Answer:
103°
Step-by-step explanation:
19/sin30° = 37/sin C
19/½= 37/sin C
sin C = ½×37/19
= 0.9737
m L C = sin~¹ 0.9737 = 103°
Convert r=8cosθ+2sinθ to rectangular equation
Answer:
Convert
r
=
8
cos
θ
−
2
sin
θ
to Cartesian form
#x^2 + y^2 - 8 x +2 y = 0, using
r
=
√
x
2
+
y
2
≥
0
and
(
x
,
y
)
=
r
(
cos
θ
,
sin
θ
)
.
The Socratic graph of this circle,
with center at
(
4
,
−
1
)
and radius
√
17
.
is immediate.
graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Step-by-step explanation:
the geometric sequence is actually
the second one which is;
8, 24, 120, 240, 1200
I think the common ratio is 3
On a math test, a group of children scored 25, 17, 21, 25, 23, 21, 27, 21, and 18 out of a total of 30. Find their median.
Answer:
21
Step-by-step explanation:
Place the values in ascending order like this:
17,18,21,21,21,23,25,25,27
Find the middle value:
21
So 21 is the median
Solve for x. Enter the solutions from least to greatest. 3x^2 – 33x + 54 = 0
lesser x =? greater x=?
Answer:
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide the whole equation by 3
x²- 11x + 18 = 0
Sum = -11
Product = 18
Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}
x² - 2x - 9x + -9 * -2 = 0
x(x - 2) - 9(x - 2) = 0
(x-2)(x-9) = 0
x - 2 = 0 ; x - 9 = 0
x = 2 ;x = 9
Lesser x = 2
greater x = 9
Answer:
lesser x = 2
greater x = 9
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide both side of the equation by 3
x² - 11 x + 18 = 0
x² - 2x - 9x + 18 = 0
x ( x - 2 ) - 9 ( x - 2 ) = 0
( x - 9 ) ( x - 2) = 0
x - 2= 0 ; x - 9 = 0
solve for x
x = 2 ; x = 9
lesser x = 2
greater x = 9
Find the values of x,y, and z and the perimeter
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
Answer:
3/16 or 3 over 16
Step-by-step explanation:
Find half of 3/8:
1/2x3/8 = 3/16
Brianna made 3 34 cups of granola. She gave 1 12 cups of the granola to her mom and 23 of a cup to her sister. How much granola did she have left?
Answer:
Brianna left with 199 cups of granola.
Step-by-step explanation:
Total cups of granola = 334
granola given to mom = 112
granola given to sister = 23
the number of cups of granola she left is
= 334 - 112 - 23
= 199
So, Brianna left with 199 cups of granola.
In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing 1 student at random from the group who is not on football team
Answer:
There is a 1 in 5 chance. (1/5)
Express Cos K as a fraction in the simplest terms.
The correct value of Cos K is 5/23
Step-by-step explanation:
In a right angle triangle, there are 3 side
1. Hypothenus (this is the longest)
2. Adjacent
3. Opposite
However, we can only determine the adjacent and opposite if an angle is marked in the triangle.
Now, we shall determine the value of Cos K. This can be obtaineasobtain as followed:
From the question given above, the following data were obtained:
Hypothenus = 23
Adjacent = 5
Cos K =? C
The value of Cos K can be obtained by using the cosine ratio as as illustrated below:
[tex]Cos K =\frac{Adjacent}{Hypothenus}\\\\Cos K = \frac{5}{23}[/tex]
Therefore, the value of Cos K is 5/23
Learn more: https://brainly.com/question/12369466
Question 15 of 44
Which of the following arcs are congruent in the circle below
Can someone help me pls
Answer:
Choice C (the third option)
Step-by-step explanation:
[tex](a+b)(a+b) = a^2+2ab+b^2[/tex]
Choice C is incorrect because it is missing the [tex]2ab[/tex]. Hope this helped!
Use abc to find the trigonometric ratios. Enter your answer as fractions
Answer:
Tan <A = 4/3
Cos <A = 3/5
Sin <A = 4/5
Step-by-step explanation:
From the diagram given
Hypotenuse AB = 10
Adjacent = 6
Opposite = 8 (side facingc<A)
According to SOH CAH TOA
Tan <A = Opposite/adjacent
Tan <A = BC/AC
Tan <A = 8/6
Tan <A = 4/3
For Cos <A;
Cos <A = adj/hyp
Cos <A = 6/10
Cos <A = 3/5
For sin<A:
Sin <A = opp/hyp
Sin <A = 8/10
Sin <A = 4/5
please help. the packet is due tonight
Answer:
[C] [tex]\displaystyle \frac{-3}{250}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationConjugationsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Multiplied Constant]: [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]DerivativesDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{\sqrt{x - 4}}[/tex]
[tex]\displaystyle g(29)[/tex]
Step 2: Differentiate
Substitute in function [Function g(x)]: [tex]\displaystyle g(x) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{x + h - 4}} - \frac{3}{\sqrt{x - 4}}}{h}[/tex]Substitute in x [Function g(x)]: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{29 + h - 4}} - \frac{3}{\sqrt{29 - 4}}}{h}[/tex]Simplify: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{25 + h}} - \frac{3}{5}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15}{5\sqrt{25 + h}} - \frac{3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15 - 3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex]Factor: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3(5 - \sqrt{25 + h})}{5\sqrt{25 + h}}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{3(5 - \sqrt{25 + h})}{5h\sqrt{25 + h}}[/tex]Rewrite [Limit Property - Multiplied Constant]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}}[/tex]Root Conjugation: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}} \cdot \frac{5 + \sqrt{25 + h}}{5 + \sqrt{25 + h}}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{5h\sqrt{25 + h} + h^2 + 25h}[/tex]Factor: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{h(5\sqrt{25 + h} + h + 25)}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + h} + h + 25}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + 0} + 0 + 25}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \cdot \frac{-1}{50}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{-3}{250}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Can anyone answer the first 2
Answer:
what is this
Step-by-step explanation:
Water freezes at 0 ° Celsius and 32° Fahrenheit. Water boils at 100° Celsius
and 212° Fahrenheit.
a. Write degrees Celsius as a linear function of degrees Fahrenheit (1 point).
b. What is the slope of your linear equation? What does it mean? (1 point)
c. What is the y-intercept and what does it mean? (1 point)
Answer:
See below.
Step-by-step explanation:
a.
We need degrees C as a function of degrees F.
Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.
We are given two ordered pairs: (32, 0) and (212, 100).
We can find the slope of the line.
m = (100 - 0)/(212 - 32) = 100/180 = 5/9
y = mx + b
C = mF + b
C = (5/9)F + b
Use point (32, 0) for F and C to solve for b.
0 = (5/9)(32) + b
b = -(5/9)(32)
C = (5/9)F - 5/9(32)
C = (5/9)F - 160/9
b.
The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.
c.
The y-intercept is -160/9.
It means that a temperature of 0 degrees F equals -160/9 degrees C.
Value of x? Complementary angles, easy.
Answer:
14 = x
Hope that this helps!
Question 4 of 12
Write a point-slope equation for the line that passes through the point (1, 22)
and is parallel to the line given by y = 14x-3. Do not use parenthesis on the y
side.
Answer:
y - 22 = 14(x - 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 14x - 3 ← is in slope- intercept form
with slope m = 14
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 14 and (a, b) = (1, 22) , then
y - 22 = 14(x - 1)
Emilio plays basketball. During his last 6 games he made 24 out of 60 free
throw shots. If Emilio will have 25 free throws shots in the next games,
about how many he expects to make?
24 out of 60 is 0.4 which is 40%, so to find out how many he would make in 25 throws you multiply 25 by 0.4 then you would get 10 out of 25.
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Un dulce de chocolate de 30gr, marca en su empaque que contiene el 10% de cocoa, ¿Cuántos gramos de cocoa representa esto?
Answer:
The mass of cocoa in chocolate candy is 3 g.
Step-by-step explanation:
30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?
mass of chocolate candy = 30 g
cocoa contains = 10 %
Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g
Mass of cocoa in the candy is 3 g.
Arrange these numbers in order, starting from the smallest. 3/4 , 0 , -1 , -17/20 , -4/5
Answer:
-1, -17/20, -4/5, 0, 3/4
Step-by-step explanation:
Answer:
-1, -17/20, -4/5, 0, 3/4
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
Someone tell me what this question is
Answer:
Orange juice that is 3 dollars per 1 jug
Step-by-step explanation:
A unit rate is per 1 of an item
The only 1 that is per 1 of an item is
Orange juice that is 3 dollars per 1 jug
Answer:
❍ The cost of orange juice is $ 3 per 1 jug.
Step-by-step explanation:
Unit rate means second quantity is 1.For example :- 20 per 1 litre. where, first quantity is 20 and second quantity is 1 .So, The cost of orange juice is $ 3 per 1 jug is represent the unit rate.
Please help!! I'm super confused
Answer:
36cm
Step-by-step explanation:
7cm+11cm = 17cm
8cm +11cm=18cm
18cm+17cm=36cm
Check whether the number 465798 is divisible by 9. Write the steps.
Answer:
No, the answer would be 51755.3 (repeating), so no.
Step-by-step explanation:
If ∠6 = 59°, then ∠2 = ?
because ∠6 and ∠2 are...
Look at image
Answer:
∠2 = 59°
Step-by-step explanation:
∠ 6 = ∠2 = 59° [ corresponding angles ]
Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long? A = lw y = (60 – x)(x) y = (120 – x)(120 + x) y = (120 – x)(x) y = (60 – x)(60 + x) (answer here is A or y = (60 – x)(x))
Answer:
The answer is " [tex]A=(60-y)(60-x)[/tex]".
Step-by-step explanation:
Well, we have set the range at 120 feet.
That implies that [tex]2x+2y=120[/tex]
we already know that perhaps the area of the an elevator is xy, thus in the perimeter measurement we have to solve both x and y.
[tex]2x=120-2y\\\\x=60-y\\\\2y=120-2x\\\\y=60-x[/tex]
These numbers are now plugged in to our A=xy range equation for:
[tex]A=(60-y)(60-x)[/tex]
Answer:
A on edggggggggggg
Step-by-step explanation:
Find the value of x
please help
Answer:
It's 4+33-37 so that's the answer
1/8 pens are in a bag and is to be shared between 3 people . What fraction of pen should each person get?
Answer:
1/24
Step-by-step explanation:
1/8 divided 3/1
1/8 x 1/3=1/24
Sarah's gross income last month was £1260. She pays 20% tax on her gross income. How much tax did Sarah pay last month?
Answer:
£252
Step-by-step explanation:
20% of £1260 = £252
