Find the measure of the circled angle

Answer:

En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.

Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.

Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.

Answer:

Second option?

Step-by-step explanation:

I would go with the second one. It cannot be the first one because a function must have one y value per each x, but in this case it does not. Same reason for option 3 and 4. Am I right? Please let me know :)

The largest rectangle that fits into the triangle with sides x=0, y=0, and x=4, y=6 has an area of 24 square units.

The coordinates of the vertices of the triangle are given by;

x=0 ⇒ (0, 0)

y=0 ⇒ (0, 0)

x=4 ⇒ (4, 0)

y=6 ⇒ (0, 6)

The base of the rectangle will be parallel to the x-axis and the height of the rectangle will be parallel to the y-axis. The vertices will lie along the sides of the triangle with lengths 4 and 6.

The area of the largest rectangle is base × height

where;

base (b) = 4

height (h) = 6

By substituting the values of (b) and (h) in the equation, we get;

Area of the rectangle = 4 × 6

⇒ 24 square units.

Therefore, the largest rectangle that fits into the given triangle has an area of 24 sq. units.

Learn more about area from the given link.

https://brainly.com/question/16151549

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

To know more about about mensuration follow the link:-

https://brainly.com/question/19241268

#SPJ4

Answer:

145

Step-by-step explanation:

Angle 4 would be equivalent to 1, which means that 1 and 4 would equal 70.

In a circle the angles must equal 360.

So you would do 360 - 70 which equals 290.

The same rule for angles 1 and 4, applies to 2 and 3.

So you would half 290.

Thus, the answer would be 145 degrees.

Hope this helps :)

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

Answer:

24 feet

Step-by-step explanation:

12 ÷ 18=16/y

2y=3*16

y=24

A. When Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit, the cost is $27.84.

B. When Mario got $0.40 in change from buying trail mix The pounds bought will be 5.6 pounds.

A. It should be noted that Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit. The cost will be:

= (2.32 × $3.50) + (4.64 × $4.25)

= $8.120 + $19.72

= $27.84

B. From the information, Mario got $0.40 in change from buying trail mix The pounds bought will be:

20 - 3.50x = 0.40

3.50x = 20 - 0.40

3.50x = 19.60

x = 19.60 / 3.5

x = 5.6 pounds.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The speed at which the water is rising, given the rate the water is coming in is 0.375 feet/minute.

The volume V of water in the room is given by the formula V = length x width x height, where length and width are the dimensions of the room and height is the height of the water.

The rate of change of the height of the water with respect to time (dh/dt) is what we're trying to find. By implicit differentiation, we have:

dV/dt = length x width x dh/dt

60 cubic feet/minute = 16 feet x 10 feet x dh/dt

dh/dt = 60 cubic feet/minute / (160 square feet)

dh/dt = 0.375 feet/minute

Find out more on water rising at https://brainly.com/question/29627068

#SPJ4

Answer:

Hello! answer: 30

Step-by-step explanation:

32 × 30 = 960 HOPE THAT HELPS!

Answer:

Closure Property of Addition

Step-by-step explanation:

Answer:

\(a + b = b + a \: \forall \: a, \: b \in \: \R \ \\ a \times b = b \times a\: \forall \: a, \: b \in \: \R \\ (a + b) + c = (b + c) + a\: \forall \: a, \: b, \: c, \in \R \\ (a \times b) \times c = (b \times c) \times a \: \forall \: a, \: b, \: c, \in \R \\a+0=0+a=0 \: \forall \: a,\in \: \R \\a +b=c\: \forall \: a, \: b, \: c, \in \R \)

The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.

Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.

Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.

Here you can learn more about positive integers

https://brainly.com/question/26051073#

#SPJ11

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Let's solve for x ~

\(\qquad \sf  \dashrightarrow \: 5(2x + 4) = 15\)

\(\qquad \sf  \dashrightarrow \: (5 \times 2x) + (5 \times 4) = 15\)

\(\qquad \sf  \dashrightarrow \: 10x + 20 = 15\)

\(\qquad \sf  \dashrightarrow \: 10x + 20 - 20 = 15 - 20\)

\(\qquad \sf  \dashrightarrow \: 10x = - 5\)

\(\qquad \sf  \dashrightarrow \: \dfrac{10x}{10} = \dfrac{ - 5}{10} \)

\(\qquad \sf  \dashrightarrow \: x = - \dfrac{ 1}{2} \)

hence value of x is - 1/2

The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

learn more about exponential expression here

https://brainly.com/question/26540624

#SPJ11

f(n) = (n+1) * (n) * (n-1) * ... * (2) * (1) * 5 / (5^n). This is the function that identifies the nth term of the recursively defined sequence.

The recursively defined sequence is given by an+1 = ((n + 1 )an / 5) for n ≥ 1, with a1 = 5. We need to find a function f(n) that identifies the nth term an of the sequence, as an = f(n).

To do this, we can use the recurrence relation to express an in terms of a(n-1), a(n-2), and so on, until we reach a1. Substituting an-1 = f(n-1), we have:

an = ((n + 1) an-1 / 5)
  = ((n + 1) f(n-1) / 5)

We can simplify this expression by substituting an-2 = f(n-2) into the expression for an-1, and so on, until we obtain:

an = (n+1) * (n) * (n-1) * ... * (2) * (1) * a1 / (5^n)

This expression shows that the nth term an is a function of n, namely f(n) = (n+1) * (n) * (n-1) * ... * (2) * (1) * a1 / (5^n).

Know more about recursively defined sequence here:

https://brainly.com/question/12374893

#SPJ11

Answer:

A

Step-by-step explanation:

4x2 = 8

3 + 3 = 6

so 8x to the 6th

slope=7

Explanation

the slope of a line ( or segment) is given by

so

Step 1

Let

now,replace in the formula

therefore, the slope is 7

I hope this helps you

After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

Learn more about interest rate here:

https://brainly.com/question/27743950

#SPJ11

Answer:

Graph the system on linear equations.

Step-by-step explanation:

(-4, 4) & (-4, -6)

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

Learn more about equation at https://brainly.com/question/14107099

#SPJ4

Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

Answer:

Step-by-step explanation:

4.30/40=$0.1075

Hope this helps :)

Answer:

Decagon

Step-by-step explanation:

A decagon has 10 vertices. which is greater than the number of vertices a pentagon, hexagon, and octagon has

Answer:

(3x+5)(7x^2+3)

Step-by-step explanation:

Factor : 21x^3+35x^2+9x+15

21x^3+35x^2+9x+15

=(3x+5)(7x^2+3)

______________________

Hope this helps!

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

Learn more about combinations here : brainly.com/question/28065038

#SPJ11

Final Answer: The position of car is at 4.

Here position of car is given by p(t) = \(t^2+4t-17\)

Velocity is rate of change of function so we will calculate derivative of

p(t).

\(dp/dt = 2t+4\)

We want to find the position of car when it moves at a velocity of 10.

so dp/dt = 10

2t +4 = 10

2t = 6  

t = 3

Hence at t = 3 the position of car will be determined.

p(3) = 3^2 + 4*3 -17

p(3) = 4.

To learn more about Velocity visit:  https://brainly.com/question/17127206

#SPJ11.

Option C is correct

The given logarithmic equation is:

f(x) = log(x + 1) - 4

For a logarithmic equation of the form:

f(x) = log(a + b) - c

the y-intercept = -c

Comparing the two equations above:

The y-intercept = -4

Taking note of the point above, the logarithmic function f(x) = log(x + 1) - 4 is plotted below

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

To learn more about hypotheses click here:

brainly.com/question/18064632

#SPJ4

The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

To learn more about hypotheses click here:

brainly.com/question/18064632

#AAA