Answer:
The answer is 6
Step-by-step explanation:
(0,6)
x=0,y=6
Substituting 0 for x and 6 for y
6=2(0) + b
6=b
or
6 = 3(0)+b
6=b
Therefore, b=6
The terminal side of θ in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of θ
[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]
[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
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hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c
Answer:
A≈87.96
Step-by-step explanation:
A=2πrh+2πr2
= 2pi(2)(5) + 2pi(2)2
Answer:
Hello! answer: 87.92
Step-by-step explanation:
Im a little rusty on these but the answer I believe would be 87.92
2 × 2 × 3.14 = 12.56
2 × 2 × 3.14 = 12.56
4 × 3.14 = 12.56 12.56 × 5 = 62.8
12.56 + 12.56 + 62.8 = 87.92
Hope that helps!
Please help thank you! Sorry for spamming
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.
Answer:
8 1/4 hoursStep-by-step explanation:
Total hours:
3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hoursThe area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?
Answer:
17 meters
Step-by-step explanation:
Area = Length x Width
Width = 7
Area = 119
Solving for: Length
Equation:
119 = 7 * x
Solving for Length (x) :
119 = 7 * x
x = 119/7
x = 17
Units = meters
Answer: 17 meters
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
which set of values could be the side lengths of a 30-60-90 triangle
Answer:
D. 6, 6[tex]\sqrt{3}[/tex], 12
Step-by-step explanation:
the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]
so,
[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]
X^2 +
1/x^2
+12(x+1/x) +38,
Answer:
44
Step-by-step explanation:
Heeeelp please I'm desperate
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
Write an equation of the line that passes through the points (2, -3) and (1,4).
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
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f(n) = 4n +7
Is it geometric or arthmetric
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
If the farm has 10,000 spinach plants, Describe a method that would produce a random sample and how many in your sample study?
Answer:
Take an even number of random samples from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100 spinach plants
Step-by-step explanation:
Given that the total number of spinach plants in the farm = 10,000
To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.
After determining these Take an even number of random sample from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100
Evaluate expression-What is the value of the expression when x=11 and y=7
A.4
B.128
C.49
D.14
Answer:
C. 49
Step-by-step explanation:
Start by filling in your values.
[tex]7^{2} + 99 / 11 - 9[/tex]
Solve using PEMDAS.
49 + 99 / 11 - 9
49 + 9 - 9
58 - 9
49
Answer:
[tex]c .\: \: 49[/tex]
Step-by-step explanation:
[tex] {y}^{2} + 99 \div x - 9[/tex]
[tex] {7}^{2} + 99 \div 11 - 9[/tex]
[tex] 49 +99÷11-9[/tex]
[tex]49+9-9[/tex]
[tex]58-9[/tex]
[tex]49[/tex]
Hope it is helpful...Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
Helppppppppp meeeeeeeeeeee
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
please help 20 points
Answer:
Option C is correct
Step-by-step explanation:
[tex]a. - 3, - 12 \\ = 36[/tex]
[tex]b. - 6, - 6 \\ = 36[/tex]
[tex]c. \: \: 9, - 4 \\ = - 36[/tex]
[tex]d. \: \: 2,18 \\ = 36[/tex]
Hope it is helpful...