What are the values of m and n in each right triangle

Step-by-step explanation:

Given that,

Half of Robert's piece of wire is equal to of Maria's wire i.e.

\(\dfrac{R}{2}=M\) ....(1)

Total length of the wires = 10 feet

ATQ,

\(R+M=10\) ....(2)

Use equation (1) in (2).

\(R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft\)

So,

\(M=\dfrac{6.67}{2}\\\\M=3.33\ ft\)

Hence, this is the required solution.

Answer:

3x + 7

Step-by-step explanation:

combining like terms there is 2x + x = 3x and 5 + 2 = 7

S={2}

1) Since we have 5x +2x +4 = 18, let's solve it step by step

5x +2x +4 = 18 Combine like terms

7x +4 = 18 Subtract 4 from both sides

7x = 14 Divide both sides by 7

x=2

2) So the Solution Set is S={2}

2.75

Step-by-step explanation:

\(\sf\purple{2.75}\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{11}{4} \\ = 2.75\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}\)

Answer:

=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24

Step-by-step explanation:

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

75%

Step-by-step explanation:

75% of possibility to have gold coin

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

the last one it goes in the opposite direction

Step-by-step explanation:

\(\triangle ADB\) is equilateral, so \(m\angle DBA=60^{\circ}\).

Using linear pairs, \(m\angle DBC=120^{\circ}\).

Answer: J (120)

Step-by-step explanation: Since triangle ABD is given to be an equalatiral triangle, we know that every interior angle is 60 degrees. Since line ABC is a straight line we know that if we subtract the lines angle (180) by the interior angle it goes through (60) we get the measure of angle DBC: 120 degrees

Answer:

10.6

Step-by-step explanation:

Answer:

16x+16

Step-by-step explanation:

Perimeter = 2l +2w where l is length and w is width.

2l= 2(8x+3)= 16x+6

2w=2(5)=10

16x+6+10=16x+16

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

Answer:

Step-by-step explanation:

(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl

:::::

(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

Step-by-step Suppose Emily randomly turns on 2 of the 7 computers. Which expression could you use to determine the probability that both computers will be infected with a virus?

The Fraction that represents the probability is: P = C(m, 2) / C(n, 2)

The probability that Emily will randomly select the 2 computers that have viruses, we need more information. Specifically, we need to know the total number of computers and the number of computers that have viruses. Once we have this information, we can calculate the probability using the concept of combinations.

Let's assume there are a total of n computers and m computers that have viruses. The probability of randomly selecting the 2 computers that have viruses can be calculated as follows:

The numerator of the fraction represents the number of favorable outcomes, which is the number of ways to choose 2 computers from the m computers that have viruses. This can be calculated using the combination formula:

C(m, 2) = m! / (2! * (m - 2)!)

The denominator of the fraction represents the total number of possible outcomes, which is the number of ways to choose 2 computers from the total n computers. This can also be calculated using the combination formula:

C(n, 2) = n! / (2! * (n - 2)!)

Therefore, the fraction that represents the probability is: P = C(m, 2) / C(n, 2)

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Answer:

Length of the side of a square is 18 sqrt(2)

Step-by-step explanation:

a and b are the sides of square and c is the diagonal.

a^2+b^2=c^2

a^2+b^2= 36^2

As all sides are equal we can take b=a

2a^2=36^2

a^2= (36×36)/2

a^2 = 18×36 = 2×9×9×4

Taking squareroot on both sides we get

a= sqrt(2×9×9×2×2)

a=18 sqrt(2)

Answer:

-1805.96

Step-by-step explanation:

I think that is the answer

Answer:

-9805.96 this is the answer

Answer:

17.

Step-by-step explanation:

The differences form an arithmetic sequence 3, 5, 7, 9,,11.

The missing number  is 10 + 7 = 17.

This is a quadratic sequence.

The nth term = n^2 + 1.

Thus the 4th term = 4^2 + 1 = 17.

Answer:

4 h 45 min

Step-by-step explanation:

Answer:4 h 45 min

Step-by-step explanation:

Answer:

It is "The y-intercept is one space higher."

Step-by-step explanation:

Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.

Answer:

i say the answer is either 1/2 because true or false or 5/10 because you have a 50/50 chance but im more on the 1/2

Step-by-step explanation:

mark  brainlest please

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

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Answer:

gcf is 4 look at file I loaded for the work :)

Answer:

It's D - There is a constant third difference of 24.

Step-by-step explanation:

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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