Answer:
h ≥ 8 cm
Step-by-step explanation:
Solving :
V ≥ 32 cm³
a = 4 cm²
h ≥ 32/4
h ≥ 8 cm
Please solve with explanation (high points)
a) From the Pythagorean theorem, we have
AC² = AB² + BC² = a² + a² ⇒ AC = √2 a
and
AK² = AB² + BK² = a² + (2a)² ⇒ AK = √5 a
ABCD and BKLC are perpendicular, so AC and CL are perpendicular and ∆ACL is a right triangle. By the Pythagorean theorem, we have
AL² = AC² + CL² = (√2 a)² + (2a)² ⇒ AL = √6 a
Now,
AK² + LK² = (√5 a)² + a² = 6a² = (√6 a)² = AL²
which means ∆AKL satisfies the Pythagorean theorem and is a right triangle, so ∠AKL = 90°.
b) We know AC = √2 a and AK = √5 a. By the Pythagorean theorem, we find
CK² = BC² + BK² = a² + (2a)² ⇒ CK = √5 a
By the law of cosines, we have
AK² = AC² + CK² - 2 AC CK cos(∠AKC)
6a² = 2a² + 5a² - 2√10 a² cos(∠AKC)
cos(∠AKC) = 1/(2√10)
∠AKC = arccos(1/(2√10)) ≈ 80.9°
Sean scores a goal 60% of the time when he kicks the ball on goal. How many goals should he get during a game when he kicks on goal 10 times?
Write a function to represent the number of patients she sees, , and the number of hours, , the hygienist works after lunch on Monday.
Answer:
y= between 9-10 patients, round down to 9
Step-by-step explanation:
y= 9/4x + 5
y = 9/4(2) + 5
y = 9.5
y= between 9-10 patients, round down to 9
If two data points are 10 and 20, what data point would make 30 the mean?
Answer:
60
Step-by-step explanation:
The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).
Let's set up an equation with the information we have.
30 = (10 + 20 + x) / 3
Now we can multiply both sides by 3 ==>
90 = 10 + 20 + x
Combine like terms ==>
90 = 30 + x
Subtract 30 from each side ==>
60 = x
And now you have your answer!
The value of x = 60 would make the mean of the data set 30.
Choose the graph that represents the equation y = –|x| – 1.
Answer:
The correct answer is graph A.
PLEASEEEE HELPPP I WILL MARK BRAINLESS JUST FOR HELPING ME PLSSSSS! …. Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
Answer:
x≥3 but without the line under the symbol
Step-by-step explanation:
1/3 of 12 = 2/3 of ?
i need some extra letters in here( ignore this part, just solve the equation above please)
Answer:
12Step-by-step explanation:
1/3 of 12 = 2/3 of ?
1/3 of 12 =
(12 : 3) =
4
4 * 2 = 8
8 + 4 =
12
four hundred
eighty three million, six hundred thousand miles.
Answer:
400
83 000 000
600,000
-----------------------
483,600,000 miles
I have been looking and thinking about this question for 15 minutes pls help
Answer:
the game is fair because the probability of winning is equal to 50%
Step-by-step explanation:
find the measure of the arcs around circle.
If f(x)=2x+5 , determine the value of f(3x) .
Answer:
Step-by-step ef(x)=-2x+5……i
and f(-3x)=?
let x=-3x so that
-2x+5=-3x
x=5
substitutinx x into… i
f(x)=-10+5=-5
f(5)=-5………ii
now f(–3x)=f(-15)
scrutinizing… ii ,we can propose that
f(-15)=15.
Thus f(-3x)=15xplanation:
f times x would equal to fx=2x+5 and i think we move the x move to the other side which makes it f=3x+5 and then we plug this equal into f(3x) (i think) which makes it f(3x+f=3x+5)
Which of the following graphs represents the equation y = 2x + 2?
B
D
(1,6)
O
.(9.1
(0,2)
(0, 2)
(x (-1, 0))
• A. Graph A
• B. Graph B
• C. Graph C
D. Graph D
Answer:
graph c
Step-by-step explanation:
it's coordinate (0,2) satisfy the equation
What kind of variable is this: Rural, Semi-rural, Urban.
Answer: Qualititative, Nominal and Categorical
Explanation:
The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.
Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.
We can also consider it categorical since each label is a category.
Which statements about the location of the points are true? Select two options. Point D is in the first octant. Point B is located below the xy-plane. Point A is located in front of the yz-plane. Points B and D are in the same octant. Point C is behind the yz-plane.
Answer:
Statements B and E are true.
Step-by-step explanation:
B is true
E is true
Louis needs to secure his tent.He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener,as shown
If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Louis needs to secure his tent.
He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener
We have to find the length of the rope by using pythagoras theorem
12²+9²=x²
144+81=x²
225=x²
Take square root on both sides
x=√225
x=15
The total length is 12+9+15=36 ft
Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
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((PLEASE HURRY, THANKS IN ADVANCE)) To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.40 per hour. The math club wants to spend less than $78.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
t = time
42 + 8.8t < 112.40
8.8t < 70.4
pls mark as brainliest
Answer: t = 4
Step-by-step explanation:
(x) - (y) = (t)
78.00 - 41.00 = 37.00
7.40 x 5 = 37
t = 4
Any amount of time under 5 hours would work.
[tex]how do u find the reciprical of 9/13[/tex]
Answer:
flip it around 9/13 reciprocal would be 13/9
PLEASE HELP PLEASE HELP PLEASE
Answer:
(5,5) Remember, the bottom line always goes first since it is the X axis, and the one going up and down goes second because it is the Y axis :D
Step-by-step explanation:
PLEASE HELP ME!!!!!!!
Answer:
2/3
Step-by-step explanation:
p(B/A)=[P(A&B)]/p(A)
2/3=[P(A&B)]/(1/2)
P(A&B)=2/3 *1/2=1/3
P(A&B)=P(A)*P(B)
1/3=1/2*P(B)
P(B)=1/3*2/1=2/3
help help help help please
Answer:
45.8 m^2
Step-by-step explanation:
area = π x 3.82^2
area ≈ 45.8
hope this helps
have a good day
If I earn $15/hour and work for 20 hours/week, how much would I earn in one
month?
A.)$1,200
B.)$3,500
C.)$3,000
D.)$2.000
Answer:
$1,200
Step-by-step explanation:
$15 x 20 = $300/week; $300 x 4 weeks = $1,200
Answer:
A.)$1,200 a month
Step-by-step explanation:
it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200
please answer my question, this is the third time i've asked. (75 Points)
For A it is 6240 / 20% for B it is 6240 x 15%
Answer: A. .20x640=128
128+640=768
B. .15x640=96
640-96
Step-by-step explanation:
PLSS HELP ASAPPP PLS What would be the sinuosity of this river:
Sinuosity = 28 cm curved length and a 20 cm straight length.
Answer:
= CL : SL
= 28 cm : 20 cm
= 1,4 cm
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]
Jill planted five rows of watermelons in her garden with the same number in each row she planted a total 35 watermelons how many in each row
Answer:
7 watermelons were in each row.
34. x-y=3 What is the slope?
Answer:
Step-by-step explanation:
Discussion
You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.
x - y = 3 Multiply the whole equation by -1
-1(x - y = 3) Remove the brackets. This gets y to be +
-x + y = - 3 Add x to both sides of the equation.
-x+x + y = -3 + x Combine the left. Notice the x's disappear on the left
y = - 3 + x
Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.
Answer
The slope of the line is 1.
(2h³j^-3 k⁴)/3jk
Just look at pic
A bookstore sells 7 books for $99.75. Which table represents the relationship between
number of books and the total price?
Answer:
B.
Step-by-step explanation:
One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
[tex]\implies 16^2+2^2=c^2[/tex]
[tex]\implies 256+4=c^2[/tex]
[tex]\implies c^2=260[/tex]
[tex]\implies c=\sqrt{260}[/tex]
[tex]\implies c=2\sqrt{65}[/tex]
[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]
16.1 is rounded to the nearest tenth
Please help, will mark Brainliest!
1. Does the relationship between number of people and the bill appear to be weak, moderate or strong?
2. Does the relationship between number of people and the bill appear to be linear?
3. The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.
4. Interpret the slope of the line of best fit in the context of this problem.
5. Note that the points in the scatterplot do not all lie on the line. What could explain this variability?
6. Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?
7. There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?
In the above scenario, for question 1 and 2, we can say that relationship does depict or appear to be fairly strong and also linear as the points on the graph doesn't move far from a line.
What is the relationship about?Other answers are:
The answer to question 3 scatterplot graph is given in the image attached.The Interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.
The variability can be shown or explained by the differences that is seen in what the parties in the graph has ordered to eat or drink.
Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50 is known to be less than the predicted amount.
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what is the value of x
[tex]\text{In}~ \triangle ABC,\\\\~~~~~~~~\sin 45^{\circ} =\dfrac{BC}{AC} \\\\\implies \dfrac 1{\sqrt 2} = \dfrac{BC}{6\sqrt 2}\\\\\\ \implies BC= 6\\\\\text{Now, In}~ \triangle BCD\\\\~~~~~~\cos 60^{\circ} = \dfrac{BD}{BC}\\\\\ \implies \dfrac 12 = \dfrac{x}{6}\\\\\\\implies x = \dfrac 62\\\\\\\implies x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
using the sine ratio in right triangle ABC and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{6\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
BC = 6
using the cosine ratio in right triangle BCD and the exact value
cos60° = [tex]\frac{1}{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 6 ( divide both sides by 2 )
x = 3
