Answers
Answer:
[tex]x=49.16^{\circ}[/tex]
Step-by-step explanation:
We need to find the value of x in the given figure.
It is a right angled triangle, in which base is 19, height is 22.
We can use trigonometry to find x.
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan x=\dfrac{22}{19}\\\\x=\tan^{-1}(1.157)\\\\x=49.16^{\circ}[/tex]
So, the value of x is equal to [tex]49.16^{\circ}[/tex].
Related Questions
A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy statement. a. Describe the sample space; that is, list all possible response combinations to the two statements. __________________________________________ b. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with at least one of the two policy statements
Answers
Answer:
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;
0.556
Step-by-step explanation:
Given :
Possible outcome of each policy statement = (A, N, D)
Number of statements = 2
Sample space = 3² = 9
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)
Probability that a person agrees with atleast one of the 2 policy statements :
Probability = required outcome / Total possible outcomes
Required outcome = (AA, AN, AD, NA, DA) = 5
HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Answers
Answer:
Colin will have $1,265 after three years.
Step-by-step explanation:
First, we find the amount of interest Colin will have by using the following formula,
simple interest = principal * interest rate * time
now that we know the formula, we substitute the numbers in.
simple interest = $1,100 * 5% * 3
since the interest rate is obviously a percentage, we have to convert it into a decimal.
simple interest = $1,100 * 0.05 * 3
now that it is a decimal, we can solve this expression.
simple interest = $1,100 * 0.05 * 3
simple interest = $55 * 3 (here, we did $1,100 * 0.05 first so that it doesn't get confusing with all the numbers, it will be easier with two final numbers)
simple interest = $165
Colin has $165 simple interest but over here asks how much she will have AFTER 3 years. think about it, can you have $165 after having $1,100 in your bank AFTER 3 years? no, so we need to add the interest by the principal by using the following formula,
total amount = principal + simple interest
now, we substitute the numbers in.
total amount = principal + simple interest
total amount = $1,100 + $165
total amount = $1,265
Therefore, Colin will have $1,265 after 3 years.
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is placed back in the bag befroe the second draw 2 yellow marbles,3 pink marbles, 5 blue marbles
Answers
Answer:
1/25
Step-by-step explanation:
Given :
Let :
Y = yellow marbles
P = pink marbles
B = blue marbles
Y = 2 ; P = 3 ; B = 5
Note : selection is done with replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = (2+3+5) = 10
Probability of drawing 2 yellow marbles :
First Draw : P(yellow) = 2 /10 = 1/5
Second draw: P(yellow) = 2/10 = 1/5
Probability of drawing 2 yellow marbles :
1/5 * 1/5 = 1 /25
What is the mode of these numbers, 4,9,3,9,3,3
Answers
V= u +at U=2 A=-5 T=1/2 Work out the value of v
Answers
Answer:
v =-1/2 hope it may help u
Step-by-step explanation:
v =u+at
v=2 -5/2
v=4-5/2
v=-1/2/2
Answer:
Step-by-step explanation:
Given
u = 2 , a = - 5 t = 1/2
Now
v = u + at
= 2 + (-5) * 1/2
= ( 4 - 5) /2
= - 1/2
Mary has completed 8 problems of her 20 question test. How much of the test has she completed in fraction form (simplity!)
O 8/20
O 4/10
O 1/2
0 2/5
Answers
Answer:
2/5
Step-by-step explanation:
She completed 8 out of 20 so we divide 8 by 20
8/20 can be simplified if we divide both the numerator and denominator by 4
which equals 2/5
Answer:
2/5
Step-by-step explanation:
8 divided by 20 gives you .4 which is 2/5
how many square metre of carpeting are needed to cover a floor that measures 8m by 5m
Answers
Answer:
40 meters squared
Step-by-step explanation:
8 * 5 = 40
Which dilation is shown by the graph?
Answers
Answer:
D. D₂ (∆XYZ)
Step-by-step explanation:
Dₙ = (x,y) → ((n)x, (n)y)
_________________
X = (-1, 2).
Y = (2, -1).
Z = (-2, -1).
_________
Dₙ ∆XYZ:
X(-1, 2) → X'(-2, 4)
Y(2, -1) → Y'(4, -2)
Z(-2, -1) → Z'(-4, -2)
______________
-2 / -1 = 2, 4 / 2 = 2.
4 / 2 = 2, -2 / -1 = 2.
-4 / -2 = 2, -2 / -1 = 2.
_______________
D₂ = (x,y) → ((2)x, (2)y).
X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)
Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)
Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)
_________________________
Which pair of expressions is equivalent?
2.
A
7 2 12
and
12 3
5
B
4
3
and
12
4
12
0
7
12
4 7
and
12
܀
5
4
D
2
5 2.
and
12 5
5
12
Answers
Answer:
B
Step-by-step explanation:
sorry if i am wrong
10 POINTS PLEASE HURRY
Answers
,,,,,,,,,
Answer:
Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.
Step-by-step explanation:
A. 71
B. 88.5
C. 90.5
D. 92
Answers
Answer:
92
Step-by-step explanation:
Because 92 occurs the most and some of the numbers aren't even there.
Lori has 79 stickers. This is three more
than twice as many as Beth has. How
many stickers does Beth have?
Answers
Answer:
38
Step-by-step explanation:
79-3=76
76 divided by 2 =38
for what value of q is in the question -13(q+4)=7q+16
Answers
Answer:
q=-3 2/5
Step-by-step explanation:
First multiply -13 with (q+4)
-13q-52=7q+16
Now you have to change the order before = the numbers with q and after = the numbers without anything
-13q-7q=52+16
Remember that when you change positions the symbol too
Then solve it
-20q=68
Now u have to divide as i do
q=68/-20
you can simplify it
q=3 8/-20
Now divide by the greater divisor in this case is 4
q=3 2/-5
And organize it
q=-3 2/5
Never forget to do q=(answer)
Hopefully it helps.
please help me?
John has $13. She saves $3 every day. How many days will it take John to save $28?
Answers
Answer:5 days
Step-by-step explanation:
13+3=16
16+3=19
19+3=22
22+3=25
25+3=28
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and the measure of ∠c = 36°, find the measures of angles a and b.
m∠a =
°
m∠b =
°
Answers
Angle a=36 degree
a+b=180
b=180-36
b=144 degree
Angle b=144 degree
The circumference of a circular garden is 122.46 feet. What is the diameter of the garden? Use 3.14 for pi and do not round your answer.Clude the correct unit in your answer.
Answers
Answer:
38.98
Step-by-step explanation:
d=c/pie
i dont know this is correct
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
• A. $17.50
B. $8.20
• C. $63.00
D. $68.40
Answers
Answer:
C, 63.00
Step-by-step explanation:
6*50=300
5*40=200, *5=1000
4*50=200, *10=2000
3*40=120, *25=3000
_________________
6300 cents
$63.00
{$63$}
(x+2)(x-3)
(x+2)(x-3)
Answers
Answer:
x² - x - 6
Step-by-step explanation:
Given
(x + 2)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 2(x - 3) ← distribute parenthesis
= x² - 3x + 2x - 6 ← collect like terms
= x² - x - 6
Answer:
[tex]x^{2} -x-6[/tex]
it's quadratic
Need help with the answer please and thank you
Answers
Answer:
Median is 5
Mode is 1
Range is 8
Mean is 4.7
Step-by-step explanation:
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answers
Answer:
750 ft
Step-by-step explanation:
If there are 65 seats on a bus, and only 40% of the seats are filled, How many seats
are filled?
Answers
26 seats
STEP BY STEP:
40 percent of 65 is 26
I don't understand at all a really need help
How would the following triangle be classified?
Answers
Answer:
scalene acute is the answer
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
Answers
Answer:
3.49 inches
Step-by-step explanation:
circumference = 2(2)(π) = 12.56 inches
(100/360)(12.56) = 3.49 inches
Find the value of x so that the ratios 8: x and 12: 18 are equivalent.
Answers
Answer:
I could be wrong, but I think it's x=12
Answer:
Step-by-step explanation:
First let's set this into a proportion:
[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]
Hope this helps
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
Answers
what is thisssssssss
Answers
Answer:
it is a game
Step-by-step explanation:
The bases on a baseball diamond are 90 feet apurt John anding on 2nd base and throws a ball to Sam who is standing exactly halfway between 3rd base and home plate. How far must John throw the ball to get to Sam set up an equation and solve, rounding your answer to the nearest hundredth
Answers
Answer:The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base? - 4961702. ... so for a right triangle, when we've got legs a and b and hytponuse c then a²+b²=c² ... Form a triangle with vertices at home base, first, and second. Home to first ... Get more out of Brainly. See top ...
Step-by-step explanation:
Pwease help me <3 Have a great day y’all!
Answers
2.25
Step by Step
9/4=2.25
2.25x4=9
Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when b = 24 feet and c = 25 feet. Round your answer to the nearest whole number.
A. 7 ft
B. 8 ft
C. 49 ft
D. 576 ft
Answers
Answer:
7
Step-by-step explanation:
help me please, i cant solve this
Answers
Answer:
2/5
Step-by-step explanation:
The rate of change is the slope. The equation is in slope-intercept form. So, the slope is 2/5 = rate of change