Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?

Answer: 1:2

Step-by-step explanation:

Well, if you're asking for the ratio, it is 1:2

For every 1 notebook bought, there would be 2 free pens.

Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.

Answer:

  68 coins

Step-by-step explanation:

We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.

__

Since there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...

  n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves

The value of the coins is ...

  0.05n +0.10n +0.25n +0.50n = 15.30

The second equation lets us find the value of n:

  0.90n = 15.30

  n = 17 . . . . . . . . divide by 0.90

Then the number of coins in all is ...

  4n = N

 4(17) = N = 68

Carmela had 68 coins in all.

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

The 3 steps to solve the algebra equation have each sub step as explained and written below.

We are given the algebraic equation;

2x + 5 = 4x - 1

Step 1; After adding 1 to both sides, we have;

2x + 5 + 1 = 4x - 1 + 1

2x + 6 = 4x

Step 2; We subtract 3x from both sides to get;

2x - 2x + 6 = 4x - 2x

2x = 6

Step 3; Divide both sides by 3 to get;

2x/2 = 6/2

x = 3

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Answer:

Simplifying -16t2 + 48t + 160 = 0

Reorder the terms: 160 + 48t + -16t2 = 0

Solving 160 + 48t + -16t2 = 0 Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'. 16(10 + 3t + -1t2) = 0

Factor a trinomial. 16((5 + -1t)(2 + t)) = 0 Ignore the factor 16.

hope it helps.

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

or

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]

The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The proof will be given as:-

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]

Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

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The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]

then,

BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]

BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]

Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

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Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

[tex] \frac{ - 6 + 6)}{2} = 0[/tex]

[tex] \frac{0 + 0}{2} = 0[/tex]

So our vertex is (0,0).

So our equation become

[tex] {y}^{2} = 4px[/tex]

The distance from the focus and directrix is 6.

So p=6.

[tex] {y}^{2} = 24x[/tex]

So p is 6.

Since p is 6,

[tex] \frac{ {y}^{2} }{24} = x[/tex]

The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.

Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

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Answer: Both:

The linear pair theorem cannot be used to state ∠XMN is complementary to ∠NMY.

The linear pair theorem cannot be used to state ∠AOP is complementary to ∠POB.

Step-by-step explanation:

Edmentum/Plato

Answer:

C

Step-by-step explanation:

SAS axiom

SAS axiom

SAS axiomSAS axiom

SAS axiom

Answer:

4.4

Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40

Answer:

1.00 + [(n - 1) × 0.20]

or

0.80 + [n × 0.20]

Step-by-step explanation:

week 1: 1.00

week 2: 1.20

week 3: 1.40

we could rewrite this as:

week 1:  1.00 + [0 × 0.20]

week 2: 1.00 + [1 × 0.20]

week 3: 1.00 + [2 × 0.20]

we can write this overall as:

week __ : 1.00 + [x × 0.20]

> x being the amount of weeks that have passed since week 1

but, we need to express this as in terms of nth, so, we need to figure out how the week is related to the x value

each week, we subtract 1 from the week number [to account for week 1]

so, we can write this as: 1.00 + [(n - 1) × 0.20]

or, we can backtrack from the first week, and start our counting at 0.80:

0.80 + [n × 0.20]

we can test this out:

(week 1)

1.00 + [(n - 1) × 0.20]

1.00 + [(1 - 1) × 0.20]

1.00 + [0 × 0.20]

1.00

or...

(week 1)

0.80 + [n × 0.20]

0.80 + [1 × 0.20]

0.80 + 0.20

= 1.00

So, nth week should be expressed as either:

1.00 + [(n - 1) × 0.20] or

0.80 + [n × 0.20]

(the second one is a little bit more simplified, but it depends on how you're supposed to write it)

hope this helps!!

The value of a is 1/64.

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

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f(p) = 3p - 2

f(2) = 3(2) - 2

f(2) = 6 - 2

f(2) = 4

Therefore, the answer is 4, so option C :)

Answer:

x=(y-3)/4

Step-by-step explanation:

y=4x+3

y-3=4x

x=(y-3)/4

Answer:

Let's solve your inequality step-by-step.

−4x+7>x−13

Step 1: Subtract x from both sides.

−4x+7−x>x−13−x

−5x+7>−13

Step 2: Subtract 7 from both sides.

−5x+7−7>−13−7

−5x>−20

Step 3: Divide both sides by -5.

−5x/−5>−20/−5

x<4

Answer:

x<4

IMAGINE AN ARROW ABOVE THE NUMBERS

⇔

−7−6−5−4−3−2−1 0 1 2 3 4 5 6 7

4 is where the line is circled and the arrow is facing left

←Ф

like that

Answer:

x<4

Step-by-step explanation:

So you will put an open circle on positive 4 and a ray going to the left of the graph.

The percentage of men is more than 72 inches tall will be 0.15866.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.

Then the percentage of men are more than 72 inches tall will be

z = (72 – 70) / 2

z = 1

The percentage of men is more than 72 inches tall will be

P(x > 72) = P(z > 1)

P(x > 72) = 1 – P(x < 72)

P(x > 72) = 1 – 0.84134

P(x > 72) = 0.15866

Thun, the percentage of men are more than 72 inches tall will be 0.15866.

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Answer:

888

Step-by-step explanation:

Sahil chooses a number, [We'll call it x]

divides it by 8 ,   [x/8]

adds 8 to the answer.  [(x/8) + 8]

Then multiples the answer with 8 .  [((x/8) + 8)*8]

He obtains the result as 952 .   [((x/8) + 8)*8 = 952]

The number he chooses in the beginning was

((x/8) + 8)*8 = 952

x + 64 = 952

x = 888

CHECK:

Does (888/8 + 8)*8 = 952?

(119)*8 = 952?   YES

The number is 888

Semiperimeter is used to find the area of various shapes including the equilateral triangle (False).

Semiperimeter is a term used in geometry to refer to half the perimeter of a polygon. It is generally used in formulas for triangles.

However, it is also part of calculations related to other geometric shapes. According to the above, it can be inferred that the semiperimeter can be used to find the area of various geometric figures.

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Answer:

(-3,5) (-3,3) (-8,3)

Step-by-step explanation:

Answer:

(-3,5) , (-3,3) , (-8,3)

Step-by-step explanation:

bye, bye!!

Answer:

Groceries Galore

Step-by-step explanation:

1) Find the value of 1 egg for each shop.

Max's Market:

2.04 ÷ 6

= £0.34

Groceries Galore:

2.64 ÷ 8

= £0.33

Fancy Foodstuffs:

4.08 ÷ 12

= £0.34

Therefore, Groceries Galore's price per egg is cheaper.

Answer:

Groceries Galore

Step-by-step explanation:

we have to calculate the price of 2 eggs

in each shop apart ,and then we can infer

which shop offers the cheaper price.

…………………………………………………………

• At Max's market :

2 egg costs 2,04÷3 = £0,68

• At Groceries Galore :

2 egg costs 2,64÷4 = £0,66

• At Fancy Foodstuffs :

4,08÷6 = £0,68

………………………………

Conclusion :

Groceries Galore Offers the Lower price.

Note : we can just determine

the price of one egg in each store ,and then compare.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

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The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.

n + q = 65

0.05n + 0.25q = 8.65

From equation (1)

n = 65 - q

substitute n = 65 - q into (2)

0.05n + 0.25q = 8.65

0.05(65 - q) + 0.25q = 8.65

3.25 - 0.05q + 0.25q = 8.65

- 0.05q + 0.25q = 8.65 - 3.25

0.20q = 5.40

q = 5.40/0.20

q = 27

Substitute into (1)

n + q = 65

n + 27 = 65

n = 65 - 27

n = 38

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Answer:

Step-by-step explanation:

Based on the graph, the interval will their systolic pressure be lowest is 4pm to 5pm.

The lowest systolic pressure can be seen from 5 and 8 hours after taken the medication.

If we look at the time details then this will fall inbetween the interval of 2pm to 5pm.

According to question, the time range is 4pm to 5pm.

Hence, the interval will their systolic pressure be lowest is 4pm to 5pm.

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Answer:

The answer is B - 12 P.M to 2 P.M

Step-by-step explanation:

Answer:

cost of old motor bike =$5675

he spent on repair =$453

cost that he sold =$7265

profit he made=$7265-$5675+$453

=$7265-$6128

=$1137

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Factors of 15 are 1, 3, 5, 15

Factors or 6 are 1, 2, 3, 6

HCF = 3