I have to use trigonometric identities to solve. But I’m having trouble finding the values of cos A and sin B. Can anyone help me plz?

Answer:

The volume for a cylinder is [tex]\pi[/tex][tex]r^{2} h[/tex].

The diameter is half of the radius, so the r=2.

So pi x 2^2 x 12, this equals around 150.8 cubic feet.

I don't know what are your choice so just pick one that is closest to 150.8

answer: f(x)<4

I really hope that heped

Answer:

D The bottom choice.

Step-by-step explanation:

The range is the y value of (in this case) an absolute value. The maximum value of this is 4. Everything else is less than 4. The answer would be written as

4≥f(x) which is the same thing as D

Answer:

Step-by-step explanation:

Let me give you an example of a exponential equation and if you need more help let me know.

Ex: 3^2x-1=27

3^2x-1=3^3 (3x3x3=27)

2x-1=3

2x+4

x= 2.

Hope my answer has helped you!

Solving exponential equations involves understanding exponential notation, the concept of logarithms, the rules of division in exponentials, and the relationship between the exponent and the decimal shifts.

To solve exponential equations, understanding exponential notation is crucial. This notation is used to express very large and very small numbers as a product of two numbers. The first number of the product referred to as the digit term, is usually not less than 1 and not equal to or greater than 10. The second component of the product considered the exponential term, is written as 10 with an exponent. Definitely, knowing about the squaring of exponentials is helpful, where you square the digit term in the typical way and multiply the exponent of the exponential term by 2.

What also comes in handy in this process is the concept of logarithms. For instance, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. To put it in a mathematical expression, log xy = log x + log y.

Moreover, when dealing with division in exponential equations, you typically divide the numbers out front and subtract the exponents. For example, if you have 10⁶ divided by 10³, you will get 10^(6-3) = 10³.

Lastly, the power or exponent of 10 is equal to the number of places the decimal is shifted. For example, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be written as 3.6 × 10⁻¹⁰.

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Answer:

d

Step-by-step explanation:

Answer:

It would be 32. my G

Answer:

D

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

100° is an exterior angle while 68° and x° are the opposite interior angles, thus

x + 68 = 100 ( subtract 68 from both sides )

x = 32° → D

Answer:

45*2/3 is 90/3 which is 30 times

Step-by-step explanation:

Answer:

The cost of a funnel cake is $6.75 and the cost of a milkshake is $4.50

Step-by-step explanation:

Let

x-----> the cost of a funnel cake

y----> the cost of a milkshake

we know that

5x+3y=47.25 -----> equation A

2x+6y=40.50 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (6.75,4.50)

see the attached figure

therefore

The cost of a funnel cake is $6.75

The cost of a milkshake is $4.50

Answer:-2.125

Step-by-step explanation:

1. simplify the function

-2(x+3)2-5

(-2x-6)2-5

(-4x-12)-5

-4x-17

2. formula for axis of symmetry: -b/2a

a=-4 b=-17

-(-17)/2(-4)=17/-8=-2.125

Answer:

The axis of symmetry for the function f(x) is x=-3.

Step-by-step explanation:

The vertex form of a quadratic function is

[tex]y=a(x-h)^2+k[/tex]                 .... (1)

Where, (h,k) is vertex and x=h is the axis of symmetry.

The given function is

[tex]f(x)=-2(x+3)^2-5[/tex]           .... (2)

From (1) and (2), we get

[tex]a=-2,h=-3,k=-5[/tex]

The axis of symmetry is

[tex]x=h[/tex]

Substitute h=-3 in the above equation.

[tex]x=-3[/tex]

Therefore the axis of symmetry for the function f(x) is x=-3.

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

Answer:

Step-by-step explanation:

It seems that the question was cut off before it was completed. To provide an answer related to the domain in mathematical terms, the domain is an essential component of a function. Let me explain it in detail:
In mathematics, when we talk about a function, f(x), the domain of the function represents the set of all possible input values (x-values) for which the function is defined. It's essentially the set of "allowable" values that we can plug into our function to get an output.
To determine the domain of a given function, we have to consider the nature of the function itself and any mathematical rules or constraints that apply. Here are several examples that can come up:
1. **For a polynomial function**, such as f(x) = x^2 - 3x + 2, there's no restriction on the x-values. So the domain is all real numbers, often written as (-∞, ∞).
2. **For a rational function** (a ratio of two polynomials), like f(x) = (2x + 1) / (x - 3), we must exclude x-values that would make the denominator equal to zero, since division by zero is undefined. In this case, the domain is all real numbers except x = 3, or in interval notation: (-∞, 3) U (3, ∞).
3. **For a square root function**, such as f(x) = √(x - 4), the expression inside the square root must be non-negative, since we're typically considering real-valued functions. So the domain of this function is x ≥ 4, or in interval notation, [4, ∞).
4. **For a logarithmic function**, like f(x) = log(x), the argument of the logarithm must be positive. Therefore, the domain is x > 0, or in interval notation, (0, ∞).
5. **For trigonometric functions**, such as f(x) = sin(x), since there are no restrictions on the input of sine function in terms of real numbers, the domain is all real numbers.
In conclusion, to define the domain of a particular function, we need to consider the mathematical constraints such as not dividing by zero, keeping the radicand of square roots non-negative, and ensuring the arguments of logarithms positive, among others. Once these conditions are taken into account, we can specify the domain of the function, which is often expressed as an interval or a set of intervals on the real number line.

Answer:

500.874

Step-by-step explanation:

Answer:

x< [tex]x<−32 or x>−43[/tex]

Step-by-step explanation:

Answer:

[tex]32x^3+4x^2+41x-35[/tex]

Step-by-step explanation:

We have these two polynomials

[tex](8x-5)(4x^2+3x+7)[/tex]

Now we need to distribute one polynomial to all of the terms to the other.

[tex]32x^3+24x^2+56x-20x^2-15x-35[/tex]

Next we can combine all of the like terms

[tex]32x^3+24x^2+56x-20x^2-15x-35\\\\32x^3+4x^2+41x-35[/tex]

Answer: 32x^3 + 4x^2 + 41x - 35

Step-by-step explanation:

Answers:

A) 56 Inches

B) 1 Yard

Explanation:

A) 56 Inches is 4.6 Feet

B) A Yard is 3 Feet

Note:

C) 1 Yard 2 Feet is exactly 5 feet but not less than five as its equal.

Answer:

The answer is A. and B

56 inches, and 1 yard

Step-by-step explanation:

i took it on my unit practice.... pls give me brainliest..! tysm

Answer: what are the options?

Step-by-step explanation:

(21•8)-(8•3/2)-(8•6/2)=

168-12-24= 168-36=132

The big rectangle-small triangle on the left-triangle on the right

Answer:

B. 8.37 ft

Step-by-step explanation:

⇒This question is on circumference

⇒The water sprinkler covers a circular pattern as it moves to cover 300° and remain with 60° to cover so as to complete a single circular pattern.

⇒The remaining distance asked is the one represented by 60°

⇒Apply the formula for circumference of a circle with angle theta

[tex]c=2\pi r\alpha/360[/tex]   where alpha is the angle in degrees

Given that r=8ft and ∝=60°

c=3.14×2×8×60°/360°

c=8.37 ft

Check the picture below.

Answer: May 1st

Step-by-step explanation:

They have pay initially the down payment of 5% and the first month's installment.

You should start on May 1, because if you want to get it for her for Christmas.

Option D is correct.

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.

Down payment is the initial deposit made by the buyer to the seller when purchasing an expensive item, such as residential property or a car.

According to the question

Bryson and his cousins plan to all chip in to get their grandmother a $250 Christmas present.

They make a down payment of 5% and pay $30 a month after that.

If the payments are due at the beginning of each month, then they have to pay the first month's installment with their down payment.

That means they have pay initially the down payment of 5% and the first month's installment.

Total price = $250

Down payment = $250 x 5% = $12.5

Remaining amount = 250 - 12.5 = 237.5

= [tex]\frac{237.5}{30} =7.91[/tex] ≈ 8 months

You should start on May 1, because if you want to get it for her for Christmas.

May to December is 8 months.

Option D is correct.

Find out more information about down payment here

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Your answer should be x < 0 or x > 4.

I'm 3 Brainliests away from ranking up, so one would be much appreciated. Thank you, and good luck!

The blue dot on the number line has a value of 6.

To determine the value of the blue dot on the number line, we need to understand the spacing between consecutive dots. Given that the fifth dot is marked as 2 and the seventh dot is marked 10, we can calculate the spacing between each consecutive dot.

The spacing between each pair of dots is given by:

[tex]\[ \text{Spacing} = \frac{\text{Value of Seventh Dot} - \text{Value of Fifth Dot}}{\text{Number of Dots between}} \][/tex]

Substitute the given values:

[tex]\[ \text{Spacing} = \frac{10 - 2}{7 - 5} = \frac{8}{2} = 4 \][/tex]

Now, calculate the value of the blue dot:

[tex]\[ \text{Value of Blue Dot} = \text{Value of Fifth Dot} + (\text{Spacing} \times \text{Number of Dots to the Blue Dot}) \][/tex]

[tex]\[ \text{Value of Blue Dot} = 2 + (4 \times 1) = 6 \][/tex]

Therefore, the blue dot on the number line has a value of 6.

165\15= number of tubs

165 divided by 15 equals the amount of the tubs that he sold.

(I assume the two different name things, isaac&dominic, is a mistake since there isnt any information for Dominic)

Answer:

you need to give more info please

Step-by-step explanation:

To measure length to the nearest fourth inch, use a ruler or measuring tape that shows inches and fractions of an inch. Align the beginning of the ruler or tape measure with one end of the object and identify the nearest one-fourth inch mark.

When measuring length to the nearest fourth inch, you can use a ruler or a measuring tape that shows inches and fractions of an inch. Start by aligning the beginning of the ruler or tape measure with one end of the object you want to measure. Then, identify the nearest one-fourth inch mark on the ruler or tape measure and record the measurement. For example, if the object aligns with the 3 1/4 inch mark, the length can be recorded as 3 1/4 inches.

Answer:

A

Step-by-step explanation:

AE=EC

5x-10=2x+5

5x-2x=5+10

3x=15

x=5

Answer:

The correct answer is option A.  5

Step-by-step explanation:

It is given a rectangle ABCD

To find the value of x

It is given that,

AE = 5x - 10 and EC = 2x + 5

Since ABCD is a rectangle, All diagonals are equal.

AC = BD and AE = EC

AE = EC

5x - 10 = 2x + 5

5x - 2x = 5 + 10

3x = 15

x = 15/3 = 5

Therefore the correct answer is option A.  5

Answer:

about 54% of the people surveyed were females

Step-by-step explanation:

to calculate the % of females out of everyone, you need to add everyone up, and then add up only the females.

119+150+447+735+1174+103+171+512+710+756=4877

4877 is the Total number of people surveyed

119+150+447+735+1174=2625

2625 is the total number of females surveyed

so

to convert 2625/4877 to a %, first turn it into a decimal

2625/4877=0.538

now multiply 0.538 by 100

0.538*100=53.8%

so about 54% of the people surveyed were females

D) about 54% of the people were women

Answer:

see explanation

Step-by-step explanation:

Given

2x - [tex]\frac{3}{x}[/tex] = 1

Multiply through by x

2x² - 3 = x ( subtract x from both sides )

2x² - x - 3 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

The factors are + 2 and - 3

product = 2 × - 3 = - 6 and sum = 2 - 3 = - 1

Use these factors to split the x- term

2x² + 2x - 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x + 1) - 3(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

The given quadrilateral is a rectangle.

Step-by-step explanation:

We are given the vertices of a quadrilateral,

We can use the slopes and modulus of all sides to determine whether it is a rectangle or not. The four sides of the quadrilateral are Ab, BC, CD and AD. So finding slopes of all sides using the formula

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where x_1 and y_1 are the coordinates of firsst vertex and x_2 and y_2 are coordinates of second vertex.

So.

Slopes are:

Slope of AB = 2 and Length=2.23

Slope of BC = -1/2 and length = 4.47

Slope of CD = 2 and length = 2.23

Slope of AD = -1/2 and length = 4.47

As we can see that the slope of AB and CD is equal which means that they are parallel and their lengths are also same.

Similarly BC and AD have same slope which means that they are also parallel and their lengths are also equal.

More over the product of slopes of AB and CD, BC and CD, CD and AD and AD and AB is equal to -1 which indicated that these sides are parallel to each other so it can be concluded that as the opposite sides of the quadrilateral are equal and the interior angles are 90 degrees so the quadrilateral is a rectangle ..

Answer:

I am given that the vertices of quadrilateral ABCD are A(-1, 6), B(-2, 4), C(2, 2), and D(3, 4). The slope formula applied to each pair of adjacent vertices gives the slopes (m) of the sides:

slope of AB (m AB) = 4 - 6 / -2 - -1)  = -2 / -1 =2

slope of BC (m BC) = 2 - 4 / 2 - (-2)  = -2 / 4 = - 1 / 2

slope of CD (m CD) = 4 - 2 / 3 -2  = 2 / 1 =  2

slope of DA (m DA) = 6 - 4 / - 1 -3  = 2 / - 4 =  - 1 / 2

Because line segments with equal slopes are parallel, segment AB is parallel to segment CD and segment BC is parallel to segment DA.

Multiplying the slopes of one pair of adjacent sides, I find that.

mAB * mBC = 2 * - 1/2 = - 1

If the product of the slopes of two segments is -1, then they are perpendicular. Since both pairs of opposite sides have been proven parallel, proving one pair of adjacent sides perpendicular implies that the other pair of adjacent sides are also perpendicular. Therefore, by definition, quadrilateral ABCD is a rectangle.

Step-by-step explanation:

Answer:

r=64°

Step-by-step explanation:

angles in a triangle = 180°

180 -37 -27 = 116

angles in a straight line = 180°

180 -116 = 64

r= 64

Answer:

d. 64

Step-by-step explanation: i had it on usa testprep

The answer is 1,200.

Hope this helps!

Answer:

Option B. 1,200.

Step-by-step explanation:

Regina is in charge of purchasing notepads to  give away at an upcoming trade show.

she knows that 65 boxes of notepads will contain a total of 1,625 pads.

We calculate this by unitary method. first we calculate the amount of pads in one box.

∵  65 boxes contains = 1,625 pads

∴  in one box = 1,625 ÷ 65 = 25 pads

She purchases 48 boxes, so she will receive = 25 × 48 = 1,200 pads

She would receive 1200 pads if she purchases 48 boxes.

Answer:

10

Step-by-step explanation:

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 5, - 8)

d = [tex]\sqrt{(-5+5)^2+(-8-2)^2}[/tex]

  = [tex]\sqrt{0^2+(-10)^2}[/tex]

  = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10