The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.

Answers

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]

[tex]60.84 = 4.41 + {x}^{2} [/tex]

[tex] {x}^{2} = 60.84 - 4.41[/tex]

[tex] {x}^{2} = 56.43[/tex]

[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]

[tex]x = 7.5[/tex]

Therefore, the length of the missing side is 7.5 cm


Related Questions

(I am giving branlest) (plz help only if you understand )


Solve five ninths plus four sixths.

sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths

Answers

Answer:

hey mr. one eyed ghoul

Step-by-step explanation:

Out of 120 customers asked at a restaurant, 38 rounded their bill up to the next whole dollar and donated the difference to the local Children's Hospital. How many consecutive customers must round up the bills so that the percentage of people who donated increases to 50%?

A. 44 customers

B. 40 customers

C. 36 customers

D. 32 customers

Answers

Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.

A proportion is the number of desired outcomes divided by the number of total outcomes.

Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.

The desired proportion is 0.5, hence:

[tex]\frac{38 + x}{120 + x} = 0.5[/tex]

[tex]38 + x = 60 + 0.5x[/tex]

[tex]0.5x = 22[/tex]

[tex]x = \frac{22}{0.5}[/tex]

[tex]x = 44[/tex]

44 customers, so option A.

A similar problem is given at https://brainly.com/question/20571459


What is the key difference between simple interest and compound interest, and how does this difference affect the
effectiveness of each?

Answers

Answer:

the answer is

Step-by-step explanation:

The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest. The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan.

Name x1, x2, y1, and y2. Then, find the distance between the points.

Answers

Answer:

wwwwwwwwwwwwwwwwwwwwwwhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaatttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt what


Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions

(1/3) ² +1 and 2 - 8/9

(1+ 1/5)^2 and 2
16/25

Answers

Equations are expressions with equal values

(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

(a) (1/3) ² +1 and 2 - 8/9

Rewrite as:

[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]

Evaluate the exponent

[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]

Take LCM

[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]

[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]

Simplify

[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]

Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign

(b) (1+ 1/5)^2 and 2  16/25

Rewrite as:

[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]

Take LCM

[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]

Rewrite as:

[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]

Hence, (1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

Read more about equations at:

https://brainly.com/question/13636476

Answer:

(1/3)^2 + 1 and 2 - 8/9 : Yes

(1 + 1/5)^2 and 2 - 16/25 : No

Which of these situations can be represented by this graph?

Answers

Answer:

Step-by-step explanation:

Una chompa cuesta 112 bs ¿a como debo venderla para tener una ganancia de 15%?

Answers

Answer:

746

Step-by-step explanation:

112 dividir 15

Y por el resultado lo multiplicas x 100

y esas va ser tu respuesta

You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?

Answers

Answer:

Hi there, this is what I got but sorry if it is incorrect.

Hamburger Patties Package of 10 $15.50 Package of 8 $12.40

Hot Dogs Package of 12 $6.23 Package of 10 $4.99

Hamburger Buns Package of 8 $3.79 Package of 8 $3.55

Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55

Potato Salad Gallon $4.33 Gallon $5.55

Ice Cream Gallon $7.55 Gallon $6.99

Answer:

its )B

Step-by-step explanation:

This is a glucose molecule. How many hydrogen atoms are in a molecule of glucose? A) 10. B) 11. C) 12. D) 13

Answers

Answer:

12 for sure

Step-by-step explanation:

I just know

Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution





-2(x + 4) + 9x = 4 - 7x

Answers

The answer is x=6/7.

CAN SOMEONE PLEASE HELP ME WITH THIS

Answers

Answer:

i have no clue

Step-by-step explanation:

but you can look it up on brainly

Evaluate. 2 (14–32 +1) 1:3.-​

Answers

Answer:

432

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Solve each equation for the specified variable.

a. a-q=a+sx for x

b. kx-bf=fy/m for y

c. a-q=a+sx for q

d. kx-bf=fy/m for m

PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH

Answers

Answer:

a.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

[tex]\frac{-q}{s} = \frac{sx}{s}[/tex]

x = [tex]\frac{-q}{s}[/tex]

b.

kx - bf = [tex]\frac{fy}{m}[/tex]

m(kx - bf) = m([tex]\frac{fy}{m}[/tex])

mkx - mbf = fy

[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]

y = [tex]\frac{mkx - mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - mb

c.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

-q × (-1) = sx × (-1)

q = -sx

d.

kx - bf = [tex]\frac{fy}{m}[/tex]

m(kx - bf) = m([tex]\frac{fy}{m}[/tex])

m(kx - bf) = fy

[tex]\frac{m(kx - bf)}{kx - bf}[/tex] = [tex]\frac{fy}{kx - bf}[/tex]

m = [tex]\frac{fy}{kx - bf}[/tex]

Yes, but on this site, how can I make sure that this answer is correct or wrong, please, I don't know?

Answers

I think you forgot to add a bit of information
If you are referring to Brainly, there is not a completely effective way to do this, however members often rate each other’s answers. If an answer has multiple five stars, or was solved by someone with a credible ranking, it is more likely to be correct.

It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?
Make a Selection:
A. $2.00
B. $3.20
C. $1.60
D. $4.00

Answers

Answer:

D. 4.00

$4.00 will be your cost for meat for 20 sandwiches.

Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 floors and down 6 floors. What floor is Henry on?

Answers

Answer:

He is on the 5th floor

Step-by-step explanation:

9 - 2 = 7

7 + 4 = 11

11 - 6 = 5

Answer:

he goes 1 +9=10

10-2=8

8+4=12

12-6=6

so he is ont the sixth floor

what is 7:30 + 46 minutes

Answers

The answer would be 8:16

Kaylee needed to fold 586 paper notices for a fundraiser. The notices would be mailed in 22 days. Which expression gives the best estimate of the number of notices she must fold each day to meet her goal?

A.
500
÷
20
B.
500
÷
30
C.
600
÷
20
D.
600
÷
30

Answers

Answer: C

Step-by-step explanation: Round to the nearest 100

hiii i don’t understand help

Answers

Answer:

1/3³

Step-by-step explanation:

[tex] {3}^{2} \times {3}^{ - 5} \\ = {3}^{[2 + ( - 5)]} \\ = {3}^{ - 3} \\ = \frac{1}{ {3}^{3} } [/tex]

Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.

Answers

Answer:

17, 19 and 21

Step-by-step explanation:

17 + 19 + 21 = 57

. Bobignment In what year was the LAWMA Established-​

Answers

1977. All that took was a 3 second search...

Find one value of x for F(x)=-4

Answers

F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.

Ana is playing a quiz game and needs more than 500 points to advance to the next level. She earns 18 points for each correct answer loses 6 points foWhat is an inequality that represents all the possible combinations of c, the number of correct answers, and w, the number of incorrect answers that Ana can get and move to the next level?

Answers

if the words after " 6 points fo" is "r each incorrect answer" then the answer is

18c - 6w > 500

explanation:

if she answers one correct, she'll get 18 points, so if she gets 18 correct, she'll get 18c points, same goes for each she gets incorrect but loses 6 points is +-6w, or simplified, -6w

Evaluate 4c - 3
When c = -2

Answers

Answer:

-11

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

4*-2=-8

-8 -3=-5

Three business partners, Ren, Jaffary and Abel put money into a business in the ratio 2:3:4. From the profits they shared, Abel got 3400 dollars. How much did ren and Jaffary receive?

HELP GUYS PLS I HAVE 3 MIN TO GO

Answers

Answer:

Ren has 755.4

Jaffray has 1,133.1

Abel has 1,510.8

(-4) ⁴ what is the value of this expression

Answers

256 is the answer of this expression

Let f(x)= - 4x - 1 and g(x)=x² - 5
Find (fog)(-2).

Answers

[tex]f(x) = -4x-1\\\\g(x) = x^2 -5 \\\\g(-2) = (-2)^2 -5 = 4 -5 =-1\\\\(f \circ g)(-2)\\\\=f(g(-2))\\\\=f(-1)\\\\=-4(-1) -1 = 4-1=3[/tex]

y varies directly as x and x=20 when y=15. Find y when x=68

Answers

answer: when x=68, y = 51

Need help with this geometry question

Answers

The Answer Is Number 1

Answer:

The first option:yellow shirt, white trouseryellow shirt, black trousergreen shirt, white trousergreen shirt, black trouser

Step-by-step explanation:

To find the possibilities, you would see that you would have two yellow shirts and two green shirts with different trousers, so you can eliminate the bottom two. And because there will be two of each shirt with defferent trousers, it will be the same for trousers: two of each trouser will be in the possibilities. The only one that fits this description, is the first one.

yellow shirt, white trouser

yellow shirt, black trouser

green shirt, white trouser

green shirt, black trouser

Whats (c) ????????????? ????

Answers

Answer:

11

Step-by-step explanation:

yeah-ya............ right?

Check the picture below.

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