1. Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above the ground. The angle the ladder makes with the ground needs to be 60o or less for safety purposes. a. Is this ladder in a safe position? (1 point) b. Show your work (3 points) and draw a diagram (1 point) to support your answer. Answer:

Answer:

Subtracted 12 times a number from 72 is less than 24.

Step by step solution

Given inequality is [tex]72-12a<24[/tex]

We need to write in word.  

12a means 12 times a number “a”

72-12a means subtract 12a from 72.

72-12a<24 means result is less than 24.  

Inequality shows “Subtracted 12 times a number from 72 is less than 24”

If we solve for number “a”

-12a<24-72

-12a<-24

a>2

All the number greater than 2 satisfy the given inequality.  

Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.

From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,

[tex]BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=\sqrt{17}\approx 4.123\text{ km.}[/tex]

Answer: nearly 4.123 km

Answer:

it is c 4.1

Step-by-step explanation:

C

5 × (8 + 2 ) = 5(8 + 2) = (5 × 8 ) + (5 × 2)

Circumference of a circle = π * diameter

=  4 *  π

=  12.57 cm to the nearest hundredth.

Answer:

Subjective probability.

Step-by-step explanation:

We have been told that Argelia has been fishing many times on the Broad River, but she has never recorded the number or types of fish she caught on her trips. She also has no idea how many fish are in the Broad River.

Since we know that subjective probability is a probability based on an individual's personal judgement or past experiences about happening of some specific event. Subjective probability contains no formal calculations.

Upon looking at this problem we can see that this is indicating about subjective probability as this is based on Argelia's past experiences and she has never recorded the number or types of fish she caught on her trips.

Therefore, Argelia used subjective probability to tell Adam about having a 90% chance of catching a fish.

In step 2, multiply what is inside the parentheses by 7 (distributive property):

7 * x = 7x

7 * 3 = 21

In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)

Then -7x + 4x = -3x

7x-7x + 21 = 21

In step 4, both sides of the equation are divided by -3.

So (owned by the equality division)

-3x / -3 = x

-21 / -3 = 7

Remember that the division of equal signs results in a positive number.

4x = 7(x-3)                  Given equation

4x = 7x - 21               7 is distributed inside the parenthesis . So the property used here

                                     is distributive property                

-3x = -21                    7x is subtracted from both sides. 4x-7x is -3x. So the property used

                                   here is subtraction property of equality.

x = 7                         -3 is divided on both sides.  -21/3 is 7. So the property used

                                   here is division property of equality.

Answer:

4 units

Step-by-step explanation:

First of all, notice that the graph is NOT a straight line.  That means we should have written f(t) = 4*2^t instead of f(t) = 4*2t.

In words:  the value of this coin is 4 units at time t=0 and grows exponentially with time.  

This is an exponential function.  The y-intercept is obtained by letting t = 0 and evaluating f(0) = 4*2^0.  This is equal to 4*1, or just 4.  Once again, the y-intercept represents the initial value of the coin.

Answer:

a) the no of coupons used at a super market cannot be normal as the no of coupons will not be symmetrical about the mean.  In other words, the no of coupons will be increasing and hence curve cannot be bell shaped as in normal.  So not normal

2) The weights of pumpkins that are delivered to a supermarket will be normal provided the number of pumpkins is large.  This is because of central limit theorem that the average weight of pumpkin will follow a normal distribution when sample size becomes large.

3) This is a discrete distribution because no of raisins is countable and hence cannot follow a normal distribution.  Normal distribution is meant for only continuous variables.

4) The amount of time customers spend waiting will follow an exponential distribution and cannot be normal

Step-by-step explanation:

Solution :

Given equations, [tex]x-y=3\\2x+2y=2[/tex]

Applying Substitution method to solve the equation.

Solve the first equation [tex]x-y=3[/tex] for x,

[tex]x-y=3\:\Rightarrow x=3+y[/tex]

Substitute the value of x in second equation,

[tex]2x+2y=2\\\\\Rightarrow 2(3+y)+2y=2\\\\\Rightarrow 6+2y+2y=2\\\\\Rightarrow6+4y=2\\\\\Rightarrow4y=2-6\\\\\Rightarrow4y=-4\\\\\Rightarrow y=\frac{-4}{4} =-1\\\\\Rigtharrow y=-1[/tex]

To calculate the value of  x  substitute the value of y in first equation

[tex]x-y=3\\\\\Rightarrow x-(-1)=3\\\\\Rightarrow x=3-1=2\\\\\Rightarrow x=2[/tex]

Hence, the solution of the equations [tex]x-y=3\\2x+2y=2[/tex] is (2,-1).

This took me a bit to complete but this is what i got as an answer so hopefully this helps  also the lines are supposed to go on top of both equations but if helpfull match up the lines on paper (Frist line starts on top of the 2 second line starts on top of the 5)

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

[tex]x=0.285714t+3.2571428[/tex] or [tex]t=3.5x -11.4[/tex]

1.4x - 0.4(t - 3.1) = 5.8

1.4x - 0.4t + 1.24 = 5.8      distributed 0.4 on left side

1.4x - 0.4t           = 3.56    subtracted 1.24 from both sides

This is as far as you can go if they are different variables

************************************************************************

If you typed it wrong and they are supposed to be the same variable, then:

1.4x - 0.4x = 3.56

     1.0x     = 3.56

          x     = 3.56

The coefficient in the expression x/3 + 7 is 1/3, as the variable x is being divided by 3, indicating an implied multiplication of 1/3 times x.

In the expression x/3 + 7, the term x/3 has a coefficient which is the number multiplying the variable x. In this case, the coefficient is 1/3 because x can be thought of as 1x and it is being divided by 3, so the coefficient for x is actually 1/3. The number 7 in the expression is a constant and not a coefficient because it does not multiply a variable.

To find a coefficient, you generally look for the number that is directly multiplied by the variable. In the given expression, since there is a division by 3, we treat 1/3 as the coefficient, which is an implied multiplication by x. Therefore, the coefficient of the variable x in the expression x/3 + 7 is 1/3.

Answer:i will help you what is the question

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Rotating 90° clockwise from quadrant 2 means you are reflecting over the y-axis into quadrant 1.  What do quadrant 1 coordinates look like? both x and y are positive and are reversed.

   (-x, y) → (y, x)

A: (-8, 1) →  (1, 8)

B: (-6, 4) → (4, 6)

C: (-2, 1) → (1, 2)

A. (-8, 1) →  (1, 8)

C. (-2, 1) → (1, 2)

im so sorry but i dont know what b. is hope this helps tho :)

Answer:

Step-by-step explanation:

If m∠P = m∠2 then it's an isosceles triangle.

m∠M = 90°, therefore it's an isosceles right triangle.

We know, the sum of measures of angles in a triangle is equal 180°.

Therefore we have the equation:

m∠P + m∠2  + m∠M = 180°

Substitute m∠M = 90° and m∠P = m∠2 = x:

x + x + 90° = 180°      substract 90° from both sides

2x = 90°       divide both sides by 2

x = 45° → m∠P = 45°

Answer: b) 45

Step-by-step explanation:

The zeros of the function f(x) = x(x -4)((x + 8) is 0, 4 and -8. The correct options for the zeros of the function are: A, C, D

The zeros of a function are the values of the variables x for which f(x) is said to be equal to zero. From the given function, we will replace the value of x with zero and solve the function, the variable we get at the end of the solution are the zeros of the given function.

SO,

f(x) = x (x - 4)(x + 8)

Now, the zeros of the function can be computed as:

f(0) = 0 (0 - 4)(0 + 8)

f(0) = 0 ( -4) (8)

∴

f(0) = x  or    x - 4    or    x + 8

f(0) = x   or    x = 4   or    x = -8

Therefore, the correct options for the zeros of the function are: A, C, D

Learn more about zeros of a function here:

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A.  1 : 6 = 20 : 120 = 5 : 30

1*20 : 6*20 = 20 : 120

1*5 : 6 * 5 = 5 : 30

So they are equivalent ratios

B.  1 : 6 = 4 : 18 = 6 : 36

1*4 : 6*4 = 4 : 24 which is not equivalent to 4 : 18

so, they are not equivalent ratios

C.  1 : 8 = 20 : 120 = 3 : 24

1*20 : 8*20 = 20 : 160 which is not equivalent to 20 : 120

so, they are not equivalent ratios

D.  1 : 8 = 3 : 32 = 5 : 48

1*3 : 8*3 = 3 : 24 which is not equivalent to 3 : 32

so, they are not equivalent ratios

Answer:

a. yes  b. no  c. no   d.  no

Step-by-step explanation:

[tex]\frac{new - original}{original} * 100[/tex] = percent change

[tex]\frac{3600 - 4500}{34500} * 100[/tex] = percent change

[tex]\frac{-900}{4500} * 100[/tex] = percent change

-0.20 * 100 = percent change

    -20%      = percent change

Answer: reduced 20%

-2(x + 3) = -2(x + 1) - 4

-2x - 6 = -2x - 2 - 4        distributed -2 on the left and on the right

-2x - 6 = -2x - 6

+2x       +2x      

     -6 =        -6

        TRUE

Since this is a true statement, there are infinite solutions (aka All Real Numbers)

Answer: C

The correct answer is:

(x,y) = (6,2)

Option A would be the correct one.

Answer:

The answer is (6, 2).

Step-by-step explanation:

This is a system of equations so we have to replace one equation in the other one, this is:

[tex]2x-y=10[/tex] Eq. 1

[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2

Replacing the Eq. 2 in the Eq. 1, we have:

[tex]2x-(-\frac{1}{2}x+5)=10[/tex]

[tex]2x+\frac{1}{2}x-5=10[/tex]

[tex]2.5x=10+5[/tex]

[tex]x=\frac{15}{2.5}[/tex]

[tex]x=6[/tex]

Now we have that x=6, we can replace it in the Eq. 2:

[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]

Now y=2

From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.

Answer:

3 units bruh

Step-by-step explanation:

The length of the segment AB is 3 unit.

According to a property of circles, when a line passes through the center of a circle and is perpendicular to a chord, it divides the chord into two equal parts, essentially bisecting it.

We have,

Chord AC = 6 units

Now, we know that when the diameter is perpendicular to the chord bisect the chord and arc

Then, AB = CB

Thus, the length of the segment AB will be:

AC = AB + CB

6 = x + x

2x = 6

x= 3

AB = 3 unit

Learn more about Circle here:

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the number that would have rounded to 800,000 would have been 10,000 so it would have been 70,000

Answer:

As written in the question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

Rules are  

Same number on both dice= +3

Different numbers, with an even sum= +1

An odd sum= -2

After five rounds score of Chloe=+1

→1=3+1+(-2)+(-2)+1

⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)

As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.

Answer:

this was also my homework :O

Step-by-step explanation:

Answer:

32 dollars

Step-by-step explanation:

Given that selling price of a goat after reduced by 19% is 25.92.

We have to find the original price of the goat.

Let original price = 100

Reduced %          =  19

Selling price         = 81

81 dollars is equivalent to selling price of 25.92 $

100 dollars is equivalent to selling price of 100(25.92)/81 = 32 $

You bought 555 apples and 444 oranges and your friend bought 555 apples and 555 oranges. He bought 555-444=111 oranges more than you bought.

You paid $10, he paid $11, then he paid $1 more than you paid.

This means that 111 oranges cost $1.

Thus, 444 oranges cost $4 and 555 apples cost $10-$4=$6.

1. If 111 oranges cost $1, then 1 orange cost [tex]\$\dfrac{1}{111} .[/tex]

2. If 555 apples cost $6, then 1 apple cost [tex]\$\dfrac{6}{555}=\dfrac{2}{185}.[/tex]

Answer:

Each apple costs $1.20 and each orange costs $1.

Step-by-step explanation:

Let x represent the number of apples and y represent the number of oranges.

For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y.  This costs $10.  This gives us the equation

5x+4y = 10

For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y.  This costs $11.  This gives us the equation

5x+5y = 11

Together we have the system

[tex]\left \{ {{5x+4y=10} \atop {5x+5y=11}} \right.[/tex]

We will eliminate x by subtracting the bottom equation from the top:

[tex]\left \{ {{5x+4y=10} \atop {-(5x+5y=11)}} \right. \\\\-1y = -1[/tex]

Divide both sides by -1:

-1y/-1 = -1/-1

y = 1

Each orange costs $1.

Substitute this into the first equation:

5x+4(1) = 10

5x+4 = 10

Subtract 4 from each side:

5x+4-4 = 10-4

5x = 6

Divide both sides by 5:

5x/5 = 6/5

x = 1.2

Each apple costs $1.20.