_{7}=7*3^{(6)}[/tex]

∵ [tex]3^{(6)}=729[/tex]

∴ [tex]a_{7}=7(729)[/tex]

∴ [tex]a_{7}=5103[/tex]

The 7th term of the geometric sequence described by this explicit formula [tex]a_{n}=7*3^{(n-1)}[/tex] is 5103

Learn more:

You can learn more about geometric sequence in brainly.com/question/1522572

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Answer:

4.66666666667 or 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

It would be 4 2/3.

Step-by-step explanation:

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  [tex]\frac{1}{15}[/tex]

Answer:

2/15

Step-by-step explanation:

Answer:

Not the commutative property but the fact that absolute value is always positive so the absolute value of x is equal to the absolute value of negative x

Step-by-step explanation:

Answer:

x=0, y=8. (0, 8).

Step-by-step explanation:

-6x+y=8

5x+y=8

-----------

-6x+y=8

-(5x+y)=-8

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

-6x+y=8

-5x-y=-8

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

-11x=0

x=0/-11

x=0

5(0)+y=8

0+y=8

y=8-0

y=8

It looks like you want to multiply the two functions. If so, then,

(h*g)(x) = h(x)*g(x)

(h*g)(x) = (x-5)*|x|

(h*g)(x) = x|x| - 5|x|

Answer:

5 are left over

The drawing will help

Answer:

B

Step-by-step explanation: