Estimate 4 1/3 x 2 3/4
Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30º as shown below. She knows that the height of the lighthouse is 50 meters.
How far is Jen from the base of the lighthouse, in meters?
The distance Jen is from the base of the lighthouse is 86.6 meters.
Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.
Let d represent the distance Jen is from the base of the lighthouse.
Using trigonometric ratios:
[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]
The distance Jen is from the base of the lighthouse is 86.6 meters.
Find out more on Trigonometric ratio at: https://brainly.com/question/10417664
what’s is value of X
Answer:
3
Step-by-step explanation:
Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
[tex]\boxed{\boxed{\Large \text{Ted will run 60 kilometres in 285 minutes.}}}[/tex]
Step-by-step explanation:Using the distance-time-speed relationship:
[tex]\boxed{\Large \text{speed = $\frac{\rm distance}{\rm time}$}}[/tex]
[tex]\boxed{\Large \text{distance = speed $\times$ time}}[/tex]
[tex]\boxed{\Large \text{time = $\frac{\rm distance}{\rm speed}$}}[/tex]
so if Ted can run 20 kilometres (distance) in 95 minutes (time), then his speed = 20 ÷ 95 = 4/19 km/min.
Using this result, to calculate how far Ted will run in 285 minutes, we can say that distance = 4/19 × 285 = 60 kilometres.
∴ Ted will run 60 kilometres in 285 minutes.
[tex]\hrulefill[/tex]
To learn more about speed:
https://brainly.com/question/31756299
4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator
Answer:
C. A rate with one (1) in the denominator
A unit rate is basically a ratio of something to one.
example:
if 10 bananas costs ten dollars then one banana would cost one dollar.
Step-by-step explanation:
Answer:
A. A rate with one in the numerator
Step-by-step explanation:
We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
PLEASE ANSWER!!!
Boris Drove to the mountains last week. There was heavy traffic on the way there, and the trip took 10 hours. When Boris drove home, there was no traffic and the trip only took seven hours. If his average rate was 18 mph faster on the trip home, how far away does Boris live from the mountains?
Answer:
Step-by-step explanation:
Answer:
Let +d+ = the one-way distance to the mountains in miles
Let +s+ = his speed going to the mountains in mi/hr
+s+%2B+27+ = his speed on the trip home in mi/hr
equation for going to the mountains:
(1) +d+=+s%2A7+
Step-by-step explanation:
I hope this helps mark as brainliest if correct
What are the coordinates of B
Answer:
(-4,-5)
Step-by-step explanation:
The coordinates of the midpoint for x = sum of x/2=2
The coordinates of the midpoint for y = sum of y/2=-2
firstly to work out x coordinate:
[tex] \frac{x + 8}{2} = 2[/tex]
rearrange to find x which is -4
work out y coordinate:
[tex]\frac{y + 1}{2} = - 2[/tex]
rearrange to find y which is -5
so coordinates are (-4,-5)
The Circumference of Taylor’s bike tire is 72 inches what is the diameter of the tire used 3.14 for and round to the nearest whole number
Answer:
Step-by-step explanation:
Circumference=72
pi=3.14
Radius=C /2π
72/6.28=11.4649681529
Rounded to the whole would be 11
=11
help me please please
Answer:
alr yeah i get it now
Step-by-step explanation:
its A 11/14
Answer:
[tex]\frac{11}{14}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]
Before adding er require the fractions to have the same denominators.
Multiply the numerator/ denominator of the first fraction by 2
= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]
=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex] ( now add numerators leaving the common denominator )
= [tex]\frac{4+7}{14}[/tex]
= [tex]\frac{11}{14}[/tex]
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
a. 34.8°
b.39.4°
c.50.6°
d.55.2°
A coin weighs 3/4 ounces. Laura picked up 6 of these coins. What is the total weight of the coins she picked up? In simplest form.
Answer:
1 1/2 pound
Step-by-step explanation:
If each coin weighs 3/4 ounces and she picked up 6 then you do 3/4 x 6/1 which equals 18/4 and since there is 16 ounces in a pound it simplifies to 1 2/4 or 1 1/2 pounds
b and c is wrong pls help
Answer:
b) you need one set of | | for the inside of the logarithm only.
c) pi^2 /56
Step-by-step explanation:
For b, you just need | | instead of ( ) for the inside of the natural logarithm part... .
For c...
Integral( arcsin(7/6x)/sqrt(36-49x^2),x=0..6/7).
Lets go ahead and fix up the the denominator so the multipler on x is the same as it is in numerator.
Factor our sqrt(36) on bottom. Note sqrt(36)=6.
1/6Integral(arcsin(7/6x)/sqrt(1-(7x/6)^2),x=0..6/7)
Let 7/6x=sin(v). Then 7/6 dx=cos(v) dv.
If x=0 then we solve 7/6(0)=sin(v) giving us v=0. Note sin(0)=0.
If x=6/7 then we solve 7/6(6/7)=sin(v) giving us v=pi/2. Note sin(pi/2)=1...and I chose this particular value for v so the sine curve didn't have a chance to make a new or start a new cycle.
1/6×6/7Integral(v/sqrt(1-(sinv)^2) cos(v)),v=0..pi/2)
Next step invokes the Pythagorean Identity sin^2(v)+cos^2(v)=1:
1/7Integral(v/cos(v) cos(v), v=0..pi/2)
1/7Integral(v, v=0..pi/2)
1/7(v^2/2, v=0..pi/2)
1/7((pi/2)^2/2-(0)^2/2)
1/7(pi^2/4/2)
1/7(pi^2/8)
pi^2/56
PLEASE HELP ME GET ALL THESE QUESTIONS QUICKLY DONE I WILL MARK BRAINLIST PLS PLZ PLZZZZZ
Answer: look at explanation
Step-by-step explanation:
1st question: 48 / 60 = 80 %
2nd : 1/4 of 60 = 15 people
3rd : If 60% is 48 miles, than 10% is 8 miles. Therefore, 100% (his goal) = 80 miles.
4th: 1/4 of 88 = £22
Helpppp mee pleaseeeee
Answer:
Step-by-step explanation:
Simplified this is 9 :)
Write the expression for the following situation: Roger has 5 toy cars. His sister gives
himxmore for his birthday. He wants to find his totd
Which comparison statements are true?
Answer:
Option B,option D and option F are the correct statements.
Determine which graph shows y as a function of x.
I have to pick out of the photos I attached.
Answer:
I would say either pic 2 or four.
Step-by-step explanation:
Hopes This Helps
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
The two triangles are similar. Find the values of the unknown variables
Answer:
x = 84 y = 59°
Step-by-step explanation:
x = (40/30)×63
x = 84
∆ABC = ∆PQR
so y = 59°
Answer:
1.) 47
2.) 28
Step-by-step explanation:
you just had to use the sin equation for both
What is the length of LN in the right triangle below?
Answer:
D 280
Step-by-step explanation:
Pythagoras theorem
Answer:
a
Step-by-step explanation:
LN=√19^2 - 9^2
=√361 - 81
=√280
Kangaroo hops 2 kilometers in 3 minutes how long does it take the kangaroo to travel 5 kilometers
Answer:
7.5minutes
Step-by-step explanation:
If it travels 2kilometers every 3 min, that means it travels 2/3 kilometer per minute. Then divide 5 kilometers by 2/3kilometers/min, which gets you 7.5minutes
if 3t+p = k then t is equal to what?
Answer:
Here is your answer hope I helped! <3
Step-by-step explanation:
t=k/3-p/3
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Answer:
4 fluid ounces
Step-by-step explanation:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Remember
8 fluid ounces = 1 cup.
First you need to do find out how many fluid ounces she poured in total.
So do,
5 mugs × 12 fluid ounces.
which is 60 fluid ounces.
Now that you now that you need to convert 8 cups into fluid ounces.
Like I said at the top 8 fluid ounces = 1 cup.
So you need to do,
8 cups × 8 fluid ounces.
Which is 64 fluid ounces she can hold in her coffee pot.
Now you subtract,
64 fluid ounces - 60 fluid ounces.
Which is 4 fluid ounces left in her coffee pot.
The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.
Let x be the number of fluid ounces she has left.
4 fluid ounces
As we know,
8 fluid ounces = 1 cup
The total amount of coffee = 5×12
The total amount of coffee = 60
Total amount = 8 cups × 8 fluid ounces.
x = 64 fluid ounces - 60 fluid ounces.
x = 4 fluid ounces
Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
Learn more about the unit conversion here:
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Match each set of prices with the correct percent of increase or decrease. 12.4% decrease 7.4% increase 9.9% increase 8.7% decrease 8% increase 11% increase 11% decrease 8% decrease original price: $37.50 new price: $34.50 arrowRight original price: $63.00 new price: $56.07 arrowRight original price: $98.00 new price: $108.78 arrowRight original price: $12.25 new price: $13.23 arrowRight
Answer:
12.4
Step-by-step explanation:
Answer:
1. decrease by 8%
2. decrease by 11%
3. increase by 8%
4. increase by 11%
Step-by-step explanation:
yag cuts 75 degrees angle from a paper circle then he cuts out another section measuring 130 degrees ,what is the angle that is left ?
Answer:
155°
Step-by-step explanation:
We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.
A skydiver's speed during a free fall
reaches 165 feet per second. What is the
speed in meters per second? At this
speed, how many meters will the
skydiver fall during 4 seconds after the
jump? Assume that 1 meter is equal to
3.3 feet.
Answer:
Below in bold.
Step-by-step explanation:
1. 165/3.3 = 50 meters/second.
2. In 4 seconds the skydiver will fall 4*50 = 200 meters.
Please help. Will mark Brainliest
Which statements go in boxes 2 and 3?
What is the proof for boxes 3 and 4?
Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
4e-4=e-4
help me plsssssssssssssssssssssss
Answer:
E= 0 Good luck answering the other questions :)
Step-by-step explanation:
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help