Which of these sentences is always true with a parallelogram?
A.) all sides are congruent
B.) all angles are congruent
C.) the diagonals are congruent
D.) opposite angles are congruent
Answer:
Opposite angles are congruent
Step-by-step explanation:
The parallelogram has parallel opposite sides and also the opposite sides are congruent. Few other properties of parallelogram are -
It has two pairs of parallel opposite sides. Its diagonals bisect each other.It has two pairs of equal opposite angles. It has two pairs of equal and parallel opposite sides.So, the answer is D.) opposite angles are congruent.
Answer:
D. Opposite angles are congruent.
Step-by-step explanation:
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PLEASE HELP
Three times the number of blue marbles exceeds twice the number of red marbles by 18 also five times the number of blue marbles is two less than six times the number of red marbles how much of each are there
What is the product? Zx(x-4)
The product of Zx (x-4) is:
Zx2 - 4Zx
Explanation and Solution:
Multiply Zx to each term of the expression inside the parenthesis
Zx multiplied by x is equal to Zx2
Zx multiplied by -4 is equal to -4Zx,
Combining all the product, we have Zx2 - 4Zx as the answer.
PS. The x2 there is X squared
If point P is at the center of the circle, and the length of equals 12 inches, which is the length of AP?
a)4.5 inches
b)6 inches
c)9 inches
d)12 inches
I need help please with these two questions.
1. What is the volume of this sphere? (First Picture)
8π cm³
16π cm³
27π cm³
36π cm³
2. What is the volume of this sphere? (Second Picture)
Use 3.14 for pi and round to the nearest hundredth when necessary.
615.44 cm³
2461.76 cm³
11,488.21 cm³
91,905.71 cm³
Answer:
(1) Volume of a sphere is [tex]36 \pi\ cm^{3}[/tex] .
(2)volume of the sphere is 11488.21 cm³ .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ sphere = \frac{4}{3} \pi r^{3}[/tex]
Where r is the radius of the sphere .
Part First
As given the radius of the circle is 3cm .
Putting values in the formula
[tex]Volume\ of\ a\ sphere = \frac{4\times 3\times 3\times 3}{3} \pi[/tex]
[tex]Volume\ of\ a\ sphere = \frac{108}{3} \pi[/tex]
[tex]Volume\ of\ a\ sphere = 36 \pi\ cm^{3}[/tex]
Therefore the volume of a sphere is [tex]36 \pi\ cm^{3}[/tex] .
Second Part
As given
Diameter of the sphere is 28 cm .
[tex]Radius (r) = \frac{Diameter}{2}[/tex]
[tex]Radius (r) = \frac{28}{2}[/tex]
[tex]Radius (r) = 14\ cm[/tex]
[tex]\pi = 3.14[/tex]
Putting all the values in the formula
[tex]Volume\ of\ a\ sphere = \frac{4}{3}\times 3.14\times 14\times 14\times 14[/tex]
[tex]Volume\ of\ a\ sphere = \frac{4\times 3.14\times 14\times 14\times 14}{3}[/tex]
[tex]Volume\ of\ a\ sphere = \frac{34464.64}{3}[/tex]
[tex]Volume\ of\ a\ sphere =11488.21\ cm^{3}[/tex]
Therefore the volume of the sphere is 11488.21 cm³ .
1. The volume of the sphere is 16π cubic centimeters, which matches option B.
2. The correct answer for the volume of the second sphere is:
C. 11,488.21 [tex]cm^3[/tex]
1. For the sphere shown in the image with a diameter of 3 cm, the correct choice for its volume is:
B. 16π cm³
To calculate the volume of a sphere, we use the formula:
V = (4/3) [tex]\times[/tex] π [tex]\times[/tex] r^3
Where r is the radius of the sphere.
Given:
- Diameter of the sphere = 3 cm
- Therefore, radius (r) = 3/2 = 1.5 cm
Substituting in the formula:
V = (4/3) [tex]\times[/tex] π [tex]\times[/tex] (1.5)^3
V = (4/3) [tex]\times[/tex] π [tex]\times[/tex] 3.375
V = 4 [tex]\times[/tex] π [tex]\times[/tex] 3.375/3
V = 16π cm³
So the volume of the sphere is 16π cubic centimeters, which matches option B.
2.For the second sphere shown with a diameter of 28 cm, to calculate its volume using π = 3.14 and rounding to the nearest hundredth, we follow these steps:
1) Find the radius by dividing the diameter by 2:
Radius = 28 cm / 2 = 14 cm
2) Use the formula for sphere volume: V = (4/3) [tex]\times[/tex] π [tex]\times[/tex] r^3
Substituting the values:
V = (4/3) [tex]\times[/tex] 3.14 [tex]\times[/tex] (14 cm)^3
V = (4/3) [tex]\times[/tex] 3.14 [tex]\times[/tex] 2744
V = 11,488.53 cm^3
3) Rounding to the nearest hundredth as instructed:
V = 11,488.53 cm^3 rounds to 11,488.21 cm^3
Therefore, the correct answer for the volume of the second sphere is:
C. 11,488.21 [tex]cm^3[/tex]
The correct question is:
1. What is the volume of this sphere? (First Picture)
A. 8π cm³
B. 16π cm³
C. 27π cm³
D. 36π cm³
2. What is the volume of this sphere? (Second Picture)
Use 3.14 for pi and round to the nearest hundredth when necessary.
A. 615.44 cm³
B. 2461.76 cm³
C. 11,488.21 cm³
D. 91,905.71 cm³
The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. The scale factor is . A pentagon with a side length of 4. An arrow points to a larger pentagon with a side length of 5
A 0.8 B 1.25 C 4 D 5
Answer:
1.25
Step-by-step explanation:
Find two consecutive even integers such that the smaller added to three times the larger gives a sum of 54
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 10 cm and the height of the pyramid is 11 cm. To get the wax for the candle, Devin melts cubes of wax that are each 3 cm by 3 cm by 3 cm. What is the minimum number of wax cubes Devin will need in need in order to make the candle? Show your work. Please explain.
A dentist had some fish in a fish tank. The dentist added 43 more fish to the fish tank. Now there are 66 fish in the fish tank. How many fish were in the fish tank before the dentist added more?
___fish
Answer:
The dentist had 23 fish before she added 43
Step-by-step explanation:
Carlo wants to join gym.the total gym offers three options for the membership. Option1:pay as you go.pay only $6 each time You work out. Option2: Regular Deal. Pay $50 a month and $2 each time you workout.
miss parks wrote 4 statement to the board and asked the class which one was true. Which statement is true?
A)3 and 2/3 x 4/5 is greater than 3 and 2/3
B)1 and 7/8 x 2 and 1/3 is greater than 2 and 1/3
C)1 and 7/8 x 8/8 is less than 2 and 5/6
D)2 and 3/8 x 4 is less than 4
FOURTH TIME POSTING! EXTRA POINTS!
Complete each function. ( y = -x )
If ΔMNO ≅ ΔPQR, which of the following can you conclude as being true? I'LL MARK BRAINLIEST !!!!
Answer:
NO=QR
Step-by-step explanation:
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Find the hypotenuse of a right triangle with legs measuring 4 and 5 ft. 6.40
ANSWER a=4, b=5, so 42 + 52 = c2 and 16 + 25 = c2, so 41 = c2, then the square root of 41 =c
CAN SOMEONE EXPLAIN HOW TO GET THIS??!!
Answer:
4^2 + 5^2 = X^2
16 + 25 = X^2
41 = x^2
X = sqrt(41)
x = 6.40
hypotenuse = 6.40
Step-by-step explanation:
What is the GCF of the terms of 8x3 − 12x2 + 4x?
A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree. °
Answer: 16
Step-by-step explanation:
A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number of seats in each row
To solve this problem, we must first set up an equation. We are told that the total number of seats in the auditorium is 1344. We are also told that the number of seats in each row exceeds the number of rows by 20.
Let's denote the number of rows as x. Therefore, the number of seats per row is x + 20 (as it exceeds the number of rows by 20). Setting up an equation would be as follows:
x * (x + 20) = 1344
This equation states that the number of rows times the number of seats per row equals the total number of seats.
Solving this equation requires finding the roots of a quadratic equation. We set it up as a quadratic equation ax² + bx + c = 0. Here, a = 1, b = 20, and c = -1344.
Solving a quadratic equation gives us two possible solutions, but in our case, we disregard the negative value, as the number of rows cannot be negative. So, we take the maximum of the two roots.
Solving this equation gives us x = 28.0, which represents the number of rows.
Finally, to find the number of seats in each row, we remember that it exceeds the number of rows by 20. So, we add 20 to the number of rows.
28.0 + 20 = 48.0
So, there are 48 seats in each row.
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A pilot flies 720 miles from dallas, texas, to his first destination. after dropping off his cargo, he flies southeast 290 miles to his second destination. if the angle formed by his trip is 125°, what is the distance he will fly from the second destination back to dallas? 490 miles 918 miles 1,010 miles 842,026 miles
Answer:
B) 918 miles
Step-by-step explanation:
Here with I have attached the figure of the story.
Here we need to find side c, which represents distance from the second destination back to Dallas.
We have to use the cosine formula to find the missing side.
If we are given two sides and one included angle, we can use the cosine formula and find the missing side.
a = 720, b = 290 and ∠C =125°
[tex]c^2 = a^2 + b^2 - 2ab cos C[/tex]
Now plug in the given values and simplify.
[tex]c^2 = {720}^2 + 290^2 - 2*720*290 cos 125[/tex]
[tex]c^2 = 518400 + 84100 - 417600 cos125[/tex]
[tex]c^2 = 602500 - (-239,525.5)\\c^2 = 602500 + 239,525.5\\c^2 = 842025.5[/tex]
Taking the square root on both sides, we get
c = 917.6
Which is equivalent to 918 miles (rounded off to the nearest whole number)
30 POINTS + BRAINLIEST!
The answer is 15.87.
Robby and Tony both took a 25 question test. Robby completed 25 questions and Tony completed 14 questions. Can we conclude that Robby will make a higher grade than Tony? Explain why or why not. -
How many solutions exist for the given equation? 3(x+10)+6=3(x+12)
Ken, Justin, and Tiff have read a total of 90
books from the library. Justin read 3 times
as many books as Ken and Tiff read 2
times as many as Justin. How many books
did Justin read?
helpppppppppppppppppppppppppppp
If a couple has three children, let x represent the number of girls. what is the probability that the couple does not have boys for all three children?
If you work 52 weeks/year and 40 hours/week, how many hours would you work in one year? quizlrt
Final answer:
To find the total hours worked in a year, multiply the number of hours worked per week by the number of weeks in a year.
Explanation:
To calculate the total hours worked in a year:
Hours worked per week = 40 hours
Weeks worked per year = 52 weeks
Total hours worked in a year = 40 hours/week x 52 weeks = 2080 hours
The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilograms more than the average weight of one okapi. On average, how much does an okapi weigh, and how much does a llama weigh?
Llama's weight will be 160kg and Okami's weight will be 290kg.
What is an average?An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
The weight for both will be calculated as below:-
x= Okapi weight
y= Llama weight
There are 2 equations to be written:
1) 450kg is equal to the weight of one Okapi and one Llama.
450kg= x + y
2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.
3y=190kg + x
Solve for one variable in one equation and substitute the answer in the other equation.
450kg= x + y
Subtract y from both sides.
450-y =x
Substitute (450-y) in the second equation in place of x to solve for y.
3y=190kg + x
3y=190 + (450-y)
3y=640 -y
Add y to both sides.
4y=640
Divide both sides by 4.
y=160kg Llama weight
Substitute 160kg in either equation to solve for x.
3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190.
290= x
x= 290kg Okapi weight
Therefore, Llama's weight will be 160kg and Okami's weight will be 290kg.
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A florist sold 15 arrangements in its first month of business. The number of arrangements sold doubled each month.
What was the total number of arrangements the florist sold during the first 9 months?
Answer:
total number of arrangements the florist sold during the first 9 months = 7665 arragements
Explanation:
Florist start a business.
In his 1st month Florist sold 15 arrangement.
He grow his business, he sold twice arrangements as compare to the previous month.
First month = 15
Second month = 2*15 = 30
Third month = 2*30 = 60
15, 30, 60 .....
we need to find the total number of arrangements in first nine months
This sequence is geometric series.
A geometric sequence is a sequence such that any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. The common ratio (r) is obtained by dividing any term by the preceding term, i.e.,
r = [tex] \frac{30}{15} = \frac{60}{30} = 2 [/tex]
Sum of Terms in a Geometric Progression ([tex] S_{n} [/tex])= [tex] \frac{a_{1} (r^{n} -1)}{r-1} [/tex]
where [tex] a_{1} [/tex] is first term = 15
n is the number of terms = 9
r is common ratio = 2
[tex] S_{9} =\frac{15(2^{9}-1)}{2-1} [/tex]
[tex] S_{9} =\frac{15*(512-1)}{1} [/tex]
[tex] S_{9} = 7665 [/tex]
total number of arrangements the florist sold during the first 9 months = 7665.
Answer:7665
Step-by-step explanation:
a fund drive announces that it has raised 4376 which is 20% of its goal. How much more must be raised?
Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. How many of each kind of ticket were sold? Write a system of equations and use substitution to solve.
To solve this problem, set up a system of equations representing the number of student and adult tickets sold. Solve the system using substitution to find the numbers of each type of ticket sold.
Explanation:To solve this problem, we can set up a system of equations to represent the number of student tickets and adult tickets sold.
Let x be the number of student tickets sold and y be the number of adult tickets sold.
We know that the total number of tickets sold is 150, so we have the equation:
x + y = 150
We also know that the total amount collected is $1000, so we have the equation:
3x + 8y = 1000
We can solve this system of equations using substitution.
From the first equation, we can solve for x in terms of y as:
x = 150 - y
Substituting this into the second equation, we have:
3(150 - y) + 8y = 1000
Simplifying, we get:
450 - 3y + 8y = 1000
Combining like terms, we get:
5y = 550
Dividing both sides by 5, we get:
y = 110
Substituting this value back into the first equation, we have:
x + 110 = 150
Simplifying, we get:
x = 40
Therefore, 40 student tickets and 110 adult tickets were sold.
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
The value of x in the given figure is, [tex]34^{\circ}[/tex]
Step-by-step explanation:
Complementary angle states that the two angles sum up to 90 degree.
From the given figure
[tex]x^{\circ}[/tex] and [tex]56^{\circ}[/tex] are complementary angles.
by definition of complementary angles;
[tex]x^{\circ} +56^{\circ} = 90^{\circ}[/tex]
Subtract [tex]56^{\circ}[/tex] from both sides we get;
[tex]x^{\circ} = 90^{\circ} -56^{\circ}[/tex]
Simplify:
[tex]x = 34^{\circ}[/tex]
therefore, the value of x in the given figure is, [tex]34^{\circ}[/tex]