The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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help please its 100 points if u get this right! ty have a nice day !
Answer:
6 mm²
Step-by-step explanation:
1/2 x 3 x 4 = Area of triangle
=> 2 x 3 = Area of triangle
=> 6 mm² = Area of triangle.
Hoped this helped.
Answer:
It's 15
Step-by-step explanation:
Anneyonghaseyo,
plss can anyone solve this it's urgent (+_+)
15 points
Anneyonghaseyo!!
Radius = 10.5 m
Diameter = 10.5 × 2 = 21 m
Circumference = πd
= 22/7 × 21
= 66 m.
Cost of fencing 1 metre = ₹ 4
Cost of fencing 2 rounds = ?
2 rounds = 2 × circumference
= 2 × 66
= 132 m
Cost of fencing 2 rounds = 132 × 4
= ₹ 528.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
(a−2b)^3 when a=−4 and b=−1\2
Answer:
- 125
Step-by-step explanation:
A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters
Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many house points do class 2 have?
Answer:
Class 2 has 210 house points.
Step-by-step explanation:
630/3 = 210
1 = 210 x 2 = 420
2 = 210
420 + 210 + 630
help me i need help!!!!!!!!!
Answer:
y=88
Step-by-step explanation:
Angles in a triangle equal 180
45 + 47 = 92
180 - 92 = 88
Answer:
88
Step-by-step explanation:
The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.
Can you tell me how and what the answer is
Answer:
-2
Step-by-step explanation:
the formula for finding slope using points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). using this with the points (0,3) and (1,1) gets us (1-3)/(1-0) = -2/1 = -2. so the slope is -2
Answer:
-2
Step-by-step explanation:
The slope of a line is defined as the difference in y, divided by the difference in x. [tex]m= \frac{\Delta y}{\Delta x} =\frac{3-1}{0-1} = \frac2{-1} = -2[/tex]
the nth The nth term of a sequence is n-4 what is the tenth term
Step-by-step explanation:
the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6
n-4 is the rule of the sequence.
Simply replace "n" with a number and solve your equation.
For example, if you are finding the 5th term, you do it like this:
= n - 4
= (5) - 4
= 1
Now, as you asked, the tenth term:
= n - 4
= (10) - 4
= 6
Sam made $189 for 9 hours of work. At the same rate, how many hours would he have to work to make S147?
Answer: 7 hours
Step-by-step explanation:
$189/9 hr = $21/hr
$21/hr(x) = $147
x = 147/21
x = 7 hours
Answer:
7 hours
Step-by-step explanation:
We know 9 hours of work paid $189
to find how much Sam makes in one hour we divide the amount made by the time it took to make it
189 / 9 = 21 dollars per hour
then we know she would like to make $147 more at a rate of $21/hr so
147 / 21 = 7 hours
Seven less than one-third a number is greater than six more than one-fourth the
number.
Answer:
The number is 60
Step-by-step explanation:
A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week
Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches
Setting up the relationship thus :
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
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Hey guys! Do you mind helping me with these two problems? Thank you!
Answer:
B
Step-by-step explanation:
All are whole numbers not real numbers not
help needed please im stuck
Answer:
a) b^3
b) x^3
Step-by-step explanation:
It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.
a)[tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]
__
b)[tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]
Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y = \frac{1}{8} x + 2[/tex]
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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Help please I really need it!!!
Answer:
They are similar
Step-by-step explanation:
If a triangle has the same two angle as another one it means that they are similar triangles. this is because all triangles have 180 degrees shared between all of the angles in them. that is the case for these triangles.
hope this helps!
what is the unit rate if there are 80 miles driven using 4 gallons of gas
A. 21 miles per gallon B. 20 miles per gallon
C. 22 miles per gallon D. 19 miles per gallon
A shop increases all its prices by 10%. Calculate the new price for an article which was previously sold for £7,500
Answer:
Your answer is 8250
Step-by-step explanation:
STEPS:
7500 x (1+0.1)
7500x1.1 = 8250
Hope this helped :)
in the diagram below M is the midpoint of KL
Is this graph proportional or non-proportional? How do you know?
Answer:
It is a proportional graph.
Step-by-step explanation:
By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.
8b–9b–5b+7b
Simplify the expression:
Answer:
b, or 1b
Step-by-step explanation:
First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.
need help with 7 urgently!!!
Answer:
1x
Step-by-step explanation:
A submarine is cruising at an elevation of
-250/3 meters below sea level, then
descends another 120% meters into the
sea. What is the new location of the
submarine?……NO LINKS
Answer:
Step-by-step explanation:
these are two different questions .
first i solve first
position of submarine= -250/3 meters below see level
height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m
new location=-250/3+(-100)=-650/3 below see level.
2nd question
position of submarine=-250 2/3=-752/3 m below see level
height descended=120 5/8=965/8 m =-965/8 m below see level
new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.
A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84
The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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A triangle has two side of lengths 10 and 14. What value could the length of the third side be?
Use the Pythagorean Theorem [tex]a^2 + b^2 = c^2[/tex].
Since we have 2 sides we can easily solve for the third.
[tex]c^2 = 10^2 + 14 ^2[/tex]
[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
880 feet per hour.
Step-by-step explanation:
26 inches to foot = 2.2
9 seconds to hour = 0.0025
2.2/0.0025 = 880 feet per hour.
If you need any more help please let me know and i will make a video for you.
There are 11 counters in a bag.
8 of the counters are green.
3 of the counters are blue.
Sid takes at random two counters from the bag.
Work out the probability that Sid takes one counter of each colour.
Answer:
For a green and a blue P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218
For a blue and a green P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218
The probabilities are the same
The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.
What is an additional rule of probability?When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,
[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]
There are 11 counters in a bag. In which,
8 of the counters are green.3 of the counters are blue.Sid takes at random two counters from the bag. Probability that Sid takes green counter is,
[tex]P(A)=\dfrac{8}{11}[/tex]
The probability that Sid takes blue counter is,
[tex]P(A)=\dfrac{3}{11}[/tex]
The probability that Sid takes one counter of each color is,
[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]
Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.
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The Roosevelts and the Jaspers live in the same city and pay the same sales
Roosevelts made $91,000 and the Jaspers made $37,000 last year, is the
sales tax in their city an example of a regressive tax?
tax rate, and both families made $16,000 in taxable purchases last year. If the If
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
hoy guys bilangin nyo to pag mali sagot nyo report ko!!
there is 114 in there
(ig?)
please help, i don’t know how to work this out!!
Answer:
40 degrees
Step-by-step explanation:
so, a triangle is 180 degrees. you know that one angle is 60 degrees.
180= 60+ 2x + x
this is the equation of the triangle
120=3x
simplify
40=x
x= 40 degrees
hope this helps :)
