10,295 - 3,429 = N
N = ?

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

18:16, 27:24, 36:32, or 45:40

Step-by-step explanation:

hope this helps u

Answer:

Approximately 189.5075 or 189.51

↓

15.47x

15.47(12.25)

189.5075

Answer:

Shella earned $189.51

Step-by-step explanation:

Proportion:

15.47 = x/12.25

x = 15.47(12.25)

x = $189.51

The LCM of 3y - 3x and \(y^2 - x^2\) is (y - x)(y + x), which corresponds to option (c). Therefore, the correct answer is option (c) - (x - y)(y + x).

To find the LCM (Least Common Multiple) of the given expressions, we need to factorize each expression and identify the common factors and unique factors.

The expression 3y - 3x can be factored as 3(y - x), where (y - x) is a common factor.

The expression \(y^2 - x^2\) is a difference of squares and can be factored as (y - x)(y + x), where (y - x) and (y + x) are factors.

To determine the LCM, we consider the common factors and the unique factors. In this case, (y - x) is a common factor, and (y + x) is a unique factor.

Therefore, the LCM of 3y - 3x and \(y^2 - x^2\) is (y - x)(y + x). This option corresponds to choice (c) - (x - y)(y + x).

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Answer:

$147

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

To be divisible by 5, the last digit needs to be 5 or 0.

To be divisible by 4 as well, your number will need to end with 20, 40, 60, 80, or 00.

To be divisible by 9, the digits need to add up to 9, 18, 27, 36, etc.

So, ending with 20, 6120 works, as does 5220, 4320, 3420, 2520, and 1620.

If we move the ending with 40, 1440 works, as does 2340, 3240, 4140, 5940, and 6840.

4500, 1000, and 1005

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

A number is a perfect square if the following property is satisfied:

a = b², where is a natural number.

Please notice that b can be either a prime number or a product of prime numbers.

Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of prime numbers:

35280 = 2⁴ × 3² × 5 × 7²

35280 = (2²)² × 3² × 5 × 7²

35280 = 4² × 3² × 5 × 7²

Then, we must add a 5 to find a product that is a perfect square:

4² × 3² × 5² × 7² = 176400

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

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Billy has 30,000 candy bars and his five friends have 30,000 Candy bars combined, then altogether they have 15,000,000,000,000,000,030,000 candy bars.

There is a discrepancy in the information provided in the problem statement. It states that Billy has 30,000 candy bars, but then goes on to say that his friends have 15 million thousand billion gazillion candy bars. This makes it unclear what the actual total number of candy bars is.

Assuming that Billy's 5 friends also have a total of 30,000 candy bars, we can calculate the total number of candy bars altogether by adding up the number of candy bars each person has:

15 million thousand billion gazillion can be simplified to 15,000,000,000,000,000,000,000. Therefore, the total number of candy bars is: Billy's candy bars (30,000) + Friends' candy bars (15,000,000,000,000,000,000,000) Total = 30,000 + 15,000,000,000,000,000,000,000

Therefore, if Billy has 30,000 candy bars and his five friends have 30,000 candy bars combined, then altogether they have 15,000,000,000,000,000,030,000 candy bars.

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Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

Answer:

Step-by-step explanation:

\(\sqrt[3]{\frac{0.008}{0.125} }\\ =\sqrt[3]{\frac{8}{125} }\\ = \frac{2}{5}\)

Answer:

15% if I remember correctly

Answer:

5.26 , decrease

Step-by-step explanation:

950-900=50

changed÷original×100

50÷950×100

≈5.26(Round to the nearest hundredth place)

Given:

During a promotion a bag of sweets contain 20% extra free.

Sweets in the bag during the promotion = 24

To find:

The number of sweets are there normally.

Solution:

Let x be the number of sweets are there normally.

Then, number of sweets during the promotion is 20% more than x.

\(=x+\dfrac{20}{100}\times x\)

\(=x+\dfrac{1}{5}x\)

\(=\dfrac{5x+x}{5}\)

\(=\dfrac{6x}{5}\)

Sweets in the bag during the promotion = 24

\(\dfrac{6x}{5}=24\)

Multiply both sides by 5.

\(6x=120\)

Divide both sides by 6.

\(x=20\)

Therefore, normally there are 20 number of sweets.

Answer:

The midpoint is ( 1,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -4+6)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -4+14)/2 = 10/2 =5

The midpoint is ( 1,5)

Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

If c=2 than x=5 because 2x5=10 and 10-7=3 and 3x3=9

Step-by-step explanation:

The length of the radius of the sphere is 15 in.

It is a three-dimensional figure and has a diameter and a radius and the volume of a sphere is 4/3πr³.

We have,

Volume of the sphere = 14130 in³

So,

4/3πr³ = 14130 _____(1)

Solve for r.

4/3 x 3.14 x r³ = 14130

keep r on one side and the rest on the other side.

r³ = 14130 x 3 / 4 x 3.14

Cube root on both sides.

r³ = 3375

∛r³ = ∛3375

[ 15 x 15 x 15 = 3375 ]

So,

r = 15

Thus,

The radius of the sphere is 15 in.

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Answer:

Step-by-step explanation:

Answer:

11 7/12

Step-by-step explanation:

5 1/3 + 6 1/4 = 11 7/12

Answer:

610 feet

Step-by-step explanation:

From the question :

1 scarf = 2.5 yards of yarn

84 scarves = x yards

Cross Multiply

1 scarf × x yards = 84 × 2.5 yards

x yards = 210 yards

Hence, 84 scarves require 210 yards

Converting yards to feet

1 yard = 3 feet

210 yards = x feet

x feet × 1 yard = 210 yards × 3 feet

x feet = 210 yards × 3 feet/1 yards

x feet = 610 feet

Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

\(\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

First we have to add left hand side matrix.

\(\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to add left hand side terms.

\(\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

\(\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to equating left hand side matrix to right hand matrix, we get:

\(\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4\)

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

Answer: 7/11

Step-by-step explanation:

12/22 +1/11  = 12/22 + 2/22 (make the denominator the same number, in this case the lowest common multiple of 11 and 22, which is 22)

12/22 + 2/22 = 14/22

14/22 = 7/11  (divide both the numerator and denominator by 2)

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

\(11\dfrac{3}{5}$ miles\)

Step-by-step explanation:

Miguel ran \(2\dfrac{9}{10}\) miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

\(=5 X 2\dfrac{9}{10}\)

\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)

Difference in Number of Miles Run

\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)

Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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The chart should be completed as follows;

x           \(f(x) = 1.7^x\)               function (x, f(x))               Inverse (f(x), x)

0               1                             (0, 1)                                 (1, 0)

1                1.7                          (1, 1.7)                               (1.7, 1)

-1               0.6                         (-1, 0.6)                            (0.6, -1)

2                2.9                          (2, 2.9)                           (2.9, 2)

3                4.9                          (3, 4.9)                            (4.9, 3)

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the given exponential function \(f(x) = 1.7^x\), we would determine the value of f(x) by substituting each of the x-values as follows;

x = 1

\(f(x) = 1.7^1\)

f(x) = 1.7

When x = -1, we have:

\(f(x) = 1.7^{-1}\)

f(x) = 0.6

When x = 2, we have:

\(f(x) = 1.7^{2}\)

f(x) = 2.9

When x = 3, we have:

\(f(x) = 1.7^{3}\)

f(x) = 4.9

In conclusion, the inverse of this exponential function would be determined by interchanging (swapping) the x-value (x) and the y-value f(x) as shown in the chart above.

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GL is equal to √25 + L2, or √5 in its simplest radical form. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse.

Given:

GL = ?

m∠KLH = 90°

KH = 5

We can use the Pythagorean Theorem to solve for GL.

GL2 = K2 + L2

GL2 = 52 + L2

GL2 = 25 + L2

Therefore, GL = √25 + L2 = √5.

Given GL, m∠KLH, and KH, we can use the Pythagorean Theorem to solve for GL. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can calculate the square of GL by taking the square of KH and adding it to the square of L, which is unknown. We square 5 and get 25, then we add L2 to get 25 + L2. We can then take the square root of this to get GL. Therefore, GL is equal to √25 + L2, or √5 in its simplest radical form.

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