3. Daquan is building a garden shaped like a trapezoid. The diagram shows the lengths of the sides. How much fence
does Daquan need to buy to go around the garden?
3x-1
x2-3x
3x2-11x
x+2

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

Learn more about the ratio here:

brainly.com/question/1504221

#SPJ4

Answer:

Yes.

Step-by-step explanation:

18/ 3 = 6

3 / 3 = 1

so,  6 : 1.

\(\huge\underline\color{green}{Answer ☘}\)

cαѕєч'ѕ hєíght = ( 55 - 2х )cm

cαѕєч'ѕ ѕíѕtєr'ѕ hєíght = ( х + 46 )cm

\((55 - 2x) - (x + 46) \\ => 55 - 2x - x - 46 \\ => - 3x + 9 \\ = > 9 - 3x\)

hσpє hєlpful~

50%

since 98/2 = 49

Thats it

The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Answer:

B). 55

Step-by-step explanation:

125 degree angle and angle x are supplementary.

Answer:

1,2,4,5

Step-by-step explanation:

Answer:

line DB, H, and D

Step-by-step explanation:

First, we can simplify the equation by isolating the variable on one side:

2√x + 6 - 3 = 19

2√x + 3 = 19

2√x = 16

√x = 8

Now we can square both sides of the equation to isolate x:

(√x)² = 8²

x = 64

Therefore, the solution to the equation 2√x + 6 - 3 = 19 is x = 64, which corresponds to answer choice (e).

Hope this helped (:

Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779

Using the R software or any other graphing software and typing in the, we get the graphs.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We see there's a slight difference between the two graphs.

For Minneapolis, the curve goes upwards to 0.4

and the for St. Paul the curve goes downwards to 0.4

The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.

To learn more about mean and standard deviation: https://brainly.com/question/29347607

#SPJ4

The answer is B

When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.

The x² equation is less than 2 while the linear equation is greater than or equal to 2.

We know it's the x² equation that is less than two because it has a curve in it.

Answer:

15.87% (2 d.p.)

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

\(\boxed{X \sim\text{N}(\mu,\sigma^2)}\)

Given:

Therefore, if the weights of adult male rhesus monkeys are normally distributed:

\(\boxed{X \sim\text{N}(17, 3^2)}\)

where X is the weight of an adult male rhesus monkey.

To calculate the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds, we need to find P(X < 14).

Calculator input for "normal cumulative distribution function (cdf)":

⇒ P (X < 14) = 0.158655253...

⇒ P (X < 14) = 15.8655253...%

⇒ P (X < 14) = 15.87%

Therefore, the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds is approximately 15.87% (2 d.p.).

Answer:

The total cost of making the tank equals $2,082.48

Step-by-step explanation:

Giving the following information:

The tank requires 208 sq ft of material at $9.29 per square foot.

It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour.

To calculate the total cost, we need to multiply the unitary variable cost by the total amounts:

Direct material= 9.29*208= $1,932.32

Direct labor= 4.5*26.4 + 1.6*19.6= $150.16

The total cost of making the tank equals $2,082.48

Answer:

14 min

Step-by-step explanation:

Angle DEI is equal to the sum of angles DEF and EIG. therefore, the measure of DEI is  136°. The theorem used to solve this problem is the Angle Addition Postulate.

Based on the given information, we can determine the measure of angle EIG and angle EIH as follows:

Since IG ⊥ EG, we know that angle EIG is a right angle. Therefore, angle DEI is equal to the sum of angles DEF and EIG:

∠DEI = ∠DEF + ∠EIG = 46° + 90° = 136°

Similarly, since IH ⊥ EH, we know that angle EIH is a right angle.

The theorem used to solve this problem is the Angle Addition Postulate, which states that the measure of an angle formed by two adjacent angles is equal to the sum of the measures of the two adjacent angles.

for such more question on Angle Addition Postulate

https://brainly.com/question/17920323

#SPJ11

The probability the coin lands heads on a single toss is 0.625

Let's assume that the probability of getting heads on a single toss is denoted by p.

The probability of getting 2 heads out of 7 tosses is given by the binomial distribution

P(2 heads) = (7 choose 2) × p^2 × (1-p)^5

Similarly, the probability of getting 3 heads out of 7 tosses is

P(3 heads) = (7 choose 3) × p^3 × (1-p)^4

We are given that P(2 heads) = P(3 heads), so we can set these two equations equal to each other:

(7 choose 2) × p^2 × (1-p)^5 = (7 choose 3) × p^3 × (1-p)^4

Simplifying this equation, we get

21 × p^2 × (1-p)^5 = 35 × p^3 × (1-p)^4

Dividing both sides by p^2 * (1-p)^4, we get

21/(1-p) = 35/p

Solving for p, we get:

p = 35/(21+35) = 35/56 = 0.625

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

The coordinates of D' are D' = (-2, -4)

The given paramaters are

D = (2, 4)

The rule is given as

180 degrees about the origin.

This is represented as

(x, y) = (-x, -y)

So, we have

D' = (-2, -4)

Hence, the coordinates of D' are D' = (-2, -4)

Read more about coordinates a

https://brainly.com/question/11337174

#SPJ1

Answer:

its 4/24 :)))))))))))))))))

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

For such more questions on value of the number

https://brainly.com/question/26150158

#SPJ8

Answer:

9.

Step-by-step explanation:

x - 2 ) 3x^2 +  4x   -  11 ( 3x + 10 <--------Quotient

          3x^2 -  6x               (Subtract)

                      10x  -  11

                      10x  - 20     (Subtract)

                                   9 <---------- Remainder

Answer:

1 to 2.

We can see that the figure starts at the bottom left, and then moves to the bottom right.

So the vertical position remains constant, and the horizontal position changed, this can be a reflection around the vertical axis.

2 to 3.

Now the figure goes from the bottom right and moves to the top right, not only that, in (2) the figure is facing up, and in (3) the figure is facing down, then we have a reflection around the horizontal axis.

3 to 4.

Similar to the first case, this is a reflection over the vertical axis.

4 to 5.

Similar to the second case, this is a reflection over the horizontal axis.

(Something to notice, the movements can be called "Rotations over the ___ axis". I used reflection because it is specific for this type of motion, while rotation can be used to describe really complex types of motion)

Answer:

root 194=13.928 inches

Answer:

36

Step-by-step explanation:

12*3=36

Answer:

40

Step-by-step explanation:

Answer:

3 gumballs and 5 jawbreakers = $3.00

Step-by-step explanation:

30 x 5 = $1.50 (One dollar and 30 cents)

50 x 3 = $1.50 (One dollar and 30 cents)

and if you add those together you get $3.00 because

50 + 50 = 100 or in this question $1.00 and when you add

$1.50 + $1.50 = $3.00

hope this helps!

Answer:

Step-by-step explanation:

Let number of gumballs be g and jawbreakers be j

Bob will spend 0.5g + 0.3j on candy and the total should not exceed $3.00

Required inequality is:

Answer:

C. 600 square units

Step-by-step explanation:

to find ML:

KM^2=JM*ML

24^2=32*ML

ML=18

to find the area of triangle LKJ:

formula for area of a triangle: 1/2base*height

b=JM+ML=32+18=50

h=KM=24

area of triangle LKJ= 1/2(50)(24)

area of LKJ=600

Answer:

Your answer is

Both F and D is 139

Hope that this is helpful. Tap the crown button, Like & Follow me