Find the missing length indicated. Leave your answer in simplest radical form.
Please help! Thank you!

Find The Missing Length Indicated. Leave Your Answer In Simplest Radical Form.Please Help! Thank You!

Answers

Answer 1

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   [tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]

   56x = (18√14)²

   56x = 4536

   x = [tex]\frac{4536}{56}[/tex]

   x = 81

2). By applying geometric mean theorem,

    [tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]

    16x = (8√21)²

    16x = 1344

    x = [tex]\frac{1344}{16}[/tex]

   x = 84


Related Questions

b) Calculate the area of the trapezium
5.2cm
Not drawn accurately
6cm
4.5cm
10.8cm

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Height ( h ) = 4.5 cmBase 1 ( b ) = 5.2 cmBase 2 ( b ) = 10.8 cm

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Area of the given trapezium

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]

Plug the known values and then simplify !

⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]

⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]

⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Find 110.9% of 419.Round to the nearest hundredth.

Answers

start by dividing 419 by 100. then multiply by 110.9. that’ll give you 464.671 then round to the hundredth which is 464.67.

Answer:

400

Step-by-step explanation:

When you are rounding to the nearest hundred you  

You round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Then, round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then you don't have to do any rounding, because it is already to the hundred.

a garden contains 135 flowers, each of which is either red or yellow. there are 3 beds of yellow flowers and 3 beds of red flowers. there are 30 yellow flowers in each yellow flower bed.
Part A: if r represents the number of flowers in each red flower bed, what equation could you use to represent the number of red and yellow flowers.

Answers

Answer:

135 = 3y + 3r

y = 30; r = 15

Step-by-step explanation:

y = 3y + 3r

Where,

y = total number of flowers in the garden = 135

y = number of flowers in each yellow flower bed = 30

r = number of flowers in each red flower bed

135 = 3(30) + 3r

135 = 90 + 3r

135 - 90 = 3r

45 = 3r

r = 45/3

r = 15 flowers

number of flowers in each red flower bed = 15

Which expressions are solutions to the equation 3/4x=15

Answers

Answer:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20


Please help! Will make brainliest !!

Answers

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Find the measure of angle ACB

Answers

Answer:

ACB = 87 degrees

——————87 I believe sry if wroung

Box of rice contains 8 1/3 cups of rice. how many 1/3- cup servings of rice are in the box

Answers

so in every 1 cup of rice, there’s 3 one third servings of rice. so, since there are 8 1/3 cups of rice, you would do (8 cups) x (3 servings) = 24 servings. then, you would just add 1/3 to the 24 servings and you would get 25 servings. does that make sense?

Which solution set makes the inequality 7 > * TRUE?

Answers

Answer:

B

Step-by-step explanation:

7 > x  means what numbers are less than 7

A  and C are not correct because 7 = 7 is not less than 7

B is correct because 7 > -2, and 7 > 0

D is not correct because 8, 10, 20 are more than 7

Which is the graph of y=3/4 x -3?

Answers

It would be graph A.

Answer:

graph A.

Step-by-step explanation:

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

An ant walk around a piece of a leaf that is in the shape of a right triangle. What is the total distance the ant traveled?

Answers

Is their any more information to the question?

Answer pls quick I don’t have enough time

Answers

hey there ..

plz show the graph also ..

The point 0,0 shows that the blue and red paint are equal, so it will be the shade purple! While the 3,9 point shows that 9 liters are needed for every 3 liter of blue paint! Soo, The point 0,0 is correct as it shows equal amount!

Your grandfather tells you that he has four coins in his pocket. He has no pennies, and no coin is worth more than a quarter. Calculate all the possible amounts. If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, what is your guess ? Include all combinations in your answer, but include each combination only once be sure to indicate what your guess is.

Answers

Answer:

20 cents

Step-by-step explanation:

Possible coins in grandfather's pocket include : nickel, dime, quarter

A nickel = 5 cents

A dime = 10 cents

A quarter = 25 cents

First combination= nickel+dime+quarter+quarter

Second combination=nickel+quarter+quarter+quarter=

Third combination= dime+quarter+quarter+quarter

Third combination=quarter+quarter+quarter+quarter

4th combination = nickel + nickel+dime+quarter

5th combination= nickel +nickel+nickel+dime

6th combination =nickel+nickel+nickel+quarter

7th combination= nickel + nickel + nickel +nickel

8th combination = dime + dime +quarter +nickel

9th combination = dime +dime+dime+quarter

10th combination =dime+dime+dime+nickel

11th combination=dime+dime+dime+dime

If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents

I really need help with this question

Answers

Answer:

19

Step-by-step explanation:

1.25 is the answer

I’m 100% sure

How do you get from 4 to 4/3

Answers

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

Lesson 3.4 different forms of liner
Equation
How do you solve it?

Y=2+3(×-1)

Answers

What are you trying to solve for?

3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants

Answers

The answer to the question is CC

Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..

Answers

Answer:

a)  Эx ∈ R   ⊇  x³ = 2

b) ∀x ∈ R, x² ≥ 0

c)  Эx ∈ R   ⊇  x³ = x

d) ∀x ∈ R, x ≤ x²

Step-by-step explanation:

Given the data in the question;

let us first go through some symbols and their possible meanings;

Э  ⇒ there exists

∀ ⇒ for all

∈ ⇒ belongs to or set membership or element of the set

⊇ ⇒ such that

now;

a) There is a number whose cube is equal to 2

let x represent the number; so

Эx ∈ R   ⊇  x³ = 2

b) The square of every number is at least 0

x² ≥ 0, ∀x ∈ R

∀x ∈ R, x² ≥ 0

c) There is a number that is equal to its square

Эx ∈ R   ⊇  x³ = x

d) Every number is less than or equal to its square.

x ≤ x², ∀x ∈ R

∀x ∈ R, x ≤ x²

How many times does 3 4 go into 6 ?

Answers

Answer:

8

Step-by-step explanation:

Answer:

8 is the correct answer.

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate

Answers

Answer:

d

Step-by-step explanation:

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

-3x - 4y = 4
-5.2 +y = 2
Is (2, 10) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his
sister runs after him with his lunch, averaging 6 mi/h.b. Solve the system
to determine how much time it took Ray's sister to catch up to him.
Your answer

Answers

Answer:

Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

Step-by-step explanation:

The computation of the time taken is as follows:

Let us assume the Ray time be t

So his sister time would be t - 10

Since Ray distance is 2t

So his sister distance is 6(t - 10) = 6t - 60

As the distance is the same

So, the following equation must be made    

2t = 6t - 60

 -4t = -60

t = 15

Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

 

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

In gym class, the sixth graders walk 3 laps for every 2 laps they run. If the students run 6 laps, how many laps will they walk?
(p.s whoever types it fast and correct i will friend you. i like to do these brain stretches for people to have fun :D

Answers

Answer:

They walk 9 laps

Step-by-step explanation:

If the run for 6 laps you need to multiply how many times they walked when they ran for 2 laps by 3 (3*3) which should give you 9

Answer:

5

Step-by-step explanation:

pythagorean theorem. and I need to calculate the missing sides. If possible I would like an explanation but an answer is also fine.​

Answers

Answer:

Step-by-step explanation:

To calculate the missing sides square the  side length of the legs of the  triangles(  the lines that form a 90 degree angle) then add them together, then take the sqr root of that to find the hypotunse( the slanted side). In simplier terms, here how it look.

[tex]a^{2}+b^{2} =c^{2}[/tex]

where a and b are the legs, and c is the hypotunese.   For example, Ill do 3. The bases are 22, and 11 so plug them in the equations.

[tex]a^{2}+b^{2} =c^{2}[/tex]

11^2+22^2=c^2

121+484=c^2

605=c^2

c=about 24.6

This 3rd and 2nd grade lvl paper

Answers

Answer:

This is the

Step-by-step explanation:

This is te changes of the eart

Across

2: Transpiration

3: Atmosphere

5: Potential

6: Precipitation

7: Condensation

Down

1: Evaporation

4: Condensation

Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?

Answers

Answer:

20 percent left

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Fido and Jet are two medium size dogs. Fido weighs exactly 15 pounds​ less than Jet. Together, they weigh exactly 89 pounds.​

Answers

Answer:

jet weighs 74 pound

Step-by-step explanation:

Students running a food drive have collected their goal amount of canned goods. Over the weekend, volunteers collect an additional 18% of the goal. Write an expression to represent the total percentage of their goal collected in two different ways.

Answers

Answer:

[tex]Expression = x + 18x\%[/tex]

[tex]Expression = 1.18x[/tex]

Step-by-step explanation:

Given

Represent their goal with x

Additional = 18%

Required

Write two expressions to describe the total percentage

The expression is derived using:

[tex]Expression = Goal + Additional[/tex]

This gives:

[tex]Expression = x + 18\% * x[/tex]

[tex]Expression = x + 18x\%[/tex]

Solving further (Express percentage as decimal)

[tex]Expression = x + 0.18x[/tex]

[tex]Expression = 1.18x[/tex]

What is the standard algorithm

Answers

In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems
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