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
Miranna teaches gymnastics lessons at summer
camp. She is paid $12.50 per hour.
If Miranna were offered a raise of 100% of her hourly
rate, how much would she be paid?
Answers
A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.
The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.
The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.
These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.
Which choice shows how to combine h and d to build f
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Answer: f(t)=h(t)+d(t)
f(t)=-16t^2+15t+6
Step-by-step explanation:
I just got this question right
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Answers
I'm having trouble answering this question is it possible someone can answer this ASAP?
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Answer:
c. it is 185 cm squared all you do is add the sides and time them
A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function
f(x) = 435 + 1200x, where x is measured in weeks.
What is the meaning of the coefficient 1200?
Answers
Answer:
maybe the amount of money by each student
Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length
Answers
Answer:
a) The piece of pizza she should choose is BE
b) The length of the cheese in her piece of the crust is approximately 20.07 inches
Step-by-step explanation:
The given diameter of the pizza, AE = 20 in.
The measure of the arc AB, [tex]m\widehat{AB}[/tex] = ∠ACB = 65°
The measure of the arc DE, [tex]m\widehat{DE}[/tex] = ∠DCE = 110°
Given that AE is the diameter of the circular pizza, we have;
[tex]m\widehat{BE}[/tex] = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°
Similarly;
∠ACD = 180° - ∠DCE = 180° - 110° = 70°
a) The biggest piece of pizza is the piece with the largest angle which is the piece formed by arc BE, [tex]m\widehat{BE}[/tex] = 115°
The piece of pizza she should choose is the piece, BE
b) Arc length = (Arc angle)/360 × (Circumference of the circle)
The circumference of the circular pizza, C = π × Diameter = π × length [tex]\overline {AE}[/tex]
∴ C = π × 20 in.
The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07
The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.
Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5
Answers
9514 1404 393
Answer:
y = x + 4
Step-by-step explanation:
For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.
y = x - 3 + x + 2 - x + 5
y = x +4
What is the area of the polygon below?
Answers
Answer:
65 units²Step-by-step explanation:
The polygon is the combination of two rectangles.
Sides of the greater rectangle:
3 - (-8) = 11 and-2 - (-7) = 5Sides of the smaller rectangle:
0 - (-5) = 5 and-7 - (-9) = 2Area of the polygon:
11*5 + 5*2 = 65 units²Simplify.
(6^2)^4
O 6^6
O 6^8
O 36^4
0 6^2
Answers
Answer:
its b and c dude
Step-by-step explanation:
Answer:
6^8
Step-by-step explanation:
Hope that helped!
Plz, mark brainiest, only 3 more till I level up!
Have a great day!!
Solve for x
4/x = 2/7
Answers
x=14
Given 300mL of a gas at 17.0 degrees Celsius, what is the volume at 10 degrees Celsius if the pressure remains constant?
Answers
Answer:
292.75mL
Step-by-step explanation:
From the ideal gas equation
PV= nRT
With each symbols having standard meaning
For pressure remaining constant the equation for two states can be written as
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K
Now plugging values in above equation to find V_2
[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]
Therefore, the volume at 10 degrees Celsius = 292.75mL
A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi
Answers
Answer:Hey I go to ohva the answer is c
Step-by-step explanation:I took the test
The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
A flower shop sells two types of Iris flowers: first flower and second flower.
The data is shown in the picture.
As we know, the median is the mid-value.
The min value for the first flower = 45
The min value for the second flower = 30
Q1 value for first flower = 51
Q1 value for second flower = 40
Difference between min and Q1 for first flower = 6
Difference between min and Q1 for second flower = 10
6 < 10
Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.
Learn more about the median here:
brainly.com/question/21396105
#SPJ2
How to find Gradient and y intercept
Answers
Find two points on the line and with those two points, calculate the difference in height(y coordinates) divided by the difference in width(x coordinates). If you get a positive value, then your line will be uphill.
Y-intercept:
Use y=mx+b
Find the slope first using the slope formula which is y2-y1 OVER x2-x1. Once you have that, take a point from the line and substitute the x and y coordinates along with the slope into y=mx+b.
So if your slope was 2/1 and your point was (4,8), it would be:
8=2(4)+b
8=6+b
*subtract 6 from both sides*
b=2
whats the scale factor from shape a to shape b
Answers
Answer:
scale factor = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]
Then
[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3x = 75 ( divide both sides by 3 )
x = 25
and
[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5y = 54 ( divide both sides by 5 )
y = 10.8
what us 3×3+7×7 but I have to find the answer
Answers
Answer:
58
Step-by-step explanation:
3 * 3 is 9 + 7 * 7 is 49 so 9 + 49 equals 58
Answer:
58
Step-by-step explanation:
Following the Order of Operations, you'd put parenthesis around the two threes and the two sevens, making it (3*3)+(7*7) which equals 9 + 49 and results in the number 58.
Can someone help me ASAP
Answers
Watching your neighbors toddlers for $15/1.5 hours or babysitting your cousins for the day for $60/8 hours. Which one pays more?
Answers
Answer:
.
Step-by-step explanation:
Answer:
Babysitting your cousins
Step-by-step explanation:
Becauss 15/1.5 is 3. And 60/8 is 7.5
Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.
Answers
Answer:
Add 1 and 6, then divide by 2 and multiply by 3.
Step-by-step explanation:
Which steps are correct to solving this?
Answers
Answer:
it will mist likely be A hope this helps
At a concert 3 out of 10 people who entered the Alamodome Nike shoes based on this information if there are 1200 people add the music concert how many people could be expected to be wearing Nike shoes?
Answers
Complete Question
At a concert 3 out of 10 people who entered the Alamodome wore Nike shoes based on this information if there are 1200 people at the music concert how many people could be expected to be wearing Nike shoes?
Answer:
360 people
Step-by-step explanation:
The fraction of people wearing Nike shoes = 3/10
The total number of the people at the concert = 1200 people
Therefore, the number of people cthat ould be expected to be wearing Nike shoes is calculated as:
3/10 × 1200 people
= 360 people
The answer is 360 people
The amount of medication in a patient's bloodstream decreases exponentially from the time the medication is administered. A patient is administered a 300 mg dose of medication that decreases by 25% in the bloodstream each hour. Which function models this situation?
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what is the volume of the triangular prism below
Answers
Answer:
246.2
Step-by-step explanation:
Hope this helps!
how to graph y=2x-4
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serious answers only<3 i really need to get this done before i get grounded and i used to be good at math but during quarantine all of my skill just went away
Answers
Answer:
-3 1/2
Step-by-step explanation:
-4.5 + 1 = -3.5
Hey guys. So I'm doing a basic program for a battle game in Javascript, and I've having trouble on this one question. (subtraction)
If I have one number like 20, then 3 numbers such as 2, 4 and 7, I could easily find out which number in those 3 i subtracted by. For example if I had 18 as the answer, then I could do 20 - 18 and get 2 from the 3 numbers.
But how do I do that twice? or three or more after that one time? how would I know which one I picked after? (after the number is used once, it can still be used forever on, it's always random)
Answers
Answer:
can i show you how to do it
Step-by-step explanation:
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answers
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance
Answers
Answer:
At least 98 is needed in the 5th game
Step-by-step explanation:
The missing parameters are:
[tex]Game\ 1 = 95[/tex]
[tex]Game\ 2 = 91[/tex]
[tex]Game\ 3 = 77[/tex]
[tex]Game\ 4 =89[/tex]
[tex]Mean = 90[/tex] at least
Required
The score in game 5 to make you advance
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
So, we have:
[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]
[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]
The mean must be at least 90.
So, we have:
[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]
Multiply both sides by 5
[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]
[tex]352 + Game\ 5 \ge 450[/tex]
Make Game 5 the subject
[tex]Game\ 5 \ge450 - 352[/tex]
[tex]Game\ 5 \ge 98[/tex]
At least 98 is needed in the 5th game
Gretel peeked around the bush and spied 345 leprachauns gathered in the glen. If this was 15 percent more than Petros spied under the tree, how many leprachauns did Petros spy?
Answers
A grocery store clerk put only packages of flour tortillas and
packages of corn tortillas on a shelf. The ratio of the number of
packages of corn tortillas to the total number of packages on the
shelf was 6 to 18.
Which number could be the number of packages of flour tortillas the
clerk put on the shelf?
F.
10
G.
20
H.
24
J.
32
Answers
Answer:
10
Step-by-step explanation:
9. What is the correct factorization of
x2 + 13x + 30?
Answers
Answer:
(x+3)(x+10)
Step-by-step explanation:
sorry I don't know how I should explain it....
