Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
june drove 116 miles and 5.8 hours at this rate how far will she drive in 5 hours
Help me please!!!!!!
Answer:
c.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Explain how to write and evaluate an algebraic expression.
thirteen less than the quotient of forty and a number; evaluate when n = 2.
Plss Hurry Im D u m b And A Failure Like Im Failing And If I Pass I Get My Games (which i havnt had since 2019) bc i failed last year
Answer:
40/n - 137Step-by-step explanation:
Thirteen less than the quotient of forty and a number. Required equation:
40/n - 13When n = 2 we have:
40/2 - 13 = 20 - 13 = 7Answer:
Sample Response: Replace key words with variables, numbers, and operations. Less than is subtraction, and quotient is division. Order matters with subraction and division. The expression is
40
n
-13. To evaluate is the expression, substitute 2 in for the variable, and then use order of operations to simplify. The value when n = 2 is 7.
Step-by-step explanation:
WILL GIVE BRAINLIST IF RIGHT!!!!
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
6(2x - 11) + 15 = 21
(12x - 66) + 15 = 21
12x - 51 = 21
12x = 21 + 51
12x = 72
x = 6
II
Cuanto es 16/21 dividido en 8/9???
Answer:
1621 ÷ 89 is 67 67 en una fracción or 0.85714285714 en una decimal
Step-by-step explanation:
Please help me i dont know how to do this!
28. The value of 'x' and 'y in the parallelogram ABCD, Where diagonals intersec
at 'O',OA = x - y,
OB = 15, OC = 8 and OD = y-6.
A) x = 17, y = 9
B) x = 29, y = 21
C) x = 9, y = 21
D) x = 21, y = 17
Answer:
B is the answer
x=29 and y=21
Step-by-step explanation:
diagonals of parallelogram bisect each other . so AO will be equal to OC and OB will be equal to OD
Answer:
B.
Step-by-step explanation:
Did it on 3dg3nuity ^.^
Martin bought a new carpet to cover a room. The carpet is in the shape of a square and it covers an area of 200 ft2. How long is the side length of the carpet?
Answer:
14.14 ft long
Step-by-step explanation:
Martin bought a new carpet to cover a room. The carpet is in the shape of a square and it covers an area of 200 ft². How long is the side length of the carpet?
The Area the carpet covers is a square.
Hence, the Area of a square = (Side length)²
From the question, we are given the Area of the square = 200 ft²
Hence:
200 ft² = (Side length)²
We square root both sides.
√200 ft² = √(Side length)²
Side length = 14.142135624 ft
Approximately = 14.14 ft
The side length of the carpet is 14.14 ft long
You are building a model of a mall. The scale factor is 6:24. The model is 9 inches tall. How tall is the actual statue?
Answer: 36 inches
Step-by-step explanation:
height of the building = 9inches.
scale factor of the building = 6:24.
solution
since a scale of 6:24, was used to scale down the original model, the initial or actual height of the statue would be.
[tex]= 9 * \frac{24}{6} \\\\= 9 * 4\\\\= 36 inches[/tex]
Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening of the parabola. show work
y = x ^ 2 + 2x + 2
Solve for b
5/b=45/36
B=
which of the following is a quadratic?
A store is having a Back To School Sale.The total for a skirt,a pair of shoes,and a pair of socks is $32.35 before tax.The pair of socks costs $3.75.The original prices of the skirt and shoes were the same.What was the sales price of the skirt
Answer:
The sales price of the skirt was $14.3.
Step-by-step explanation:
From the information given, you know that the total for the three items is $32.35 which is:
x+y+z=32.35
x is a skirt
y is a pair of shoes
z is a pair of socks
Also, you know that the pair of socks costs $3.75, so you can replace the value of z and subtract this from the total amount to have the price of the skirt plus the pair of shoes:
x+y+3.75=32.35
x+y=32.35-3.75
x+y=28.6
Now, as the original prices of the skirt and shoes were the same and you know that the sum of the two items is equal to $28.6, you can divide this by 2:
$28.6/2=$14.3
According to this, the answer is that the sales price of the skirt was $14.3.
find the determinant of the following matrix. [2 -3] [1 -4]
Answer:
A
Step-by-step explanation:
I don’t know
The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
9514 1404 393
Answer:
(b) signs of the infinities are opposite
Step-by-step explanation:
The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.
Ryan went to the store to buy some apples. The price per pound of the apples is $4.25
per pound and he has a coupon for $2 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
see below
Step-by-step explanation:
Cost for 5 pounds of apples:
($4.25 * 5 pounds) - $2 coupon
21.25 - 2
19.25
Cost of apples with p pounds: 4.25p
If one pound was purchase: 4.25p = 4.25(1) = 4.25
1.The [ ] of an Isosceles triangle is the side included between the pair of congruent angles
Answer:
Base
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles which are scalene triangle, isosceles triangle,, equilateral triangle etc..
An isosceles triangle is a triangle in which two of the sides are equal, also two angles are equal. The two equal sides of the isosceles triangle are called base while the other side is the base.
The base of an Isosceles triangle is the side included between the pair of congruent angles.
which of these fractions is equivalent to 1/8?
Answer:
2/16, 3/24, 4/32, you just have to find a pattern
Step-by-step explanation:
Twenty students from Sherman High School were accepted at Wallaby University. Of
those students, eight were offered military scholarships and 12 were not. Mr. Dory
believes Wallaby University may be accepting students with lower SAT scores if they
have a military scholarship. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200,
1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores
between students with and without a military scholarship? Carry out an appropriate
test at the a = 0.05 significance level. (5 points)
Part B: Create and interpret a 95% confidence interval for the difference in SAT
scores between students with and without a military scholarship. (5 points) (10
points)
Answer:
Data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship is explained below in details.
Step-by-step explanation:
This is a quiz of 2 autonomous groups. The population model differences are not understood. it is a two-tailed examination. Let w be the index for scores of students with army research and o be the index for scores of students without army research.
Therefore, the population means would be μw and μo.
The irregular variable is x w - xo = variation in the sample mean records of students with military accomplishments and students without.
For students with military accomplishments,
n = 8
Mean = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8
Mean = 1099.375
Standard deviation = √(summation(x - mean)/n
Summation(x - mean) = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 -1099.375)^2 = 191921.875
Standard deviation = √(191921.875/8 = 154.89
For students without military scholarship,
n = 12
Mean = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12
Mean = 1073.83
Summation(x - mean) = (820 - 1073.83)^2 + (850 - 1073.83)^2 + (980 - 1073.83)^2 + (1010 - 1073.83)^2 + (1020 - 1073.83)^2 + (1080 - 1073.83)^2 + (1100 - 1073.83)^2 + (1120 - 1073.83)^2 + (1120 - 1073.83)^2 + (1200 - 1073.83)^2 + (1220 - 1073.83)^2 + (1330 - 1073.83)^2 = 238199.4268
Standard deviation = √(238199.4268/12 = 140.89
We would set up the hypothesis.
The null hypothesis is
H0 : μw = μo H0 : μw - μo = 0
The alternative hypothesis is
Ha : μw ≠ μo Ha : μw - μo ≠ 0
Since sample standard deviation is recognized, we would analyis the examination statistic by using the t examination. The formula is
(xw - xo)/√(sw²/nw + so²/no)
From the information given,
xw = 1099.375
xo = 1073.83
sw = 154.89
so = 140.89
nw = 8
no = 12
t = (1099.375 - 1073.83)/√(154.89²/8 + 140.89²/12)
t = 0.37
The formula for determining the degree of freedom is
df = [sw²/nw + so²/no]²/(1/nw - 1)(sw²/nw)² + (1/no - 1)(so²/no)²
df = [154.89²/8 + 140.89²/12]²/(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.89²/12)² = 21650688.37/1533492.15
df = 14
We would get the probability count from the t test calculator. It becomes
p value = 0.72
Since the level of importance of 0.05 < the p value of 0.72, we would not neglect the null hypothesis.
Therefore, these data do not present an acceptable indication of a difference in SAT scores between students with and without a military scholarship.
Part B
The formula for getting the confidence interval for the difference of two population means is expressed as
z = (xw - xo) ± z ×√(sw²/nw + so²/no)
For a 95% confidence interval, the z score is 1.96
xw - xo = 1099.375 - 1073.83 = 25.55
z√(sw²/nw + so²/no) = 1.96 × √(154.89²/8 + 140.89²/12) = 1.96 × √2998.86 + 1654.17)
= 133.7
The confidence interval is
25.55 ± 133.7
List the sides in order from the smallest to the largest
Answer:
The answer would be A, or line LJ, line KL, and line JK.
Step-by-step explanation:
You can tell which lines are smaller by using the angle measurements. The direction from which the angle is shown points to their respected line.
So, angle K goes with line LJ
Angle J goes with line LK
And angle L goes with line JK.
The size of the angle determines the size (not actual size) of the line.
#teamtrees #WAP (Water and Plant)
Samuel found the difference of the polynomials. (15x^2+11y^2+8x)-(7x^2+5y^2+2x)= blankx^2+6y^2+6x What value is missing from his solution?
Answer:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
Step-by-step explanation:
Given two polynomials:
1st polynomial: [tex]15x^2+11y^2+8x[/tex]
2nd polynomial: [tex]-7x^2+5y^2+2x[/tex]
To find:
The value in the blank:
[tex](15x^2+11y^2+8x)-(7x^2+5y^2+2x)= \_\_ \ x^2+6y^2+6x[/tex]
Solution:
Here, we have 3 pair of like terms.
2 terms with [tex]x^{2}[/tex], 2 terms with [tex]y^{2}[/tex]and 2 terms with [tex]x[/tex].
Like terms can be subtracted.
Subtracting the terms with [tex]y^{2}[/tex], the coefficients will get subtracted.
[tex]11y^2 - 5y^2 = 6y^2[/tex]
Subtracting the terms with [tex]x[/tex], the coefficients will get subtracted.
[tex]8x -2x=6x[/tex]
Subtracting the terms with [tex]x^{2}[/tex], the coefficients will get subtracted.
[tex]15x^2 - 7x^2 =\bold{8}x^2[/tex]
Therefore, the answer is:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
Is 14/950 more or less than 1/2 and why!
The scores for the evaluation of a new skateboard are Normally distributed with a mean of 500 and a standard deviation of 100. There were 20,000 skateboards tested.
Use the z-table to answer the question.
What percent of skateboards scored a 700 or higher on this evaluation?
Answer:
2% is the right answer
Step-by-step explanation:
got it correct on edge
Answer:
2% is correct
ED2021
N is an interger what are the possible values of n A-, -2 ,-1, 0, 1, 2 ,3 ,4 ,5 ,6 B-, -1 ,1 ,2 ,3, 4, 5 ,6 C-, -2, -1 ,0 ,1, 2, 3 ,4, 5 D- ,-2 ,-1 ,0, 1 ,2, 3, 4, 5, 6, 7 E-, -1 ,0 ,1 ,2, 3 ,4 ,5 ,6
Answer:
All options have possible values of an integer
Explanation:
From the above options given all options are integers. An integer is a whole number, that is a number that is not a fraction or a decimal number. An integer can be negative, positive or zero such as the above given numbers. Here there are no fractions such as 1/4 or improper fractions as 1 3/4 or decimal numbers as 2.543, therefore all options are correct.
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be xBased on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
Learn more: brainly.com/question/24169758
Divide the polynomials.
right answers only
Answer: x-4
Step-by-step explanation:
1. Factor the numerator
(x-4)(x-4)
2. Cancel out factors between the numerator and denominator (if applicable)
(x-4)(x-4)/(x-4)
Since x-4 appears in both the numerator and denominator, you can cancel the factors out, as they are equal to 1, leaving the answer, x-4
Answer:
I believe it should be x-4
Step-by-step explanation:
A company rents a storage unit. The unit is in the shape of a cube. The formula V=s^3 can be used to find the volume of a cube. Using the formula, determine the volume of the storage unit if the side length (s) is 7 feet.
Answer:
343 cubic feet
Step-by-step explanation:
A company rents a storage unit. The unit is in the shape of a cube.
The formula V=s^3 can be used to find the volume of a cube.
Using the formula, determine the volume of the storage unit if the side length (s) is 7 feet.
From the above question
Side length (s) = 7 feet
Formula for the cube = V = s³
Volume of the cube(storage unit) = (7 feet)³
= 343 cubic feet
Question 3(Multiple Choice Worth 5 points)
(02.06 MC)
What is the measure of angle x?
O40 degrees
O80 degrees
O130 degrees
O140 degrees
It costs $11 to rent a canoe and $6.50 to use the canoe for an hour. You have $24. Write an equation that represents the number h of hours you can rent the canoe.
Answer: 11 + 6.50h = 24
You can ride on the canoe for 2 hours.
Step-by-step explanation:
24-11=13
13 divided by 6.50 is 2
So 11+6.50(2)=24
Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help
Answer:
S= 121
HJ= 150
Step-by-step explanation:
pop quiz?