Answers
Answer:
[tex]a =\frac{\sqrt 3}{2}[/tex] mi
[tex]b =\frac{1}{2}[/tex] mi
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]
[tex]\sin(60) = a[/tex]
[tex]a = \sin(60)[/tex]
In radical form:
[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]
Hence:
[tex]a =\frac{\sqrt 3}{2}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
[tex]\sin(30) = \frac{b}{1}[/tex]
[tex]\sin(30) = b[/tex]
Rewrite as:
[tex]b =\sin(30)[/tex]
In radical form:
[tex]\sin(30) = \frac{1}{2}[/tex]
Hence:
[tex]b =\frac{1}{2}[/tex]
Related Questions
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Answers
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
Benita spent 25% of her money on new shoes. The
shoes cost $20. How much money did she have
before buying the new shoes?
Answers
Does 23^-1 (mod 1000) exist? If yes solve it.
Answers
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let x be the inverse. Then x is such that
23x ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for x :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
Marc is a pharmacist and has documented the number of pills for the last 20 prescriptions he has filled. The data he recorded is in the table below. Assuming that Marc continues to fill prescriptions with number of pills that follow the same proportions, which of the following statements are true? Number of pills Prescriptions 101010 444 202020 444 303030 444 404040 555 505050 333 Total 202020 Choose all answers that apply: Choose all answers that apply: (Choice A) A In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills. (Choice B) B The most likely number of pills in the next prescription that Marc fills is 40. (Choice C) C The expected number of pills in the next prescription that Marc fills is 29.5, point, 5. (Choice D) D The expected total number of pills in the next 20 prescriptions that Marc fills is 680.
Answers
Answer:
All except the one that ends with 680, so SELECT THE FOLLOWING:
✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.
✓The most likely number of pills in the next prescription that Marc fills is 40.
✓The expected number of pills in the next prescription that Marc fills is 29.5.
Step-by-step explanation:
I did it on Khan for an exam.
A(x): x²+nx+m Hallar n y m para que A(x) admita raíz -4 y el resto de dividir A(x) por (x-1) sea -20
Answers
True or False? Please help!!
Answers
Find the value of x.
Answers
Answer:
x = 33
Step-by-step explanation:
Like the previous question we are going to imagine that the only angle there is angle "x"
Angle "x" is now an inscribed angle and it's intercepted arc has a measure of 66 degrees.
Now remember that an inscribed angle is equal to half of its intercepted arc.
This means that x = half of 66
[tex]\frac{66}{2} =33[/tex]
Hence, x = 33
Not if this correct????
Answers
Step-by-step explanation:
(o, -2) is the correct answer because in -90°
P [x,y] =P' [y,-x ]
hope it is helpful to you
3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)
Answers
Answer:
D
Step-by-step explanation:
6(g + 4)
we distribute the 6 to the terms in the parenthesis.
(6 × g) + (6 × 4)
(6g) + (24)
6g + 24
How often should I study math per week?
I usually study every day but that's really tiring for me
I know this isn't the perfect place to put this question but I have no one else to ask sooo
Answers
Step-by-step explanation:
math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.
there is not a one sized fits all answer, do what's best for you.
Answer:
I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.
Step-by-step explanation:
!!!!I REALLY NEED HELP!!!!!
Which of the following statements uses communicative property of multiplication?
A.8x4=4x8
B.2x(9x5)=(2x9)x5
C.1x10=10
D.7x0=0
Answers
according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers
how to write 1 896 025
in words
Answers
Answer:
one million eight hundred ninety-six thousand twenty-five
PLACE VALUE
1- millions place
8- hundred thousands place
9- ten thousands place
6- thousands place
0- hundreds place
2- tens place
5- ones place
Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34.
The lengths of the sides of triangle RST are given.
Enter the lengths of the sides of the triangle R'S'T' below.
(Decimal values may be used.)
RS=8 units
R'S'=
units
ST=10 units
S'T'=
units
RT=12 units
R'T'=
units
NO SCAMMERS ALLOWED
Answers
ANSWER: R=6
S= 7.5
T=9
Hector's income is 78,000 dollars per year (52 weeks).
How much money does he make weekly?
Answers
Answer:
1,500.00
Step-by-step explanation:
Assuming 52 weeks in a year, you would make $1,500.00 per week.
Answer:
$1500
Step-by-step explanation:
Here, the question asks what hector's income per week is.
- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.
- If a question asks what something is of a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.
The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).
I hope this helped :)
The height of a triangle is 2x and the base is x + 7. Write an expression that represents the area of the triangle.
Answers
Answer:
x^2 +7
Step-by-step explanation:
1/2×(x+7)(2x)
2x^2 + 14x/2
2(x^2+7)/2
=x^2 +7
1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units
Answers
20 points!! please help me with this :)
Answers
Answer:
The third graph
Step-by-step explanation:
y intecepts at (0, 4) and (0, 12)
the slopes are up 1 over 3 and up 3 over 1
What is the mean of the data set below?12, 11, 14, 14, 14, 12, 7
Answers
So 7+11+12+12+14+14+14=84
There is 7 numbers in the data set...
So 84/7=12
12 is your mean
Hope this helps! Have a nice day :)
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answers
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
A right triangular prism is shown.
6 in.
11 in.
8 in.
What is the volume in cubic inches of the prism? Enter only the number.
Answers
The volume in cubic inches of the prism is 528 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
The volume is calculated as:-
V = L x W x H
V = 6 x 11 x 8
V = 528 cubic inches
Therefore the volume in cubic inches of the prism is 528 cubic inches.
To know more about Volume follow
https://brainly.com/question/1972490
#SPJ2
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answers
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
Flip two coins 200 times how many times will coins match
Answers
Answer:
in all about 70
Step-by-step explanation:
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
Answers
PLEASE HELP
will mark brainliest
Answers
Answer:
Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.
find the arthmetic and the geometric means of 4 and 9
Answers
Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99
Answers
The approximate measure of angle Q will be 93.2°. Then the correct option is B.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.
Then the approximate measure of angle Q will be given as,
RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²
21² + 23² – 2 × 23 × 21 × cos Q = 32²
441 + 529 – 966 cos Q = 1024
970 – 966 cos Q = 1024
966 cos Q = – 54
cos Q = – 54 / 966
cos Q = – 0.0559
Q = 93.2°
The approximate measure of angle Q will be 93.2°.
Then the correct option is B.
Learn more about law of cosines here:
https://brainly.com/question/17289163
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Find the measure of an arc formed by 1 slice of pizza
Answers
Which line is perpendicular to the y-axis and goes through (-3,7)?
Answers
Answer:
A
Step-by-step explanation:
x = -3 goes straight through -3, 7 vertically
HELP find the area of the triangle I’ll mark brainest
Answers
Answer:
31.5 units.
Step-by-step explanation:
Area = BC * distance from BC extended to A/2
A to BC extended and the line is vertical from A to BC extended = 7+2 units
A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height
h = 9 units
BC = 7 units
Area = 1/2 * h * BC
Area = 1/2 * 9 * 7
Area = 1/2 * 63
Area = 31.5
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY