Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
10 x 1/5 in simplest form
Hey there!
ANSWER: [tex]2[/tex]EXPLANATION:[tex]10*1/5[/tex]
Divide 10 by 5.
[tex]10/5=2\\2(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
2.
Step-by-step explanation:
[tex]10 *\frac{1}{5} = 2[/tex]
Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
We must have these informations in mind:
1) A penny is a 1-cent coin.
2) A dime is a 10-cent coin.
3) A nickel is a 5-cent coin.
Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:
[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)
In addition, we get the following identities:
i) He has three more nickels than dimes
[tex]z + 3 = y[/tex] (Eq. 2)
ii) And five times as many pennies as dimes
[tex]x = 5\cdot z[/tex] (Eq. 3)
The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)
[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]
[tex]0.20\cdot z = 0.60[/tex]
[tex]z = 3[/tex]
The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].
Anurak has 15 pennies, 6 nickels and 3 dimes.
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.
Answer:A
Step-by-step explanation:
Answer: Answer is A
Step-by-step explanation: i got it right on edge 2023 <33
evaluate each expression. (1/3)^4
Answer:
1/81
Step-by-step explanation:
[tex] \huge \bigg( \frac{1}{3} \bigg)^{4} = \frac{1}{ {3}^{4} } = \frac{1}{81} \\ [/tex]
please answer or i fail
Answer:
42
Step-by-step explanation:
360 - ( 139 + 45+ 90+44)
Answer:
42 °
Step-by-step explanation:
complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .
360° - 139° - 45° - 90° - 44° = x
x = 180 - 138 = 42 °
(01.06)
i’m please help
Answer:
the answer is -6
Step-by-step explanation:
x^2+36=0
x^2= -36
√x^2 = √-36
x= -6
Answer with proper units too!
Answer:
Step-by-step explanation:
1. Area of a parallelogram = base * height
area = 10 * 4 = 40 in squared
perimeter = 2(a + b)
perimeter = 2 * (5 + 10) = 2 * 15 = 30in
2. Area of triangle = 1/2 * base * height
area = 1/2 * 21 * 8 = 84 cm squared
perimeter = sum of outer perimeters
perimeter= 10cm + 17cm + 21cm = 48cm
3. area of trapezium = 1/2 * (a+b) * h
area = 1/2 * (6+12) * 4 = 36ft squared
perimeter = sum of outer perimeters
perimeter = 5ft + 6ft + 12ft + 5ft = 28ft
When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals
Answer:
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
Step-by-step explanation:
Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;
divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.
Answer:
B
Step-by-step explanation:
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Answer:
Maggie is 13 years old.
Step-by-step explanation:
Maggie's age is: x
Maggie's brother's age is: 2x - 3
The sum of the ages = 36
x + 2x - 3 = 36
3x - 3 = 36
3x = 39
x = 13
Answer: Maggie is 13 years old.
The current temperature is 70 degrees at 8am. It is a hot day, so the temperature keeps rising 3 degrees every hour. What is the temperature at 1pm?
Answer:
85
Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85
Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r
Answer:
q = r
Step-by-step explanation:
Explanation:-
Given 2q – r = 4p ...(i)
2r = q...(ii)
r = 2p ...(iii)
Substitute 2r = q in equation (i)
2(2r) – r = 4p
3 r = 4 p
2 r + r = 4 p
2 r + 2 p = 4 p
2 r = 2 p
q = r
The ratio of dogs to cats at a veterinarians office is 5 to 3 if there are 15 cats how many total animals are at the office
Answer: 25
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
because if ther are 15 cats then you tomes the 3 by 5 so 5 x 5=25. Then you would do 25+15=40
5. Natalie has a pound bag of 1/8 pound bag of gummy worms, a 1/2 pound bag of twizzlers, and a 2/3 pound bag of chocolate. How many pounds of candy does Natalie have in all?
Step-by-step explanation:
1. Add all the different candies together
1/8 + 1/2 + 2/3=
2. Find the lowest common multiple of all the denominators
All the denominators can evenly multiply to 24 so 24 is the Lowest Common Denominator.
3. Multiply to make all the denominators 24
8x3=24 2x12=24 3x8=24
4. Whatever you did to the denominators, do the same thing to the numerators of that specific denominator.
1x3/8x3 1x12/2x12 2x8/3x8
5. Now that the denominators are the same for all the fractions, add all the numerators together.
3/24 + 12/24 + 16/24
3+12+16= 31
ANSWER: Natalie had 31/24 pounds of candy in all
Note: The decimal form is 1.292 pounds
How can you use unit rates to make comparisons
I can’t figure out how to find the average.
Answer:
The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.
Step-by-step explanation:
Remember what an average is. (Look at the hint at the bottom of the problem.)
To find the average of a set of numbers, add all the numbers and divide by the number of numbers.
For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.
In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.
We know 3 of the 4 scores. We don't know the fourth score because he has not taken the test yet, so we use a variable to represent the unknown score. Let's call the score of the fourth test x.
To find the average of the 4 scores, we add them and divide the sum by 4.
The three known scores are 63, 62, 74.
The unknown score is x.
Add all 4 scores: 63 + 62 + 74 + x.
Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.
[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]
The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.
We get this inequality.
[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]
Now we solve the inequality for x.
Add like terms in the numerator.
[tex] \dfrac{199 + x}{4} \ge 70 [/tex]
Multiply both sides by 4.
199 + x = 280
Subtract 199 from both sides.
x = 81
Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.
Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?
The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?
The price of a stock was $325 a share. The price of the stock went down $25 each week for 6 weeks what was the price of that stock at the end of 6 weeks?
Answer:325 - (25 x 6 ) = $175
Step-by-step explanation:
Which angle pairs are supplementary? Check all that
apply.
Angle 1 and angle 2
Angle 4 and angle 3
Angle 4 and angle 5
Angle 7 and angle 5
Angle 3 and angle 6
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
We need to identify which angle pairs are supplementary.
What are supplementary angles?Supplementary angles are two angles with a sum of 180°.
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
To learn more about supplementary angles visit:
https://brainly.com/question/13045673.
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What is the percent change from 56 to 39? Round your answer to the
nearest tenth.
Answer:
30.4%
Step-by-step explanation:
Some plz solve both for meeeeee <33
10. 4w^2 + 7w^2 + 7z^2
Combine each term with the same variable.
11w^2 + 7z^2
This is in simplest form.
11. 3x + 4(5x + 2)
Multiply each term inside the parentheses by 4.
3x + 20x + 8
Combine all the terms with the same variable.
23x + 8
This is in simplest form.
For an indirect proof, what must first be assumed to prove that LaTeX: \angle X∠ Xis a right angle?
Answer:
If the lines that forms < X are perpendicular, it can be assumed that it is a right angle.
Step-by-step explanation:
An indirect proof of an angle is an assumption about the value of the angle that can be made by mere inspection and some considerations.
< X = right angle = [tex]90^{o}[/tex]
A right angle is one that is equal to [tex]90^{o}[/tex]. As an indirect proof, if the lines that forms the angle are perpendicular; then it can be assumed to be a right angle. Because perpendicular lines are at right angle to one another.
Answer:
verified answer isn't right
Step-by-step explanation:
i dont know the answer but just thought i should let people know
ILL MARK BRAINLIST !! SHOW WORK
Answer: Here is your answer dude
48 books on 6 shelves. How many books on 12 shelves?
Answer:
96 books
Step-by-step explanation:
because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96
Find the two square roots of 9/4?
Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
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5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)
Which scale factor was used to create triangle SRT?
Answer:
1.6
Step-by-step explanation:
5 times 1.6 is 8.
-V35 is it an irrational number
Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?
Answer: 84.93
Step-by-step explanation:
when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93
Answer:
84.93
Step-by-step explanation:
7.28 x 6 +41.25
Do 7.28 x 6
43.68+41.25
Then add together
84.93
A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt
Answer: 0.08192
Step-by-step explanation:
Given: Probability of free throws = 0.80
Then, probability of missing the free throw = 1-0.80=0.20
Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-
[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]
Put p = 0.20 , x=5 and r =1, we get
The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]
[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]
hence the required probability =0.08192
Answer:0.08912
Step-by-step explanation: