Please help!!!
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ABC for the bases of one prism and DEF for the bases of the other prism.
a) is ABC similar to DEF explain
b) suppose the sculptor makes both prisms with the same height. which prism will have a greater volume? how many times greater? show your work
Answers
Answer:
a) yes, they are similar
b) ΔDEF will have a greater area
1.2 times greater (which is the same proportion as 36/30)
Step-by-step explanation:
a) 40/48 = 0.8333
30/6 = 0.8333
Same ratio so they are similar
b) ΔDEF will have a greater area because EF is longer than BC.
area of ΔABC = 1/2(30)(40) = 600 cm²
area of ΔDEF = 1/2(36)(40) = 720 cm²
720/600 = 1.2 x greater
Related Questions
Mrs. Garcia pays all her bills using online banking and maintains a minimum checking balance of $400. She uses her debit card while shopping and at the ATM. Which banking institution is the best deal for her?
A. banking institution that offers free or low-cost checking accounts has online banking and offers a free debit card.
B. A banking institution that has a low fee for checking accounts and $0.25 or less for writing checks.
C. A banking institution that charges a low monthly checking account service fee, has unlimited check writing, and overdraft protection.
D. A banking institution that has no fee for writing checks and a savings account option.
Answers
Classify the triangle with the given side lengths: 5, 9, 10
Answers
4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.
Answers
Answer:
20 cm
Step-by-step explanation:
So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.
Answer:
20 cm
Step-by-step explanation:
Here's your solution
=> length of rectangle = 16 cm
=> width of rectangle = 12 cm
=> Diagonal of rectangle = √(l^2 + w^2 )
=> Diagonal = √(16^2 + 12^2)
=> Diagonal = √(256 + 144)
=>. Diagonal = √400
=> Diagonal = 20 cm
hope it helps
PLLSSS HELP ME!! Which of the following functions accurately represents f??
Answers
Answer:
C. f(x) = x - 9 is the function that accurately represents f
Step-by-step explanation:
Plug in a value from the table to check which function is correct
1. Plug in x = 3 and check if you get -6.
A. f(3) = -4(3) + 12 = -12 + 12 = 0 -> 0 ≠ -6 so A is not the correct function
B. f(3) = 3(3) + 2 = 9 + 2 = 11 ≠ -6 so B is not the correct function
C. f(3) = 3 - 9 = -6 = -6 so C is the correct function
D. f(3) = -5(3) - 1 = -15 - 1 = -16 ≠ -6 so D is not the correct function
Need help please due tommorw
Answers
Answer:
Solution (4,3)
Step-by-step explanation:
2x-7y= -13
(8x-7y=11)x-1
2x-7y= -13
-8x +7y= -11
[tex]\frac{-bx}{-6} =\frac{-24}{-6}[/tex]
x= 4
__________
2x-7y= -13
2(4)-7y=-13
8-7y= -13
subtract 8 from both sides
[tex]\frac{-7y}{-7} =\frac{-21}{-7}[/tex]
divide by -7
y= 3
hope it helps..
have a great day!!
please help meee please
Answers
Answer:
The answer is Rad 169 or 13 .
Step-by-step explanation:
Hope it helps , good luck .
the are of a kite is 126 cm² and the length of the diagonal is 14 cm,how long is the other diagonal?
Answers
Answer:
i think it's 9
Step-by-step explanation:
A=126cm÷by one diagonal 14
=9
Melanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over. What is the measure in degrees?
Answers
Kaden invested $5,000 into a savings account. The interest was compounded
annually at 2.5%. How much interest will Kaden earn in 30 months?
Answers
Answer:
I think it would be 873.
Step-by-step explanation:
You just have to calculate.
Which graph represents the function y = 2/3x-2?
Answers
Answer:
Graph the line using the slope and y-intercept, or two points.
what is the answer to this equation 3 + 3/2x + 4 = 4x - 5/2x
Answers
Answer:
No solution
Step-by-step explanation:
When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.
By the way, can you follow me on Brainly?
Thanks!
Answer:
x= [tex]\frac{7 (+-) \sqrt{113} }{8}[/tex]
Step-by-step explanation:
Find the surface area of the prism.
13 m
5 m
11 m
12 m
HELP ME ASAP
Answers
Answer: 345.977 m^3
Step-by-step explanation:
The Martinez family picked 3-4 lb of apples. Ana picked 1 of those apples.
How many pounds of apples did Ana pick
Answers
help i’m literally taking the test rn on here looking for the answer
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answers
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?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 constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4
Answers
Answer:
13×1/4
Step-by-step explanation:
turn into improper fraction
Someone please help ASAP
Answers
Michael gets 52% better at press
ups. He used to be able to do 62.
How many can he do now?
Answers
Answer:
94 press ups
Step-by-step explanation:
62 x 1.52 = 94.24
≈94
What is 0.68 expressed an a fraction in simplest form with both the 6 and 8 repeating
Answers
Answer:
68/99
Step-by-step explanation:
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answers
Answer: 11
Students have both a brother and a sister
Step-by-step explanation:
I don't think probability should be used for this question because the answer is quite clear
So in a class of 25 students
5 students don't have a sibling
So 25-5=20
Total number of siblings=14+17=31 siblings in total
So 20 people have 31 siblings
31-20=11
So the answer should be 11
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.
So in a class of 25 students
5 students don't have a sibling
then, 25-5=20
Total number of siblings = 14+17
= 31 siblings in total
So, 20 people have 31 siblings
= 31 - 20
= 11
So, the probability that a student who has a brother also has a sister
= 11/ 25.
Learn more about probability here:
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You are driving to visit a friend in another state who lives 700 miles away. You are driving 65miles per hour and have already driven 375 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.
Answers
Answer:
5 hours
Step-by-step explanation:
distance = rate x time
t = time
(700-375) = 65t
325 = 65t
325/65 = t
5 hours = t
While shopping for clothes, Tracy spent $30 less than 3 times what Jaclyn spent. Tracy spent $24. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent.
Answers
Answer:
24*3-30=x
Step-by-step explanation:
Which of the following is equivalent to 18 + 36? O A. 2(9 + 16) OB. 6(3 +12) O 2 C. 9(2+4) O D. 9(2+36)
Answers
Answer:
the answer is c
Step-by-step explanation:
i got this because distribution property where 9 by 2 is 18 and 9 by 4 is 36 which equals the same amount.
HELP ASAP
Which of the following statements about rotations are true? Select all that apply.
A.
The shape of the figure does not change.
B.
The position of the figure does not change.
C.
The size of the figure does not change.
D.
The orientation of the figure does not change.
E.
The coordinates of the figure do not change.
Answers
Explanation:
A: A rotation is when a figure is turned 90 degrees, 180 degrees, 270 degrees, 360 degrees either clockwise (cw) or counterclockwise (ccw). The size and shape of the figure do not change.
E: A rotation is a type of transformation which is a turn. A figure can be turned clockwise or counterclockwise on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.
Which OnE!?!? Pls help me ฅ^•ﻌ•^ฅ
Answers
the first one
explanation:
the symbol “>” means “more than” so the only one that would make sense is the first one.
If it was the second or last one it would have the less than symbol (<) and if it was the third one i think it would be an equals symbol (=) or something.
In square ABCD, m∠AED=(7x−8)°. What is the value of x?
Answers
Answer:
12
Step-by-step explanation:
The angle equals 90 degrees so (8*12-6) would equal 90
hopefully i helped
NEED HELP ASAP!!!! trigonometric ratios !!!
Answers
Answer:
[tex]\displaystyle 47°[/tex]
Step-by-step explanation:
[tex]\displaystyle csc^{-1}\:1\frac{14}{39} = x; 47,379009047...° \\ \\ \boxed{47° \approx x}[/tex]
OR
[tex]\displaystyle sin^{-1}\:\frac{39}{53} = x; 47,379009047...° \\ \\ \boxed{47° \approx x}[/tex]
I am joyous to assist you at any time.
PLS HELP 20 POINTS
A baseball is hit into the air at an initial height of 4 feet and an initial velocity of 30 feet per second. For how many seconds is it in the air?
Answers
HELP ITS URGENT PLEASEEE
Answers
Answer:
162 degrees
Step-by-step explanation:
We can look at this problem like a circle, the figure is essentially a circle and a circle is equal to 360 degrees. Using this and knowing that the box is equal to 90 degrees you simply subtract 90+108 from 360 to get a.
Which equation shows y = (x − 4) 2 − 3 written in standard form?
Answers
Answer:
2x-y=11 is the standard form
Step-by-step explanation:
You are using a math software program to make a pattern for a plastic part. You draw the pattern on a coordinate plane with units in millimeters and the bottom left corner as the origin. Write an equation for the circular hole.
Someone plz help me >_<
Answers
Answer: (x - 2) ^2 + (y - 6) ^2 = 25
Answer:
(x - 48)² + (y - 24)² = 64Step-by-step explanation:
From the graph we see that
The diameter of the circle is: d = 16 mmThen its radius is: r = 16 mm/ 2 = 8 mmThe center has x-coordinate: h = 40 + 8 = 48Y-coordinate: k = 32 - 8 = 24Use circle formula:
(x - h)² + (y - k)² = r²Substitute values to get required equation:
(x - 48)² + (y - 24)² = 8²(x - 48)² + (y - 24)² = 64