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 FOR BRAINLIEST!!
Answers
Answer:
a)
Verify is the corresponding sides have same ratio:
AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6Since the ratios are same, the triangles are similar
b)
If one dimension is same, the base areas will make difference by the square of the scale factor:
(6/5)² = 1.44 timesRelated Questions
if log y=3(log 4 + log x), express y in terms of x. serious answers only please no files or nun of that.
Answers
Answer:
The expression is [tex]y = 64 + x^{3}[/tex].
Step-by-step explanation:
Let be [tex]\log y = 3\cdot (\log 4 + \log x)[/tex], the "log" component is refered to logarithms with base 10. By definition of logarithm and its properties, we derive an expression of [tex]y[/tex] in terms of [tex]x[/tex]:
[tex]\log y = 3\cdot (\log 4 + \log x)[/tex]
[tex]10^{\log y} = 10^{3\cdot (\log 4 + \log x)}[/tex]
[tex]y = 10^{3\cdot \log 4}+10^{3\cdot \log x}[/tex]
[tex]y = 10^{\log 4^{3}}+10^{\log x^{3}}[/tex]
[tex]y = 64 + x^{3}[/tex]
The expression is [tex]y = 64 + x^{3}[/tex].
Andrew has a monthly cell phone bill. He pays a
monthly fee and a cost per minute. The graph to the
right shows his
cost per month depending on the
minutes used. What is the monthly fee for Andrew's
phone bill?
A. $49
B. $120
C. $60
D. $72
Answers
Answer:
C, $60
Step-by-step explanation:
It is where the graph starts even with 0 minutes.
x+y=-9. I need help asap! Thank you!
Answers
Answer: -5 and -4
Step-by-step explanation:
Answer:
-6, -3
-9, 0
20, -29
-5,-4
etc.
Step-by-step explanation:
There are many. Did they give you any other info???
how many ounces are equal to 1 1/2 pounds
Answers
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?
Answers
hope this helps
Answer:
it is a decrease
Step-by-step explanation:
hope that this helps
also why is this question so easy for a high schooler im in middle school and was able to figure it out
Select the correct answer.
Consider the first four terms of the sequence below.
-3, -12, -48, -192, . . .
What is the 8th term of this sequence?
A.
-196,608
B.
-49,152
C.
-12,288
D.
-768
Answers
Answer:
D
Step-by-step explanation:
The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
Consider the first four terms of the sequence are,
⇒ -3, -12, -48, -192, . . .
Here, Common ratio is,
⇒ - 12 / - 3
⇒ 4
Thus, The sequence are in Geometric sequence.
Hence, The value of 8th term of this sequence is,
⇒ a (8) = - 3 × (4)⁸⁻¹
⇒ a (8) = - 3 × 4⁷
⇒ a (8) = - 3 × 16,384
⇒ a (8) = - 49,152
Thus, The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
Learn more about the geometric sequence visit:
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Find the radius of a circle with an area of 1017.36 in?, Use 3.14 for pi
Answers
area of a circle = πr², where r = the radius of the circle
We can rearrange the formula to solve for r:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}}.[/tex]
Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.[/tex]
The temperature was less than -15°C. Write an equality and three possible solution.
Answers
Answer:
x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).
3 Possible Answers:
-38*C
-26*C
-57*C
Step-by-step explanation:
Inequality:
x = temperature
< = less than
-15*C = the amount the temperature was less than
3 Possible Outcomes:
Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!
answer 2x + 5 = 4x - 5
Answers
Answer:
QUESTION:
answer 2x + 5 = 4x - 5
ANSWER:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 5
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Answer:
x = 5
Step-by-step explanation:
2x + 5 = 4x - 5First you will need to add 5 to each side.
2x + 10 = 4xThen you need to subtract 2x to each side.
10 = 2xLastly, you will need to divide each side by 2.
5 = xHave a nice day!The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answers
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
In ΔFGH, the measure of ∠H=90°, FG = 94 feet, and HF = 73 feet. Find the measure of ∠G to the nearest degree.
Answers
Answer:
51
Step-by-step explanation:
Pleas help! this is very hard!
Answers
Answer:
190
72
36
Step-by-step explanation:
Answer:
190
72
36
hope that helps
y=6x+4
y=-3-5
how would you find the x and y values?
Answers
Step-by-step explanation:
Substitution
substitute -3-5 into y
it becomes -3-5=6x+4
solve the equation to find the answer for X
then substitute the value of X you found again into the equation to find Y
Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.
Answers
Answer:
12.7
Step-by-step explanation:
[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]
Evaluate the expression for v = 8
Answers
V = 8, because it can’t be simplified any further.
Tell whether the side lengths 18, 24, and 30 would form a right triangle?*
O Yes
O No
O Not enough information
Answers
Answer:
yes 18 24 and 30 does form a right triangle
what is 8 030 070 in words
Answers
Answer:
eigth million thirty thousand seventy
If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability that both Wes and Maureen would be selected as the two students to go to Washington? Is this still an example of independent events
Answers
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
Given that, Wes and Maureen were in the government class of 38 students.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Total number of outcomes =38
Number of favourable outcomes = 2
So, probability =2/38
= 1/19
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
To learn more about the probability visit:
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A manager at a factory finds that in a random sample of 250 watches, 3 are defective. Of the 7,500 watches from which the sample was chosen, about how many watches are not defective?
Answers
Answer: 7410 watches
Step-by-step explanation:
From the random sample of 250 watches, 3 are defective. The percentage that's defective will be:
= 3/250 × 100
= 1.2%
Percentage that's not defective = 100 - 1.2 = 98.8%
Therefore, from the sample of 7500 watches, the number that's not defective will be:
= 98.8% of 7500
= 98.8/100 × 7500
= 7410
Therefore, 7410 watches aren't defective
Shannon graphed the system of equations.
7x – 4y= –8
y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3
A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.
What is the closest approximate solution to the system of equations?
(–5, –7.2)
(–5, –6.8)
(–5, –6.2)
(–5, –5.9)
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i need help can someone help me
Answers
the mode is $6.00
thats the number there is the most of
Write a number y divided by 6 as an expression.
Answers
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 8 calories per square
inch, how many calories did he eat?
Answers
Answer:
175.929
Step-by-step explanation:
7pi = area of half of pizza
21.99x8 = calories in half of pizza
Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Answers
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)
Rebecca wants to prove that if the diagonals in parallelogram are perpendicular, then it is a rhombus. Select the appropriate rephrased statement for Rebecca's proof
Answers
Answer:
The answer is C
Step-by-step explanation:
Khan Academy
Answer:
C
Step-by-step explanation:
1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answers
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation:
What is the center and radius of the circle?
(x-1)^2 + y^2= 36
Answers
Answer:
Center = ( 1, 0)
Radius = 6 units
Step-by-step explanation:
[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]
Pls help What is the volume of the following pyramid?
Answers
Answer:
It is c) 18 cm^3
Step-by-step explanation:
[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]
I hope that is useful for you :)
At Johnny's Swimwear, 75% of the 100 swimsuit styles are bikinis. How many bikini styles are there?
Answers
Answer:
75 swimsuits are bikinis
Step-by-step explanation:
75% as a fraction is 75/100, so 75 of the 100 swimsuits are bikinis.
Answer:
There are 75 bikini styles
Step-by-step explanation:
This is because 75% of 100 is 75 and if there are 100 different styles of swinsuits and 75% of them are bikinis then there are 75 different bikini styles
At the craft store, Maureen bought a bag of yellow and red marbles. She received 30 marbles in all. 24 of the marbles were yellow. What percentage of the marbles were yellow?