9514 1404 393
Answer:
a = 14.9
b = 11.1
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationships.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
In this triangle, that means ...
sin(48°) = b/a
cos(48°) = 10/a
Using the cosine relation, we can find 'a':
a = 10/cos(48°) ≈ 14.9
Then using the sine relation, we have ...
b = a·sin(48°) ≈ 11.1
_____
Additional comment
When computing 'b', the full precision value of 'a' should be used.
help and give alot of points What is the sum of
1
2
+
1
4
? Use the fraction strip to help.
One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.
A.
2
8
B.
2
6
C.
4
8
D.
6
8
Answer:
the answer is B because
Step-by-step explanation: 10+10 is 20 and 2+4 is 6 so add 20+6 that equals 26
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{1}{4} \\\\\frac{1}{2} *2 + \frac{1}{4}\\\\\frac{2}{4} + \frac{1}{4} \\\\\frac{3}{4}[/tex]
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much appreciated and I will give brainliest to the answer that explains it to make it the easiest. Thanks
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
x=7
Step-by-step explanation:
3X+2(4+6X)=113
=> 3X +2x4+2x6X=113
=> 3X+8+12X=113
=> 3X+12X=113-8
=>15X=105
=>X=7
how are the positions of 20 c and -20 c on the number line ? How are their positions different?
Answer:
-20c, . . . . 20c
Step-by-step explanation:
-20c is lesser than 20c as it is -(negative), which can be also expressed as -20c < 20c
What is the difference?
5x/x-2 - X+4/2x
Answer: 9x^2-2x+8/2x(x-2)
Step-by-step explanation:
Answer: C
Step-by-step explanation:
WILL GIVE BRAINLIEST GIVE CORRECT ANSWER
Answer:
everything u chose is right
Step-by-step explanation:
50 = 20 + 4h
-20. -20
30/4= 4h/4
7.5 = h
So 50 = 20 + 4(7.5)
50 = 30 + 20
50 = 50
Which of the following is NOT a medium?
a glass window
a vacuum
a metal fork
the ocean
Answer:
A vacuum
Step-by-step explanation:
how do i find the angles of a parallelogram
Answer:
opposite angle are equal and sum of adjecent angle = 180
What are the coordinates of the midpoint of AB where A(-7, 2) and B(5, - 9)? 0 (-2.5, -1) 0 (-6, - 5.5) (1, -9) (-1, - 3.5)
Answer:
(-1, -3.5)
Step-by-step explanation:
The coordinates of the midpoint of segment AB can be obtained via the midpoint formula:
Xmp = (Xa + Xb)/2
which in our case is: (-7 + 5)/2 = -2/2 = -1
Ymp = (Ya + Yb) / 2
in our case: (2 - 9) / 2 = -7/ 2= -3.5
Therefore select the point: (-1, -3.5) from your given list of options.
tell me you love me pls i need sum luv i spent a lot of time doing this
Answer:
yea we all love you $^)
some will deny it but don't believe that. lolll
A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.
Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points
Is this a part-to-part or a part-to-whole ratio? 1 point
Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)
An older person is 8 years older than seven times the age of a younger person. The sum of their ages is 32. What are their ages?
Answer:
there ages are 29 and 3 years old
Select the smaller of the two given numbers.
-|19|, -|12|
Answer:
-|12|
Step-by-step explanation:
|19| is 19, -|19| is -19
|12| is 12, -|12| is -12
-12>-19
30 PTS
NEED ASAP!!!!!
Answer:
I think is it 27 divided by 3 or 3/27
Step-by-step explanation:
Answer:
I think it's the first
Step-by-step explanation:
What is the probability of rolling a standard six sided number cube to a number with 3 letters in the spelling of that number?
A) 1/6
B) 2/6
C) 3/6
D) 4/6
Answer:
C because six, one and two all have 3 letters in the spelling
) تعتبر الدالتين و المعرفتين على R
تمثيليهما البيانيين (C) و(C) على التوالي.
(أنظر الشكل المقابل)
(C)
بقراءة بيانية:
عين (0) ، (1)، (3) ، (0)g
g(3) ،g (1)
* عين السواق الممكنة للعدد 2- بالدالة
و للعدد 4- بالدالة g
شکل جدول تغيرات الدالة g
1
: شكل جدول إشارة الدالة .
(C)
حدد القيمين الحدين العظمى والصغرى
الدالة g على المجال [3 ;1-.
حل المعادلة و المتراجحة التالين:
f(x) = g(a)
f(x) > g(s) +
Answer:
Can you transalate
Step-by-step explanation:
Suppose management could improve the process by reducing the mean time required for an oil change (but keeping the standard deviation the same). How much change in the mean service time would be required to allow for a 10-minute guarantee that gives a coupon to no more than 1 out of every 25 customers on average
This question is incomplete, the complete question is;
The owners of Spiffy Lube want to offer their customers a 10-minute guarantee on their standard oil change service. If the oil change takes longer than 10 minutes to complete, the customers is given a coupon for a free oil change at the next visit. Based on past history, the owners believe that the timer required to complete an oil change has a normal distribution with a mean of 8.6 minutes and a standard deviation of 1.2 minutes.
Suppose management could improve the process by reducing the mean time required for an oil change (but keeping the standard deviation the same). How much change in the mean service time would be required to allow for a 10-minute guarantee that gives a coupon to no more than 1 out of every 25 customers on average
Answer:
Required change in the mean service time is 7.8988
Step-by-step explanation:
Given the data in the question;
How much change in the mean service time would be required to allow for a 10-minute guarantee that gives a coupon to no more than 1 out of every 25 customers on average
let mean = μ
p( x > 10 ) ≤ (1/25)
p( x > 10 ) ≤ 0.4
p( x-μ / 1.2 > 10-μ / 1.2 ) ≤ 0.4
(10-μ / 1.2 ) ≤ 0.4
(10-μ / 1.2 ) ≥ [tex]q_{norm}[/tex] ( 0.96 )
(10-μ / 1.2 ≥ 1.751
10-μ = ≥ 1.751 × 1.2
10-μ ≤ 2.1012
μ ≤ 10 - 2.1012
μ ≤ 7.8988
Therefore, required change in the mean service time is 7.8988
What is the VALUE of the underlined digit? 4,289,302 7,390,276
Answer:
8 is 10trillion and 7 is 1 million hope this helps!
Step-by-step explanation:
On monday, Maggie ran n miles. On tuesday, she ran 90% of the number of miles that she ran on Monday. On wednesday,she ran 50% of the miles that she ran on Tuesday
Answer:
+ 0.5 then 1.5 n
Step-by-step explanation:
The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform the augmented matrix to reduced echelon form, and then find all solutions to the corresponding system. (If there are an infinite number of solutions use s1 as your parameter. If there is no solution, enter NO SOLUTION.)
[9 -2 0 -4 8]
[0 7 -1 -1 9]
[8 12 -6 5 -2]
(x1, x2, x3, x4)=_______
Answer:
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
Step-by-step explanation:
As the given Augmented matrix is
[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 1 :
[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 2 :
[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]
Step 3 :
[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]
Step 4 :
[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]
Step 5 :
[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]
Step 6 :
[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]
∴ we get
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
I dont know how to get the correct answer
Answer:
[tex]42a^{2}[/tex]
Step-by-step explanation:
Split them into sections!
First, [tex]3a[/tex] x [tex]5a[/tex] = [tex]15a^{2}[/tex]
Next, [tex](3a+3a+3a)(3a)[/tex] = [tex]9a[/tex] x [tex]3a[/tex] = [tex]27a^{2}[/tex]
Add [tex]15a^{2}[/tex] and [tex]27a^{2}[/tex] to get [tex]42a^{2}[/tex]
Hope I helped!
uh how do i make histogram??
Answer:
Step-by-step explanation:
To make a histogram, follow these steps:
On the vertical axis, place frequencies. Label this axis "Frequency".On the horizontal axis, place the lower value of each interval. Draw a bar extending from the lower value of each interval to the lower value of the next interval.What does a histogram mean?
Histograms are equivalent to bar charts; they are a means for data counts to be displayed. Real counts against categories are seen in a bar graph; the bar height represents the number of objects in that category. In "bins", a histogram reveals the same categorical variables.
Create a Histogram: Stages for Steps
Sample question: With the following test scores, construct a histogram: 99, 97, 94, 88, 84, 81, 80, 77, 71, 25.
Phase 1: Diagram the x and y axes and label them. The x-axis would be labelled "score" for this case, and the y-axis would be labelled "relative percentage of frequency ."
Phase 2: Pick the number of bins (in statistics, how to choose bin sizes) and mark your graph. Query, Grou, Grou, for this sample,It's a smart option for groups of 10 (the x-axis values are the bins) (it looks like you'll have 5 bars of one or two objects in the group).
Step 3: To get an indication of where to put the frequency "ticks," divide 100 by the number of data points. In our data collection, we have 10 objects, so it makes sense to count 100/10 = 10 percent (one item would equal 10 percent of the total).
Build a histogram
Step 4: Count how many objects are in each bin and then outline a rectangle corresponding to the percentage of the total filled by the bin on the graph. The first bin (20-30) has 1 object in this sample data package, with 70-80 getting two items. When an object lands on a bin boundary (i.e. 80), bring it up in the next bin (80 will go to 80-90)
(hope this helps can i plz have brainlist :D hehe)
Halla tres enteros consecutivos tales que 4 veces el entero del medio es 6 más que la suma del primero y el tercero
What is the absolute value of the difference of the square of the cube of 2 and the cube of the square of 2?
Answer:
zero, would be the same
Step-by-step explanation:
(cube of 2)^2=(2x2x2)^2=8^2=64
cube of 2^2=4x4x4=64
difference would be 0
Rachel has a 4-liter jug of water. She uses it to fiI| 3 small vases each with 900 mL of water. How much water does Rachel use to fill the vases? How much water is left in the jug? Show your work. (1 liter = 1,000 milliliters)
Answer:
Step-by-step explanation:
4 * 1000 = 4000. 4000/900 = 4.4. 4.4 - 3 = 1.4. 900*1.4 = 1260. 1260 mil of water is left. Rachel used 2700 mil to fill the vases.
After solving the expression, the amount of water left in the jug will be equal to 1.3 liters.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The total amount of water = 4 liters
1 liter = 1000 milliliters then,
4 liters = 4000 milliliters.
3 small vases of 900 ml used the water.
Then, total water used = 3 × 900 = 2700 mL
Amount of water left = 4000 - 2700 = 1300 mL.
Then, water left in the jug will be,
x = (1300 × 4)/4000
x = 1.3 L
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ5
Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Check all the answers that are more precise than a weight of 200 grams.
A. 1,000 grams
B. 208 grams
C. 180 grams
D. 480 grams
Answer:
amigo mío la respuesta es la letra B
Answer:
no
Step-by-step explanation
learn english
Math nerds help me out
Answer:
the 3rd one
y= (x-1)(x-6)
Step-by-step explanation:
Answer:
y=(x-1)(x-6)
Step-by-step explanation:
from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6
it crosses the x axes on the roots, which happens at 1 and 6 on the graph
What is the radius of a cone with a volume of 72m3 and a height of 2m
Answer:
just look up cone calculator and you will find it
If the 2nd number in the sequence is 6 and the 6th number is 486. Find the common ratio r
What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither
Answer:
arithmetic sequence
is my answer