Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
Two sides of a triangle and an angle between them are given. Construct the triangle. Does the solution exist for any given angle?
A solution exists for constructing a triangle given two sides and the included angle if the triangle inequality theorem is satisfied
We have to draw a line segment to represent one of the given sides of the triangle.
From one endpoint of the line segment, use a protractor to measure the given angle. Mark this angle on the line segment.
Using a compass, set the compass to the length of the other given side of the triangle.
With the compass centered at the endpoint of the line segment, draw an arc that intersects the angle on the line segment.
Draw a line connecting the endpoint of the line segment to the point where the arc intersects the angle.
This line represents the second side of the triangle.
Finally, draw a line connecting the two endpoints of the sides you have constructed. This line completes the triangle.
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The circle graph shows how Emily spent one hour using her iPhone. How many minutes did Emily spend on research?
Answer:
I don't see a circle graph. Add one and ill edit this answer
Step-by-step explanation:
Add
the
image.
A. 611.18 b. 431.59 c. 395.59 d. 1,042.37. ASAP PLEASEE
Answer:
A
Step-by-step explanation:
I am not sure how it is 195 can someone please explain..
Answer:
[tex] \sqrt{ {22}^{2} - {17}^{2} } = \sqrt{484 - 289} = \sqrt{195} [/tex]
The side lengths do not form a Pythagorean triple.
Please help, will give brainliest!
Answer:
1.99 x 10 ^20 N
Step-by-step explanation:
Just substitute in the values given
F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22) / ( 3.84 x 10^8) ^2
= 1.99 x 10^20 N
You start at (-4, -5). You move up 7 units. Where do you end?
Answer:
(-4, 2)
Step-by-step explanation:
Is it True or false?
Answer: False
Step-by-step explanation: right triangles need two equal angles and one different.
Simplify the expression. Write your answer as a power.
The simplified expression is
Answer:
Answer = 6^7
Step-by-step explanation:
When multiplying expressions with exponent you add the exponents together. So here you would get 6^13/6^6. However you can simplify this farther since the base (6) is the same. When dividing expressions with exponents you subtract the exponents so the the answer would be 6^7.
Hope that helps! :)
What type of graph is this ?
Step-by-step explanation:
this isn't a graph of a function, this is just a series of plotted points.
find the area of a isosceles triangle with base 2cm and sides 4cm
Answer:
it will help you
Step-by-step explanation:
thank you
A triangular prism is shown. a cylinder is cut out of the center of the prism. the triangular base has side lengths of 14 and 10 units. the heights of both the cylinder and prism are 8 units. the cylinder has a diameter of 5 units. which expression represents the volume, in cubic units, of the shaded region of the composite figure? one-half(14)(10)(8) – π(2.52)(8) one-half(14)(10)(8) π(2.52)(8) one-third (one-half)(10)(8)(14) – π(2.52)(8) one-third (one-half)(10)(8)(14) π(2.52)(8)
The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
ExpressionGiven:
Base side length=14 and 10 units
Height=8 units
Diameter=5 units
Hence:
Expression= 1-( half 14)(10)(8) - π(2.52)(8)
Expression=1-(7) (10)(8) - π(2.52)(8)
Expression=1- (560)- 63.33
Expression=-559-63.33
Expression=-622.33
Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
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Answer:
A
Step-by-step explanation:
edge
The height of a plant in centimeters is recorded each day for 14 days. The function y = 1.44x + 1.55 is determined to be a good fit for the data. On day 7, the recorded height was 12.32 centimeters. How close is the predicted height to the actual height of the plant (the residual)? A) 0.63 cm B) 0.69 cm C) 1.38 cm Eliminate D) −0.69 cm
The predicted height is close to the actual height of the plant by 0.69 cm
How to determine the closeness in the heights?The equation of the height function of the plant is given as:
y = 1.44x + 1.55
The height on day 7 is calculated as:
y = 1.44 * 7 + 1.55
Evaluate
y = 11.63
The recorded height is given as 12.32
The residual is calculated as:
Residual = Recorded - Predicted
So, we have:
Residual = 12.32 - 11.63
Evaluate
Residual = 0.69
Hence, the predicted height is close to the actual height of the plant by 0.69 cm
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(7 + 1)2 – (11 + 32) ÷ 4. simplify
Answer: 5.25
Step-by-step explanation:
Solve using PEMDAS,
(7 + 1)2 – (11 + 32) ÷ 4
(8)2 - (43) ÷ 4
16 - 10.75 = 5.25
Calvin’s credit card computes finance charges using the daily balance method. his card has a billing cycle of 30 days and an apr of 14.75%. the following table details calvin’s transactions in the month of september. date amount ($) transaction 9/1 716.54 beginning balance 9/7 84.94 purchase 9/12 15.69 purchase 9/20 200.00 payment what will calvin’s starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
The amount of calvin’s starting balance for the next month will be C. $625.91.
How to calculate the amount?From the information given, the monthly percentage rate will be:
= 14.75/12
= 1.22%
Therefore, the amount of calvin’s starting balance for the next month will be $625.91.
In conclusion, the correct option is C.
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Answer:
Step-by-step explanation:
c
Manny makes the following purchases at the store: pair of jeans for $32.65 3 t-shirts for $14.89 each pair of sneakers for $39.99 the store is having a promotional sale where 10% is taken off of each customer’s total purchase before tax. the sales tax is 8%. if manny paid $114.03 , then he _____ for his purchase. a. paid $5.63 too little b. paid $3.28 too little c. paid the correct amount d. paid $8.45 too much
If manny paid $114.03 for the items purchased , then he paid the correct amount .
What is the total cost?
The first step is to determine the total cost of all the items purchased.
Total cost = $32.65 + (3 x $14.89) + $39.99 = $117.02.
Now, determine the cost after the promotional sale: (100 - 10%) x $117.02 = $105.32
The last step is to determine the total cost after tax: (1.08) x 105.32 = $114.03
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Answer:c
Step-by-step explanation:
trust
Cos(alpha-beta)cos(alpha beta)=cos^2 alpha-cos^2 beta
The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The equation is given below.
cos (α - β) × cos (α + β) = cos² α - cos² β
Then show whether the equation is correct or incorrect.
Taking the left-hand side, then we have
[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]
The left-hand side does not equal to the right-hand side.
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Complete the definition of the h(x) so that it is continuous over its domain.
Answer:
A=0
B=2
so we have our question, h (x) x^3, x<0.
a is equal to 0 since that answer was already given.
so now it would be srqt/x over 0 of 4
4 divided by 0 is 0
1/2x x>4
turns into 1/2x x>4/1
cross simplify
the answer to B is 2
Answer:
a=0
b=2
Step-by-step explanation:
Mai gathers a random sample of 30 students at her school and asks them whether they would be willing to start and end the school day 1 hour later than usual. 27 of the students agree that this would be a good idea. Mai goes to the principal and says, "Exactly 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!"
What is wrong with this statement?
The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).
So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).
In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.
So, from sample, 90% of those 30 students think it’s a good idea to start and end the school day an hour later than usual.
And yes, we can use this data to approximate or predict about the percentage of students who think it’s a good idea to start and end the school day an hour later than usual.
But we cannot surely say that it will be exactly 90%.
The only statement we can give about the population is:
Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!
Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.
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12x+16y=336
Please help me find y intercept the answer should be 28 but guide me on the steps
add the numbers 197,203 and 423 in two ways fast
Answer:
there you go
have a good day
Help pls I don't understand
Answer:
me too a I don't understand
find the slope of the line containing the points (-3,2) and (3,7)
[tex]\text{Given that,}~ (x_1,y_1) =(-3,2)~ \text{and}~ (x_2 ,y _2) = (3,7)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{7-2}{3-(-3)}\\\\\\~~~~~~~~~~~~=\dfrac{5}{3+3}\\\\\\~~~~~~~~~~~~=\dfrac 56[/tex]
The scale factor of the dimensions of two similar wood floors is 4:3. It costs $153 to refinish the smaller wood floor. At this rate, how much would it cost to refinish the larger wood floor?
With the given scale factor, The cost to refinish the larger wood floor is $204
How to determine the amount for the larger wood?The scale factor is given as:
Scale factor = 4 : 3
This means that:
x : 153 = 4 : 3
Where x represents the cost to refinish the larger wood floor
Express as fraction
x/153 = 4/3
Multiply both sides by 153
x = 204
Hence, the cost to refinish the larger wood floor is $204
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NEED ANSWER ASAP NEED HELP
Answer:
C
Step-by-step explanation:
number 2 is y/x because its the reciprical of sine of angle YZ so the answer is C.
1. Determine whether 11, 60, and 61 can be the measures of the sides of a triangle. If so,
classily the triangle as acute, right, or obtuse. Justify your answer.
Answer:
C
Step-by-step explanation:
irst check if the triangle is right.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = and ( )² = 12
2² + ( )² = 4 + 8 = 12
Thus the triangle is right → C
the scores made by a group of eleventh grade students on the mathematical portion of the SAT are given.
Using the percentage concept, it is found that 33.33% of the students scored 650 or higher in the mathematical portion of the SAT.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Researching the problem on the internet, it is found that of the 15 students, 5 scored 650 or higher in the mathematical portion of the SAT, hence the percentage is given by:
[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]
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Place (dlick and drag) one option from each of the lists below Into Its corresponding box to
create an equation of the line that passes through the polnt (1, "10) and is perpandicular to y=-1/3 x +5
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}[/tex]
so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7[/tex]
Rectangle pqrs had vertices p(-4,3),q(-2,5),r(3,0) and s(1,-2). the diagonals of the rectangle bisect eachother. atwhich point do the diagonals intersect?
Answer:
Step-by-step explanation:
please help me
i really want to know the answer
and the explanation for this problems
Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
Emma has a homework in 8 subjects she is deciding in what order to complete them in, how many different ways are there?
Answer:
40,320 ways
Step-by-step explanation:
By the Fundamental Counting Principle, she can do it in 8! ways:
8! = 8*7*6*5*4*3*2*1 = 40,320