If 2h=81^2−19^2, then find the value of h.

Answers

Answer 1

Answer:

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

Evaluate exponents:                                                                                         2h = 6561 - 361Subtract:                                                                                                            2h = 6200[Division Property of Equality] Divide 2 on both sides:                                  h = 3100
Answer 2

Answer:

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100


Related Questions

Find the area devoted to each type of flower. Please help!! I will give Brainliest!!!

Answers

Answer:

Roses

4*8 = 32 ft²

Zinnias

8*12 - 4*8 = 64 ft²

Snapdragons

12*16 - 8*12 = 96 ft²

Petunias

20*16 - 12*16 = 128 ft²

Area of rectangle = length × width

Roses → 8 × 4 = 32 ft²

Zinnias → 12 × 8 - 8 × 4 = 64 ft²

Snapdragons → 12 × 16 - 12 × 8 = 96 ft²

Petunias 20 × 16 - 12 × 16 = 128 ft²

Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392 recorded manatee deaths in 2012, 68 were perinatal and 81 were caused by collision with a watercraft.

Required:
a. What is the probability that the death of a randomly selected manatee was due to collision with a watercraft?
b. What is the probability that the death was not due to collision with a watercraft?
c. What is the probability that the cause of death was due to perinatal problems or collision with a watercraft?

Answers

Answer:

a) 0.206 , b) 0.794 , c) 0.38

Step-by-step explanation:

a) Prob(watercraft collision death)= Watercraft collision deaths / Total deaths = 81 / 392 = 0.206

b) Prob (Death non watercraft collison) = 1 - Prob (Death watercraft collision) = 1 - 0.206 = 0.794

c) Prob (Prenatal or watercraft collision death) = (68 + 81) / 392 = 0.38

grace has 18 blueberry muffins and 24 cranberry muffins. she wants to serve the muffins so that each plate has the same number of each type of muffin. what is the greatest number of plates grace should use so that each plate has the same number of each type of muffin

Answers

Answer: 6 plates

Step-by-step explanation:

18 ÷ 6 = 3

24 ÷ 6 = 4

3 blueberry muffins and 4 cranberry muffins for each plate.

Answer:

6 because there can be 6 plates of 2 blueberry muffins and 4 cranberry muffins

Step-by-step explanation:

easy 5th grade math please look at photo and show work. Giving brainliest!!

Answers

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

i need helppp badly ​

Answers

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

D) Segment BF = 18

Step-by-step explanation:

24/36=18/27

2/3=2/3

D) Segment BF = 18

Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots

Answers

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]

Since the inside of the square root is negative, there are no real roots.

how is statement. B related to statement A
A if two angles are supplementary, the sum of their angles is 180 degrees. B. if the sum of the measured of two angles is not 180, then the two angles are not supplementary.​

Answers

Answer:true.the given information is 100% right.

Step-by-step explanation:

are -(x-4) and -x+4 equivalent?

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes they are

Step-by-step explanation:

i’m having trouble with this problem

Answers

Answer:

8 of the 28 horses would be palomino horses

Step-by-step explanation:

First off, we understand that there are 10 palomino horses and 25 others, meaning there are 35 total.

The question wants to know that if 28 horses came out, how many of them would be palomino horses.

We know that the palomino horses are  [tex]\frac{10}{35}[/tex]

What we need to know is [tex]\frac{x}{28}[/tex]

to find x, we cross multiply

 

[tex]\frac{10}{35} = \frac{x}{28}[/tex]

10 x 28 and 35 x X

280  =  35x

Divide both sides by 35

x = 8

8 of the 28 horses would be palomino horses

I think it’s what the other person said

Can you show me how to set up the proportion?

Answers

Answer:

Step-by-step explanation:

First of all, write the similarity statement for the triangles.

  ΔCDE ~ ΔCBA

Identify the line segments in each triangle that you know. Preferably, choose ones that correspond.

  CE = 27, DE = the length we want to find . . . . known segments in ΔCDE

  CA = (18+27) = 45 . . . . . corresponds to CE

  BA = 28 . . . . . . . . . . . . . corresponds to DE

__

The ratios of corresponding line segments are equal:

  DE/CE = BA/CA . . . . this is the proportion you want to set up*

  DE/27 = 28/45

Multiply by the denominator of DE/27 to eliminate that:

  DE = 27(28/45)

  DE = 16.8

_____

* I usually choose to put the unknown variable in the numerator of a proportion, so that solving it only involves multiplication by the denominator. If you put the variable in the denominator, the solution takes an extra step.

write the equation in standard form: 4x - 3 = 5y

Answers

Answer:

4x−5y=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Express as a sum: m-n​

Answers

Answer:

-n+m

Step-by-step explanation:

beans

Answer:

m + (-n)

Step-by-step explanation:

m + (-n) is the same thing as m - n, but it is still a sum, so that is the answer.


Plz I need the answer fast

Answers

I think it’s 7, because 10% is 2.55

Erica is playing target one fraction. She has these cards: 1,2,3,4,6. Write an expression for the number Erica will solve

Answers

Answer:

in my understanding I think you take the 1/6 because you have to find only one card that would make a fraction

Luis tiene tantos besos como lo indica el Luis tiene tantos pesos como lo indica elmenor número de tres cifras Carolina tiene tantos pesos como lo indica el mayor número de dos cifras a uno de ellos se le dio un peso Y entonces los dos quedaron con la misma cantidad de dinero a quien se le perdió el peso





Answers

Answer:

me no speak espanyol

Step-by-step explanation:

Find the distance between the points (-7, -10) and (-5, -1)

Answers

Find the Distance Between Two Points
Use the distance formula to determine the distance between two points.
Exact Form:
√85

Decimal Form:
9.21954445

If a student were going to write about their favorite food, they would want to include sensory language that focuses on. help please

Answers

Answer:

Here are the answers

Step-by-step explanation:

1. taste and smell

2. they allow the reader to feel as if he or she is in the story

3. touch

4. to make the writing more interesting and vivid, to provide greater detail to a narrative

Language Arts 6 B  Unit 7 Lesson 13

Students would want to include sensory language which describes in the solution part that focuses on writing about their favorite food.

What is sensory language?

Sensory Language is a word or words used to evoke mental imagery and help the reader visualize the tale or poetry. Imagery is a literary method that appeals to the reader's senses, whereas Sensory Language is a writing style and how writers utilize words to generate images for the readers.

When writing about their favorite food, a student might want to include sensory language that focuses on how the food looks, smells, tastes, feels, and sounds. This can help to paint a vivid picture for the reader and make the experience of reading about the food more immersive.

For example, if the student's favorite food is pizza, they might describe the golden, crispy crust; the savory, spicy tomato sauce; the gooey, melted cheese; the spicy sausage and bell peppers; and the satisfying crunch that it makes when they take a bite. They might also describe the way the warm, comforting aroma of the pizza fills the room as it cooks, or the way the different textures and flavors come together in each bite to create a satisfying and delicious meal. By using descriptive language that focuses on the senses, the student can help the reader to better understand and share in their love of the food.

Learn more about sensory language here:

https://brainly.com/question/28761616

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What is the area of this parallelogram? O 28 m2 O 56 m2 0 84 m2 0 120 m2​

Answers

Answer:

area of parllelogram=base×height=(4+8)×7=12×7=

84m²

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 70 for homework, 75 for the quizzes, 65 for the midterm and 88 for the final exam. What will be the student’s class grade?

Answers

The grade will round up to around 70 percent the low ones will hold it down

An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price. ​

Answers

Answer:

the final price of the item wud be 15.75

Step-by-step explanation:

ONM has vertices O (-4, 2), N (3, 6) and M(0,3). What are the coordinates of the

vertices of O' N' M' if ONM is first translated (x, y)+(x + 3, y) followed by a

reflection across the line y = 1?

Answers

Answer:

The new vertices are [tex]O''(x,y) = (-1, 0)[/tex], [tex]N''(x,y) = (6,-4)[/tex] and [tex]M''(x,y) = (3,-1)[/tex].

Step-by-step explanation:

Previously, we have to define a vectorial equation for a reflection across the line [tex]y = 1[/tex]:

Reflection across the line y = 1:

[tex]P'(x,y) = P(x,y) -2\cdot [P(x,y) -(x_{P},1)][/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]x_{P}[/tex] - x-Coordinate of the original point.

[tex]P'(x,y)[/tex] - Resulting point.

Translation:

[tex]P'(x,y) = P(x,y) + (3,0)[/tex] (2)

If we know that [tex]O(x,y) = (-4,2)[/tex], [tex]N(x,y) = (3, 6)[/tex] and [tex]M(x,y) = (0,3)[/tex], then the resulting points are, respectively:

Point O'

Translation

[tex]O'(x,y) = O(x,y) + (3,0)[/tex]

[tex]O'(x,y) = (-1,2)[/tex]

Reflection

[tex]O''(x,y) = O'(x,y) -2\cdot [O'(x,y) -(x_{O'},1)][/tex]

[tex]O''(x,y) = (-1,2) -2\cdot [(-1, 2)-(-1,1)][/tex]

[tex]O''(x,y) = (-1, 0)[/tex]

Point N'

Translation

[tex]N'(x,y) = N(x,y) + (3,0)[/tex]

[tex]N'(x,y) = (6,6)[/tex]

Reflection

[tex]N''(x,y) = N'(x,y) -2\cdot [N'(x,y) -(x_{N'},1)][/tex]

[tex]N''(x,y) = (6,6) - 2\cdot [(6,6)-(6,1)][/tex]

[tex]N''(x,y) = (6,-4)[/tex]

Point M'

Translation

[tex]M'(x,y) = M(x,y) + (3,0)[/tex]

[tex]M(x,y) = (3,3)[/tex]

Reflection

[tex]M''(x,y) = M'(x,y) -2\cdot [M'(x,y) -(x_{M'},1)][/tex]

[tex]M''(x,y) = (3,3) - 2\cdot [(3,3)-(3,1)][/tex]

[tex]M''(x,y) = (3,-1)[/tex]

The new vertices are [tex]O''(x,y) = (-1, 0)[/tex], [tex]N''(x,y) = (6,-4)[/tex] and [tex]M''(x,y) = (3,-1)[/tex].

It should be surprising if someone told you the average height of all respondents was actually 1.69 meters. TRUE/FALSE?
True
False

Answers

True because DKDKDKDKDKXK
The answer is most definitely True.

What is the sum of 3+(-5)?

Answers

Answer:

Your answer is -2 hope this helps

Answer:

The sum of 3+(-5)=-2 ......

Quadrilateral A'B'C'D' is the result of dilating quadrilateral ABCD about point D by a scale factor of 3/2. Determine whether each claim about the properties of ABCD and A'B'C'D' is true or false.


The perimeters of ABCD and A'B'C'D' are the same (True or False)

The lengths of segment CD and segment C'D' are equal. (True or False)​

Answers

Answer:

Both are false

Step-by-step explanation:

The shape underwent dilation, meaning that it is no longer the same size. All the proportions and ratios of the sides stayed the same, but their lengths all changed. Therefore, the perimeters of the two shapes are cannot be the same and the lengths of segments CD and C'D' must be different.

I hope this helps!

Answer:

hope this helps! =)))

Step-by-step explanation:

Please need help on this one

Answers

Answer:

it is 7

Step-by-step explanation:

so i did guess and check

i went two how many time something can go into 28 and i pick four so after you do 2(4)-1 you get 7

so then u add 7 +7 and u get 14 the i just put 7 for the other on b/c ur finding ur perimeter

A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be green?

Answers

Answer:

There would be a 44.4% chance of drawing all blue marbles

Step-by-step explanation:

7+3+8=(total marbles) (8=the amount that are blue in the total 8/18=44.4%

Charnika has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Charnika withdraw money from her account?
A: –10 or less
B: –10 or greater
C: 12 or less
D: 12 or greater

Answers

ANSWER:

D) 12 or greater

Step-by-step explanation:

Total money Charnika has = $500

The money she wants to save = $200

Amount of money she can spend = $ (500 - 200)

= $300

Amount of money withdrawn in every week = $25

The number of weeks the money can be withdrawn = $ (300÷25)

= $ 12

HOPE IT HELPS

IF YOU LIKE IT THEN PLEASE MARK ME BRAINLIEST

PLEASE JUST GIVE EXPRESSION. WILL GIVE BRAINLIEST

Samantha works part-time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.

Answers

Answer:

like a month she earns $462.30

so if you want like how many she earns in 4 years then,

just do $462.30×4

after calculation answer will come.

If f(1)=6 and f(n)=f(n-1)+2 then find the value of f(6)

Answers

Answer:

Step-by-step explanation:

Answer:

f(6) = 16

Step-by-step explanation:

In the next steps we use this formula : f(n)=f(n-1)+2 

Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8

         f(2)=8 then f(3)=f(3-1)+2  = f(2)+2 = 8+2 = 10

         f(3)=10 then f(4)=f(4-1)+2  = f(3)+2 = 10+2 = 12

        f(4)=12 then f(5)=f(5-1)+2  = f(4)+2 = 12+2 = 14

        f(5)=14 then f(6)=f(5-1)+2  = f(4)+2 = 14+2 = 16.

The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below. (Look at picture)
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work?

(Please make answer simple yet reasonable. Thank you for answering, have a blessed day everyone! I am thankful to have people to help and support me.)

Answers

By using trigonometric relations we will see that the area is:

[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

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Answer:

the guy on top is correct

Step-by-step explanation:

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