Given two trig ratios find the third! if sin left parenthesis angle a right parenthesis equals 4 over 7 and cosine of angle a is 3 over 7 what is tan left parenthesis angle a right parenthesis ? hint: use the definitions of the trig ratios. it might also help if you draw the right triangle. describe your reasoning into finding the answer to the question.

Answer:

18x + 12y ≤ 50

Step-by-step explanation:

Let x be the number of large popcoms and y be the number of small popcoms.

The cost of a large popcom is $18, and the cost of a small popcom is $12. The total cost of purchasing x large popcoms and y small popcoms is given by:

Total cost = 18x + 12y

The problem states that Jarvis has $50 in his wallet to pay for the popcoms. Therefore, we can write the following inequality:

18x + 12y ≤ 50

This inequality represents the situation where Jarvis and his family want to purchase popcoms, and Jarvis has $50 to spend. The inequality ensures that the total cost of the popcoms does not exceed $50.

The ladder will reach a height of 20.6 feet

The given parameters are:

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

\(45^2 = 27^2 +d^2\)

Collect like terms

\(d^2= 45^2 -27^2\)

\(d^2= 1296\)

Take square roots of both sides

\(d= 36\)

When the ladder is moved 4 feet farther, the new distance becomes

\(d= 36+4\)

\(d= 40\)

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

\(45^2=40^2 + h^2\)

Collect like terms

\(h^2 = 45^2-40^2\)

\(h^2 = 425\)

Take the square roots of both sides

\(h = 20.6\)

Hence, the ladder will reach a height of 20.6 feet

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Answer:

X=-2.45

Step-by-step explanation:you have to combine the x's which gives you -11x-2=25 so then you have to add two to 25 and it leaves you with -11x=27 and then you just divide 27 by -11 and x is -2.45

Answer:

x = -5

Step-by-step explanation:

start with factoring

-x^2 - 10x - 25 = 0 (i moved 25 to the left side)

then you can multiply the entire equation by -1 to get rid of the negative sign

x^2 + 10x + 25 = 0

now 5x5 = 25 and 5+5 = 10.

so (x^2 + 5x + 5x + 25) = 0

x(x+5) 5(x+5) = 0

(x+5)(x+5) = 0

(x+5)^2 = 0

so x = -5

The x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

The y-intercept is the point where the value of x is zero while the x-intercept is the point where the value of y is zero

Given the function below;

-4x + 7y = 3

For the x-intercept

-4x = 3

x = -3/4

The x-intercept is (-3/4, 0)

For the y-intercept

7y = 3

y = 3/7

The y-intercept is (0, 7/3)

Hence the x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

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Answer:

brusc de a fi o idee de cadou de ziua lui de a se vedea site-ul nu te cunosc nu te mai înțeleg că nu mai pot ieși băncile să nu fie nevoie nu doar că am vb de la o distanta mai mare de la o distanta de la o distanta de la o distanta de la o petrecere pe placul lui nu mai are nici nu mai are de gând nu este cel al femeilor care au participat la o parte și din străinătate nu te mai înțeleg ce faci in caz contrar îl poți returna în maxim 10 minute nu se poate de la o 07899665543217809

Answer:

-40X-3=120

Step-by-step explanation:

20 characters

Answer:

D = 70 4 2

cuz .

D= WT2

W= 70

T = 4

Answer: B.  \(0 < a_2 < a_1\)

Explanation:

The coefficients tacked onto the trig functions tell us how vertically stretched the curves are. The dashed curve, representing \(y_1(t)\), is taller than the solid curve. Therefore \(a_1\) must be larger than \(a_2\)

For the sine curve, note how it is increasing after we pass through t = 0. This indicates we have \(a_1\) as a positive number. The value of \(a_2\) is positive because the point (0,k) on the cosine curve has k being positive.

A translation happens when a constant is summed to the coordinates of a point. We need to find the values of these constants to determine the rule of translation. When we apply the translation to the point (-9,0), the result is (-12, -4). We can rewrite this as shown below:

The rule of translation is:

We need to find the coordinates for the image of the point (-1, -2). Applying the rule to this point we have:

The image is (-4,-6).

Answer:

the new ratio is 1348 likes per min.

Step-by-step explanation:

given:

647,224 likes/8 hours

find:

calculate a unit rate for likes per minute

= 647,224 likes x    1 hour

        8 hours           60 min

= 1348.33

therefore,

the new ratio is 1348 likes per min.

Answer:

\(25.1cm^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3\)

Answer:

A.

Step-by-step explanation:

in A. your q is 3 so: a1=1 a2= a1*q=3 a3=a2*q=9 and so on.

i C. its almost the right answer too,but notice that a1 is 0. so 0*2 is still 0 so though it looks almost perfect the first number ruins it

The unsigned binary number 100101 is equal to 18 in base 10. The provided options (101, 21, 53, 37) do not match the conversion result.

The provided options (101, 21, 53, 37) do not match the conversion result of unsigned binary number to base.

To convert the unsigned binary number 100101 to base 10, we can use the following steps:
1. Identify the place values for each digit: (2^4) (2^3) (2^2) (2^1) (2^0)
2. Multiply the binary digits with their respective place values: (1×2^4) (0×2^3) (0×2^2) (1×2^1) (0×2^0)
3. Add the results: (16) + (0) + (0) + (2) + (0) = 18

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False, the LCM of 50, 120 and 225 is 1800.

5 is the GCF of 50 120 and 225, not the LCM.

Hope it helps!

Answer:

The answer is False

Step-by-step explanation:

5 is the smallest number that can fit into all 3 numbers.

Answer:

6968575

Step-by-step explanation:

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

Q is not a function

Step-by-step explanation:

The smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero on the interval (-3, a) is a = -2.

To find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) = x^2 + 6x + 8 has a zero on the interval (-3, a), we need to determine the sign change of the function across the interval.

To check for a sign change, we evaluate f(-3) and f(a).

Substituting -3 into the function, we have f(-3) = (-3)^2 + 6(-3) + 8 = 9 - 18 + 8 = -1.

Since f(-3) is negative, we need to find the smallest positive value of a such that f(a) becomes positive.

Now, substituting a into the function, we have f(a) = a^2 + 6a + 8.

To find the smallest positive value of a for which f(a) is positive, we can factor the quadratic equation f(a) = a^2 + 6a + 8 = (a + 2)(a + 4).

Setting the factors equal to zero, we find that a + 2 = 0, and a + 4 = 0. Solving for a, we have a = -2 and a = -4.

Since we are looking for the smallest positive value of a, we take a = -2.

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Among the given options, option (D) -i√6 is NOT a solution to the equation x⁴ - 3x² - 54 = 0.

To determine which values are solutions to the equation x⁴ - 3x² - 54 = 0, we can substitute each option into the equation and check if it satisfies the equation.

For option (A) -3:

(-3)⁴ - 3(-3)² - 54 = 81 - 27 - 54 = 0

Option (A) -3 is a solution to the equation.

For option (B) 3:

(3)⁴ - 3(3)² - 54 = 81 - 27 - 54 = 0

Option (B) 3 is a solution to the equation.

For option (C) -3i:

(-3i)⁴ - 3(-3i)² - 54 = 81 + 27 - 54 = 54

Option (C) -3i is not a solution to the equation.

For option (D) -i√6:

(-i√6)⁴ - 3(-i√6)² - 54 = -36 - 54 - 54 = -144

Option (D) -i√6 is not a solution to the equation.

Therefore, among the given options, option (D) -i√6 is not a solution to the equation x⁴ - 3x² - 54 = 0.

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The equation in slope-intercept form is y = (-2/5)x - 9/2.

Slope-intercept form is an equation of a line that is written in the form of y=mx+b, where m is the slope of the line and b is the y-intercept. The slope-intercept form makes it easy to identify the slope and y-intercept of a line from an equation.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Therefore, for a line with a slope of −2/5 that passes through the point (15, −9/2), we can solve for b using the point-slope formula.
Point-slope formula:  y - y1 = m(x - x1)
Plugging in the given information, we get:
-9/2 - (-9/2) = (-2/5) (15 - 15)
Solving this equation yields b = -9/2.
Therefore, The equation in slope-intercept form is y = (-2/5)x - 9/2.

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Answer:

1) Place value is hundreds; The value is 600

2) Place value is thousands; The value is 6 000

3) Place value is tens; The value is 60

4) Place value is millions; The value is 6 000 000

5) Place value is hundreds; The value is 600

Step-by-step explanation:

In the number 1 234 567,

Let us solve the question

1)

∵ The number is 545 674

∵ The digit 6 is in the hundreds place

∴ Place value is hundreds

∴ The value is 600

2)

∵ The number is 4 306 789

∵ The digit 6 is in the thousands place

∴ Place value is thousands

∴ The value is 6 000

3)

∵ The number is 457 567

∵ The digit 6 is in the tens place

∴ Place value is tens

∴ The value is 60

4)

∵ The number is 6 154 298

∵ The digit 6 is in the millions place

∴ Place value is millions

∴ The value is 6 000 000

5)

∵ The number 625

∵ The digit 6 is in the hundreds place

∴ Place value is hundreds

∴ The value is 600

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

the measurement of angle 2is 108°

Answer:8

Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.

Answer:

0.02

infinete 0.0222222222

Step-by-step explanation:

or 45

Answer:

100cm

Step-by-step explanation:

The relationship between the ratio and the heights is 20. i.e 4 : 5 = 80 : 100

Hope this helps, please tag brainliest.

The height of the taller boy is 100cm.

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Let the height of the taller boy be x cm and smaller boy be y cm.

According to the given question.

The ratio of height of the two boys is 4:5.

Since, it is obvious that 4:5 is the ratio of the height of smaller boy to the taller boy. Because k will be the ratio of proportionality then 4k will given the smaller value and 5k will give the larger value therefore, 4:5 represents the ratio of height of smaller boy to the taller boy.

\(\implies \frac{y}{x} =\frac{4}{5}\)

Also, the height of the shorter boy is 80cm.

Therefore,

\(\frac{80}{x} = \frac{4}{5}\)

\(\implies 80\times 5 = 4\times x\)

\(\implies 400 = 4\times x\)

\(\implies x = \frac{400}{4}\)

\(\implies x = 100cm\)

Hence, the height of the taller boy is 100cm.

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Answer:

9/22

Step-by-step explanation:

3/8 divided by 11/12 can be done easily by converting the question into a multiply question.

Flip the second fraction, and change the division sign to a multiply sign

3/8 ÷ 11/12

3/8 x 12/11

Multiply the numerators and denominators of the two fractions together

3 x 12 = 36 and 8 x 11 = 88

36/88

We can simplify this fraction by dividing the numerator and denominator by 4

36/88 = 9/22

We cannot simplify 9/22 further so this is our answer

It took 20 hours for the 5 feet of snow to accumulate.

Given that,

There was a snowstorm. Three inches of snow was falling each hour. How long will it take for five feet of snow to accumulate if the snow keeps falling How many hours are there in a day?

We want to know how long it will take for 5 feet of snow to accumulate in this situation when snow was falling at a pace of 3 inches per hour.

since 12 inches make one foot 5 feet = 5 × 12=60 inches As a result,

the division of the time will be as follows:= 60 / 3

= 2020 hours are required.

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