How many triangles are there that satisfy the conditions a = 13, b = 6, α = 6°? 1) 12) 03) 24) impossible to determine

Answer:

Step-by-step explanation:

so brh

The monthly payment of $310 compounded monthly at 8% and 3% will have a principal of $15,288.71 and $17,252.23 respectively

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

In order to solve this question, we can use the formula of monthly payment we can use a simple formula for that

\(A = p \frac{r(1+r)^n}{(1+r)^n-1}\)

In the first scenario, we can find the monthly payment at 8%

Substituting the values into the equation and solve

The principal at 8% is $152888.71 and the principal at 3% is at $17252.23

Learn more on monthly payment here;

https://brainly.com/question/25599836

#SPJ1

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

To know more about simple interest, visit:

https://brainly.com/question/3942189

#SPJ1

Answer:

25 lawns

Step-by-step explanation:

To do this:

first create a ratio

5 L: 8 H

? L : 40 H

Then solve:

you can do this two ways

1. cross multiply

40*5=8?

200/8 = 25

2. divide

40/8 = 5

5*5 = 25

Hope this helps:)

The 20th percentile of the given data set is 22.

The following formula can be used to calculate the 20th percentile of the ordered data set:

(n+1)P = k

where n denotes the number of observations in the data set, P denotes the desired percentile (in decimal form), and k denotes the position of the kth observation corresponding to the desired percentile.

For the given data set, n = 8, P = 0.20, resulting in:

(8 + 1) * 0.20 = 1.6

Because k is not a whole number, we must use interpolation to determine the precise value of the 20th percentile.

This is accomplished by multiplying the decimal portion of k (0.6) by the difference between the first and second observations (24 - 19 = 5), then adding the result to the first observation (19).

0.6 * 5 + 19 = 22

So, the 20th percentile of the given data set is 22.

To learn more about data.

https://brainly.com/question/13650923

#SPJ4

Explanation:

2) A = 2(L + W)

We need to make W the subject of formula.

Expanding the parenthesis:

A = 2L + 2W

subtract 2L from both sides:

A - 2L = 2W

divide both sides by 2:

4) 2x - 3y = 8

We need to make y the subject of formula

To do this, we'll subtract 2x from both sides:

2x - 2x - 3y = 8 - 2x

-3y = 8 - 2x

Divide both sides by -3:

Answer: 17/60 = 0.283333333333

25/60 = 0.416666666667

54/72 = 0.75

31/44 = 0.704545454545

Step-by-step explanation:

Answer:

You need to multiple

Step-by-step explanation:

The answer is 3.

looking at the given equation 3x-3=6.

to find the value of x

let's take 3 to the other side then we will have

3x=6+3

i.e 3x=9

now dividing both sides by 3 we will get

x=3;

so the final value of x is 3.

to find more problems on value of x:

https://brainly.com/question/11874663

Answer:

  (c)

Step-by-step explanation:

You want the graph that has a domain of x ≥ 5.

The domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.

Graph C is like that.

Answer:

40

Step-by-step explanation:

b = base

h = height

Area of triangle = 1/2 * b*h

1/2 * 8 * 10

= 40 units^2

Hope it helps

Answer:

He needs to get up at 6:30 am.

Step-by-step explanation:

The equation is:

R - 8 = 4

So to get R all by itself, you can add+8 to BOTH sides of the equation. This will 'cancel' the -8 that is next to R.

R - 8 + 8 = 4 + 8

-8 + 8 = 0 so let's simplify:

R + 0 = 4 + 8

Simplify a little more:

R = 12

Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.

If the bag contains 60 marbles, the number of red marbles will be:

= 1/5 × 60

= 12 marbles.

The number of white marbles will be:

= 3/10 × 60

= 18 marbles.

The number of blue marbles will be:

= 60 - (12 + 18)

= 60 - 30

= 30 marbles.

Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.

Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.

Learn more about probability on:

https://brainly.com/question/25870256

Answer: The correct answer is A, \((-2)^{2}\).

Step-by-step explanation:

A negative multiplied with another negative is a positive. Squaring is multiplying an integer by itself. Thus, it would look like -2×-2, which is equal to 4. I hope this helps!! :)

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

Learn more about commutative property. on

https://brainly.com/question/778086

#SPJ1

Answer:

35 millimeters

Step-by-step explanation:

1.4 inches * 1millimeters / 0.04inches = 35 millimeters

use this equation:

starting units * desired units / starting units = desired units

♡ The Question ♡      

・1/7 = 90/91 + B

Solve for B!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・1/7 = 90/91 + B

Switch sides!

90/91 + B = 1/7

Subtract 90/91 from both sides!

90/91 + B - 90/91 = 1/7 - 90/91

Simplify!

90/91 + B - 90/91 : B

90/91 + B - 90/91

90/91 - 90/91 = 0

= B

Simplify!

1/7 - 90/91 : -11/13

1/7 - 90/91

= 13/91 - 90/91

Combine the fractions!

= 13 - 90 over 91

Subtract the numbers! : 13 - 90 = -77

= -77/91

Apply the fraction rule! : -a/b = -a/b

= -77/91

Cancel the common factor! : 7

= -11/13

B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

The shear plane angle is approximately 84.3°, and the chip thickness is approximately 15.1 mm.

To determine the shear plane angle and chip thickness in the given scenario, we can use the following formulas:

Shear Plane Angle (α):

tan(α) = tan(β - φ)

where β is the inclination angle of the machined surface (rake angle) and φ is the friction angle.

Chip Thickness (t):

t = tc / cos(α)

where tc is the uncut chip thickness.

Given:

Uncut chip thickness (tc) = 1.5 mm

Chip length (lc) = 40 mm

Length of the specimen (L) = 100 mm

Rake angle (β) = 15°

First, we need to calculate the shear plane angle (α):

tan(α) = tan(β - φ)

Since the friction angle (φ) is not given, we will assume a typical value of 5°.

tan(α) = tan(15° - 5°)

tan(α) = tan(10°)

α ≈ 84.3° (rounded to two decimal places)

Next, we can calculate the chip thickness (t):

t = tc / cos(α)

t = 1.5 mm / cos(84.3°)

t ≈ 15.1 mm (rounded to two decimal places)

Learn more on shear plane angle here;

https://brainly.com/question/14881618

#SPJ1

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

The expression-4 gives the total number of spaces traveled during the 4 turns can be found using integers or its absolute values.

What are integers?

Integers are the collection of negative, positive numbers including zero. The positive integers lie on the right side of the zero on the number line and the negative lie on the left side of zero on number line. The positive numbers are larger than the negative numbers. Also zero is greater than all negative numbers.The absolute value/modulus of any integer is its magnitude without sign. It is the distance of any given integer from zero.

Here the spaces travelled in each turn is given as +7, +2, +5 and -8.

The total sum of the spaces=(+7) + (+2) + (+5) + (-8)

                                             = 7+2+5-8

                                             =6

The expression in option 1: |7 + -2 + 5 + - 8| which is not equal to 6

The expression in option 2: 7 - 2 + 5 - 8 which is not equal to 6

The expression in option 3: |(+7) + (-2) + (+5) + (- 8)| which is not equal to 6

The expression in option 4: |7 | + |-2| + |5| + |- 8| which is equal to 6

∴The correct expression is option-4

To know more about integers, visit:

https://brainly.com/question/929808

#SPJ1

If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

Read more about rate of change at; https://brainly.com/question/20245412

#SPJ1

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

Step-by-step explanation:

A productive approach to identifying a research topic and subsequent research question can involve utilizing multiple sources, including:

Literature review: Reviewing existing research in the field can help identify gaps in knowledge and areas that need further investigation.

Personal interests and experiences: Consider your own experiences, interests, and expertise to identify a topic that you are passionate about and can contribute to.

News articles and current events: Stay up-to-date on current events and identify topics that are relevant and pressing in your field.

Professional associations and organizations: These organizations often have conferences and publications that highlight current research trends and topics.

Government reports and data sources: These sources can provide data and information on a wide range of topics and can serve as a starting point for identifying a research question.

Ultimately, a combination of these sources can be useful in identifying a research topic and subsequent research question. It's important to consider the feasibility, importance, and originality of the research topic, and to choose a topic that you can research thoroughly and effectively.

Answer:

\(3\frac{1}{5}\)brownies per hour

Step-by-step explanation:

     Given parameters:

Number of brownies = \(\frac{4}{5}\) of a dozen

Time taken  = 3hrs

Unknown:

Average baking per hour = ?

Solution:

The average baking per hour;

    This is a rate problem;

     Average baking per hour = \(\frac{number of baking}{time}\)

Number of brownies = \(\frac{4}{5}\) x 12  = \(\frac{48}{5}\)

 Average baking per hour = \(\frac{48}{\frac{5}{3} }\)  

                                            = \(\frac{48}{5} x \frac{1}{3}\)

                                             = \(\frac{16}{5}\)

                                            = 3\(\frac{1}{5}\)brownies per hour

Answer:

1.

The explanatory variable is the level of education.

response variable is Rate of motor vehicle crash deaths

2. b

3. A) Without an experiment, no causal relationship can be made.

Step-by-step explanation:

1.

The explanatory variable is the level of education.

The explanatory variable tells us that more education among people over 25 years, brings about a reduction in motor deaths.

The response variable is the rate of motor vehicle deaths.

This variable actually responds to the changes in the explanatory variable. The rate of motor vehicle deaths could increase or decrease based on the level of education.

2.

They are lurking variables. option B

These variables are not known primarily as explanatory variables here in this relationship but they have the ability to affect the result of the study.

3. We have to carry out an experiment first in order to carry out a causal relationship.

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1