3. sin 0 = opposite/hypotenuse and its reciprocal is csc 0, what is csc 0? A.opposite/hypotenuseB.hypotenuse/oppositeC.adjacent/hypotenuseD.hypotenuse/adjacent

The ladder will be able to reach 140.95ft on the building

Data;

To calculate the height of the building, we have to use trigonometric ratios which is SOHCAHTOA because the angle and the wall of the building forms a right angle triangle

Since we have the value of hypothenuse and angle, we can find the opposite side using the sine ratio

\(sin \theta = \frac{opposite}{hypothenuse}\\ sin 70 = \frac{x}{150} \\x = 150sin70\\x = 140.95ft\)

From the calculations above, the height of the building which the ladder will reach is 140.95 ft.

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Answer:

85cm^3

Step-by-step explanation:

Volume = Base Area * Height

17*5=85

Answer:yes

Step-by-step explanation:yes

Answer:

3/8 = x/75,000

Step-by-step explanation:

We are looking for x, the number of people in a city of 75,000 that use the shampoo.

3 is to 8 as x is to 75,000

3/8 = x/75,000

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

The amount of increase between the original price  $9 billion and current price of $32.347 billion is 23.347 billions dollars

The original price or amount is 9 billion dollars.

The price later changed to $32.347 billion. This means the current price is $32.347 billion.

Therefore, the change or increase in amount can be calculated as follows;

increase = 32.347 billion - 9 billion

Hence,

amount of Increase = 23.347 billions dollars

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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

d(sum of twice a no and two)

Step-by-step explanation:

Answer:

correct answer is B

Step-by-step explanation:

two times the sum of a number and 2:

2(x+2), which is not correct

Step-by-step explanation:

it's answer is I think 5000

Answer:

Step-by-step explanation:

6

Answer:

never to leave the unknown shackspeare

Step-by-step explanation:

it never leaves

or never stays

and never comes back

The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

From the question, we have the following parameters that can be used in our computation:

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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Answer:

The Base is 150 and the Exponent is 4

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

At the null hypothesis, we test if the mean is of at most 3 minutes, that is:

\(H_0: \mu \leq 3\)

At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:

\(H_1: \mu > 3\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

3 is tested at the null hypothesis:

This means that \(\mu = 3\)

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.

This means that \(n = 100, X = 3.1, \sigma = 0.5\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}\)

\(z = 2\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.

the function that models the inverse variation: y = 48/x. This can be solved using the formula of equation.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

It is given that, x and y vary inversely

x - 12 = 0

therefore, x = 12

y - 4 = 0

therefore, y = 4

Equation of inverse variation is: y = c/x

4 = c/12

c = 48

Thus, equation of inverse variation is: y = 48/x

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Answer:

\(92.05^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle Y+m\angle Z=92.05^{\circ}\).

Answer:

A

Step-by-step explanation:

exterior angle = sum of the other two angles

63.25 + 28.8

92.05°

Step-by-step explanation:

Pick any point on the graph below for a solution:

Answer:

103000

Step-by-step explanation:

3.5 × \(10^{4}\) + 6.8 × \(10^{4}\)

Calculate 10 to the power of 4 and get 10000.

3.5 × 10000 + 6.8 × \(10^{4}\)

Multiply 3.5 and 10000 to get 35000.

35000 + 6.8 × \(10^{4}\)

Calculate 10 to the power of 4 and get 10000.

35000 + 68000

Add 35000 and 68000 to get 103000.

103000

Answer:

Couple of choice:

A. If those x's are the multiplication symbol then your answer is 103,000

B. If those x's are variables then you don't have a definite answer.

Step-by-step explanation:

Explanation for A:

We use PEMDAS and start inside the parentheses

We do exponents before multiplication and get 10,000 for 10^4

10,000*3.5= 35,000

10,000*6.8=68,000

35,000+68,000=103,000

Explanation for B:

If the x's are variables then your question is just and expression. Without it being equal to anything, I can't solve for x. Also if the question was asked as, "What is (3.5x10^4)+(6.8x10^4), when x = 5 (or any random number)" I could solve it because I know the value of x being asked. Maybe try posting the question again if this is what you meant

Answer:

The large box contains 18.5 kg of fruit.

The small box contains 6.75 kg of fruit.

Step-by-step explanation:

We know that 3L + 2S = 69 and 5L + 6S = 133.

In order to solve for one variable, we can multiply the first equation by 3 so we can eliminate S.

The new equations are 9L + 6S = 207 and 5L + 6S = 133.

Now, we can subtract the equations from each other to solve for one variable, L.

We now get 4L = 74, and when we divide 4 from both sides, we get L = 18.5. This means that a large box has 18.5 kg of fruit.

Now that we know what the large box contains, we can plug the answer into one of the original equations to solve for S.

We now get 3(18.5) + 2S = 69, which we can solve by distributing to get 55.5 + 2S = 69, subtracting 55.5 from both sides to get 2S = 13.5, and then dividing 2 from both sides to get S = 6.75.

We now know both boxes, with the large containing 18.5 kg and the small containing 6.75 kg.

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

5.29 feet, 2.43 feet, 5.79 feet.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, that are x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

x = 3y - 2.

The length of the third side is 3/4 of the sun of the lengths of the first two sides, hence:

z = 0.75(x + y).

Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet, hence:

x + y + z = 17.5.

3y + 2 + y + 0.75(3y - 2 + y) = 17.5

4y + 0.75(4y - 2) = 15.5.

7y = 17

y = 2.43 feet.

Hence:

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Answer: d(A,B)=2

Step-by-step explanation: After finding the midpoints of both line segments we have to find the distance. to find the distance we use the formula d(A,B)=\(d(A,B)=\sqrt{(xb-xa){2}+(yb-ya){2} }\), We can then substitute in both midpoints in to look like \(d(A,B)=\sqrt{(2-0)^{2} +(4-4)^{2} }\), simplify which then d(A,B)=2.

Using partial quotient, the place value while subtracting is determined by the dividend.

divisor    dividend    quotient  multiplication  subtraction  new dividend

5             1175            200         200 * 5 = 1000        1175 - 1000 = 175

5             175             30            30 * 5 = 150             175 - 150    =  25    

5             25              5              5 * 5 = 25                 25 - 25      = 0

The quotient is then added as

= 200 + 30 + 5

= 235

Assuming the quotient was written 2. While subtracting, the dividend for the first value (1175) is in thousands. placing the the 2 in thousands makes it more than the dividend hence the 2 should be in hundreds

1175 - 2000 incorrect

1175 - 200 correct

for the second stage

175 - 150 correct (since 150 < 175)

last stage

25 - 25

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Answer:

I believe it's a parallelogram.

Step-by-step explanation:

So a parallelogram has opposite sides congruent which when plotting the points opposite sides are the same length which makes it a parallelogram. In addition the opposite sides are parallel also which also justifies how the shape is a parallelogram.

The quadrilateral is a parallelogram because it has two pairs of parallel sides and the opposite sides are equal.

PQ/JK is congruent to PS/JL. Option D is the correct option.

What is the scalene triangle?

A scalene triangle is a triangle with three different side lengths and three different angle measurements. However, the sum of all the interior angles of the scalene triangle is unaffected by the various measurements. Scalene triangles satisfy the angle sum property of triangles because the sum of their three interior angles is always 180 degrees.

Given that △JKL and △PQS are two triangles.

Angle P is congruent to angle J.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

△JKL and △PQS are similar triangles if

1) angle K is congruent to Q

or,

2)  angle L is congruent to S

or,

3) PQ/JK = QS/KL = PS/JL

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Answer: -48 vanadium

Step-by-step explanation: I had this one

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉