Work out the length x.
+
7.5 cm
16 cm

Work Out The Length X.+7.5 Cm16 Cm

Answers

Answer 1

Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )

x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )

Answer 2

The measure of hypotenuse length x would be 17.67 cm

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²  

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Using the Pythagoras' identity in the right angled triangle.

hypotenuse²  = perpendicular²  + base²

x² = 16² + 7.5²

x²= 256 + 56.25

x²= 312.25

Now take the square root of both sides

x = √312.25

x =  ≈ 17.67 ( to 2 dec. places )

Therefore, the measure of hypotenuse length x would be 17.67 cm

Learn more about Pythagoras theorem here:

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Related Questions

How do you graph Y =4 find the slope of a line that is parallel to it

Answers

Answer:

Answer is below

Step-by-step explanation:

I graphed the equations on the graph below.

The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.

The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c

Answers

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

What are Linear Equations in Two Variables?

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

Learn more about Linear Equations in Two Variables;

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Solve the equation.
2/3-4x+7/2=-9x+5/6

Answers

Answer:

x=-2/3

Step-by-step explanation:

Answer:

x = -2/3

Step-by-step explanation:

don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go

What are the long-term and short-term effects of a father's death at age 13?​

Answers

Having depression, sometimes people make you bullying and that starts to be a big problem for you

Answer:

I'm 13 so I'll be able to imagine this.

Step-by-step explanation:

-depression

-worry of afterlife

-insecurity

-increased fear of losing other family members

-untrust

-just general sadness

-feeling like it is your fault/blaming yourself

Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.

a. 6x2 + 9x + 8x + 5

b. (3x + 1)(2x + 5)

c. x(6x + 17) + 5

d. 3x(2x + 5) + 1(2x + 5)

Answers

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

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What is the answer to 1 7/9 ÷ 4/5 and explain please

Answers

Answer:

2 2/9

Step-by-step explanation:

So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9

And that is how to do it.

Answer: 2 8/36 or 2 2/9 (simplified)

HOPE THIS HELPS :)))

The answer to this is 20/9 or 2 2/9

An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?

Answers

Answer:

6 < x < 26

Step-by-step explanation:

let x be the third side, then

difference of 2 sides < x < sum of 2 sides , that is

16 - 10 < x < 16 + 10

6 < x < 26

what is the leading coefficient of the polynomial f(x) defined below:

Answers

Answer  is    -3

Explanation:

The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.

The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.

If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.

what is x if -3x + 6 =39

Answers

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

A. all real numbers
B. x≤0
C. x≥4
D. -2≤x≤2

Answers

Answer:

D. The true answer is D. -2<x<2

Multiply and simplify

V8xyz3 . V10x3y2z

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]

Which of the following best describes the perpendicular lines?

Answers

Answer:

A perpendicular line is a line that meets a 90 degree angle.

Step-by-step explanation:

Think of the letter L

the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.

Thats the best way I can explain it.

Hope this helps and please mark me brainliest if it did :)

Answer:

Hey!

Your answer is B. Lines that meet at a 90 degree angle!

Step-by-step explanation:

Just think of an L or something...

The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 543

Answers

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

Using the line of best-fit, it is found that:

The linear regression model is [tex]y = -25.31x + 1000[/tex]The estimate is that the number of cases would reach 543 in the year of 2026.

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

The line of best-fit is given by:

[tex]y = bx + a[/tex]

The slope is:

[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]

After the slope is found, using the means for x and y, the coefficient a is found.

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

The means are given by:

[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]

[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]

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

The sums are:

[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]

[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]

Using a calculator:

[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]

[tex]\sum (x - \overline{x})^2 = 17.5[/tex]

Thus, the slope is:

[tex]b = -\frac{443}{17.5} = -25.31[/tex]

And

[tex]y = -25.31x + a[/tex]

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

Using the means to find a:

[tex]y = -25.31x + a[/tex]

[tex]937 = -25.31(2.5) + a[/tex]

[tex]a = 1000[/tex]

Thus, the linear regression model is:

[tex]y = -25.31x + 1000[/tex]

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

The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:

[tex]y = -25.31x + 1000[/tex]

[tex]543 = -25.31x + 1000[/tex]

[tex]25.31x = 1000 - 543[/tex]

[tex]x = \frac{1000 - 543}{25.31}[/tex]

[tex]x = 18.1[/tex]

2008 + 18 = 2026

The estimate is that the number of cases would reach 543 in the year of 2026.

A similar problem is given at https://brainly.com/question/21826199

Consider the following equations:


−x − y = 1

y = x + 3


If the two equations are graphed, at what point do the lines representing the two equations intersect?



a

(−1, 2)


b

(−2, 1)


c

(1, −2)


d

(2, −1)

Answers

Answer:

The Answer is: (-2,1)

Step-by-step explanation:

Really need help can someone help me with this problem plz! I need help asap! Someone plz help me plz plz help me!

Answers

Answer:

x = 358. / Maximum amount of money for sales = $3,759

Step-by-step explanation:

x + 26 = 384. Inverse operations

-26. -26

x = 358

358($10.50) = $3,759

jasmine gets $3.00 every time her song gets 1000 monetized streams. If 3/10 of her streams are monetized how much money would she have if she got 3 million streams?

Answers

Answer:

$270,000

Step-by-step explanation:

1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000

2. 900,000 divided by 1,000 is 90,000

Then, to calculate the dollar amount we do:

3. 90,000 x 3.00 = 270,000

In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.

Hope this helps!

make r the subject of the formula t=r/r-3

Answers

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?

Answers

Answer:

40 feet

Step-by-step explanation:

Since x=4

3x-4=3(4)-4=12-4=8 feet

x^2-1=4^2-1=16-1=15 feet

2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet

Perimeter=8+15+17=40 feet

A dolphin jumps 3 feet above sea level to go through a ring. The dolphin starts at the opposite distance below sea level. How far does the dolphin travel from its starting position to the top of it's jump?

Answers

Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

subtract the following integer in number line =5 from 3​

Answers

Answer:

-2

Step-by-step explanation:

3-5= -2

3-5 = 2

The answrr is 2

compare: 5/12 to 1/12 which one is greater

Answers

Answer:

5/12 is greater

Answer:

5/12 is greater than 1/12

Step-by-step explanation:

when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12  

Catherine reflected the triangle across the x axis. What is the new
triangle?

Answers

for point A= -1 for point B= -2 for point C= -4. To get your answers alls you have to do is literally reflect the triangle numbers as of it was in a mirror

Answer:

C. (or the third graph)

Step-by-step explanation:

GUYS PLEASE HELP!!!!! WILL GIVE BRAINLIEST FOR BEST ANSWER!!!!

(a) Consider the following statement:
The dress is yellow.
Check all the statements below that are negations of this statement.
It is not the case that the dress is yellow
The dress is not blue
The dress is multicolored
(b) Consider the following conditional statement:

If Mary is wearing tennis shoes, then Mary has been exercising.

What is the conclusion of this statement?
Mary is not wearing gym shorts
Mary has never exercised
It is not true that Mary is wearing gym shorts
Mary is wearing tennis shoes
Mary has been exercising

Answers

Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots

Answers

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =

A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.

Answers

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.​

Answers

Answer: A (4, -7) B (9, -7)

Step-by-step explanation:

When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change

x coordinates: 4, 9

y coordinates: 7, 7

Reflected over x-axis: (4, -7), (9, -7)

x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method​

Answers

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

I need this answered in two-column proof form. Thanks!

Answers

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

PLZ HLP MEEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.

Answers

Answer: A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Step-by-step explanation:

Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.

Cost of scooter = $600

Weekly installment = $18.75

Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.

Let 'x' be the number of weeks .

Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)

[tex]\Rightarrow\ 150=600-18.75x[/tex]

[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]

i.e. After 24 months when she has $150 left to pay for the motorized scooter.

Hence, the correct answer is :

A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Answer:

B)-18.75x+600=150

Step-by-step explanation:

Got it right on my test!

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