Answer:
5, -7
Step-by-step explanation:
Answer:
5 and -7
Step-by-step explanation:
The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.
Answer:
-1.88cm/min
Step-by-step explanation:
Given
dh/dt = 1.5cm/min
dA/dt = 3.5cm²/min
Height h = 10cm
Area A = 86cm²
Required
db/dt
b is the base
h is the height.
Area of a triangle A = 1/2bh
dA/dt = dA/db•db/dt + dA/dh •dh/dt
dA/db = h/2 = 10/2 = 5cm
Get the base
86 = 1/2(10)b
5b = 86
b = 17.2cm
dA/ dh = 1/2b = 1/2(17.2)
dA/dh = 8.6cm
.substitute given values into the formula above;
dA/dt = dA/db•db/dt + dA/dh •dh/dt
3.5 = 5 db/dt + 8.6(1.5)
3.5 = 5 db/dt + 12.9
5 db/dt = 3.5-12.9
5 db/dt = -9.4
db/dt = -9.4/5
db/dt = -1.88cm/min
Hence the base is changing at -1.88cm/min
A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer:
3/8 gramsStep-by-step explanation:
1 tablet ⇒ 1/4 gramsMultiply the amount of tablets by 1/4 to find the answer
1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 gramsR=14 pie=3.14 round to the nearest hundreths
Answer:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Step-by-step explanation:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Answer:
6
Step-by-step explanation:
The way you wrote it, it is already rounded.....
The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".
pi--rounded off in decreasing precision:
3.14159
3.1416
3.142
3.14
3.1
3
Watch out for a trap in rounding:
Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.
in the figure, △ABC is similar to △DEF. what is m∠1
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?
The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?
Will make you brainliest!!! If correct!!
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )
y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )
What strategy can you use to solve rate problems?
1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.
Answer:
yes
Step-by-step explanation:
Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y - 7 = 5(x + 7).
Step-by-step explanation:
The slope m (7--3)/ (-7- -9)
= 10 / 2 = 5.
y - y1 = m(x - x1)
Using the point (-7, 7):
y - 7 = 5(x + 7).
si el dominio de la función f(x)= 3x-2 es el conjunto {1,2,3} y su contradominio es el conjunto {1,4,7,10}. ¿Cuál es el rango de la función?
Answer:
I don't speak Spanish sorry
What is the formula for the area of a square?
Answer:
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Answer:
lxwxtor you can up it in the calculator
The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
days
You and 5 friends are in a math club. A sponsor pays $75 to rent a bus to get to competition, a $100 entry fee for the team, and D dollars for each students t-shirt. Write an expression for the total amount the sponsor paid.
Answer:
Total amount paid by the sponsor = 175 + 6d
Step-by-step explanation:
You and 5 friends = 6 people
Cost of renting a bus = $75
Team entry fee = $100
Cost of each student t shirts = $d
Cost of 6 student t shirts = $d × 6
= $6d
Write an expression for the total amount the sponsor paid.
Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts
= $75 + $100 + $6d
= $175 + $6d
Total amount paid by the sponsor = 175 + 6d
Where,
d = cost of each student t shirts
a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?
Drag the missing statements and reasons to the correct spot to complete the proof
Answer:
See attached
Step-by-step explanation:
Answer is attached
At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent
Answer:
$4.54
Step-by-step explanation:
Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.
Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?
it was reflected in the x-axis
it was rotated 270°
it was reflected in the y-axis
it was rotated 90° around the origin
Answer:
it was reflected over the x axis
Step-by-step explanation:
.......
A circular oil spill in the ocean is increasing in diameter at a rate of 200 feet per hour. By how many square feet is the oil spill increasing per hour?
Increase in diameter: d(h) = 200h; h in hours
Increase in area: A(d) = π(0.5d)2; d in feet
Which composite function represents the total area of the oil spill as a function of hours?
Answer:
A(d(h)) = π(100h)2
Step-by-step explanation:
In edge it would be C
When solving these word problems it is helpful to remember that they ask us to use composition of functions to solve it so if it is the total area in regards to hours, what you would need to do look at the problem in this manner:
A( (d(h) )= A (Pi(0.5x200h)^2
and when you simplify like terms it would be:
Pi(100h)^2
True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times
Answer:
True
Step-by-step explanation:
No need for explanation
I need a lot of help
Answer:
D
Step-by-step explanation:
3. A bag
contains 8red balls and 6 white balls. Two balls
are randomly drawn one after another without replace
mondo. Find the probability, of getting balls of diffecent colors
=================================================
Work Shown:
We have 8 red and 6 white giving 8+6 = 14 total
The probability of selecting red is 8/14.
After that ball is not replaced, we have 14-1 = 13 balls left. The number of white balls will not go down since only the red ball count goes down.
The probability of selecting white on the second selection is 6/13
---------------------------------------------------------------
So we can say
P(red first, then white) = P(red first)*(white second, given red first)
P(red first, then white) = (8/14)*(6/13)
P(red first, then white) = (8*6)/(14*13)
P(red first, then white) = 48/182
P(red first, then white) = 24/91
Let's label this as A.
A = 24/91
That way we can come back to it later.
---------------------------------------------------------------
Now let's say we pick white first, then red
So we'd have the following.
P(white first, then red) = P(white first)*(red second, given white first)
P(white first, then red) = (6/14)*(8/13)
P(white first, then red) = (6*8)/(14*13)
P(white first, then red) = 48/182
P(white first, then red) = 24/91
Let B = 24/91
---------------------------------------------------------------
Now we add up the values of A and B
A+B = 24/91 + 24/91
A+B = (24+24)/91
A+B = 48/91
there are 23 people attending a luncheon if a table can hold three people how many tables do they need
Answer:
8
Step-by-step explanation:
Answer:
8 tables
Step-by-step explanation:
23 isn't a multiple of three but 24 is
24/3 = 8
They need eight tables. One table will have only two people sitting at it instead of three
Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.
Company B is cheaper by $180.
Company A is cheaper by $8,000.
Company B is cheaper by $8,000.
Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.
Answer:
Company B is cheaper by $180.
Step-by-step explanation:
just do 1,200 square feet x 0.15 = 180
Answer:
b as in big cat
Step-by-step explanation:
what is 328.618 round to the nearest hundredth
A. 300
B. 328.60
C. 330
D. 328.62
Answer:
D. 328.62
Step-by-step explanation:
328.618 round to the nearest hundredth
Rounding to the nearest hundredth means 2 numbers after the decimal point
Numbers that rounds to 1 are 5, 6, 7, 8, 9
Number that rounds to 0 are 0, 1, 2, 3, 4
When rounding up, to the nearest hundredth, you will consider the next number after the two figures after the decimal point
Here, the next number after the two figures after the decimal point is 8
8 is a number that rounds to 1
Therefore, add 1 to 1 to have
328.62
Someone help solve this pleAse and ty!!!
Answer:
1
Step-by-step explanation:
it has to be the same slope and only slope that is right is 1.
What is 4 ÷
3
5
pls help me i am time
Answer: 1.25 and .8
Step-by-step explanation:
Answer:20 over 3
Step-by-step explanation:
Besides 95 and 1, what is one factor of 95?
Answer:
5
Step-by-step explanation:
i’m really tired and don’t feel like doing these math expressions, giving brainliest to whoever answers correctly.
Answer:I believe the answer is the second one.
Step-by-step explanation:
The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?
Answer:
40
Step-by-step explanation:
12 + 28
Answer:
40°
Step-by-step explanation:
So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D