What is the area of triangle DFG? Round to the nearest whole square unit. 27 square units 38 square units 364 square units 728 square units

The total volume is 90 units³, this statement is False.Therefore, the correct options are:The composite figure consists of two rectangular pyramids.The total volume is 136.875 units³.

Given:2 rectangular pyramids are connected at their bases. The total height of the 2 figures if 10 units. The base edge lengths are 9 units and 1.5 units. The height of each pyramid is 5 units.To check which statements about the composite figure are true, we need to find out the volume of the composite figure.Volume of rectangular pyramid = 1/3 * Base area * Height[pyramid]Volume of pyramid 1 = 1/3 * (9*9) * 5 = 135Volume of pyramid 2 = 1/3 * (1.5*1.5) * 5 = 1.875The total volume of the composite figure = Volume of pyramid 1 + Volume of pyramid 2 = 135 + 1.875 = 136.875The total volume is 136.875 units³.The composite figure consists of two rectangular pyramids, this statement is True.The composite figure can be broken down into rectangular prisms, this statement is False.The volume of the composite figure is 1.5(9)(5) 1.5(9)(5), this statement is False.The total volume is 45 units³, this statement is False.

learn more about volume here;

https://brainly.com/question/29019321?

#SPJ11

You have the following operation:

6x9

To solve the previous operation you consider that the expression means 6 times 9, that is, that is the sum of six 9s:

6x9 = 9 + 9 + 9 + 9 + 9 + 9 = 54

Hence, the simplied operation is 6x9 = 54

Answer:

x = 3/2y

y = 2/3x

Step-by-step explanation:

x = 3/2y

Swap sides so that all variable terms are on the left hand side

2x + 15 = 3y + 15

Subtract 15 from both sides

2x = 3y + 15 - 15

Subtract 15 from 15 to get 0

2x = 3y

Divide both sides by 2

2x/2= 3y/2

Dividing by 2 undoes the multiplication by 2

X = 3y/2

Y = 2/3x

Subtract 15 from both sides

3y = 2x + 15 - 15

Subtract 15 from 15 to get 0

3y = 2x

Divide both sides by 3

3/3y = 2/3x

Dividing by 3 undoes the multiplication by 3

y = 2/3x

Answer:

where the table??

Step-by-step explanation:

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

To learn more about probability click on,

https://brainly.com/question/30648713

#SPJ4

Answer:

1

Step-by-step explanation:

So we let's simplify

(-2) is still -2 so you could put away the parenthesis -(-3) you need to distribute or multiply the - to -3 negative times negative is positive so it will become 3

Now the equation looks like this:

-2+3= 1

Answer:

the answer is 1

Step-by-step explanation:

ok, so you see that there's a negative sign in front of (-3). even if there's no other number in front of the parentheses, there's actually a -1, its just that math omits the 1 to make life easier. With that in mind, whenever you see an even amount of negative signs, the answer's gonna be positive. In this case you just multiple -3 and the negative sign to get +3, and since there's a -2 in front of the -3, you add them together (-2+3) to get 1

Hope this isn't too much info for you :'D

The resulting matrix after the stated row operation is applied to the given matrix is [3      0    6      5]

                         [20   -3    2    16]

                         [4      0    0     5]

The resulting matrix after the stated row operation is applied to the given matrix is calculated as follows;

The given matrix expression;

[3   0    6    5]

[4   -3   2    -4]

[4    0   0     5]

The row operation of 4R₃ is determined as follows;

4R₃ = 4[4   0   0    5]

= [16   0     0      20]

Add row 2 to the product of 4 and row 3 as follows;

R₂ + 4R₃ = [4     -3       2      -4] + [16     0    0    20]

= [20    -3     2      16]

The resulting matrix is determined as follows;

= [3      0    6      5]

  [20   -3    2    16]

  [4      0    0     5]

Learn more about row operation here: https://brainly.com/question/17490035

#SPJ1

Answer:

Option C

Step-by-step explanation:

Circumference of a circle = \(2\pi r\)

Circumference of a circle with radius 3 ft= \(2\pi *3 = 6\pi\)

Circumference of a circle with radius 8 ft or 16 ft= \(2\pi *8/2 = 16\pi/2 = 8\pi\)

The difference between the two circle

\(8 \pi - 6\pi = 2\pi \\= 2 * 3.14\\= 6.28\\\)

Hence, option C is correct

Answer:

16/25 = 0.64

6/7 = 0.857142

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Answer:

380%

Step-by-step explanation:

Turn into an improper fraction:

3x5=15 15+4= 19/5

You can do two ways

multiply by 20

19      x20            380

------                = ----------

5        x20           100

Other way: put into calculator

3,8

Turn into percent by multiplying by 100

=380

Answer:

51, 53, 55, 58, 60

Step-by-step explanation:

The minimum is the lowest value in the data set, that is 51

The maximum is the largest value in the data set, that is 60

The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60

                                     ↑ middle

median = 55

The lower quartile is the middle value to the left of the median

51, 51, 53, 53, 54, 55

               ↑

Q₁ = \(\frac{53+53}{2}\) = \(\frac{106}{2}\) = 53

The upper quartile is the middle value of the data to the right of the median

56, 58, 58, 58, 59, 60

                 ↑

Q₃ = \(\frac{58+58}{2}\) = \(\frac{116}{2}\) = 58

Answer: y=-9/8x+7

Step-by-step explanation:

Answer:

\(y = \frac{ - 9}{8} x + 7\)

Step-by-step explanation:

Slope intercept form is

y=mx+b

(m) is slope

(b) is y intercept

The y intercept is where ethe line crosses the y axis [vertical axis]

The line crosses at (0, 7)so our b=7, now we need slope.

The formula for slope is (y₂-y₁)/(x₂-x₁),

which is the y of the second given point minus the y of the first given point divided by the x of the second given point over the x of the 1st given point.

(-2-7)/(8-0)

-9/8 is our slope

put our (m) and (b) into the formula

y=-9/8x+7

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

35:25

Step-by-step explanation:

seventh and eighth to sixth

7th+8th : 6th

20+15 : 25

35:25

Answer:

/ 1=78+37{exterior angle of triangle is equal to the sum of its opposite interior angle

/1=115°

hope it helps.

To calculate the loan's annual interest rate, we can use the concept of compound interest.  The final amount after 25 years is A = P + 1.17P = 2.17P

Compound interest is calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (original loan), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we have a loan term of 25 years, and the borrower agrees to pay back the original loan amount increased by 117 percent. This means the final amount A will be equal to the original loan amount plus 117 percent of the original loan amount.

Let's assume the original loan amount is P, and the final amount after 25 years is A = P + 1.17P = 2.17P.

Substituting these values into the compound interest formula, we have 2.17P = P(1 + r/n)^(nt).

We can now solve for the annual interest rate (r) by rearranging the equation and isolating r.

Learn more about Compound interest here :

brabrainly.com/question/14295570

#SPJ11

Answer: 24/m

Step-by-step explanation:

There are m members in the science club.

24 bumper stickers were purchased to be split amongst these m members.

The number of stickers that each member will get is:

= Number of stickers / Number of members

Number of stickers = 24

Number of members = m

The expression is therefore:

= 24/m

Answer:

11.6 is right

Step-by-step explanation:

Answer:

÷3

Step-by-step explanation:

&$#*×&×$;$:$&;%%:#,¿×€$:%

Answer:

A

Step-by-step explanation:

when doing algebra like this, you need to isolate the variable using its reverse operation. For + its -.  For - its +. For * its /. For / its *.

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

Learn more about the measure here:

https://brainly.com/question/12020266

#SPJ4

A line graph is best suited for showing changes in statistics over time or space.

Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.

To know more about line graphs, visit:

https://brainly.com/question/31942903

#SPJ11

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

Step-by-step explanation:

supplementary angles : angles that add up to 180 degrees

complementary angles: angles that add up to 90 degrees

adjacent angles: angles next to each other

vertical angles: angles directly across from each other

alternate interior angles: angles inside of 2 lines In opposite side of transversal.

alternate exterior angles: angles outside of 2 lines in opposite side of transversal

corresponding angles: angles on same side of transversal and same relative position to lines crossed by transversal.

please mark me brainliest, thanks

Answer:

Y=4/6X ( or u can write it as Y=1.5X) .

Hope it was helpful for you .

Answer:

13.06 children

84.28 adults

Step-by-step explanation:

Given:

Required:

We need to find the rate of change of the given equation.

Explanation:

Consider the given equation.

Differentiate with respect to x.

We know that dy/dx is the rate of the given function.

Differentiate dy/dx with respect to x.

The function is increasing, and the rate is decreasing.

Final answer:

Increasing at a decreasing rate.

The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45

We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.

First we need to calculate the expected count

expected value = ∑(x)/n

= (40 + 33 + 35 + 32 + 60)/5

= 200/5

= 40

Now we need tocalculate the test statistic value

Observed  expected  O - E    (O - E)^t/E       %

40                40             0            0                   0

33                40             -7          1.225          9.11

35                40             -5          0.625         4.65

32                40             -8         1.6                11.90

60                40             20        10                 74.35

Chi square test is 13.45

Therefore, the value of test statistics is 13.45.

To learn more about test staistics refer here

https://brainly.com/question/15980493

#SPJ4

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

Answer:

excuse me so as not to steal ur points chat me up so I can solve it better

An equation is formed when two equal expressions. The equation of the line passing through the intersection and the point (-5,2) is y=(-0.3781)x+ 0.1092.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given the two equations x + 3y=0 and 4x − 4y −13=0. The intersection of the equation can be found as,

Solve the first equation for x,

x+ 3y = 0

x = -3y

Solve the second equation, by substituting,

4x − 4y −13=0

4(-3y) − 4y −13=0

-12y - 4y -13 = 0

-16y = 13

y = 13/(-16)

y = -0.8125

Substitute the value of x,

x = -3y

x = -3(-13/16)

x = 39/16

x = 2.4375

Hence, the coordinate of the point of intersection is (2.4375, -0.8125).

Now, the slope of the line passing through the intersection and the point (-5,2) is,

Slope, m = (2 + 0.8125)/(-5-2.4375)

              = -2.8125/7.4375

              = -0.3781

Substitute the slope and the coordinate in the equation of the line,

y = mx + c

2 = (-0.3781)(-5) + c

2 - 1.89 = c

c = 0.1092

Hence, the equation of the line passing through the intersection and the point (-5,2) is y=(-0.3781)x+ 0.1092.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

#SPJ2