An 8-foot ladder rests against the side of a building. The ladder forms a 43 degrees angle with the ground. How high up the building does the ladder rest. Round to two decimal places.

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

a

Step-by-step explanation:

because if they are 3.00 dollars then you decide that bye 180 to get your answers

Answer:

B

Step-by-step explanation:

because 180 is 15 dozen so 15 times 3 would give you the right answer

Answer:

7,000 Milliliters

Step-by-step explanation:

Answer:

7,000 millimeters

Step-by-step explanation:

1,000 millimeters is equal to 1 liter.

Answer: [tex]\dfrac{53}{16}\ \text{or}\ 3\dfrac{5}{16}[/tex]

Step-by-step explanation:

Given

Length of board is [tex]16\ \frac{3}{4}[/tex]

It is divided into 4 equal pieces i.e. length of each piece is

[tex]\Rightarrow \dfrac{\frac{64+3}{4}}{4}=\dfrac{67}{16}\ \text{in.}[/tex]

If  [tex]\frac{7}{8}[/tex] of an inch is removed from one of the pieces then,

[tex]\Rightarrow \dfrac{67}{16}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{67}{16}-\dfrac{14}{16}=\dfrac{53}{16}\ \text{inch}[/tex]

Answer:

268 units³

Step-by-step explanation:

V = 4/3 (pi)r³

V = 4/3 (3.14) (4³)

V = 4/3 (3.14) (64)

V = 4/3 (200.96)

V = 268

Answer:

55.5

Step-by-step explanation:

Answer:

15 5/8

Step-by-step explanation:

6 1/4 divided by 2/5

convert mixed numbers to improper fraction: 6 1/4 = 25/4

= 25/4 divided by 2/5

= 25/4 times 5/2

= 25 times 5/4 times 2

= 125/4 times 2

= 125/8

= 15 5/8

[tex]15 \frac{5}{8} [/tex] ✅

Step-by-step explanation:

[tex] \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer: They would be A.

Step-by-step explanation: Don't take my word for it 100%

The missing frequencies for G# and D# in the given equal temperament octave is 311.1 and 415.3 respectively. The ratios of frequencies between G# and D# is 1.33.

The equal tempered scale is the common musical scale used at present, used for the tuning of pianos and other instruments of relatively fixed scale. It divides the octave into 12 equal semitones. The ratio between successive notes is constant and it is 1.0595.

With reference to the image attached in the question,

Since we know that ratio between successive notes is 1.0595.

This implies,

[tex]\frac{C\#}{C} = \frac{277.2}{261.6} = 1.0595\\\\[/tex]

Or we can say that, C# = 1.0595C

Similarly,

D# = 1.0595D = 1.0595 * 293.6 = 311.1

G# = 1.0595G = 1.0595 * 392 = 415.3

The ratios of frequencies between G# and D# = [tex]\frac{G\#}{D\#} = \frac{415.3}{311.1} = 1.33 = \frac{4}{3}[/tex]

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Answer:

1. figure b' is similar but not congruent to figure b

2. m<k'=-m<k

3. reflect across the x-axis, rotate 90 degrees counterclockwise about the origin, and then dilate by a scale factor of 4 centered at the origin

4. on reflection, parallel lines are taken to parallel lines, so a'b' will be parallel to c'd'.

------------------------

Step-by-step explanation:

1. it is similar because it has the same number of sides, shape, etc. it is not congruent because the two figures are not the same size

2. because it is rotated and reflected instead of dilated, it will be equal to the original image. but, the original will be negative because it is on the negative half of the plane.

3. the second image becomes positive, so we know it reflects over the x-axis. we can also see that the '-1' turns into a '4', which means that it was dilated by a factor of 4.

4. basically, when you reflect the image, it it just a few points below the original one. because of this, lines a'b' and c'd' will never touch, as they are parallel

Answer: [tex]0.017[/tex]

Step-by-step explanation:

Given

the Probability that a child will born with a certain trait is [tex]\frac{2}{5}[/tex]

So, the probability that child does not possess that certain trait is [tex]\frac{3}{5}[/tex]

The probability that exactly six of their children has that trait is

[tex]\Rightarrow (\dfrac{2}{5})^6\cdot (\dfrac{3}{5})[/tex]

For 7 children it is

[tex]\Rightarrow 7\times (\dfrac{2}{5})^6\cdot (\dfrac{3}{5})\\\\\Rightarrow 0.017[/tex]

Answer:

B

Step-by-step explanation:

f=120p

f=120(16)

f= 1920

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but let me solve a similar question:

Three trains  one eastbound, one westbound, and one northbound  leave a city at the same time. The speed of the northbound train is 20 miles per hour greater than the speed of the eastbound train. After 6 hours, the distance between the westbound train and the eastbound train is 420 miles. Twice the speed of the westbound train is 30 miles per hour more than the speed of the northbound train. Find the speeds of the three trains.

Solution:

Speed is the time rate of change of distance. It is the ratio of distance to time taken. Speed is given by:

Speed = distance / time

Let x represent the speed of the eastbound train, y that of the westbound train and z that of the northbound train. Hence:

z = x + 20          

x - z = -20         (1)

After 6 hours, the distance between the westbound train and the eastbound train is 420 miles. Hence:

6 hours * x + (6 hours * y) = 420

6x + 6y = 420

x + y = 70             (2)

Lastly:

2y = z + 30

2y - z = 30           (3)

Solving equations (1), (2) and (3) simultaneously gives:

x = 30 miles per hour, y = 40 miles per hour, z = 50 miles per hour.

Hence the speed of the eastbound train is 30 miles per hour, speed of the westbound train is 40 miles per hour and the speed of the northbound train is 50 miles per hour.

Answer:

28

Step-by-step explanation:

The answer is 28 because this triangle will add up to 180 degrees and 79 + 73 = 152 and

180 - 152 = 28 so 28 is our missing angle!

Hope this helps you!

Answer:

x = 28

Step-by-step explanation:

180 - 79 = 101

101 - 73 = 28

Answer:

Perpindicular is when two lines cross to form a 90 degree angle

Step-by-step explanation:

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

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Answer:

your picture isnt loading

Step-by-step explanation:

Answer:

i think its 700

Step-by-step explanation:

7%of 2000 is 140 and 140 x 5 is 700

Answer: $700 interest

Note that the formula for simple interest is I=Prt

1. Identify the Principal amount (P), rate (r), and time (t)

Principal amount=$2,000

Rate: 7% (0.07)

Time: 5 years

2. Plug the numbers into the formula; always make sure that the rate is in decimal form and the time is in years.

2,000*0.07*5=700

3. Final answer: $700

Answer:

answer: 208

Hope that helps!

Answer:

Simple random sampling is the most straightforward approach to getting a random sample. It involves picking the desired sample size and selecting observations from a population in such a way that each observation has an equal chance of selection until the desired sample size is achieved.

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

Answer:

60/121

Step-by-step explanation:

There are two outcomes that are included in the event "2 different in color" -- either  Red followed by Blue (RB) or Blue followed by Red (BR).

Probability of RB is [tex]\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}[/tex]  The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.

Probability of BR is [tex]\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}[/tex]

Probability of RB or BR:  add the probabilities to get 60/121.

Answer: 700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

copy and paste

42

Top triangle is 9

the bottom is 15

added together is 24

the whole box is 66

66-24=42

Step-by-step explanation:

the area of shaded part =

(11×6) - (½×5×6)-(½×3×6)

= 66-15-9 = 42 sq. units

Answer:

500 pennies

Step-by-step explanation:

Given that

Carmen saved 592 pennies.

Her sister saved 128 pennies.

Together, they put 250 pennies in wrappers and took them to the bank

We need to find out the total number of pennies Carmen and her sister have left

So,

= 592 pennies + 128 pennies  - 250 pennies

= 470 pennies

= 500 pennies

Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

Answer:

dicailmal 4.6  and ratioal 4:6                dont add this but this will also work 4/6

Step-by-step explanation:

Answer: don’t know the “following probabilities but I have included answers below

Step-by-step explanation:

4 blue + 6 green = 10 total

probability of getting green once and blue next: 6/10*4/9 = 24/90 or about 0.27

probability of green both times: 6/10*6/9 = 36/90 or 0.4

probability of blue first then green next: 4/10*6/9 = same as first answer (about 0.27)

probability of blue both times: 4/10*4/9 = 16/90 or about 0.18

Answer:

Try A.

Step-by-step explanation:

I just took the test and it says that A is the answer.

The graph given is of exponential function f(x) = 3·(1.7)ˣ

An exponential function is a mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is graph, we need to determine its exponential function,

Since, the given graph is of increasing nature.

Therefore, the base of the exponential will be greater than 1.

Also, at x=0 the value of y=3

At x=0, y=3 for option 3 which satisfies the graph.

f(x) = 3·(1.7)ˣ

Hence, the graph given is of exponential function f(x) = 3·(1.7)ˣ

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Answer:

Step-by-step explanation:

f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms

              = 5x**5 + 10x**4 - 25x**3

              = 5x**3(x**2 + 2x - x)