Use special right triangle ratios to determine the length of x and y below

Answer:

18

Step-by-step explanation:

The length of  side AC can be found by counting the squares between AC:  8.

The length of side BC can be found using the Pythagorean Theorem.  B is 3 units to the right of C and 4 units above C.  Thus:

|BC| = √(3² + 4²) = √25 = 5.

|AC| has the same length:  5.

Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.

d 18 units 5+5+8. just add the side lengths

Answer:

The data set with the greater range is the girls, the greatest medium is also the girls.

Step-by-step explanation:

The range of the boys is 60-120

while the range of the girls is 70-150

The medium of the boys is 90,

the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)

Answer:

The range is A,8.

Step-by-step explanation:

Range means to subtract the lowest value in the set from the highest value.

The lowest value is 43.

The highest value is 51.

subtract the two(51-43).

=8

hope this helps :)

Step-by-step explanation:

use photomath for math problems and it give you step by step

   Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.

Equation of the parabola given in the question is,

y = -x² - 3x + 6

Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]

y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6

  = -(x + 1.5)²+ (1.5)² + 6

  = -(x + 1.5)² + 2.25 + 6

  = -(x + 1.5)² + 8.25

From this equation vertex of the parabola will be (-1.5, 8.25).

Leading coefficient 'a' = -1 (negative)

y - intercept of the equation → y = -(0 - 1.5)² + 8.25

                                                  y = 6

x- intercept of the equation → 0 = -(x - 1.5)² + 8.25

                                                 (x - 1.5) = √8.25

                                                 x = 1.372, -4.372

  Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).

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Answer with Step-by-step explanation:

A linear function is of the form ax+b

A) f(x) = 8x² + 2

The above expression is not of the form ax+b

hence, it is not linear

B) f(x) = 8 x + 2

The above expression is of the form ax+b

hence, it is linear

C) f(x) = 8x² − 2

The above expression is not of the form ax+b

hence, it is not linear

D) f(x) = [tex]x^8-2[/tex]

The above expression is not of the form ax+b

hence, it is not linear

Hence, function which is linear is:

B) f(x) = 8 x + 2

Answer:

B)

Step-by-step explanation:

Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.

[tex]\frac{4}{4}total[/tex]

[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]

[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the candy bar is remaining

1/4 of the candy bar is left.

First, let's add up the fractions of the candy bar that Jim and his brother ate:

Jim ate = 1/4

his brother ate = 2/4.

To find out how much they ate in total, we add these fractions:

1/4 + 2/4

= 3/4

So, they ate a total of 3/4 of the candy bar.

Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):

1 - 3/4

= 1/4

So, 1/4 of the candy bar is left.

Answer:

1)LSA=219.91 m^2

 TSA= 298.45 m^2

2)LSA=785.39 ft^2

  TSA= 1099.55 ft^2

3)LSA=527.78 in^2

TSA=728.84 in^2

4)LSA=480.66 mm^2

TSA= 735.13 mm^2

5)LSA= 56 cm^2

  TSA= 72 cm^2

6)LSA=261 in^2

  TSA=391.5 in^2

Step-by-step explanation:

lateral surface area(LSA) of cone is calculated by: πrl

Total surface area(TSA) of cone is calculated by: πrl + πr^2

where r is radius of cone

           l is slant height of cone

Q1)

r=5m and l=14m

Putting value in formula:

LSA= πx 5x 14

      = 219.91

TSA= πx 5x 14 + π(5)^2

     = 298.45

Q2)

r=10ft and l=25ft

Putting value in formula:

LSA= πx 10x 25

      = 785.39

TSA= πx 10x 25 + π(10)^2

       = 1099.55

Q3)

r=8in and l=21in

Putting value in formula:

LSA= πx 8x 21

      = 527.78 in

TSA= πx 8x 21 + π(8)^2

     = 728.84

Q4)

r=9mm and l=17mm

Putting value in formula:

LSA= πx 9x 17

      = 480.66 mm

TSA= πx 9x 17 + π(9)^2

      = 735.13

Q5)

LSA of Pyramid is given by= 1/2(p)(l)

TSA of Pyramid is given by= 1/2(p)(l) +B

where p is perimeter of base

           B is area of base

and      l is slant height

Finding p= 4.length of each side       (as it is square base)

               =4x4

               = 16

finding B= s^2

             = 4^2

             =16

Putting values in formula:

LSA= 1/2(7)(16)

      = 56

TSA=1/2(7)(16) + 16

      = 72

Q6)

Finding p= 5.length of each side        (as it is Pentagon)

               =4x8.7

               = 34.8

finding B= 5[1/2(b)(h)]

             = 5[1/2(8.7)(6)]

             =130.5

Putting values in formula:

LSA= 1/2(34.8)(15)

      = 261

TSA=1/2(34.8)(15) + 130.5

      = 391.5 !

PQ^2=(X2-X1)+(Y2-Y1)^2

PQ^2=(4+3)^2+(25-1)^2

PQ^2=625

PQ=25 unit

The length of the segment PQ is 25 units.

Given: Segment PQ

P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)

We have to find the length of the segment PQ.

Length of the segment PQ can be found by using the distance formula.

⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]

⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]

⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]

⇒ PQ = [tex]\sqrt{49+576}[/tex]

⇒ PQ = [tex]\sqrt{625}[/tex]

⇒ PQ = 25 units

Therefore, the length of the segment PQ is 25 units.

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Answer:

50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can use the alternating interior angles theorem to determine that 50 and y are congruent.

Therefore the measure of angle y is 50.

Answer: two point six eight five

Step-by-step explanation:

Answer: two and six hundred and eighty five thousands

The probability of selecting a boat from Rhode Island is 7 out of 14, which simplifies to 1/2, or 50%. There's an equal chance of picking a boat from Rhode Island as not.

The probability of selecting a boat from Rhode Island at the marina is calculated by dividing the number of Rhode Island boats by the total number of boats.

There are 7 boats from Rhode Island and 14 boats in total.

Therefore, the probability is 7 out of 14, which simplifies to 1/2 when reduced.

This can also be written as a decimal, 0.5, or a percentage, 50%, indicating that there is an equal chance of selecting a Rhode Island boat as there is of selecting a boat from another place.

Thus, there's an equal chance of picking a boat from Rhode Island as not.

Final answer:

The probability that a randomly selected boat will be from Rhode Island is 1/2.

Explanation:

To calculate the probability that a randomly selected boat at the marina is from Rhode Island, we use the basic probability formula:

Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes)

Given that there are 7 boats from Rhode Island and a total of 14 boats at the marina, the probability (P) that a randomly selected boat is from Rhode Island is:

P(Rhode Island) = 7 / 14 = 1/2.

Therefore, the simplified fraction representing the probability is 1/2.

Answer: x = 9

x = -5

Step-by-step explanation:

Answer:

Quotient

Step-by-step explanation:

The quotient is the answer of the division equation.

answer:

​quotient

Step-by-step explanation:

quotient is the answer to a division problem

Answer:

105 degrees

Step-by-step explanation:

The measure of angle H from the given figure is 67.5 degree.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Given that measure of angle F is 67.5°

The angles formed when two lines cross each other are known as vertical angles. Vertically opposite angles are the opposing angles created by these lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

From the given figure,

∠F=∠H (Vertically opposite angles are equal)

Angle F= Angle H=67.5°

So, angle H is 67.5 degree

Therefore, the measure of angle H is 67.5 degree.

To learn more about the vertical angle theorem visit:

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"Your question is incomplete, probably the complete question/missing part is:"

The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠H?

Answer:

405 inches^2

Step-by-step explanation:

V=bh/3

The base would be 81 because 9x9

The height is 15

81x15=1215

1215/3= 405

15/27 but if you want to simplify it it’s 5/9

Answer:

1. F

2. T

3. T

4. T

Step-by-step explanation:

Let's break down the definitions.

Quadrilateral - A polygon with 4 sides

Square - A quadrilateral with 4 equal sides and 90 degree angles

Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles

Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles

Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles

Now let's look at the questions.

Does every 4 sided figure have equal sides? - No

Is a rectangle with 4 equal sides a square? - Yes

Is every parallelogram with 4 equal sides a parallelogram? - Yes

Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes

Question 1 - False, rectangle is not a square if it has a different length or width

Question 2 - True, square can also be a rectangle as long as there are four congruent sides

Question 3 - True, rhombus is a parallelogram

Question 4 - True, square can be also known as a rectangle

Answer: w = 61

Step-by-step explanation:

If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).

Answer:

Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]

Step-by-step explanation:

A quadratic function has the form:

[tex]f(x)=ax^2+bx+c[/tex]

(Where [tex]a\neq0[/tex])

You can observe that the highest exponent of a quadratic function is 2.

Then, let's check which of the options shows a quadratic function:

1) [tex]f(x) = 2x^3 + 2x^2 - 4[/tex]

Its highest exponent is 3, then this is not a quadratic function.

2) [tex]f(x) =-7x^2 -x + 2 [/tex]

Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.

3) [tex]f(x) = -3x + 2[/tex]

Its highest exponent is 1, then this is not a quadratic function.

4) [tex]f(x) =0x^2+3x-3[/tex]

You can observe that [tex]a=0[/tex], then this is not a quadratic function.

Answer:

B. f(x) = –7x2 – x + 2

Step-by-step explanation:

the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !

Answer:

1. How many hours do the students in this class sleep each night

How many letters are in the first name of each person in this class

2. How many marbles are in the jar on the teacher's desk

3. How tall are the sixth grade students in your school

How many pull-ups can each student in your class do

How many students were absent from Mrs. Jenssen's class today

What was the temperature at 4pm each day this week

Step-by-step explanation:

ANSWER

The area of the shaded sector is

[tex]Area =\pi \: {in}^{2} [/tex]

EXPLANATION

The area of a sector is calculated using the formula,

[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]

[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]

This finally simplifies to

[tex]Area =\pi \: {in}^{2} [/tex]

Answer:

Area of shaded region = 3.14  in²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr²  = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

 = (1/4)12.56 = 3.14  in²

Answer:

13

Step-by-step explanation:

If you said one side was 5 inches long anf the other side was 8 add thoes up u get 13

Answer:

This is a Question from an Iready test!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

SA = 250 pi

SA = 785 in^2

Step-by-step explanation:

Givens

d = 10

h = 20

r = d/2

Formula

r = d/2

r = 10/2

r = 5

SA = 2*pi*r^2 + pi*d*h

Solution

SA = 2 * pi * 5^2 + pi * 10 * 20

SA = 2 * 25 *pi  + pi * 200

SA = 50 pi + 200 pi

SA = 250*pi

This is one answer.

The second is 250 * 3.14

SA = 785 in^2

Answer:

x=1

Step-by-step explanation:

This stuff is quite easy in reality. Here's a little example including your numbers.

[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]

by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1

Answer:

about [tex]84\%[/tex]

Step-by-step explanation:

From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.

The sample size is n=25.

The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]

We simplify this to get:

[tex]=21\times 4\%[/tex]

[tex]=84\%[/tex]

84%

Step-by-step expl

Answer:

6 mph

Step-by-step explanation:

Difference in distance

= 15 - 12

= 3 mi

time taken

= 30 mins

= 1/2 hour

Speed

= 3 ÷ 1/2

= 6 mph

Answer:

A. $3,992.50

Step-by-step explanation:

Pavi has a credit limit of $8,000.

The credit statement says that the current balance is $4,007.50.

The margin Pavi has is the limit ($8,000) minus the current balance ($4.007.50), so 8000 - 4007.50 = 3992.50

It could have been guessed easily, because the balance is roughly half of the credit limit... so what's left is roughly half of the credit limit.   And the first answer is the only one close to that half-limit number ($4,000).

Answer:

Monday:

40 minutes

Tuesday:

80 minutes

Wednesday:

60 minutes

Step-by-step explanation:

x + 2x + (1/2)(x + 2x) = 180

4.5x = 180

x = 40 minutes