Answer:
81
Step-by-step explanation:
the 5 cm deep cup is 625 which is 5^4
that means that the 3cm deep cup should be 81 which is 3^4
Please need help with the second question and if not hard also the third ^)
WILL GIVE BRAINLEST
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Here's the solution :
1. The given figure is of a Rectangle, and we know that diagnonals of a Rectangle bisects each other.
so, PR = 2 × PT
that is :
PR = 2 × 10 = 20 unitsand both the diagnonals of a Rectangle are equal,
PR = QS = 20 units2. let's take the length of PQ = x and QR = y
Angle RPS = Angle PRQ = 60°
(because they form pair of Alternate Interior angles, which are equal)
By using trigonometry :
[tex] \sin(60) = \dfrac{x}{20} [/tex][tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{20} [/tex][tex]x = \dfrac{20 \times \sqrt{3} }{ {2} } [/tex][tex]x = 10 \sqrt{3} \: \: units[/tex]similarly,
[tex] \cos(60) = \dfrac{y}{20} [/tex][tex] \dfrac{1}{2} = \dfrac{y}{20} [/tex][tex]y = \dfrac{20}{2} [/tex][tex]y = 10 \: \: units[/tex]And now, we know that area of triangle PQR is equal to :
[tex] \dfrac{1}{2} \times base \times height[/tex][tex] \dfrac{1}{2} \times x \times y[/tex][tex] \dfrac{1}{2} \times 10 \sqrt{3} \times 10[/tex][tex]50 \sqrt{3} \: \: unit {}^{2}[/tex]3. Area of Rectangle PQRS :
[tex]length \times width[/tex][tex]x \times y[/tex][tex]10 \times 10 \sqrt{ 3} [/tex][tex]100 \sqrt{3} \: \: unit {}^{2} [/tex]5{[(4+6-8)-4]-(1+2⁴-3+6)}
Answer:
30
Step-by-sçtep explanation:
HIGHWAYS Interstate 90 is the longest interstate highway in the United States, connecting the cities of Seattle, Washington, and Boston,
Massachusetts. The interstate is 4,987,000 meters in length. If 1 mile = 1.609 kilometers, how many miles long is Interstate 90?
Oa 3.099,441 mi
Ob. 3099 mi
Oc. 8,024,083 mi
O d. 8024 mi
=============================================================
Explanation:
4,987,000 meters = 4,987 kilometers
Divide by 1000 to go from meters to kilometers. This is because 1 km = 1000 m. Or in short, we just chop off those last three zeros at the end.
Also, because 1 mile = 1.609 km (approximate), this means we divide by 1.609 when converting from km to miles
So,
4,987 km = 4987/(1.609) = 3,099.4406 miles approximately
This rounds to 3099 miles
----------------
You can optionally show your work like this:
[tex]4,987,000 \text{ m} * \frac{1 \text{ km}}{1000 \text{ m}}*\frac{1 \text{ mi}}{1.609 \text{ km}}\\\\ = \frac{4,987,000*1*1}{1000*1.609} \text{ mi} \\\\\approx 3099.4406 \text{ mi}\\\\ \approx \textbf{3099 mi}[/tex]
Notice that the "km" and "m" units cancel out when going from the first step to the second step. All that's left is the "mile" unit.
What is the result when the number 24 is increased by 6%?
Answer:
24 increased by 6% = 25.44
Step-by-step explanation:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
6% = 6/100 = 6 ÷ 100 = 0.06.
100% = 100/100 = 100 ÷ 100 = 1.
ncrease the number by 6% of its value.
Percentage increase = 6% × 24
New value = 24 + Percentage increase
Calculate the New Value
New value =
24 + Percentage increase =
24 + (6% × 24) =
24 + 6% × 24 =
(1 + 6%) × 24 =
(100% + 6%) × 24 =
106% × 24 =
106 ÷ 100 × 24 =
106 × 24 ÷ 100 =
2,544 ÷ 100 =
25.44
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 24 =
25.44 - 24 =
1.44
Proof.
Calculate percentage increase...
... And see if we get as a result
the absolute change (actual difference).
Percentage increase =
6% × 24 =
6 ÷ 100 × 24 =
6 × 24 ÷ 100 =
144 ÷ 100 =
1.44
So we have proven that the calculations are correct.
For positive numbers
Absolute change (actual difference) =
Percentage increase
Answer:
24 increased by 6% = 25.44
Absolute change (actual difference):
25.44 - 24 = 1.44
Answer:
24,06
Step-by-step explanation:
[tex] \sf 24 + 6 \%[/tex]
[tex] \sf = 24 + \frac{6}{100} [/tex]
[tex] = \sf \frac{2400}{100} + \frac{6}{100} [/tex]
[tex] \sf = \frac{2406}{100} [/tex]
[tex] \sf 24, 06[/tex]
how do u know its a square root ? do u divide?
5. A w-foot wide path is to be built around a rectangular space that is 80
feet by 50 feet. Write and simplify an expression for the total area.
To find the area of the path, we'll need to find the area of the space with the path and subtract the area of the inner space.
Total area: (80 + w)(50 + w)
Inner area: 80 x 50
Area of the path: (80 + w)(50 + w) - (80 x 50)
(4000 + 80w + 50w + w^2) - (4000)
4000 + 130w + w^2 - 4000
w^2 + 130w
w(w + 130)
Expression for the total area: (80 + w)(50 + w)
Expression for the area of the path: w(w + 130)
Hope this helps!! :)
A fair coin is flipped ten times. What is the
probability of the coin landing heads up
exactly six times?
Answer:
It’s 105/512, or about 20.51%
Step-by-step explanation:
I don't know, I asked peeps
Given the vertex ( 4, 6 )and the point(1, -3), write the vertex form equation of the quadratic
function.
Answer:
[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]
Step-by-step explanation:
A given quadratic has its vertex at (4, 6) and the point (1, -3). We want to write the equation in vertex form of the quadratic.
Recall that vertex form is given by:
[tex]\displaystyle f(x) = a(x-h) ^2 + k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
Since our vertex is at (4, 6), h = 4 and k = 6:
[tex]\displaystyle f(x) = a(x - 4)^2 + 6[/tex]
To determine the leading coefficient, since we are given that (1, -3) is a point on the parabola, when x = 1, y = -3. Substitute and solve for a:
[tex]\displaystyle \begin{aligned} (-3) & = a((1)-4)^2 + 6 \\ \\ -3 & = a(-3)^2 + 6 \\ \\ 9a & = -9 \\ \\ a & = -1 \end{aligned}[/tex]
Hence, the leading coefficient a is -1.
Then our equation in vertex form is:
[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]
Carmen's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 91 grams, how many grams of cocoa does it contain? Round your answer to the
nearest tenth.
Answer:
it's562because it's forget more times or divide
1A ribbon is 3 2/3 yards long. Mae needs to cut the ribbon into pieces that are 2/3 yard long. Use the model to find the number of pieces that are 2/3 yard long that she can cut. Use the model to find the number of such pieces she can cut. How much ribbon will be left after she cuts these pieces?
Answer:
swag
Step-by-step explanation:
swag
Use point-slope form to write the equation of the line in slope-intercept form.
slope = -1 and passes through the point (-4, 10)
fill in the point-slope equation.
y - __= (x - __ )
Now write the equation in slope-intercept form. (y = mx + b)
Sope intercept Equation:
Answer:
y - 10 = -1 (x+4)
y = - x + 6
Step-by-step explanation:
y - 10 = - 1 (x - - 4)
y - 10 = -x - 4
y = -x - 4 + 10
HELP ME PLEASE!!!
Solve the system of equations by using substitution. Show all work for full credit. List your answer as an ordered pair. (4 points)
5x + 10y = 20
= 3y - 1
Answer:
[tex]x=2 , y=1[/tex]
Step-by-step explanation:
Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:
[tex]5(3y-1)+10y=20[/tex]
Now solve for y.
[tex]y=1[/tex]
Now plug y back into the bottom equation and solve for x.
[tex]x=3(1)-1[/tex]
[tex]x=2[/tex]
If AABC = APQR, then
B = 4[?]
Answer:
Q that is your answer
Step-by-step explanation:
dtr bro be
In science class, Antonio and Anna were measuring the approximate speed of a marble as it
exits from an 8-foot-long ramp. They discovered that it took 2.1 seconds for the marble to
travel 12.5 feet from the end of the ramp.
If r =
d, where d is distance in feet and t is time in seconds, approximately how fast was the
marble traveling as it exited from the ramp to the nearest hundredth of a second?
t
The marble was traveling at 4.05 miles per hour.
Since in science class, Antonio and Anna were measuring the approximate speed of a marble as it exits from an 8-foot-long ramp, and they discovered that it took 2.1 seconds for the marble to travel 12.5 feet from the end of the ramp, to determine approximately how fast was the marble traveling as it exited from the ramp to the nearest hundredth of a second, the following calculation must be performed:
12.5 / 2.1 = X 5.95 = X = feet per second 1 foot per second = 0.681818 miles per hour 5.95 x 0.681818 = X 4.05 = X
Therefore, the marble was traveling at 4.05 miles per hour.
Learn more in https://brainly.com/question/23774048
Is the following graph proportional or non-proportional?
Proportional
Non-Proportional
Not enough information
Answer:
non-proportional
Step-by-step explanation:
The line doesn't go through the origin and it's not a straight line therefore the graph is not proportional. Hope this helps :)
Answer:
Not proportional
Step-by-step explanation:
The graph is not proportional because the line doesn't go through the origin. If the line start from the origin and went up it would be a proportional graph.
HELP PLSSS THIS IS HARD SOMEONEEE
Using the exchange rate £1 = $1.34, calculate how many £ are in $7.25. Give your answer rounded to 2 dp.
Answer:
£5.41
Step-by-step explanation:
7.25/1.34 = 5.41044...
Round = 5.41
In a department store, a $40 dress is marked, "Save 25%. What is the sale
price of the dress?
Answer:$30
Step-by-step explanation:
$40*25%=$10 discount
$40-$10= $30.00
Answer:
The dress' price is $30.
Step-by-step explanation:
The discount on the dress is for 25% off.
25% of $40, is $10.
$40 - $10 is $30, resulting in a sale price of $30.
Hope this helps!
4.The average temperature in the desert ecosystem can be 38°C in one 24-hour
period. Solve for F. Then, find the equivalent temperature in degrees Fahrenheit, F.
Answer:
someone please ananswer i need help
Step-by-step explanation:
Evaluate using suitable identity:
d). 9.9²
Step-by-step explanation:
9.9²
(10-0.1)²
= 10² -2 (10) (0.1) + 0.1²
= 100 -2 + 0.01
= 98.01
Hope it helps you
Answer:
★ Solution :-[tex]\sf \longmapsto 9.9^2[/tex]
[tex]\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2[/tex]
Here,
a = 10b = 0.1[tex]\sf \longmapsto (10 - 0.1)^2 = 10^2 - 2(10)(0.1) + 0.1^2[/tex]
[tex]\sf \longmapsto 10^2 - 2(10)(0.1) + 0.1^2[/tex]
[tex]\sf \longmapsto 100 - 2 + 0.01[/tex]
[tex]\sf \longmapsto 98.01[/tex]
is 28.42 > 28. 404 true
Answer:
28.42 > 28.404
it is true
Miguel Ponce has P1,500.00 cash. If he bought a pair of shoes for P1,325.00, what is the percent of the remaining cash he has left?
Answer:
Step-by-step explanation:
Cash remaining=P1, 500.00-P1,325.00
=P175
Percent of the remaining cash= Cash Remaining × 100
Cash he originally had
= P175 × 100
P1 500
=11[tex]\frac{2}{3}[/tex] %or 11.6666666% or 11.67% when rounded to two decimal places.
A percentage is a way to describe a part of a whole. The percent of the remaining cash he has left is 11.667%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Value of the Remaing Cash = P1,500.00 - P1,325.00
= P175.00
Now, the percent of the remaining cash he has left can be written as,
Percentage of remaining cash = (Remaining cash/ Total cash) × 100%
= (P175.00 / P1,500.00) × 100%
= 0.011667 × 100%
= 11.667%
Hence, the percent of the remaining cash he has left is 11.667%.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
Please include working out. =D You will get 30 points for it.
Answer:
It should be c
Step-by-step explanation:
Your formula is
Number of color ball/total ball
so 8/20 x 7/19 x 3/18 then convert to fraction
The probability the first ball is red is 0.4 or 8/20 or 2/5
The probability the next is blue is 7/19
The probability of the next being white is 6/18 or 1/3.
Multiply them together because these are independent events that must all occur and we get 2*7*1= 14 as the numerator
5*19*3=285 for a total probability of 14/285.
Csolve for y 1/3x+2y=8
1. Simplify [tex]\frac{1}{3} x[/tex] to [tex]\frac{x}{3}[/tex]
[tex]\frac{x}{3} +2y=8[/tex]
2. Subtract [tex]\frac{x}{3}[/tex] from both sides
[tex]2y=8-\frac{x}{3}[/tex]
3. Divide both sides by 2
[tex]y=\frac{8-\frac{x}{3} }{2}[/tex]
4. Simplify [tex]\frac{8-\frac{x}{3} }{2}[/tex] to [tex]\frac{8}{2}[/tex] - x/3/2
y=8/2-x/3/2
5. Simplify 8/2 to 4
y=4-x/3/2
6. Simplify x/3/2 to x/3x2
y=4-x/3x2
7. Simplify 3x2 to 6
-y=4-x/6
please help :D i give brainliest
In an isosceles triangle, the length of the base is half of the length of a leg. The perimeter of this triangle is 50 cm. Find the lengths of all sides.
Answer:
10 cm, 20 cm, 20 cmStep-by-step explanation:
Let the base is x, then the legs are 2x each.
The perimeter is:
x + 2x*2 = 505x = 50x = 10The base is 10 cm and legs are 20 cm each.
The length of a rectangle is 3 less inches than twice the width. Write an expression for the width and length. Using the two expressions for the the length and width, write and simplify an expression for the area.
Answer:
2l-3=w with l=length and w=width, please note i am not actually in college but 7th grade
Step-by-step explanation:
Is CP >SP, then loss = CP -SP is true or false:
Answer: False
Answer:
[tex] \text{gigel \: are \: mere}[/tex]
Is CP >SP, then loss = CP -SP is true or false:
TrueCP > SP
He got a loss
so, loss = CP - SP
▪▪▪ Cutest Ghost ▪▪ ▪Nick jumps off a cliff. It takes him 2.2 s to hit the water below. What is the height of the cliff? g=9.8 m/s2
Answer:
9.8 x 2.2 = 21.56 m
distance = time x speed
speed = distance ÷ time
Step-by-step explanation:
The highest point he reached occurred at the vertex, which is at t = -b/2a = 2.2 second. Plugging in t = 2.2
9.8 x 2.2 = 21.56ft
Higher cliffs don't accelerate your fall -- acceleration is constant during free fall. The pull of gravity decreases infinitesimally at higher elevations, but it pulls you with an equal force from the first second of your jump until you decelerate when you hit the water.
HELPPP DUE IN 10 MINUTES
I don't know how to do it
Hopefully this helps!
Can someone show me the work for these problems?
Answer:
I'm sure these images should help you. They do a better job at explaining than I do.
Step-by-step explanation:
Look above to see each picture.⤴⤴⤴
They're in order from left to right.
I really hope this helps :)
Also, if it's wrong please let me know.