A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .

Final answer:

The measure of angle RSM is calculated to be 45 degrees.

Explanation:

The problem involves a triangle RSM where angle SRM is twice the measure of angle RSM, and a point O on side RS such that SO=SM.

Given that the length of the angle bisector of angle RMS equals RO, we seek to determine the measure of angle RSM.

Since the problem is based on the properties of triangles and angle bisectors, and it does not provide enough information to use standard geometric methods, we infer that the triangle RSM must be an isosceles triangle.

This is because SO=SM, which implies that angles RSM and RMS are equal.

Since SRM is twice RSM and the sum of angles in a triangle is 180 degrees, we can set up the equation

2x + x + x = 180,

where x is the measure of angle RSM.

Solving, we get 4x = 180, so x = 45 degrees.

Therefore, the measure of angle RSM is 45 degrees.

Answer:

theyre both b

Step-by-step explanation:

Answer:

P(X >= 86) =  P (Z  >= 1) = 0.1587 from the Z-scores table

Step-by-step explanation:

Hopefully this time I will not make an algebraic mistake.

Ok

so  mean u = 79,  and standard dev = s = 7

We want P(X >= 86)

Standardize:

P ( (X - u)/s  >=  (86 - 79)/7 ) =  P (Z  >= 1) = 0.1587 from the Z-scores table

if it is P(x<=86) the answer is 0.84

Step-by-step explanation:

Answer:

D. obtuse, scalene​

Step-by-step explanation:

The largest angle is 116 degrees which is obtuse ( angle greater than 90 degree), so the triangle is classified as obtuse

All of the sides are different lengths, which is scalene( none of the sides are the same)

Answer: VV

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Explanation:

Refer to the diagram below. The longest side of a triangle is always opposite the largest angle. Angle Q = 80 is the largest angle, so the opposite side RS is the longest side.

Side note: the smallest side is always opposite the smallest angle

Answer:

The answer is B:QR

Answer: the graph is correct.

Step-by-step explanation:

Answer:

dD

Step-by-step explanation:

Answer:

150 in^2

Step-by-step explanation:

1/2*25*12=150

note: the number 20 and 15 doesn't matter as the formula for triangle is 1/2*w*h

but im sorry if it might be incorrect

Answer:

IV

Step-by-step explanation:

Answer:

the correct answer is ll

Step-by-step explanation:

because posative to posotive is section 1 and negative to posotive is section 2 and negativ to negative is 3

Answer:

5 r 13

21 x 5 = 105

118-105=134

5 r 13

Step-by-step explanation:

Answer: 5 Reminder 13

Step-by-step explanation: 118 divided by 21 =5

The roots of the quadratic equation x² - 11x - 121 = 0 are, [11 ± 11(√5)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation x² - 11x - 121 = 0.

Applying Sridhar acharya's formula [- b ± (√b² - 4ac)]/2.

We have, [11 ± (√121 + 484)]/2.

[11 ± (√605)]/2.

[11 ± 11(√5)]/2.

x = (11 + 11√5)/2 or (11 - 11√5)/2.

learn more about quadratic equations here :

https://brainly.com/question/30098550

#SPJ2

Answer:

350

Step-by-step explanation:

divide 100/4= 25

25*3=75 so width = 75 meters

perimeter= 2(l+w)

perimeter= 2(100+75)

perimeter= 2(175)

perimeter= 350

Answer:

IS THIS FOR RSMMM??

Step-by-step explanation:

350

Answer:

1) 1.4%

2) 8.3%

3) 20.8%

Step-by-step explanation:

Alrighty! You are looking at some compound probability problems.

The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.

Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."

1) Flipping head, rolling a 5, and rolling a 2

P(flipping heads) = 1/2

p(rolling a 5) = 1/6

p(rolling a 2) = 1/6

so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%

2) Flipping tails, rolling an odd number, and rolling a 4

p(flipping tails) = 1/2

p(rolling an odd number) = 3/6

p(rolling a 4) = 1/6

so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%

3) Flipping head, not rolling a 2, and rolling an even number

p(flipping heads) = 1/2

p(not rolling a 2) = 5/6

p(rolling and even number) = 3/6

so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%

The probability that none of the chosen cards were spades is 27/64.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A student draws three cards from a standard deck of cards. If the student replaces the card after each draw.

Number of spades card = 13

The number of non-spade cards would be 39

The probability that none of the chosen cards were spades = Number of favorable outcomes / total number of outcomes

=  27/64.

Thus, The probability that none of the chosen cards were spades is 27/64.

Learn more about probability;

https://brainly.com/question/3615575

Answer:

[tex]x = - 4 \: or \: x = - 14[/tex]

Step-by-step explanation:

We have been given the equation

[tex](x + 9) {}^{2} = 25[/tex]

and we are asked to apply the square root property of equality to our given a equation and isolate the variable

First, take the square root of both sides of our equation

[tex] \sqrt{(x + 9) {}^{2} } = \sqrt{25} [/tex]

[tex]x + 9 = \: 15[/tex]

[tex]x + 9 = 5 \: or \: x + 9 = - 5[/tex]

[tex]x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9[/tex]

[tex]x = - 4 \: or \: x = - 14[/tex]

THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION

[tex]x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14[/tex]

PLEASE MAKR ME BRAINLIEST IF YOU ARE HAPPY WITH THE ANSWER

Answer:

area = 6[tex]\sqrt{14}[/tex]  units²

Step-by-step explanation:

Given the 3 sides of a triangle, we can use Hero's formula to calculate the area (A)

A = [tex]\sqrt{s(s-a)(s-b(s-c)}[/tex]

where s s the semi perimeter and a, b , c the sides of the triangle

let a = 5, b = 9 and c = 10

s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{5+9+10}{2}[/tex] = [tex]\frac{24}{2}[/tex] = 12

A = [tex]\sqrt{12(12-5)(12-9)(12-10)}[/tex]

   = [tex]\sqrt{12(7)(3)(2)}[/tex]

   = [tex]\sqrt{504}[/tex]

   = [tex]\sqrt{36(14)}[/tex]

   =  6[tex]\sqrt{14}[/tex] units²

Answer:

Step-by-step explanation:

a = 5 units ; b = 9units ; c = 10 units

Semi perimeter = (a+b+c)/2 = (5+9+10)/2 = 24/2 = 12 units

s-a = 12 -5 = 7 units

s -b = 12 - 9 = 3 units

s-c = 12- 10 =2 units

[tex]Area=\sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{12*7*3*2}\\\\=\sqrt{2*2*3*7*3*2}\\\\=2*3\sqrt{2*7}\\\\=6\sqrt{14}\\[/tex]

=6*3.742 = 22.452

= 22.45 square units

Answer:

5/12

Step-by-step explanation:

We have to find same denominator for both fractions;

3/4= 9/12

1/3= 4/12

9/12 minus 4/12= 5/12

You will need 5/12 powder more for the experiment.

Answer:

A = (x + 18)(x + 35)

Step-by-step explanation:

Answer:

A = (x + 25)(x + 15) − 30

Step-by-step explanation:

Area of the patio:

Area of bench:

Area A to be painted is the area of patio minus area of bench:

So the last choice is the correct one.

Answer:

31.416

Step-by-step explanation:

2 times Pi (3.14) times the radius (5)

The radius into the formula gives a circumference of 10π feet.

The circumference of a circle can be calculated using the formula:

Circumference = 2 x π x radius

Given that the radius of the circle is 5 feet, we can substitute this value into the formula to find the circumference:

Circumference = 2 x π x 5 = 10π feet

Therefore, the circumference of the circle is 10π feet.

The required probability is 0.687% or 0.6867.

Given Probability:
The probability that a single student exercises regularly is 37%, or 0.37.

Probability for Independent Events:
Since the events are independent events (each student's response does not influence another's), multiply the individual probabilities together. For 5 students, the calculation is :

[tex]Probability\ that\ 5\ randomly\ selected\ students\ will\ say\ thay\ they\ exercise\ regularly = P(5) = 0.37^5[/tex]

Calculation:
[tex]P(5) = 0.37^5 \approx 0.006867[/tex]

Converting to Percent:
To convert this decimal to a percentage, multiplying by 100:
[tex]0.006867 \times 100 \approx 0.6867 \%[/tex]

Rounding:
Finally, rounding to the nearest thousandth:
Probability = 0.687%

So, the probability that 5 randomly selected students will say they exercise regularly is approximately 0.687%.

Final answer:

To find the diameter of the base of the cylinder, use the formula for the volume to solve for the radius, then double the radius to find the diameter.

Explanation:

To find the diameter of the base of the cylinder, we need to first find the radius. We can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula to solve for the radius, we have r = √(V/πh).

Plugging in the given values: V = 63.6 cubic inches and h = 9 inches, we can find the radius: r = √(63.6/3.142 x 9).

Calculating the values: r ≈ √(20.2649) ≈ 4.5055 inches. The diameter is twice the radius, so the diameter ≈ 2 x 4.5055 ≈ 9.011 inches.

Answer: Volume of sample is 4.004 cm³

Step-by-step explanation:

Given: Density of pure silver is 10.49 g/cm³

Mass of silver = 42 grams

To find: The volume of sample

As we know

[tex]\text{ Density }= \dfrac{\text {Mass }}{\text {Volume }}[/tex]

As given in question we have

[tex]10.49 \text { g/}cm^3 = \dfrac{42 g }{\text {Volume}} \\\\\Rightarrow \text {Volume}= \dfrac{42g}{10.49\text { g/}cm^3 } \approx 4.0038 \approx 4.004 cm^3[/tex]

Hence 4. is the right option

Volume of sample is 4.004 cm³

Answer:

[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

since our system of equations is:

[tex]3x-5y=12\\ 4x-2y=15[/tex]

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

[tex]\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right][/tex]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

[tex]\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right][/tex]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

[tex]\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right][/tex]

usually there is a line separating the columns for the values of x and y, and the independent values:

[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]

this is the matrix of the system of equations

Answer:

1365

Step-by-step explanation:

Answer:

The Answer is : D

Step-by-step explanation:

First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.

Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).

y-1 = 2 (4-4)

y-1= 2 (0)

y-1= 0

y= 1

In this case D is correct.

TIP*

If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

Answer:

When x is 4, y = 29

Step-by-step explanation:

the equation y = 5 + 6x, states that y equals 5 + 6 TIMES whatever x is.

So if x = 4, then you can substitute x in the equation to get this:

Y = 5 + 6(4) - substitute x with 4

Y = 5 + 24 - multiply 6 by 4  [6 + 6 + 6 + 6 = 6 x 4]

Y = 5 + 24 - add 5 and 24 together

Y = 29 - 5 + 24 = 29

Therefore, Y = 29

Answer:

x - 16

Step-by-step explanation:

Let the height of the taller palm tree be x.

The shorter palm tree's height is

x - 16

Answer:

x < 16

This is the answer but there has to be 20 characters so I wrote this.

Just go with the other guys answer