Answer:
[tex]27.6^\circ[/tex]
Step-by-step explanation:
Given:
A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]
ST = 44 feet
TR = 84 feet
To find:
[tex]\angle R = ?[/tex]
Solution:
Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.
Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].
We know that formula for tangent of angle [tex]\theta[/tex] is given as:
[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here, Perpendicular for [tex]\angle R[/tex] is side ST and
Base is side TR.
Putting the values in above tangent formula:
[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]
Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.
Answer:
66.1
Step-by-step explanation:
Can i get help please??…………
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
Answer:
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
the area that lies between Z=-2.61 and Z=0 is
Answer:
2.61
Step-by-step explanation:
To find the amount of space between the two points, subtract -2.61 from 0.
0 - (-2.61) Distribute the negative
0 + 2.61 Add
2.61
What decrease the probability of something happening?
Answer:
When you add more to your sample space.
Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.
difference in the abscissa of points A (4,3) and B (-7,2)
Answer:
The difference is 11 units
Step-by-step explanation:
When we talk of the abscissa, we are referring to the x-axis.
So what this question is asking us is the difference between the values of the x-axis
At point A, the value is 4 while at point B, the value here is -7
So the difference between this two would be 4-(-7) = 4 + 7 = 11 units
I NEEED HEEELLLPP
Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?
T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°
Answer:
c) T(−1, 3) ° Rotation,180°
Step-by-step explanation:
Explanation:-
First we will apply transformation is
Rotation of 180° then we will apply transformation is changes
(x,y) to (-x ,-y)
a)
Given vertex T( 2 ,2 )
T( 2 ,2 )→ T( -2 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)
The new vertex is T¹ ( -3 ,1)
b)
Given vertex U( 4 ,2 )
U( 4 ,2 )→ U( -4 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)
The new vertex is U¹ ( -5 ,1)
c)
Given vertex R( 3 ,5 )
R( 3 ,5 )→ R( -3,-5)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)
The new vertex is R¹ ( -4 ,-2)
d)
Given vertex S( 1 ,3 )
S( 1 ,3 )→ S( -1 ,-3)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
S( -1,-3) → S¹ ( -1 -1 ,-3 +3)
The new vertex is S¹ ( -2,0)
Please help! Correct answers only!
Out of 100 tickets in a raffle, one ticket will win a $150 prize, one ticket will win a $130 prize, one ticket will win a $110 prize, and one ticket will win a $40 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 4.30
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 150 Dollar Prize - 1 / 100,\\Probability * Money Won = " Expected Payoff " For The 150 Dollar Prize,\\\\1 / 100 * 150,\\" Expected Payoff " - 1.5 Dollars,\\\\Probability of Winning the 130 Dollar Prize - 1 / 100,\\\\1 / 100 * 130,\\" Expected Payoff " - 1.3 Dollars,\\\\Probability of Winning the 110 Dollar Prize - 1 / 100,\\\\1 / 100 * 110,\\" Expected Payoff " - 1.1 Dollars,\\\\Probability of Winning the 40 Dollar Prize - 1 / 100,\\\\[/tex]
[tex]1 / 100 * 40,\\" Expected Payoff " - 0.4 Dollars,\\\\Conclusion ; " Expected Payoff " = 1.5 + 1.3 + 1.1 + 0.4 = 4.30 Dollars[/tex]
Solution ; " Expected Payoff " = $ 4.30
Make a table as shown in the diagram below. X represents the winnings, P(X) is the probability of getting such winnings. The third column X*P(X) represents the product of the first two columns. After you figure out every value in the third column, you add everything up to get the final answer.
how many ways can 7 different runners finish in first, second, and third places in a race?
Answer:
210
Step-by-step explanation:
There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:
For 1st place, there are 7 people that could take that place, so we have 7
For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.
For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.
So we have:
7*6*5 = 210
Answer:
210 ways
Step-by-step explanation:
For 1 st place there are 7 different runners
Now there are only 6 options
For 2nd place there are 6 different runners
Now there are only 5 options
For 3rd place there are 5 different runners
7*6*5
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
Read more about scientific notation at
brainly.com/question/1767229
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Which statement is true about the coordinates (3 , 2)?
Answer:
you cant answer it you have no choice to pick cuz you didnt put dem
Step-by-step explanation:
A quadrilateral has all sides and angles congruent. Which name best describes the figure? a. rhombus b. square c. rectangle d. trapezoid
Answer:
It's a square
Step-by-step explanation:
Because a square has all equal sides, and its an quadrilateral, and we know its square bc the other shapes dont really have that.
The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.
tell whether this has one solution, infinitely many solutions, or no solution. Explain your reasoning. y=2x+7, y=3x-1
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
Can someone help me solved this problem plz need help ASAP! Show de steps plz! I really need help
Answer:
a) 3
b) -4
c) -1/3
d) -2
e) -4/3
Step-by-step explanation:
a) 6w=2 , w=6/2 , ie. w= 3
b) 6+w=2 ,w=2-6 , ie. w= -4
c) 6w+2= 0, 6w= 0-2 , 6w= -2 , w= -2/6, ie. w= -1/3
d) 6w+2= -10, 6w= -10-2, 6w= -12, w= -12/6 , ie. w= -2
e) 6w+2= 12w+10, 6w-12w = 10-2 ( here we interchanged the digits to get the variables or you can say the terms having variables in this case 'w' to the same side. hereby changing the sign from '+' to '-')
so
6w-12w = 10-2 ,-6w=8, w= -8/6, ie. w= -4/3
You can check your answers by substituting with the answers in place of the variable and check if the equation is solved.
Tell me if this was helpful
If a figure has a length and width that are the measured in meters, what would be the units for the area of the figure
Answer:
metre squared (m²)
Step-by-step explanation:
metre×metre=metre squared (m²)
2.
Name the quadrant in which the point lies:
(a) A (1, 1)
(b) B (2,4)
(c) C (-3,-10)
(d) D (-1,2)
(e) E (1, -1)
() F (-2,-4)
(9) G (-3, 10)
(h) H (1, -2)
Answer:
hope this helps! pls mark brainliest
Step-by-step explanation:
a = quadrant 1
b = quadrant 1
c = quadrant 3
d = quadrant 2
e = quadrant 4
f = quadrant 3
g = quadrant 2
h = quadrant 4
What is the volume on a cone if the height is 12cm and the radius is 2cm
Answer:
[tex]50.27[/tex] [tex]cm[/tex]
Step-by-step explanation:
[tex]\pi r^2h \times 1/3[/tex]
[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]
[tex]\pi \times 4 \times 12 \times 1/3[/tex]
[tex]16\pi[/tex]
[tex]\approx 50.265482[/tex]
Answer:
16π cm^3 or 50.27 cm^3 to the nearest hundredth.
Step-by-step explanation:
V = 1/3 π r^2 h
= 1/3 π 2^2 12
= 16π cm^3.
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
An exponential function has been graphed with certain points marked on it.
To find the average rate of change for this function between the given interval we will use the formula,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{y_2-y_1}[/tex]
where [tex]f(x_2)[/tex] = value of the function at x = 4
[tex]f(x_1)[/tex] = value of the function at x = 2
By substituting these values in the formula,
Average rate of change = [tex]\frac{16-4}{4-2}[/tex]
= [tex]\frac{12}{2}[/tex]
= 6
Therefore, Option D will be the answer.
Solve the proportion. What number is 20% of 40?
Answer:
What is 20 percent (calculated percentage %) of number 40? Answer: 8.
Step-by-step explanation:
happy to help ya:)
Solve the system algebraically. -6x+3y=27 -5x-3y=-16
Answer:
A) -6x+3y = 27
B) -5x-3y = -16 We add the 2 equations
-11x = 11
x = -1
Putting 1 into equation B)
5 -3y = -16
-3y = -21
y = 7
Step-by-step explanation:
help please, i will mark brainliest
Answer:
40
Step-by-step explanation:
We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40
40 beats at 1 minute → 40 ÷ 1 = 40
80 beats at 2 minutes → 80 ÷ 2 = 40
120 beats at 3 minutes → 120 ÷ 3 = 40
160 beats at 4 minutes → 160 ÷ 4 = 40
200 beats at 5 minutes → 200 ÷ 5 = 40
A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
Answer:
There are 8 possible outfit choices
Step-by-step explanation:
you multiply 2 times 4 because there each shirt can pair to each pants once
Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!
Answer:
a) y = -5 b) y = -4 c) y = 4 d) y = 11
Step-by-step explanation:
a) (-2+2)²-5
b) (-1+2)²-5
c) (1+2)²-5
d) (2+2)²-5
Based on the data, which table shows a constant of
proportionality of 2 for the ratio of granola to raisins?
Table A
Table B
Table C
Table D
Answer:
C
Step-by-step explanation:
4/2 =2
12/6 =2
20/10 =2
From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answer:
After 5 minutes, the submarine is at -40 × 5 = -200 feet
Step-by-step explanation:
In 1 minute, the submarine is 40 feet below sea level. This situation can be represented with -40 feet. Notice that we use a negative sign since the submarine is descending.
Answer:
It's at 200 ft
Step-by-step explanation:
You multiply 40 and 5 because the submarine goes 40 ft per minute and you have to find out the level after 5 minutes.
Therefore 40•5=200 ft
Hope this helps!
i hate math bro please help me
Answer:
2 + an
Step-by-step explanation:
1 + 1 + na
2 + am
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.
[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
$1751Step-by-step explanation:
Selling price
[tex]1700[/tex]
Tax percent
[tex]3\%[/tex]
Tax amount
[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]
Final cost
[tex]1700 + 51 \\ = 1751[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help please I WILL MARK BRAINLIEST
Answer:
SAS
Step-by-step explanation:
DB and BD are equal
The angles near D are equal
AD and DC are equal
Side Angle Side
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 15 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 5 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p?
Answer:
the mle of P=0.833
Step-by-step explanation:
X=incorrect answer
And probability of success to be denoted as P
Here X posses a binomial distribution along with 'r' and 'p'parameter
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
The volume of a cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft deep, what is the radius of the hole?
Answer:
r = 5
Step-by-step explanation:
The formula for volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]
h = 6
V = 50π
[tex]2\pi r^2=50\pi[/tex]
r = 5
I need help urgently factorise :a squared divided by 8 minus b squared divided by 50.
Answer: 1/200 * (5a-2b)(5a+2b)
Step-by-step explanation:
a^2/8 - b^2/50
Factor out 1/200,
1/200 * (25a^2 - 4b^2)
Using a^2 - b^2 = (a-b)(a+b),
1/200 * (5a-2b)(5a+2b)
Answer:
1/2(a/2+b/5)(a/2-b/5)
Step-by-step explanation:
a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)