Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.
Answers
Answer:
m∠C = 72°
BA = 8.6
AC = 2.8
Step-by-step explanation:
We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:
m∠A + m∠B + m∠C = 180°
And substitute what we have:
90° + 18° + m∠C = 180°
108° + m∠C = 180°
m∠C = 72°
In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:
cos(∠B) = [tex]\frac{BA}{BC}[/tex]
cos(18°) = [tex]\frac{BA}{9}[/tex]
9 * cos(18°) = BA
BA ≈ 8.559508647
And when we round, we get:
BA = 8.6
In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:
sin(∠B) = [tex]\frac{AC}{BC}[/tex]
sin(18°) = [tex]\frac{AC}{9}[/tex]
9 * sin(18°) = AC
AC ≈ 2.781152949
We can round this to:
AC = 2.8
Related Questions
A dartboard has 20 equally divided wedges and you are awarded the number of points in the section of your dark lands in if you are equally likely to land in anyways what is the probability you were score more than five points
Answers
Answer:
[tex]Pr =0.75[/tex]
Step-by-step explanation:
Given
See attachment for wedge
Required
[tex]P(x > 5)[/tex]
The sample space of the wedge is:
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]
[tex]n(S) = 20[/tex]
The outcomes greater than 5 are:
[tex]x > 5 = \{6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]
[tex]n(x>5) =15[/tex]
So, the probability is:
[tex]Pr =\frac{(n(x>5)}{n(S)}[/tex]
This gives:
[tex]Pr =\frac{15}{20}[/tex]
[tex]Pr =0.75[/tex]
What is the slope of this line?
Options:
A. -2
B. 1
C. 2
D. 1/2
Answers
Answer:
b
Step-by-step explanation:
brainliest pls
Identify the slope and y-intercept of the following line: 2y + 4 =-6x
Answers
Answer:
y = -3x - 2, the slope is -3 and the y-intercept is -2
Step-by-step explanation:
2y +4 = -6x and minus the four to get 2y alone
Then divide -4 and -6x by 2 to get y = -3x and -2
*100 POINTS*
Drag and drop the responses into the boxes to correctly complete the statements.
Proving the converse of the Pythagorean theorem means that when ________ for a triangle ABC with _________ of a, b, and c, triangle ABC ________.
Word Box -
Vertices
Angles
Side lengths
(a+b)^2 = c^2
a^2 + b^2 = c^2
is always a right triangle
is never a right triangle
Answers
Answer:
Vertices, Side Lengths, Angles
Step-by-step explanation:
Vertices, Side Lengths, Angles
I took the test
Which side lengths form a right triangle?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
\sqrt2, \sqrt3, \sqrt4
2
,
3
,
4
square root of, 2, end square root, comma, square root of, 3, end square root, comma, square root of, 4, end square root
(Choice B)
B
\sqrt8, 3, \sqrt{17}
8
,3,
17
square root of, 8, end square root, comma, 3, comma, square root of, 17, end square root
(Choice C)
C
5, 6, 85,6,85, comma, 6, comma, 8
Answers
Answer:
this is kinda confusing..So ill just answer the first question.
Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.hope it helps.
which scatterplot is it lol
Answers
Answer:
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point
Place the vocabulary words on the diagram to correctly identify the opposite, adjacent, and hypotenuse sides of the
triangle.
Answers
Answer:
LINE QR IS THE HYPOTENUSE
LINE RS IS THE ADJACENT
LINE QS IS THE OPPOSITE.
pls help i need the answer
Answers
Answer:
137
Step-by-step explanation:
Use the formula for exponential growth:
f(x) = a(1 + r)^x
In this formula, f(x) is the resulting number, in this case the number of fast food stores. a is the initial value, in this case 50. r is the growth rate, which they told you was 7%. And x is the number of time intervals, which is how many years between 1990 and 2005.
Substitute the known values into the equation:
f(x) = a(1 + r)^x
r is going to be 0.07 because the growth rate in the equation is the decimal form of 7%. x will be 15 because 2005-1990 = 15
f(x) = 50(1 + 0.07)^15
f(x) = 50(1.07)^15
Now just solve.
f(x) = 50(1.07)^15
First raise 1.07 to the 15th power.
f(x) = 50(2.75903154)
Then simplify.
f(x) = 137.951577
They want the approximate amount, so round it down to 137. The number actually rounds to 138, but he doesn't have a full 138 stores, so you use 137.
A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
Answers
Answer:
-7 and - 9
Step-by-step explanation:
Area of rectangule is length *width
HELP ASAP
I HAVE NO IDEA WHAT TO DO HERE
Answers
Answer:
Angle A
Step-by-step explanation:
Remember:
SOH CAH TOA
Opposite = Directly across from.
Adjacent = Next to.
Hypotenuse = Longest side.
Tangent = Opposite Side / Adjacent Side.
✓ Tan A = 6 / 8 = 3 / 4 = 3 / 4
× Tan B = 8 / 6 = 4 / 3 ≠ 3 / 4
× Tan C = 10 / 8 = 5 / 4 ≠ 3 / 4
PLEASE HELPPP
Write the steps in the correct order for adding/subtracting polynomials: A) Combine like terms B) Group like terms С) Distribute the negative D) Write in standard form
Answers
2. group like terms
3. combine like terms
4. distribute the negative
50 POINTS!
Solve for the values of x and y
Answers
Answer:
Step-by-step explanation:
What is the median of this data set?
8, 6, 0, 11, 10, 5
Answers
Answer:
Median: 7
Step-by-step explanation:
The median of a set of data is the middlemost number. Order your set into least to greatest order then count inwards. If you have an even set or number then add both middle numbers and divide by 2.
Jordan has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Why?
Answers
Answer:
it does not
this is because his income increases at a constant rate. At any given week, his income increases by double
Step-by-step explanation:
An exponential function is usually in the form : [tex]a^{x}[/tex]
where a = positive constant other than 1
x = variable component
for example ,
Assume that Jordan saves $15. he increases this amount by 10% weekly. this statement represents an exponential function.
The amount he would have in 7 weeks = 15 x (1.1)^7 = 29.23
Answer:No, this does not represent an exponential function because his savings does not increase by a constant ratio.
Step-by-step explanation:
1244566789765432 x 23
whats the asnwer
Answers
Answer:
2.8 and a lot more number after that
Answer:
bro you need to look harder if its not on the internet then its nowhere
Step-by-step explanation:
A chef was preparing for an event. The event was scheduled to have 100 guests in attendance. The chef had a rate of preparing meals for 10 guests every 1 and ½ hrs. At this rate, how many hrs. would it take the chef to prepare the meals for the 100 guests that were scheduled to be at the event?
Answers
Answer:
15 hours
Step-by-step explanation:
10 guests - 1.5 hours
1 guest - 1.5 / 10 = 0.15 hours
100 guests - 0.15 x 100 = 15 hours
--5-2n = 8n + 25 What is the value of n?
Answers
Answer:
-5-2n=8n+25
-5=6n+25
-30=6n
-5=n
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
n=-3
Step-by-step explanation:
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
Answer:
The equation is y=6x
Y
Step-by-step explanation:
Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted right 1 unit.
D.
The graph of h is the graph of g horizontally shifted left 1 unit.
Answers
Answer:
the answer is D
Step-by-step explanation:
The graph of h is the graph of g horizontally shifted left 1 unit.
Given that,
The function [tex]\rm g(x) = x^2[/tex]is transformed to obtain function h:
h(x) = g(x) + 1.
We have to determine,
Which statement describes how the graph of h is different from the graph of g?
According to the question,
The first transformation is vertical transformation.
This type of transformation shifts the graph up or down relative to the parent graph.
The graph will shift up if we add a positive constant to each y- coordinate whereas the graph will shift down if we add a negative constant.
This type of transformation shifts the left or right relative to the parent graph.
This takes place when we add or subtract coordinates from the x-axis before the function is applied.
The h(x) is horizontally shifted left 1 unit
The equation is,
[tex]\rm h(x) = g(x)-1[/tex]
The h(x) is horizontally shifted left 1 unit,
The equation is,
[tex]\rm h(x) = g(x)+1[/tex]
Hence, The graph of h is the graph of g horizontally shifted left 1 unit.
To know more about Transformation of Graph click the link given below.
https://brainly.com/question/21981889
Find the value of x
Answers
Answer:
x = 12
Step-by-step explanation:
Both angles have the same measurement, therefor you can set your formula up as
9x + 1 = 11x-23
9x + 1 + 23 = 11x
24 = 2x
24/2 = x
12 = x
A cereal box is 6.2 inches high, 8 inches long, and 2.5 inches wide. What is the volume
of the cereal box rounded to the nearest tenth.
49.6
41.3
124
248
Answers
Answer:
124
Step-by-step explanation:
v = l×w×h
v = 6.2 × 8 × 2.5
v = 124
What is 304 + 503 = ?
Answers
Answer:
807
Step-by-step explanation:
The answer is 807
3+4=7
300+500=800
800+7=807
A large home improvement store is considering expanding its selection of moving products, such as cardboard boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%) replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval (0.293, 0.355) for the proportion of all customers who have moved in the past five years. What is the correct interpretation of this confidence interval
Answers
The correct interpretation of the confidence interval is 90% confidence that the true proportion of all customers who have moved in the past five years is between 0.293 and 0.355.
The confidence interval is also not a guarantee that the true proportion is between 0.293 and 0.355. It is simply a statement of our confidence that the interval contains the true proportion.
This means that if the study were repeated many times, and constructed a 90% confidence interval each time, then 90% of the intervals would contain the true proportion.
In this case, the sample proportion is 0.324, which is within the confidence interval. This means that the sample data is consistent with the confidence interval. However, the sample proportion could be outside of the confidence interval if we had a different sample.
To learn more about confidence intervals;
https://brainly.com/question/24131141
#SPJ12
pleas help due to night
Answers
Answer:
56 ft
Step-by-step explanation:
Perimeter is the distance around the shape
18 x 2 + 10 x 2 =
36 + 20 =
56 ft
Answer:
56 feet
Step-by-step explanation:
First, we have to understand that since this is rectangle opposite sides are equal, and that perimeter is equal to the sum of all sides. From this, we know that in this question perimeter equals...
perimeter = 18 + 10 + 18 + 10 = 56 feet
Find US, find MN, find YZ
Answers
Answer:
I think the answer it 5
Step-by-step explanation:
what sum of money amounts to rupees 545 4 at 8% BA in 30 months
Answers
Answer:
let sum of money be x
amount=rupees5454
rate=8%
time=30 months
convert month into year
30/12=5/2 years
Step-by-step explanation:
interest=p*t*r/100
=x*5*8/100*2
=40x/200
=x/5
so to find principal use formula
amount=principal +interest
5454=x+x/5
5454=5x+x/5
5454*5=6x
27270/6=x
4545=x
therefore ,sum of money(principal)=rupees.4545
Hope this helps u!!
An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed 120 pounds on Jupiter. What is the alien's weight on Earth?
a.
45 pounds
c.
500 pounds
b.
30 pounds
d.
320 pounds
Please select the best answer from the choices provided
A
B
C
D
Answers
can someone PLEASE HELP thank you!!!
find p
answer has to be in simplest radical form!!
Answers
Answer:
12.7 yards
Step-by-step explanation:
not sure but that's what I got
Mathematics due today just one question.
Answers
Answer:
8 1/4 in 3 = 135.193278 milliliters
Step-by-step explanation:
Option 1 is correct!!
Explanation:
I just got done with state testing. there were two problems I didn't know how to do so I sorta guessed. But when I got home I had to figure out how to do it. Like I don't know why, but it bothers me when there is a problem I don't know how to solve. Am I the only one who is like this or nah?
Answers
Answer:
na u aint
Step-by-step explanation:
i get that feeling all the time it sucks