Consider the given right triangle. If ZB = 30° and
a= 873 m, then ZA =
and c=
m.
B
a
A
b
С
Answers
Answer:
A = 60 degrees
C = 8 m
Step-by-step explanation:
Whenever we are faced with a geometry problem, and we have a right-angled triangle within the problem, we are to remember Pythagoras' Law first, and the fact that a right-angled triangle always has an angle that measures 90 degrees.
We will also need to know that the sum of the angles in a triangle is 180 degrees.
Therefore, angle A will be = 180 - (90 +30) = 60 degrees
From Pythagoras' Law, we can see that [tex]c= tan 30 \times 8\sqrt{3} =8[/tex]
therefore, line c = 8m
Related Questions
Suppose that among the 6,000 students at a high school, 1,500 are taking honors courses and 1,800 prefer watching basketball to watching football. If 450 students are both taking honors courses and prefer basketball to football, are the events "taking honors courses" and "preferring basketball" independent? No, because StartFraction 1500 Over 6000 EndFraction not-equals StartFraction 1800 Over 6000 EndFraction Yes, because StartFraction 450 Over 1500 EndFraction not-equals StartFraction 450 Over 1800 EndFraction No, because (1,500)(1,800) ≠ 450. Yes, because (StartFraction 1500 Over 6000 EndFraction) (StartFraction 1800 Over 6000 EndFraction) = StartFraction 450 Over 6000 EndFraction.
Answers
Given:
Total students = 6,000
Students taking honors courses = 1,500
Students preferring basketball = 1,800
Students in both = 450
To find:
Whether the two events "taking honors courses" and "preferring basketball" are independent or not?
Solution:
Let as consider the following events.
A : Taking honors courses
B : Preferring basketball
[tex]A\cap B[/tex] : Both
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Using this formula, we get
[tex]P(A)=\dfrac{1500}{6000}=0.25[/tex]
[tex]P(B)=\dfrac{1800}{6000}=0.30[/tex]
[tex]P(A\cap B)=\dfrac{450}{6000}=0.075[/tex]
Two evens are independent if
[tex]P(E_1\cap E_2)P(E_1)\cdot P(E_2)[/tex]
Now,
[tex]P(A)\cdot P(B)=0.25\times 0.30[/tex]
[tex]P(A)\cdot P(B)=0.075[/tex]
[tex]P(A)\cdot P(B)=P(A\cap B)[/tex]
So, the events A and B are intendent because
[tex](\dfrac{1500}{6000})(\dfrac{1800}{6000})=\dfrac{450}{6000}[/tex]
Therefore, the correct option is D.
Is it A, B, or C? PLEASE HELP
Answers
Step-by-step explanation:
y = kx, where k is the constant of proportionality. (1)
Therefore y = x and line B depicts that.
Answer:
B)
Step-by-step explanation:
It's B) because if you look at the slope of the line it goes through all the boxes points.
Another way to do it is take to points and do
m=y2-y1/x2-x1
Hope this helps!
2
7 pencils cost £4.55.
How much do 3 pencils cost?
Answers
Answer:
1.95
Step-by-step explanation:
4.55/7=65
65 cents for 1
65x3=1.95
Brainliest?
please answer will mark brainlyist
Answers
Answer:
A. I
B.R
C.R
D.R
E.I
Step-by-step explanation:
I= Irrational
R=Rational
Answer:
1) irrational
2) rational
3) rational
4) rational
5) irrational
Step-by-step explanation:
hope this helps!
if its right, plz mark me brainliest!
ten divided by three
Answers
Answer:
3.333333
Step-by-step explanation:
thats what it is my guy
Write the expression. Then, check all that apply.
a number cubed increased by four
A 2-column table with 4 rows. Column 1 is labeled Key Words with entries a number, cubed, increased by, four. Column 2 is labeled replace with entries n, exponent of 3, +, 4.
“A number cubed” is a power, where the base is the variable, n, and the exponent is 3.
“A number cubed” is a power where the base is 3 and the exponent is n.
“Increased by 4” means add 4.
“Increased by 4” means multiply by 4.
The expression is written as n3 + 4.
The expression is wriitten as 4n3
Correct Answer=20 pts and BRAINLIEST
Answers
Answer:
A,c,e is correct. “A number cubed” is a power, where the base is the variable, n, and the exponent is 3, “A number cubed” is a power where the base is 3 and the exponent is n and The expression is written as n3+4
Step-by-step explanation:
Answer:
There’s only 6 options and a,c,e is correct. “A number cubed” is a power, where the base is the variable, n, and the exponent is 3, “A number cubed” is a power where the base is 3 and the exponent is n and The expression is written as n3+4
Step-by-step explanation:
show a graph for -12x-3y=36
Answers
Answer:
Here!!
Step-by-step explanation:
Hope this helped!!! have a good day :D
Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year
Answers
Answer:
Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year
Step-by-step explanation:
A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions
The height by which Abba grew over the past 1 year = 1 ft.
Abba's current height = 5 feet
Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet
Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio
A. (3,-2)
B. (2,3)
C. (4,1)
D. (-1,4)
Answers
Can you help me from 1 to 8 and tell me how you get the answers for each one of them please
Answers
Answer:
See below.
Step-by-step explanation:
1) 4x + 8 = 2x + 10
2x = 2
x = 1
2) 9y - 3 = 6y + 12
3y = 15
y = 5
3) 8m + 4 = 4m - 20
4m = -24
m = -6
4) 11z - 14 = 5z + 4
6z = 18
z = 3
5) 3q - 6 = 8q - 6
5q = 0
q = 0
6) 20n + 7 = 6n - 21
14n = -28
n = -2
7) 2w - 8 = 7w - 3
5w = -5
w = -1
8) 9k + 4 = k - 12
8k = -16
k = -2
A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?
Answers
Answer:
70 feet
Step-by-step explanation:
A kite is flying 30 feet from a stop sign
The child flying the kite is standing 40 feet from the stop sign
Therefore the length of the string from the child to the kite can be calculated as follows.
= 30 feet + 40 feet
= 70 feet
Answer:
50 feet
Step-by-step explanation:
It's supposed to be 30x30= 900, 40x40= 1'600
900+1600=2500. 2500 square rooted= 50
the answer is 50
so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that
Given parallelogram ABCD with mZBAD = 83° and m2 CBA = (9x + 7), 1 point
find the value of x.
Answers
Answer:
x is 10
Step-by-step explanation:
For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other
Hence mZBAD + mZCBA = 180
83 + 9x + 7 = 180
90 + 9x = 180
9x = 180-90
9x = 90
x = 90/9
x = 10
Hence the value of x is 10
Yay someone help me I’ll mark brainlest if ya as ser first!
Answers
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
There are eight slices in a pizza. If Jamal eats two slices, what is the ratio of the number of slices remaining to the number Jamal has eaten
Answers
Answer:
6:2
Step-by-step explanation:
If Jamal ate 2 slices, that means there are 6 slices left, and now make a ratio with the slices he ate with the ones remaining. Hope this helps
Answer:
6/2 or 3/1
Step-by-step explanation:
If Jamal ate 2 slices, then there must be 6 remaining.
That is the numerator in our ratio.
We know that Jamal has eaten 2 slices, so our denominator is 2.
We get:
6/2 or 3/1
Hope this helps! :)
Which ordered pair is in the solution set of y>1/3x + 4? (this > is actually greater than or equal too)
a.(-6, 1)
b.(-1,6)
c.(6,-1)
d.(1,-6)
Answers
Answer:
looking for it
Step-by-step explanation:
Answer:
-1,6
Step-by-step explanation:
Somebody solve this plzz
Answers
Answer:
Not a function
Step-by-step explanation:
If you use the line/ pencil test ***I think that's what it's called...
you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.
if a square has an area of 81mi whats it exact side length
Answers
Answer:
9
Step-by-step explanation:
After subtracting 2x from each side, the resulting equation is shown below:
2x+4y=8
4y=-2x+8
the final step to solve for y would be to what?
Answers
ABCDE is a regular pentagon
Please help I’ll give brainliest
Answers
Answer:
108 degrees
36 degrees
72 degrees
trapezoid
Step-by-step explanation:
Luis wants to buy a skateboard that usually sells for $79.76. All merchandise is
discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state
sales tax of 6.25%. Round your intermediate calculations and answer to the nearest
cent.
Answers
Answer:
$75.14 is the correct answer
Answer:
ert4tt45poti3905835049098534085983344533453
Step-by-step explanation:5
34534534353433434
5
3
5
3
45
3
543
354
3
53
4
53
5
34
5
44543
353
What is a formula for the nth term of the given sequence? 54, -36, 24...
Answers
Answer :
an = a1 + (n-1) d
an = 54 + (9-1) -90
an = 54 + (8) - 90
an = 54 - 720
an = - 666
For △PQR and △EFD shown, which of the following could be steps to show that the SSS congruence criteria follows from the definition of congruence in terms of rigid motion? Select two correct answers.
A.Translate EFD so that point F maps to point Q.
B. Rotate (Triangle)E'F'D' so that D' E maps to PR.
C. Reflect (Triangle) E"F"D" across PR so that E" F" maps to QR.
D. Translate (triangle) EFD so that point D maps to point P.
E. Rotate (triangle) E'F'D' so that D'F' maps to PQ.
Answers
Answer:
Letter B is the answer.
Step-by-step explanation:
B is the answer because you would want to rotate figure EFD to PQR, where line DE would line up with PR.
A is not correct because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
C is not correct because it is only being reflected once and the line upon where it is being reflected wouldn't match up with the triangle PQR. EF would not be able to mapped onto line QR because of the line it is being reflected upon.
D is not correct for the same reason as A, which is because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
E gets close because of it being rotated, but it is incorrect since line DF wouldn't match up with line PQ. PQ is only congruent to line EF.
#teamtrees #WAP (Water And Plant)
Answer:
It is B and A
Step-by-step explanation:
I just took the test and got it right
The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2
Answers
Answer:
The answer is 3
Step-by-step explanation:
At a local dealership, the base price of a car is $24,300. Adding air conditioning costs an extra $725. Upgrading to a leather interior costs an extra $1,225, and installing four heated seats costs $945. Round each cost to the nearest thousand and then estimate the total cost of the car, including the additional features. A. $26,000 B. $27,000 C. $28,000 D. $29,000
Answers
Answer:
B. $27,000
Step-by-step explanation:
Given that:
The base price of a car = $24300
The air conditioning costs = $725
The leather interior costs = $1225
Installation of four heated seats cost = $945
if we round each entity of item purchased to the nearest thousand, Then:
The base price of a car ≅ $24000
The air conditioning costs ≅ $1000
The leather interior costs ≅ $1000
Installation of four heated seats cost ≅ $1000
So, the total estimate = 24000 + 1000 + 1000 + 1000 = $27000
= $27000 to the nearest thousands
HELLOOOO WHY IS NOBODY ANSWERING COULD SOMEONE ANSWER MY QUESTION I. REALLY. NEED. HELP!?!sorry if im annoying but I need help... Determine how many x-intercepts the quadratic function in the graph has and identify the intercept points.
Answers
Answer:
Its C
Step-by-step explanation:
the line crosses the x axis twice at the 2,0 point and the 6,0 point
What is a equivalent fraction to 8/15 using the denominator 15
Answers
Answer:
15/22
Step-by-step explanation:
The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
rectangle?
Answers
this is a sat practice. need help
Answers
Answer:
The answer is A) -1 + 12i
Step-by-step explanation:
(7 + 3i) + (-8 + 9i)
(7 - 8) + (3 + 9)i
7 - 8 = - 1
3 + 9 = 12
- 1 + 12
(7+3i)+(-8+9i)
You go ahead and rewrite it like this
7-8+3i+9i
And then combine like terms
-1+12i
So your answer is A
Expand these expressions.
−(−x − 7)
Answers
It is an unlike term
Step-by-step explanation:
hope this helps you
The answer is 50. I need help showing the work :/
Answers
Answer:
add them together and set them equal to 180
Step-by-step explanation:
They are both supplementary angles, so 15x+85+20x-10=180, so combine like terms=>35x+75=180
subtract 75 from both sides=>35x=105
divide both sides by 35 to get x alone=>x=3
plug that in for 20x-10
20(3)-10
=>60-10
=>50