Answer:
Solution given
:[tex] \sqrt{216 \times 6} [/tex]=[tex] \sqrt{36²} [/tex]=±36 is your answer
rewrite the radical equation
Answer:
12x³y⁴z³[tex]\sqrt{z}[/tex]Step-by-step explanation:
[tex]\sqrt{144x^6y^8z^7}[/tex] =[tex]\sqrt{12^2(x^3)^2(y^4)^2(z^3)^2z}[/tex] =12x³y⁴z³[tex]\sqrt{z}[/tex]Answer:
solution given:
[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]
is your answer.
A pet store donated a percent of every sale to hospitals. The total sales were $8,900 so they store donated $178. What percent of $8,900 was donated to hospitals?
Answer:
2%
Step-by-step explanation:
Given data
Sales = $8,900
Donated amount= $178
Percentage of donated sales= Donated amount/ Sales*100
Percentage of donated sales= 178/ 8900*100
Percentage of donated sales=0.02*100
Percentage of donated sales=2%
Hence the percentage is 2%
i need help with this
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft
Answer:92.84
Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12
The perimeter of the trapezium is 143.94 ft.
We have,
The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.
In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.
To find the length of the non-parallel sides we can use the Pythagorean theorem:
a² = (39 - 27/2)² + 12²
a² = 1440
a ≈ 37.95 ft
Therefore,
The perimeter of the trapezium is:
P = 27 + 39 + 2a
P ≈ 27 + 39 + 2(37.95)
P ≈ 143.9 ft
Rounding to the nearest hundredth place,
we get P ≈ 143.94 ft.
Thus,
The perimeter of the trapezium is 143.94 ft.
Learn more about trapezium here:
https://brainly.com/question/22607187
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What is the slope of the line that passes through the points (3,8) and (8, 13)? Write
your answer in the simplest form
Answer:
1
Step-by-step explanation:
What should be subtracted from (−5/4 ) to get - 1
Answer:
-5/4+1/4=-4/4=-1
Step-by-step explanation:
HELP ASAAAPPPPPPP PLEASEEEEE
Answer:
I say it is A.
Step-by-step explanation:
It is the one that makes the most sense.
Hope this helps.
How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.
Answer:
The other 2 angles are 28 and 62 degrees.
Step-by-step explanation:
The sum of all the angles of a triangle is always equal to 180 degrees.
If two angles are known the third can be found out.
A right angled triangle always has an angle equal to 90 degrees.
If the base is 15 and the perpendicular is 8 and the hypotenuse is 17
then
Tan theta= Perpendicular/base
Tan theta= 8/15
theta = tan⁻¹ 8/15
theta = 28.072
The third angle is 28 degrees which is less than 90 degrees and is acute
This can also be obtained by
cos theta= base / hypotenuse
cos theta= 15/17
theta= cos⁻¹ 15/17
theta= 28.072
Now summing up
90+ 28 + x= 180
x= 180-118
x= 62
The third angle is 62 degrees which is also less than 90 degrees.
Solve the system of equations x+2y=-16 and x+6y=-28 by combining the equations.
Answer:
x= -18 y=-5/3
Step-by-step explanation:
Answer:
x = -10
y = -3
Step-by-step explanation:
When combining the equations, we must ensure that one of the two variables will cancel out. The easiest way to do this will be to multiply one of the equations by -1, such that the x will cancel out once they are added together. This can be done with either equation, but I will do it for the first one.
This gives us the system:
[tex]\left \{ {{-x-2y=16} \atop {x+6y=-28}} \right.[/tex]
We can then add the two equations by combining each of the terms:
[tex](x - x) + (6y - 2y) = (-28 + 16)\\(0) + (4y) = (-12)\\4y = -12\\y = -3[/tex]
Now that we have the value for y, we substitute it back into any of the original equations and solve for x:
[tex]x + 2y = -16\\x + 2(-3) = -16\\x - 6 = -16\\x = -10[/tex]
To check our work, we substitute both x and y into the other original equation:
[tex]x + 6y = -28\\(-10) + 6(-3) = -28\\-10 - 18 = -28\\-28 = -28[/tex]
Addison made some chilli with 3/4 of a can of black beans and 5/8 of a can of pinto beans. How many cans of beans did addison use in all?
Answer:
1 3/8 Cans
Step-by-step explanation:
When you have unlike denominators, Find the Least Common Denominator.
LCD: 8
Multiplying numerators and denominators to get the LCD in all fraction denominators
3 x 2
____ + 5/8
4 x 2
Then you need to re-write the equation with the equivalent fractions.
6/8 + 5/8
Simplify your answer
11/8 = 1 3/8
find the measurement indicated in the parallelogram
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
On Friday, 153 people went to the movies in Smalltown. On Saturday and Sunday, 337 people went to the movies. On Friday and Saturday, 391 people went to the movies. How many people went to the movies on each day? Friday:. Saturday:. Sunday:
Answer:
Friday: 153 people Saturday: 238 Sunday: 99
Step-by-step explanation:
Subtract 153 from 391 to find the people on Saturday (238). Subtract 238 from 337 to find the people on Sunday (99).
NEED ASNSWER ASAP. The ratio of sugar to flour in a brownie recipe is 8:5. Kimo used 15 ounces of flour. How many ounces of sugar did Kimo use?
Answer:
5
Step-by-step explanation:
[tex]8:5=15:x\\8*x=15\\(8*x)/8=15/8\\x=1.875\\\\\frac{8}{5} *1.875=\frac{15}{x} \\\frac{8}{5} *1.875=3\\3=\frac{15}{x}\\x=5[/tex]
An isosceles triangle has an angle that measures 122º. Which other angles could be in that
isosceles triangle?
26 / 29 / 58 / 38
Answer:
29
Step-by-step explanation:
2x + 122 = 180
2x = 180 - 122
2x = 58
x = 29
HELP!!!
A ratio is a comparison between two quantities with different kinds of units. True Or False
Answer:
False
Step-by-step explanation:
A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.
I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.
Answer:
The average speed of the entire trip is 8.5 miles per hour.
Step-by-step explanation:
Speed = Total Distance / Total Time
So we have to find the total distance and the total time taken .
1) From Gujranwala to Daska
speed= 25miles/hour distance = 15miles
Time taken = distance / speed
= 15/25= 0.6 hours
2) From Daska to Sialkot
speed= 40miles/hour distance = 15miles
Time taken = distance / speed
= 40/15= 2.67 hours
3 ) From Sialkot to Daska
speed= 30miles/hour distance = 15miles
Time taken = distance / speed
= 30/15= 2 hours
The total distance traveled to three places is = 15+ 15+15= 45miles
The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours
Speed = Total Distance / Total Time
Speed= 45/ 5.3
= 8.49=8.5 miles per hour
The average speed of the entire trip is 8.5 miles per hour.
A survey of 100 high school students provided this frequency table on how to show students to get to school
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
Answer:
2/5
Step-by-step explanation:
Will give u Brainly
Answer:
Option B
Step-by-step explanation:
Set 1:
med: 76, Range: 50-65= 15IQR: 77-73= 4
find the median, range, and IQRfor each data set.
Set 2:
med: 60, Range: 68-55= 13,IQR: 63-59= 4
76- 60 =16
find the difference of the medians 16 is 4 times 4
so the difference of the medians is 4 times the IQR
----------------------------
hope it helps...
have a great day!!
is x = 10 part of the solution 2x + 5 > 23? why or why not?
Answer: Yes
Step-by-step explanation: 2 x 10 = 20, then add the 5 to get 25, which is larger then 23 :)
Seatwork 5, solve for the values of v, w, x, y and z
Answer:
The set of values are described below:
[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].
Step-by-step explanation:
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]OJ \parallel RS[/tex] and [tex]OP \parallel RM[/tex]. By Alternate Internal Angles, we find that [tex]\angle R \cong \angle O[/tex]. In addition, the sum of internal angles in triangles equals 180°. Then, we have the following system of linear equations:
[tex]m\angle R + m\angle M + m\angle S = 180^{\circ}[/tex] (1)
[tex]m \angle O + m \angle P + m\angle J = 180^{\circ}[/tex] (2)
[tex]m\angle S = 65^{\circ}[/tex] (3)
[tex]m \angle M = m\angle P = 90^{\circ}[/tex] (4)
The solution of this system is [tex]m\angle R = 25^{\circ}[/tex], [tex]m \angle O = 25^{\circ}[/tex] and [tex]m \angle J = 65^{\circ}[/tex].
Lastly, the remaining sides are found by definition of congruence
Segment RS
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline {RS} \cong \overline {OJ}[/tex]. Hence, [tex]RS = 25\,cm[/tex]
Segment JP
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline{SM} \cong \overline {JP}[/tex]. Hence, [tex]JP = 10\,cm[/tex]
The set of values are described below:
[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].
there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?
The newer machine works at a unit rate of
(5400 cans) / (180 min) = 30 cans/min
while the older machine operates at
(5400 cans) / (217 min) ≈ 24.88 cans/min
So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about
(5400 cans) / (54.88 cans/min) ≈ 98.39 min
Verify that -(x+y)=(-x)+(-y) when x=3/4 and y=2/5
Answer:
note that when opening the bracket the value outside the bracket with be used to multiply all the values inside the bracket... for example -(3/4+2/5) the (-) subtraction sign will be used to multiply all the values in the bracket including the addition sign therefore changing plus to minus
What is tip would you give to your waiter if your bill was $56.50 and the tip is 20% of the bill
$11.30
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation.
For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.
So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or
0.20 x $56.50 = $11.30
So, the amount of tip you are going to leave is $11.30.
This makes the total cost of your meal (to write on your charge slip or other payment)
$56.50 + $11.30 = $67.80.
PLEASE HELP 50 POINTS
The angle measurements in the diagram are represented by the following expressions.
Answer:
30°Step-by-step explanation:
A and B are same side interior angles and hence supplementary:
m∠A + m∠B = 180°Substitute values and solve for x:
6x - 18 + 14x + 38 = 18020x + 20 = 18020x = 160x = 160/20x = 8Find the measure of ∠A:
m∠A = 6*8° - 18° = 30°Koshi runs in a circular path around a field so that he is always 40 yards from the center of the field. If he runs 4 laps around the field, what is the total distance Koshi runs?
A 125.6 yd
B 251.2 yd
C 502.4 yd
D 1,004.8 yd
yeah the answer is B
how did you send a request
2k multiplied by k equals??????
Answer:
3.81238067 × 10-46 m4 kg2 s-4 K-2
Step-by-step explanation:
PLEASE HELP. 20 POINTS
Answer:
not sure but i think its b
Step-by-step explanation:
Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table below.
Calculate the following percentages based on the frequency table.
Round to the nearest hundredth of a percent.
Answer:
1. 31.3%
2. 34.35%
3.62.6%
Step-by-step explanation:
There were 131 acoustic guitars, and 41 of them needed neck repair.
41/131 = 0.3130 = 31.3%
There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.
90/262 = 0.3435 = 34.35%
There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.
82/131 = 0.6260 = 62.6%
b) Thousandth means one part from_______
equal parts
Answer:
One thousand
Step-by-step explanation:
Answer: one thousand
Step-by-step explanation:
A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.
what is the mathematical equation of 9932x6394=
Answer:
Step-by-step explanation:
63,505,208
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