Answer:
She will need 41.22 meters.
Step-by-step explanation:
She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .
The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:
[tex]\cos{\theta} = \frac{l}{h}[/tex]
In which l is the length of the adjacent side and h is the hypothenuse.
Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.
Looking at a calculator, the cosine of 50 degrees is 0.6428.
So
[tex]0.6428 = \frac{11}{h}[/tex]
[tex]0.6428h = 11[/tex]
[tex]h = \frac{11}{0.6428}[/tex]
[tex]h = 17.11[/tex]
The other leg:
In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:
[tex]l_1^2 + l_2^2 = h^2[/tex]
We already have one of the legs and the hypothenuse, so:
[tex]11^2 + l^2 = 17.11^2[/tex]
[tex]l^2 = 17.11^2 - 11^2[/tex]
[tex]l = \sqrt{17.11^2 - 11^2}[/tex]
[tex]l = 13.11[/tex]
How many meters will she need?
This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So
[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]
She will need 41.22 meters.
The side lengths of a triangle are 12,^149,^5. Is the triangle a right triangle?
PLEASE THE TEST IS DUE IN 10 MINE
Answer:
no
Step-by-step explanation:
12 squared plus 5 squared=169
A study was conducted by a team of college students for the college research center. From the study, it was reported that most shoppers have a specific spending limit in place while shopping online. The reports indicate that men spend an average of $230 online before they decide to visit a store. If the spending limit is normally distributed and the standard deviation is $19.
(a) Find the probability that a male spent at least $210 online before deciding to visit a store. Ans: ____________
(b) Find the probability that a male spent between $240 and $300 online before deciding to visit a store. Ans: ____________
(c) Find the probability that a male spent exactly $250 online before deciding to visit a store. Ans: (d) Ninety-one percent of the amounts spent online by a male before deciding to visit a store are less than what value? Ans: ____________
Answer:
0.8536
0.29933
Step-by-step explanation:
Given :
Mean amount spent, μ = $230
Standard deviation, σ = $19
1.)
Probability of spending atleast $210
P(x ≥ 210)
The Zscore = (x - μ) / σ = (210 - 230) / 19 = - 1.052
P(Z ≥ -1.052) = 1 - P(Z ≤ - 1.052) = 1 - 0.1464 = 0.8536
2.)
Probability that between $240 and $300 is spent:
P(x < $240) = Zscore = (240 - 230) / 19 = 0.526
P(Z < 0.526) = 0.70056
P(x < 300) = Zscore = (300 - 230) / 19 = 3.684
P(Z < 3.684) = 0.99989
P(Z < 3.684) - P(Z < 0.526)
0.99989-0.70056 = 0.29933
prime numbers that can be expressed as a sum and difference of 2 prime numbers
ASAP
Given:
Prime numbers can be expressed as a sum and difference of 2 prime numbers.
To find:
The prime numbers that can be expressed as a sum and difference of 2 prime numbers.
Solution:
Prime numbers are the positive integers which are greater than 1, divisible by only 1 and itself.
Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19,... .
Only 2 is the even prime number.
The sum and difference of two odd integers is always an even number. So, we need to take one even prime number and one odd prime number to add and subtract the numbers to get a prime number.
[tex]2+3=5[/tex]
[tex]7-2=5[/tex]
Therefore, 5 is the only prime number that can be expressed as a sum and difference of 2 prime numbers.
which equation is represented by the table
Answer:
B. b=3a+2
Step-by-step explanation:
I just substituted all of the a values in and I got the b values.
Answer:
Your answer is B, b = 3a+2
Step-by-step explanation:
for example:
3(2) + 2 = 8
Insert a number from column a into the variable and it will come out as the number in column b if it's the correct equation.
Which of the following equations represents the graph shown?
Answer:
ok from looking at this equation we can we that every it goes 1 up and on over so
-x+2
Hope This Helps!!!
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
Find the Value of x that makes A parallel to B.
Answer:
x=60
Step-by-step explanation:
TIMED HELP PLEASE. Verify which of the following are identities.
Answer:
D=Only the first equation is an idenity
Step-by-step explanation:
PH Find the expected value of the winnings from a game that has the following payout probability distribution: 1 2 Payout ($) 0 5 10 0.1 Probability 0.12 0.2 0.38 0.2 Expected Value = [?] Round to the nearest hundredth.
Answer:
2.96
Step-by-step explanation:
Just multiply the payout by its probability
0*.12+1*.2+2*.38+5*.2+10*.1=2.96
Which ordered pair makes both inequalities true? y < 3x – 1 y > –x + 4 On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (0, negative 1) and (1, 2). Everything to the right of the line is shaded. The second solid line has a negative slope and goes through (0, 4) and (4, 0). Everything above the line is shaded.
Answer:
None of the options is true
Step-by-step explanation:
Given
[tex]y < 3x - 1[/tex]
[tex]y > -x + 4[/tex]
Required
Which makes the above inequality true
The missing options are:
[tex](4,0)\ (1,2)\ (0,4)\ (2,1)[/tex]
[tex](a)\ (x,y) = (4,0)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]0<3*4 - 1[/tex]
[tex]0<12 - 1[/tex]
[tex]0<11[/tex] ---- This is true
[tex]y > -x + 4[/tex]
[tex]0 > -4 + 4[/tex]
[tex]0 > 0[/tex] --- This is false
[tex](b)\ (x,y) = (1,2)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]2<3 * 1 - 1[/tex]
[tex]2<3 - 1[/tex]
[tex]2<2[/tex] --- This is false (no need to check the second inequality)
[tex](c)\ (x,y) = (0,4)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]4< 3*0-1[/tex]
[tex]4< 0-1[/tex]
[tex]4<-1[/tex] --- This is false (no need to check the second inequality)
[tex](d)\ (x,y) = (2,1)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]1<3*2-1[/tex]
[tex]1<6-1[/tex]
[tex]1<5[/tex] --- This is true
[tex]y > -x + 4[/tex]
[tex]1 > -2+4[/tex]
[tex]1 > 2[/tex] -- This is false
Hence, none of the options is true
SOMEONE PLEASE HELP ME I'M STUCK
Answer:
57%
Step-by-step explanation:
200+245+125 = 570
570/1000 = .57
Answer:
57%
Step-by-step explanation:
First find the total number of families in the sample.
Total = 350 + 200 + 245 + 125 + 66 + 10 + 4
Total = 1000
Next find the number of families that have 3, 4 or 5 people.
Total(3,4 or 5) = 200 + 245 + 125
Total(3,4 or 5) = 570
Now the % = (Total 3,4 or 5) / Total ) * 100
% = 570 / 1000 * 100
% = 57%
What is the area of this figure? Enter your answer in the box.
Answer:
Step-by-step explanation:
33
Barbara, a school superintendent, asks the local school board for permission to hire an additional teacher whenever the student enrollment at a certain grade level within a school increases by 35 students beyond capacity. This is an example of which type of decision
Answer:
Programmed
Step-by-step explanation:
Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.
Find the Value of x.
Answer:
x = 91
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 89 = 180
x = 91
please help me, i suck at this
Answer:
(5, -5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - 3y = 25
5x + 3y = 10
Step 2: Solve for x
Elimination
Combine two equations: 7x = 35[Division Property of Equality] Divide 7 on both sides: x = 5Step 3: Solve for y
Substitute in x [1st Equation]: 2(5) - 3y = 25Multiply: 10 - 3y = 25[Subtraction Property of Equality] Subtract 10 on both sides: -3y = 15[Division Property of Equality] Divide -3 on both sides: y = -5Answer:
(5,-5)
Step-by-step explanation:
Hi there!
We are given this system of equations:
2x-3y=25
5x+3y=10
and the question asks to solve it by elimination
To solve by elimination, we will add the equations together to clear one variable, solve for the variable that wasn't cleared, then use the value of the variable that wasn't cleared to solve for the variable that was cleared earlier
Before we clear a variable, the coefficients in front of the variable that we want to clear need to be opposites (ex. if we wanted to clear x, the coefficients of x in the systems have to be -2 and 2, as that would equal 0).
In this case, the coefficients in front of y in the equations are -3 and 3 respectively. That equals 0, so y would be cleared if we added the equations together
so we don't have to multiply or divide by anything prior to clearing
Let's add the equations together. Remember that y will be cleared, as (-3y+3y=0)
2x-3y=25
+
5x+3y=10
______________
7x+0=35
subtract 0 from both sides
7x=35
divide both sides by 7
x=5
we found the value of x
now we need to find the value of y
substitute 5 as x into either one of the equations to solve for y
if we were to do it into 2x-3y=25 for instance,
2(5)-3y=25
multiply
10-3y=25
subtract 10 from both sides
-3y=15
divide both sides by -3
y=-5
So the answer is x=5, y=-5, or as point (5,-5)
Hope this helps! :)
i need help choosing which multiple choice the answer would be ?
The farmer wants the ratio of horses to cows to equal 5 to 3. He keeps his 45 horses and buys more cows. Workout the number of cows he must buy
environment is not ___ uniform all form
environment is not natural uniform all from
i will give brainliest if correct
Answer:
80 students
Step-by-step explanation:
If you do 60/0.75 (the number of students who voted), you get 80
Which algebraic expression is equivalent to the expression below?
3(5x + 7) - 6(4 - 25)
Answer:
15x+21-24+150
15×+147
Answer:
15x + 147
Step-by-step explanation:
The given algebraic expression to us is ,
⇒ 3(5x + 7) - 6(4 - 25 )
On opening the brackets ,
⇒ 15x + 21 - 24 + 150
⇒ 15x + 147
need an answe asap!
Answer:
1. x = 54, y = 114,
missing angles => 66° and 114°
2. x = 42, y = 14,
Missing angles => 84°, 86°
3. x = 40, y = 50
Missing angles => 105°, 75°
Step-by-step explanation:
1. y° = 114° (corresponding angles are congruent)
(x + 12)° + y° = 180° (linear pair angles)
Substitute
x + 12 + 114 = 180
x + 126 = 180
Subtract 126 from each side
x = 180 - 126
x = 54
✔️Find the missing angles by plugging in the values of x and y in each case
(x + 12)° = 54 + 12 = 66°
y = 114°
2. ✔️Find x:
(2x)° + 96° = 180° (consecutive interior angles are supplementary)
Subtract 96 from each side
2x = 180 - 96
2x = 84
x = 84/2
x = 42
✔️Find y:
(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)
3y + 44 + 94 = 180
3y + 138 = 180
3y = 180 - 138
3y = 42
y = 42/3
y = 14
✔️Missing angles:
(2x)°
Plug in the value of x
= 2(42) = 84°
(3y + 44)°
Plug in the value of y
3(14) + 44 = 86°
3.
✔️Find x:
3x - 15 = 105 (corresponding angles are congruent)
3x = 105 + 15
3x = 120
x = 120/3
x = 40
✔️Find y:
(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)
Plug in the value of x to solve for y
3(40) - 15 + y + 25 = 180
120 - 15 + y + 25 = 180
Add like terms
130 + y = 180
y = 180 - 130
y = 50
✔️Missing angles:
(3x - 15)°
Plug in the value of x
3(40) - 15 = 105°
(y + 25)°
Plug in the value of y
50 + 25 = 75°
Hello Freinds
Pls answer
1 micron is equal to ?
the right answer will be marked as brainlist! ✌
Answer:
Step-by-step explanation:
1 micron = 1 * [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]
1 micron = 0.00003937 inches
Answer:
hello good morning ✌☺
I hope you are fine ❗
its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿♤♤♤
llxXKHaNZaDaXxll 《《~_^)⌐╦╦═─
please help asap
Find the volume of this cone.
Use 3 for TT.
5in
V =
Answer:
V=πr2h /3
V=πr2h /3=π·2.52·8 /3≈52.35988
so the volume is 52.36 inches
Given PQR, R=90º....
Answer:
RQ = 9 units
Step-by-step explanation:
In a triangle ABC, b=13cm c=17cm A=86 degree. Find B,C and a
Step-by-step explanation:
went to a calculator
it said
Side a = 20.66803
Side b = 13
Side c = 17
Angle ∠A = 86°
Angle ∠B = 38.863°
Angle ∠C = 55.137°
Someone be generous & help me please I’ll return the favor
Answer:
Step-by-step explanation:
Find the value of each variable.
4V3
b
60°
45°
C
d
Answer:
a = 6, b = 6√2, c = 2√3, d = 6
Step-by-step explanation:
Applying,
sin60° = a/4√3
Therefore,
a = sin60°×4√3
a = (√3/2)(4√3)
a = 3×2
a = 6
Also,
cos60 = c/4√3
c = cos60×4√3
c = 0.5×4√3
c = 2√3
also,
tan45 = a/d
d = a/tan45
d = 6/(1)
d = 6
Also,
sin45 = a/b
b = a/sin45
b = 6/(1/√2)
b = 6√2
Jalen's Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Answer:
ok so on the left ill put minutes and on the right ill put dollars
150=7.50
220=11.00
250=12.50
275=13.75
so now lets break this down by dividing the smallest numbers by 2 a couple times
75=3.75(2)
25=1.25(3)
1=0.05(25)
so for every minute on the phone you pay 5 cents
Hope This Helps!!!
Answer:
for every minute on the phone you pay 5 cents, add brainly plz.
Step-by-step explanation:
graph y=-1/3x+5 pleaseeee
Which is a simplified form of the expression 3a + 7 – a – 7?
A. 2a
B. 4a
C. 2a + 14
D. 4a - 14
Answer:
A. 2a
Step-by-step explanation:
imagine an imaginary 1 in front of the a
3a + 7 – 1a – 7
subtract numbers without variables
3a + 7 – a – 7
3a-1a
subtract 1a from 3a
2a
Answer:
A. 2a
Step-by-step explanation:
3a + 7 - a + 7
= 3a - a + 7 - 7
= 2a + 0
= 2a