Mathematics High School

Consider the figure below.



What are the values of x and y?

Consider The Figure Below. What Are The Values Of X And Y?

Answers

Answer 1

Answers:

x = 14

y = 14

==========================================

Explanation:

The tickmarks indicate the sides x and y are the same length.

So y = x or x = y

We can use the Pythagorean theorem to say

a^2 + b^2 = c^2

x^2 + y^2 = (14*sqrt(2))^2

x^2 + x^2 = 14^2*(sqrt(2))^2

2x^2 = 196*2

x^2 = 196  ...... divide both sides by 2

x = sqrt(196)

x = 14

This must mean that y = 14 as well.

This triangle is an isosceles right triangle. We also consider it a 45-45-90 triangle because the three angles are 45, 45, and 90 degrees.

For any 45-45-90 triangle, the hypotenuse is always sqrt(2) times the leg length.

hypotenuse = leg*sqrt(2)

Related Questions

Example #2: Solve for d:
cd = 10

Answers

Answer:

Step-by-step explanation:

All you can do is solve for d in terms of C.

Divide both sides by c

cd/c = 10 / c

The c s cancel.

d = 10/c

helpppppppppppppppp i dont know this

Answers

Answer:

f(- 3) = - 16

Step-by-step explanation:

To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then

f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16

helpp ill mark u as brain list​

Answers

Answer:

6

Step-by-step explanation: if im wrong then  sorry i couldnt really see

Answer:

They are each one off

Step-by-step explanation:

I need help what is the diameter of this circle?​

Answers

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

The full distance from side to side, or radius multiplied by 2!

Graph the equation y = -x^2+ 8x – 15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation –x^2 + 8x – 15 = 0.

Answers

Answer:

Graph below

Step-by-step explanation:

Graph of the Quadratic Function

We are given the function:

[tex]y=f(x)=-x^2+8x-15[/tex]

Select 5 values of x={2,3,4,5,6}

And calculate the corresponding values of y:

[tex]f(2)=-2^2+8*2-15=-4+16-15=-3[/tex]

[tex]f(3)=-3^2+8*3-15=-9+24-15=0[/tex]

[tex]f(4)=-4^2+8*4-15=-16+32-15=1[/tex]

[tex]f(5)=-5^2+8*5-15=-25+40-15=0[/tex]

[tex]f(6)=-6^2+8*6-15=-36+48-15=-3[/tex]

We have obtained the points

(2,-3) (3,0) (4,1) (5,0) (6,-3)

Now we plot them in the graph below.

It can be noted three remarkable points:

The vertex is located at (4,1)The roots are located at (3,0) and (5,0)

The roots of the equation

[tex]-x^2+8x-15=0[/tex]

Are x=3 and x=5.

PLEASE HELP ITS IMPORTANT omll

Answers

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?

Answers

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
ANSWER IS 8.55

PLEASE PLEASE HOW MANY TIMES CAN I SAY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer like
Answer 1.___________
Answer 2.___________
Answer 3.___________
Answer 4.___________
Answer 5.___________

Answers

Q12 Restaurant and food/beverage

Q13 bachelor in art history

Q15 dance studio

Q14 recreation, amusements, and attractions

HELP ME PLS...................TY

Answers

Answer:

E

Step-by-step explanation:

the only one where all the pieces of the equation have the same signs

5(x-2)= 3(x+4)

What is the answer to this equation?

Answers

Answer:

x = 11

Step-by-step explanation:

5x-10=3x+12

5x-3x=12+10

2x=22

x =11

The answer to this equation is x=11

5(x-2) = 3(x+4)

5x-10 = 3x+12
-3x -3x

2x-10 = 12
+10 +10

2x = 22

x= 11

Hope this helps :)

Please help
Due asap SHOW a workings please

Answers

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

the sum of any two sides must always be GREATER than the 3rd side-so this is not an option

triangle 10,4,5

5+4=9

9<10

not an option

−2(x + 9) + 25 = 14 − 3x
(step by step pls)

Answers

Answer:

-2x+18+25=14-3x

collect like terms

-2x+3x=14-25-18

x=29

Please answer this question its easy.

Answers

Answer:

ok if its wrong then dont ask on period

Step-by-step explanation:

Gfgdhhehehdhrjrhdhhrr hrhrhurhrhrhrhrr shrugged

Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A: 1,2,9
Set B: 0,4,6,5

Answers

Answer:

wheres the picture?

Step-by-step explanation:

Kevin bought a used guitar at a garage sale
for $150. He fixed it up and sold it for
$200. What was the approximate percent of
increase?

Answers

Answer:

34%

Step-by-step explanation:

Answer

33.3%

Step-by-step explanation

Please can i get help

Answers

Answer:

[tex]\frac{1}{3}x+\frac{1}{2}[/tex]

Step-by-step explanation:

hope this helps :)

Which is the better buy on potatoes?
3 lbs. for $.90
5 lbs. for $1.60

Answers

Answer:

3 pounds for 90 cents.

Step-by-step explanation:

The 5 pound bag costs 32 cents a pound

The 3 pound bag is 30 cents a pound

Quick whoever gives the right answer gets brainliest

Answers

Answer:

The independent variable (IV) is the amount of hamburgers

Step-by-step explanation:

The amount of hamburgers influence the sale amount.

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t *

Answers

Answer:

distance= 16×32

d= 512

got it?

What single decimal multiplier would you use to decrease by 19% followed by a 17% decrease?

Answers

Answer:

0.81 & 0.83

Step-by-step explanation:

0.13 028. is the answerrrrr

lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball

Answers

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angles 1, 2, 3 and the bottom triangle has angles 4, 5, 6. Which angle is congruent to Angle 4? Angle 1 Angle 2 Angle 5

Answers

Answer:The line that is congruent to angle 4 is angle 1

hope this helped :)

Answer:

a

Step-by-step explanation:

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.

Let x = the number of games played.

Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.


Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.

Answers

Answer:

The variable x should represent the amount of money left.

Step-by-step explanation:

im not sure but this one makes sense

Answer:

The Answer to this problem is (A)

St)ep-by-step explanation:

The variable x should represent the amount of money left.

Help me pleasee .. the question is in the picture.. please and thank you

Answers

y=5x-4 is the answer

Answer:

y = -4x+5

Step-by-step explanation:

Goes up the y-axis by +5, then, remember: rise over run for slope. In this case, you go down 4 and to the right 1, so -4/1 which is -4.

tan30° + Cos30°/ tan30° . cos30°​

Answers

Answer:

tan30° + Cos30°/ tan30° . cos30°

1/√3+√3/2/(1/√3)×√3/2

1/√3+3√3/4

If the camper leader has 12 campers, how much does she spend on books?

Answers

Answer:

bro how she got 12 campers

Step-by-step explanation:

Solve for a missing factor,
1. ____ x 10 = 320

2. 10 x 17 = ____

3. ____ tens = 290

Answers

Answer:

1. 32

2. 170

3. 29

Step-by-step explanation:

1. is just 10 divided by 320, which gives you 32

2. is 10 times 17 which is 170

3. you need 29 tens to get 290.

1. 32
2. 170_________

i need help with these asap i will award brainleast for whoever gets it right *ONLY ANSWER IF U KNOW PLEASE*

Answers

Q1 a=60 b=60 c=120 Q2= a=64 c=64 b=52 Q3 w=41 v==49 very easy questions

Answer:

Q1) a = 60

Q2) A = 64

Q3 = A =

What is the product?​

Answers

Answer:x=45.6

Step-by-step explanation:

Answer:

(x^2 - 5x^2 + 4x) / 2x + 8

Step-by-step explanation:

(x^2 - 16) / 2x + 8 * (x^3 - 2x^2 + x) / (x^2 + 3x -4)

(x^5 - 2x^4 - 15x^3 + 32x^2 -16x) / 2(x - 1)(x + 4)(x + 4)

x(x-1)(x-1)(x+4)(x-4) / 2(x - 1)(x + 4)(x + 4)

(x^3 -5x^2 +4x) / 2x + 8

Solve the quadratic equation 3x^2-9x+1=0.
Please help.

Answers

Answer:

Exact Form-9+√69÷6

Decimal form-2.88443731

Step-by-step explanation:

Other Questions
IF YOU DONT KNOW THE ANSWER TO A QUESTION SOMEONE IS ASKING, DONT ANSWER I dont know. YOUR NOT HELPING ANYONE. Hi can you help me with this problem i dont understand itIll do anything if your correct When measuring the volume of a liquid, how would sample size (e.g., using a 10 mL graduated cylinder vs. a 100 mL graduated cylinder to measure out 70 mL of a liquid) affect the absolute error and percentage error in the measured values of mass and volume and therefore the density After you have applied the rotation matrix to theoriginal vector, you get:[-2 4][-4 2][2 -4] which one is it? Which of the following best describes a yeast bud?A) A yeast bud is genetically identical to the original yeast cell.B) A yeast bud has different mutations from the original yeast cell.C) A yeast bud has half as much genetic material as the original yeast cell.D) A yeast bud contains twice the genetic material as the original yeast cell. Which soil horizon, also known as the zone of accumulation, is enriched in clay, iron oxides, silica, carbonate, and other materials?A)A HorizonB)B HorizonC)C HorizonD)O HorizonE)E Horizon What does the first amendment protect Which of these statements is correct?A. The identification of silica sand on Earth's beaches is strong evidence that Earthhas changed over time.B. The presence of distinct layers in Earth's surface is evidence that Earth's surfacehas not been changing over time.C. Fossilized plankton, clams, and fish found on the tops of mountains are evidencethat Earth has changed over time.D. Fossils of similar species found on different continents are strong evidence thatEarth has not changed over time.Submit The doctrine of state decisis is a Linda had 25 ounces of water in her water bottle.After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation. * describe and correct the error in writing an equation of the line with a slope of 2 and a y intercept of 7 Who is Billie Jos Ma at the Christmas dinner Question 1 with 1 blankLa de Sara es grande. Question 2 with 1 blankHctor y Lupita son . Question 3 with 1 blankMaira Daz es . Question 4 with 1 blankRubn habla con su . Question 5 with 1 blankLos dos estn en el parque. Question 6 with 1 blankIrene es . Question 7 with 1 blankElena Vargas Soto es . Question 8 with 1 blankDon Manuel es el de Martn. 14x^7/7x simplified? Charles's law describes the relationship of the volume and temperature ofgas at a constant mass and pressure. According to this law, what wouldhappen to the volume of the gas if its temperature increased from 150 K to300 K?A. The volume would increase from 150 mL to 300 mL.B. The volume would be reduced by half.C. The volume would decrease by 150 mL.D. The volume would double. 7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8mangoen and 7 oranges. How much did she pay in all for the Items?working As Allied forces moved toward Berlin, they liberated people in . The systematic murder of the Jewish population of Europe during World War II is called the Coffee is an example of what? But its for ninth grade so somebody help me out find the value of:a) (3-+4-+5-)0this 0 at last is power.. Activity 5.8Find out how the operation of colour laser printers differs from the operation of monochromelaser printers.