How much wood will Moritz need to create his ramp?
Moritz is creating a wooden ramp with the given
dimensions. The ramp will not need a bottom face.
ft2
5 ft
3 ft
4 ft
6 ft
5 ft
6 ft
3 ft
4 ft​

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan x = 8/10

taking the inverse tan of each side

x = tan ^-1 (8/10)

x=38.65980825

To the nearest tenth

x = 38.7

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

may its 3+4+5+6+65+67+79+7+=728383848

I don't know

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you have choices please give then. I'm guessing at what the answer might be.

an = a_n-1 + 1/2 a_n-1

an = 3/2 a_n-1

Let's try it out.

take 3/2 of 6.75       Multiply by 3 first

(3 * 6.75 ) / 2

20.25 / 2

10.125 which is what happens.

Answer:

4.66 x 10^9

Step-by-step explanation:

The performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

A computer can perform 4.66 x 10⁸ calculations per second,

As we know,

1 minute = 60 seconds

1 second = 1/60 minutes

The performance of the computer in one minute = 4.66 x 10⁸(1/(1/60))

The performance of the computer in one minute = 4.66x60x 10⁸

The performance of the computer in one minute = 279.6x10⁸

= 2.70x10¹⁰ per minute

Thus, the performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.

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Answer:

5

Step-by-step explanation:

AB as the opposite side of the triangle

BC as the adjacent of the triangle.

sin30°= AB/10

AB = 10sin(30°)

AB = 5

When given the base of and height of a triangle, you can use this formula:

\(area = \frac{1}{2} bh\)

Plug in the known values:

\(area = \frac{1}{2} (18)(6)\)

Solve:

\(area = \frac{1}{2} \times 108\)

\(area = 54\)

Add units:

\(area = 54cm^{2} \)

Answer:

Step-by-step explanation:

Based on the information given, the following journal entries can be prepared:

To record the earnings of employees:

Date: December 31, 2013

Accounts Debit/Credit:

Salary Expense Dr. Br.25,000

Salary Payable Cr. Br.25,000

To record the utility bill received:

Date: December 31, 2013

Accounts Debit/Credit:

Utility Expense Dr. Br.4,000

Accounts Payable Cr. Br.4,000

Note that the utility expense is recorded in the period when it was incurred, which is December 2013, even though it will be paid in January 2014.

The above entries can be reversed in January 2014 when the payments are made to the employees and utility company, respectively. The reversal entries will be:

To reverse the entry for employee earnings:

Date: January 7, 2014

Accounts Debit/Credit:

Salary Payable Dr. Br.25,000

Cash Cr. Br.25,000

To reverse the entry for utility expense:

Date: January 7, 2014

Accounts Debit/Credit:

Accounts Payable Dr. Br.4,000

Cash Cr. Br.4,000

The above entries will ensure that the expenses are recorded in the correct period and the payments are properly accounted for.

Step-by-step explanation:

A= $1250

Converting R percent to R a decimal

The expression 2 - 5(x - 1) is a linear expression

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

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

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Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet

We have to find the perimeter of an NCAA court and new court in the school.

Perimeter of NCAA court=\(2(l+b)\)

Perimeter of NCAA court=\(2(94+50)\)feet

Perimeter of NCAA court=288 feet

When two rectangles are similar then  the ration of their   corresponding sides are equal.

Using the  property

\(\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}\)

\(\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}\)

Perimeter of new court=\(\frac{288\times 45}{50}\) feet

Perimeter of new court=259.2 feet

The perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

Given to us,

For NCAA basketball court,

Length, \(\bold {L_{NB}}\) = 94 feet,

Width, \(\bold {W_{NB}}\) = 50 feet,

For School basketball court,

Width, \(\bold {w_{school}}\) = 45 feet,

As discussed in the question, school basketball court will be similar to an NCAA basketball court. Thus, they will be in ratio,

\(\bold {\dfrac{L_{NB}}{W_{NB}} = \dfrac{l_{school}}{w_{school}}}\)

Substituting the value,

\(\bold {\dfrac{94}{50} = \dfrac{l_{school}}{45}}\)

\(\bold{ l_{school} = \dfrac{94\times 45}{50}}\)

\(\bold{ l_{school} = 84.6 }\)

We know that, perimeter of rectangular = 2(length+width),

\(\begin{aligned}Perimeter_{NB}&= 2(length+width)\\&= 2(94+50)\\&= 288 \end{aligned}\)

\(\bold{\begin{aligned}Perimeter_{school}&= 2(length+width)\\&= 2(84.6+45)\\&= 259.2\end{aligned}}\)

Hence, the perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

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The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

\(c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}\)

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The length of the sidelink b using the cosine rule can be written as,

\(b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}\)

Hence, the correct option is B.

The complete question is:

Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?

Options are given in the image below.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

The function y = (e⁻⁽ˣ⁺²⁾) / x + 2  increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but  concave downwards along (-∞, 1) ∪ (1 ,∞)

An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.

The function given;

y = (e⁻⁽ˣ⁺²⁾) / x + 2

The extrema and intervals of increase or decrease of this function are

(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)

2. The inflection points and intervals of concavity and convexity of the function

y = 2x - 1 / (x - 1)² are

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

ST = 4

Step-by-step explanation:

Answer: ST=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation:

Answer:

Simplify the expression:

Exact form: -31/9

Decimal Form: -3.4

Mixed Number Form: -3 4/9

Answer:

-2 8/9

Step-by-step explanation:

im not a 100% sure but this is what i got

Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

12

Step-by-step explanation:

pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer

Answer:

Reduced fraction: 6/5

Step-by-step explanation:

3/5 / 1/2 = 1 and 1/5

3/5 / 1/2 = 3/5 x 2/1

Reduced fraction: 6/5

The election poll indicates a close race between Candidate Smith and Candidate Jones, with a margin of error of 3 percent.

Given that,

Election poll of 1,000 people conducted

48 percent of voters favor Candidate Smith

50 percent of voters favor Candidate Jones

Margin of error is 3 percent

Based on the election poll,

We can conclude that there is a close race between Candidate Smith and Candidate Jones.

With Candidate Smith at 48 percent and Candidate Jones at 50 percent, it suggests a tight competition.

However, it's important to consider the margin of error of 3 percent.

This means that the actual support for each candidate could vary within this range.

Therefore, while this poll provides valuable insights, it is not definitive and other factors should also be considered.

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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