An 18-foot ladder reaches the top of
a building when placed at an angle of
45° with the horizontal. What is the
approximate height of the building?

Answer:

70

Step-by-step explanation:

The explanation is in the picture

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Answer:

The length of the BM is 6 unit.

Step-by-step explanation:

Given : M is the centroid of the triangle.  CM=7, PM=10, & BQ=18

To find : The value of BM ?

Solution :

Refer the attached figure below.

The centroid of a triangle is the point of intersection of its medians.

M is the centroid and the centroid divide the line in 1:2 ratio.

So, M divide BQ in 1:2 ratio and the total length of BQ is 18.

BM is one third of 18.

i.e. [tex]BM=\frac{18}{3}[/tex]

[tex]BM=6[/tex]

Therefore, the length of the BM is 6 unit.

Answer: BM=6

Step-by-step explanation:

Answer:

79/9 * pi

Step-by-step explanation:

First find the circumference of the entire circle

C = 2 pi r

C = 2* pi* 5

C = 10 pi

The degree of MPN is 360 - 44 = 316

The fraction of the circle is 316/360 =79/90

Multiply that by the total circumference

79/90 * 10 pi

79/9 * pi

Answer:

s = 11π/9 units

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

Here the central angle is given as 44° and must be converted to radians:

44°       π

------ * ----- = 11π/45 radians

  1       180°

The length of arc MAN (not MPN) is    s = (5 units)(11π/45 radians), or

s = 11π/9 units

Answer: its B

Step-by-step explanation:

You have to subtract 100 and 35. You get 65. Its also a experimental probability.

B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.

The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,

Z-score = X-μ / σ,

X = observed value, μ = mean and σ = standard deviation

a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-

Z-score = X-μ / σ

Z-score = 144-128 / 34 = 0.47

b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-

Z-score = X-μ / σ

Z-score = 90-86 / 18 = 0.22

c) A score of 18 on a test with a mean of 15 and a standard deviation of 5​ :-

Z-score = X-μ / σ

Z-score = 18-15 / 5 = 0.6

Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

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527.79

there is no because just round and try this I think it might work i dont know

Answer:

see below

Step-by-step explanation:

1.  profit of 5 means a gain of 5   +5

2 depth of 8ft means down 8     -8

3 increase of 8 degrees means a gain of 8  +8

4 loss of 5 dollars means  negative    -5

5 height of 4 ft means we go up   +4

Answer:

True

Step-by-step explanation:

Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.

Hope this helps!

Answer:

True

Step-by-step explanation:

Supplementary angles add up to 180

All angles in a square are 90.

Opposite angles add up to 180°

The solution to 4.8 divided by 10,000 is 0.00048.

In Mathematics and Euclidean Geometry, an expression refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression;

4.8 ÷ 10,000

By rewriting in scientific notation form, we have:

[tex]4.8 \div 10^4[/tex]

By evaluating based on the exponent of 4, we have;

[tex]4.8 \times \frac{1}{10^4} \\\\4.8 \times 10^{-4}[/tex]

By rewriting as a decimal, we have:

0.00048.

Answer:

reflection

Step-by-step explanation:

skraight up homie.

The type of transformation would move figure 1 onto figure 2 is Dilation.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

As, from the figures

Figures 1 and 2 can be properly observed to reveal that they have similar shapes to one another.

Accordingly, figure 1 is a bigger version of figure 2, and vice versa.

As a result, dilation and specifically enlargement is the transformation employed to convert figure 2 to figure 1.

Hence, the transformation is Dilation.

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Answer:

4c=4 c=3/4

Step-by-step explanation:

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.

To solve this, we can set up two equations based on the number of coins and their total value.

Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:

d + q = 15

The second equation is based on the total value of the coins:

0.10d + 0.25q = 2.85

To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:

d + 2.5q = 28.5

Subtracting the first equation from this results in:

1.5q = 13.5

Dividing by 1.5 gives us the number of quarters:

q = 9

Substituting q = 9 into the first equation gives us the number of dimes:

d + 9 = 15

d = 6

Therefore, there are 6 dimes and 9 quarters in the cup.

Step-by-step explanation:

To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8

Answer:

Step-by-step explanation:

[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]

If two fractions have same denominator, add the numerator and write the common denominator.

Answer:

third graph, see attached in case the order changes

Step-by-step explanation:

g(x) = { x+4, -5<=x<=-1

            2-x, -1<=x<=5

The graph will change at -1, so we can eliminate the first graph

It changes completely so we can eliminate the second graph

From -5 to -1 the slope is positive 1 so it will increase from left to right

The last graph decreases, so it has a negative slope at -5.  We can eliminate the last graph

That leaves us the third graph

g(x) = x+4, -5《x《-1

At x = -5, g(x) = -1

At x = -1, g(x) = 3

g(x) = 2-x, -1《x《5

At x = -1, g(x) = 3

At x = 5, g(x) = -3

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]

By inserting the values in the formula, we get

[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]

[tex]c^{2} = 16 + 36 + 12[/tex]

[tex]c^{2} = 64[/tex]

[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]

c = 8.

Therefore, the length of side c would be 8.

The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.

To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]

Substitute the given values:

[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]

[tex]\[ c^2 = 16 + 36 + 12 \][/tex]

[tex]\[ c^2 = 64 \][/tex]

Now, take the square root of both sides to find [tex]\( c \):[/tex]

[tex]\[ c = \sqrt{64} \][/tex]

[tex]\[ c = 8 \][/tex]

Therefore, the length of side [tex]\( c \)[/tex] is 8.

Answer:

2

Step-by-step explanation:

3-(4-3)=2

Answer:

3x³ + 12x

Step-by-step explanation:

Given

3x(x² + 4) ← multiply each term in the parenthesis by 3x

= 3x³ + 12x

Answer:

3x^3 +12x

Step-by-step explanation:

3x^3 +12x

Answer:

0.625

Explanation:

The image below was not posted for the but is needed to anser the question.

Further Explanation:

Mohamed carried out 24 trials of a simulation

Therefore, Total frequencies = 24

To get number of frequency greater than 3 we have to use the result in the result in the graph to obtain the estimate. Look at the graph below, when you count the dots that are on number of boxes purchased greater than 3, you will get 15.

Therefore, Number of frequency greater than 3 = 15

P(more than 3 boxes) = 15/24 = 0.625

Answer:

j = 12

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable.

Answer:

y = 2x + 3

Step-by-step explanation:

its quizzizz you need fast

Initially, both salary options provide the same increase, but after two years Option 1 becomes more beneficial due to compounding. After 10 years, the 5% annual increase of Option 1 provides a higher salary than the flat rate increase of Option 2.

The salary options present themselves differently over time. Initially, Option 2, the guaranteed increase of $1,000 each year, is more beneficial. In the first year, a 5% increase on a $20,000 salary (Option 1) is only $1,000 - the same as Option 2. However, in the second year, the 5% increase is applied to the new salary of $21,000 (in Option 1), which gives an increase of $1,050 - thus, it surpasses Option 2.

After 10 years, Option 1 will be more beneficial. The reason lies in the principles of compounding; each year, the 5% increase is applied to the increased salary. Thus, in 10 years' time, the amount gained annually in Option 1 significantly surpasses the static $1,000 per year increase of Option 2.

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Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.

Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.

Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.

Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

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Answer:

Step-by-step explanation:

y = x + 2  -------------(i)

y = -3x ----------------(ii)

substitute y = -3x i equation (i)

-3x = x + 2

-3x -x = 2

-4x = 2

x = 2/-4

x = -1/2

Substitute x = -1/2 in (ii)

y = -3 * -1/2

y = 3/2

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

Answer:

35/36

Step-by-step explanation:

The least common denominator for both 12 and 9 is 36.

5        3 = 15

—  X         —

12        3 = 36

5      4 = 20

–   X

9     4 = 36

15+20 = 35

so, 35/36

Hope this help, have a great day, and Stay Safe.

:)

Answer:

9/41

Step-by-step explanation:

Cosine = adjacent/hypotenuse

The value of the ratio which represents the cosine of ∠G is, cos G = 40/41

We have to give that;

In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 40/41

Therefore, the value of ratio which represents the cosine of ∠G is,

⇒ cos G = 40/41

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The exact solution of the equation graphed is i option D

(-1 1/5, 4 5/6)

How to find the solution

The solution of linear equations grapes is the point of intersection of the two straight lines

This point is traced as follows

Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice

Answer:

Only 4 out of 52 cards are 6.

4/52 = 1/13

Probability is 4/13

Answer:

4/52 or 1/13

Step-by-step explanation:

There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13

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To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.

Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.

For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).

Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.

Applying this to the given area, a = √48 miles.

However, please note that this formula is for a square.

Other polygons have different formulas for calculating such dimensions.

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Look at the attached picture⤴

Hope it will help u..

Answer: no solution

Step-by-step explanation: