Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5
Answer: it’s a
Step-by-step explanation:
For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form
Answer:
[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]
And that the two angles A and B are both in QI (positive acute angles).
Given this, we want to determine the value of sin(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:
[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]
Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:
[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]
In conclusion:
With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.
With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.
We can rewrite our original expression as:
[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]
And since A and B are both in QI, all trigonometric ratios will be positive.
Using the above conclusions, substitute:
[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]
Simplify. Hence:
[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]
Find the surface area of the prism.
Answer:
The surface area of the prism is 386m²
Step-by-step explanation:
The surface area of a box is equal to the sum of the areas of each side of the box.
[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]
Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.
[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]
Simplify each term.
[tex]210 + 120 + 56[/tex]
Simplify by adding numbers.
[tex]386m ^{2} [/tex]
Hence, the Surface area of this prism is 386m².
you pick random 6,7,8,9 what is P(9)
Step-by-step explanation:
There are a total of 4 numbers to pick.
P(9) means is the probability of you picking the number 9.
Since you are only picking one number, the probability will be 1/4 or 0.25
How many dominoes will it take to topple over the Empire State Building
Answer:
29
Step-by-step explanation:
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.
[Not drawn to scale]
54 square feet
67.5 square feet
81 square feet
85.5 square feet
Answer:
The answer would be 81, or C
Step-by-step explanation:
youre welcome, have a great day :D!!
Answer:
81 or c
Step-by-step explanation:
No Links Please!!!
A swimming team from East High School is participating in a swim meet with, with three swimmers competing in the
butterfly stroke race.
There are 15 total swimmers competing in the butterfly stroke race.
What is the probability that two East High School swimmers finish first and second in the race?
Enter your answer as a simplified fraction.
Answer:
1/35
Step-by-step explanation:
P= 6 *13! / 15! = 1/35
The probability of two east high school swimmers to come first and second is 1/35.
How to calculate probability?
First, let us calculate the number of desired outcomes:
The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).
Total=2.3.13
Now, calculate the total outcome:
1st position has 15 possibilities, 2nd has 14 and 3rd has 13.
Total=15.14.13
Probability=desired outcome/total outcome
=2.3.13/15.14.13
=1/35
Therefore, probability of the given situation is 1/35.
To know more about probability refer:
https://brainly.com/question/13604758
#SPJ2
Write 0.896146 to 2 significant figures.
Find the missing lengths
Answer:
x = 13 cm
Step-by-step explanation:
The figure given is a square.
Area of the given square (A) = 169 cm²
Formula for area of a square is:
A = s²
Where,
s = x
Thus:
169 = x²
Take the square root of both sides
√169 = √x²
13 = x
x = 13 cm
A sales representative notes that in a particular week he drove 1350 km and used 120 L of petrol. His sales patre
(in another vehicle) drove 940 km and used 88 L of petrol. Express their petrol usages as a rate in the form
kilometres: 100 L
9514 1404 393
Answer:
1125 km/(100 L)1068.2 km/(100 L)Step-by-step explanation:
If u represents the desired usage rate, then the proportion is ...
km/liters = ...
u/100 = 1350/120
u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle
and ...
u/100 = 940/88
u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle
HELPPP PLEASE AND NO LINKSSS PLEASE !!!!
Answer:
1. x=1/8 y+7/8
2. x=1/5 y + -14/15
Step-by-step explanation:
Sorry if I'm wrong
Answer:
X=2/3 Y=?
Step-by-step explanation:
Y=8x-7 and y=5x+14
put the Y's together then solve for X
Then plug in X in the equation
Hope it helps
Which of the following statements is true?
A
When determining the most frequently chosen item, use mean.
B
When the data are not numerical, use mode.
C
When the data have no outliers, use median.
D
When an outlier may significantly influence the mean, use mode.
Answer:
C
Step-by-step explanation:
The answer is C.
Hi help no link pls and ty
Answer:
Unit
Step-by-step explanation:
14.2 as a mixed number.
I need help on how to understand this, not just the answer. Please and thank you!
Answer:
14 1/5
Step-by-step explanation:
okay so first we will convert the decimal to fraction
14.2= 142/10= 71/5
now we convert improper fraction to mixed fraction:
71/5= long division method
14
5 |71
-5
21
20
1
quotient=14 remainder=1
now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side
so...... 14 1/5
. Look at the figure. In degrees, what
is the angle measure of the shaded
part?
Answer:
80%
Step-by-step explanation:
Help anyone? Math is not my strong suit
Answer:
the 3rd one
Step-by-step explanation:
Answer:
it's the 7 one
Step-by-step explanation:
math has patterns if you follow the patterns you can see the symbol and the 7 look alike. stuff like this works for me a lot but I don't know f it'll work this time. If it doesn't I'm sorry I tried.
2. The ratio of 7th graders to 8th graders in student council is 2:3.
If there are 51 8th grade students in student council, what is the
total number of students in student council?
Help me please thank you kindly
Answer:
85 students
Step-by-step explanation:
Given
[tex]7th : 8th =2 : 3[/tex]
[tex]8th = 51[/tex]
Required
Find the total number of students
We have:
[tex]7th : 8th =2 : 3[/tex]
Substitute: [tex]8th = 51[/tex]
[tex]7th: 51 = 2 : 3[/tex]
Express as fraction
[tex]\frac{7th}{51} = \frac{2 }{ 3}[/tex]
Multiply both sides by 51
[tex]51 * \frac{7th}{51} = \frac{2 }{ 3} * 51[/tex]
[tex]7th= \frac{2 }{ 3} * 51[/tex]
[tex]7th= 2 *17[/tex]
[tex]7th= 34[/tex]
So, the total is:
[tex]Total = 7th + 8th[/tex]
[tex]Total = 34 + 51[/tex]
[tex]Total = 85[/tex]
hey can I get the answer key for this I don't understand
Answer: i dont have the answer key but i did answer them for you
Step-by-step explanation:
Answer:
....
Step-by-step explanation:
1.weights
2.coach
3.Olympics
4.stadium
5.finish line
6.gold medal
7.swimming pool
8.team
9.first place
21.starting line
11.score
12.medal
13.athlete
14.trophies
Please, my whole grade depends on this question!!!
Answer:
Y = 1/2 times -3 ( 1 x 5 )
Step-by-step explanation:
Solve for x given the picture
I need an explanation
Will mark brainliest
Answer:
C. 10
Step-by-step explanation:
all the other answers are negative so the triangle would be impossible to make
Brainiest as promised pls
FOR BRANLIEST PLEASE HELP!!
Answer:
55
Step-by-step explanation:
complementary angle means either of two angles whose sum is 90°.
we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same
A regression would be appropriate for which of the following types of data settings A. Estimate the amount hot dogs sales for the Superbowl game in Saint's stadium based on a sample of the hot dog stands. B. Estimate the increase in lung cancer for smokers vs. non-smokers C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed D. All of the above
Answer:
C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.
Step-by-step explanation:
In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.
A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.
In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.
Mathematically, it is given by the expression;
Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]
Where;
y represents the dichotomous dependent variable.
[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.
Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.
5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd
Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?
Answer:
i converted θ to radians, then put that and the length of the arc into the formula shown.
Which two shapes are equivalent fractions?
Answer:
B. 1 and 3
Step-by-step explanation:
10. Maddy has saved $55 from birthday money. She is earning $25 per week for babysitting her neighbors, which
she also saves. Which function can be used to nd a, the amount of money Maddy will have saved at the end of w
weeks of babysitting?
A. a =55w +25 B. a = 25w + 55 C. a = 55w + 80 D. a = 80w +55
Answer:
B
Step-by-step explanation:
because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.
sorry I'm not great at explaining lol
Solve each equation.
2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25
Answer:
jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt
Step-by-step explanation:
ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6
look at pic 10 pts will mark brainilest sh
Answer:
65in????
Step-by-step explanation:
PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE
Answer:
C
Step-by-step explanation:
The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.
The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.
The section that is both under the dotted line and above the solid line is C.
A saleswoman is paid $15 per hour and $7 for each sale she makes. She wants to earn more than $146 in an 6-hour work period.
Which inequality represents the number of sales, x, the saleswoman must make in an 8-hour period to earn more than $146?
Answer:
43
Step-by-step explanation:
