What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.
Answer:
E
Step-by-step explanation:
Cos=Adjacent/hypotenuse
Cos30=rad3/2
The cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentAlso the following trigonometry relations hold true -
sin²Ф + cos²Ф = 1
1 + tan²Ф = sec²Ф
1 + cot²Ф = cosec²Ф
Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.
We can write the cosine function as -
cosФ = Base/Hypotenuse
cos(30) = √3/2
So, we can conclude that the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2
Therefore, the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
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what is the mean of 3 6 11 7 4
Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
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A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answer:
The ladder would reach 15.2 feet up
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.
Answer:
14 = c
Step-by-step explanation:
it is just like u said;
a + b = c
6 + 8 = c = 14
(it could also be 8-6 = c = 2)
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT
Answer:its D 8 -4 = 4
Step-by-step explanation:
quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
B
Step-by-step explanation:
Amanda does start with 30 homework questions
She does complete 3 questions every 2 minutes
After 10 minutes she has completed half of her questions
But she does not finish 2 questions every 3 minutes
hope this helps <3
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
please find the missing side of this triangle
Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.
Which population sample does NOT produce a biased result?
A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school
Answer: E is the answer
Step-by-step explanation:
The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.
What is a survey?Surveys can be used to determine how representative each person's opinions and experiences are.
When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.
A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.
This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.
Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.
The same holds true if your queries are challenging for customers to comprehend and honestly answer.
As, when he asks every fifth student arriving at school, it can lead to an unbiased result.
Thus, the correct option is E.
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10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)
Answer:
A
Step-by-step explanation:
A because when you find the product you need to add
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Solve for b.
- 28 – 6b= 8
Answer:
-6
Step-by-step explanation:
- 28 – 6b= 8
step 1 add 28 to each side
-28 + 28 cancels out
28 + 8 = 36
we now have -6b = 36
step 2 divide each side by -6
-6b / -6 = b
36 / -6 = -6
we're left with b = -6
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=-6[/tex]
»»————- ★ ————-««
Here’s why:
We will have to preform inverse operations to solve for 'b'.
[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answer:
Most males preferred black laptops
Step-by-step explanation:
Can someone help me out my grads are bad
Answer:
50 m^2
Step-by-step explanation:
3cm = 5 m
6 cm = 10 m
5 x 10 = 50 m^2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
50 [tex]m^{2}[/tex]
Step-by-step explanation:
3cm = 5m
6cm = 10m
5x10 = 50
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
21 3/5 is what percent of 40?
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
HOPE THIS HELPS!!!
Have a great day!
- Hailey: )
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.
The question is incomplete. Kindly see the correct question below
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this
Answer:
9D +6C < 108
Step-by-step explanation:
Let the price of Dvd be D
Let the price of CDs be C
Hence the inequality can be represented as follows
9D + 6C < 108
The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help
Step-by-step explanation:
let's make T= the number if trees...
If we're placing one tree every 12 feet for two miles, then:
T×(space between trees) = (number of miles)×(1mi.)
T×12ft. = 2×1mi. = 2×5280ft.
Dividing by 12ft. to isolate T gives us:
T=(2×5280)/12 = 880
So that'll be 880 trees for 2 miles of street.
The number of trees that they plant on 2 miles of streets will be 880 trees.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 12 feet apart.
Then the number of trees that they plant on 2 miles of streets will be
We know the conversion of miles into feet.
1 mile = 5280 feet
2 miles = 10560 feet
Then the number of trees will be
Number of trees = 10560 / 12
Number of trees = 880
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