A triangle has a base of x^1/2 m and a height if x^3/4 m. If the area of the triangle is 16m^2, what are the base and height of the triangle?

Answers

Answer 1

Answer:

Base = 4 m

Height = 8 m

Step-by-step explanation:

For triangle:

[tex]Base\: (b) = x^{\frac{1}{2}}\: m\\\\Height \:(h) = x^{\frac{3}{4}}\: m\\\\ A(\triangle)= 16\:m^2\\\\A(\triangle)= {\frac{1}{2}}(b)(h)\\\\\implies 16=\frac{1}{2}(x^{\frac{1}{2}})(x^{\frac{3}{4}})\\\\\implies 32= (x^{\frac{2}{4}})(x^{\frac{3}{4}})\\\\\implies 2^5=x^{\frac{3+2}{4}}\\\\\implies 2^5=x^{\frac{5}{4}}\\\\\implies 2=x^{\frac{1}{4}}\\\\\implies 2^4=x\\\\\implies x=16\:m[/tex]

[tex]Base\: (b) = x^{\frac{1}{2}}={16}^{\frac{1}{2}}={(4^2)}^{\frac{1}{2}}=4\: m[/tex]

[tex] Height\: (h) = x^{\frac{3}{4}}={16}^{\frac{3}{4}}={(2^4)}^{\frac{3}{4}}=(2)^3=8\: m[/tex]


Related Questions

In your own words, describe the axes of the coordinate plane.

Answers

Answer:

The x-axis is always the the horizontal axis which represents the independent variable

The y-axis is always the vertical axis which represents the dependent variable

Hope this helps!

Answer:

I am only answering this so you can give the other girl brainliest.

Step-by-step explanation:



What is the missing numerator? 2/7=n/21

Answers

Answer:

6

Step-by-step explanation:

7n = 2 × 21

n = 2 × 3

n = 6

the missing number is 6, you multiply 2 by 3 since 7 was multiplied by 3

What is the slope of the line that contains these points?
xxx 555 666 777 888
yyy -5−5minus, 5 -6−6minus, 6 -7−7minus, 7 -8−8minus, 8

Answers

Answer:i tink its D) - 4/3

Step-by-step explanation:

im bad at mat, so im sorry if im wron

Answer:a

Step-by-step explanation:

a

Which equation is true when the value of X is -12?

A. 1/2x +22= 20

b 15 - (1/2)x=21

c 11- 2x= 17

d 3x- 19= -17​

Answers

Answer: B is right

Step-by-step explanation: Check the file for steps

Help plssss:) I need a complete answer

Answers

[tex]\bold{ANSWER:}[/tex]

(2 , 1)

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

b is the correct answer

have a good day and I hope this helps :D

if you need more detailed answer just tell me


If a coin is tossed, a die is rolled, and a candy is taken from
of 14 candies, 7 of which are red, what
8 the probability of getting a red candy, a heads, and an odd number on the die?

Answers

Answer:

Step-by-step explanation:

There are two sides of a coin which means that the profanity of getting one side of the coin is ½.

There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.

There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.

Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.

So it will be, ½×½×½=⅛

Which of these inequalities is true?
A. 3V3 < V32 < 412
B. 412 < V32 < 3V3
C. 3V5< 154 < 5V3
D. 513 < V54 < 3V5

Answers

C i’m pretty sure i just took the thing

Carla spent $2. 70 to make prints of 9 photos. Mrs. Wilson spent $22. 50 to make prints of photos at the same price per print. How many prints did Mrs. Wilson make

Answers

Answer:

75

Step-by-step explanation:

9 divided by 2.70 = 3.33333333333

22.50 times 3.33333333333 = 75

hope that this helped :)

Answer:

75 prints

Step-by-step explanation:

22.5/0.3 because 2.70/9 is 0.3 then 22.5/0.3 then you'll get the answer

i just need to know how to do it im just to lazy to look it up

Answers

Answer:

x = 3

s = 11

z = 14

y = 2

Let me know if you need an explanation for this, I would be happy to help :)

Answer:

1. x = 3

2. s = 11

3. z = 14

4. y = 2

Step-by-step explanation:

1. x + 9 = 12

12 - 9 = x

⇒ x = 3

2. s - 1 = 10

10 + 1 = s

⇒ s = 11

3. 3 = z - 11

z - 11 = 3

11 + 3 = z

⇒ z = 14

4. 5 + y = 7

7 - 5 = y

⇒ y = 2

Monica is a professional musician who practices clarinet for the same amount of
time every day. After she practices clarinet for 45 min on Wednesday, she has
finished 18% of her daily clarinet practice. How many more minutes does Monica
practice clarinet on Wednesday? Show your work.

Answers

Answer:

205 minutes

Step-by-step explanation:

If Monica has already practiced 18% of her time, we know that she has practiced [tex]\frac{18}{100}[/tex]. If this 18% corresponds to 45 min, we can have the following equation: [tex]\frac{18}{100} = \frac{45}{x}[/tex]. We can rearrange the equation to find the value of x by doing [tex]x = \frac{45 \cdot 100}{18} = 250[/tex], so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.

Hayden is building a fort. How much space will he have inside his fort. The fort is 8in by 3in

Answers

Answer:

24sq in

Step-by-step explanation:

L x W = x

8 x 3 = x

24 = x

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


3√(8) – 3√(16)

Answers

[tex]3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)[/tex]

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?

Use 3.14 to approximate pi.

Answers

Answer:

Circumference shares the same concept with perimeter.

First, let's use the formula for the circumference of a full circle.

C = 2πr

Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.

or

C = πd

Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.

But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.

For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.

So the 'd' in the formula will be 'r'.

Now, let's find the radius.

D/2 = R

So,

35/2 = 17.5

Use this in our formula:-

C = πr

C = 3.14(17.5)

C = 54.95 inches.

Rewrite the expression 2(3 - 4k) as a difference. Show your work.

Answers

Answer:

Step-by-step explanation:

Use Distributive Property: a*(b  -c) = a*b - a*c

2(3 -4k) = 2*3 - 2*4k

             = 6 - 8k

WHOEVER RESPONDS FIRST WILL BE MARKED BEST
A cube numbered from 1 through 6 is rolled 200 times. The number 3 lands face-up on the cube 80 times. What is the experimental probability of 3
landing face-up on the cube?

Answers

Answer:

.4

Step-by-step explanation:

Ex prob is the rsults you obtained in your exp

80/200 = .4

Is (4, 5) a solution to this system of inequalities?
y < 10x + 7
y x+1
yes
no

Answers

Answer:

Yes

Step-by-step explanation:

Please help with this question
Trignometry.​

Answers

Answer attached!!

Step-by-step explanation:

Hope it helps you!!

There are 180 days in a school year. If your
teacher says you have completed 65% of the
school year, how many days do you have left
of school?

Answers

Answer:

you need to multiple or add if you multiple your answer is 1080 and if you add your answer is 240 am I correct see for yourself

The sum of two rational numbers will always be:

A.) rational
B.) irrational
C.) an integer

Answers

Answer:

c

Step-by-step explanation:

x is an acute angle. Find the value of x in degrees. sin (x)= 0.8​

Answers

[tex]\bold{ANSWER:}[/tex]

60 Degrees

[tex]\bold{EXPLANATIONS:}[/tex]

i cant work this one out, help please

Answers

Answer:

a = 8 2/3.

Step-by-step explanation:

The y coordinate of the point is 5, andthe x coordinate is a so substituting for these in the given equation:

3a - 4(5) = 6

3a  - 20 = 6

3a = 26

a = 26/3

= 8 2/3

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

here , we've been given a point with coordinates ( a , 5 ) and an equation ( 3x - 4y = 6 ).

To determine - the value of a

Coordinate geometry deals with parameters related to points over cartesian plane , where a points , say G , has two coordinates x and y.

the coordinates are written as ( x , y ) , where x is the x coordinate or abcissa and y is the y coordinate or ordinate.

for getting the solution to the question asked , let us think of x as a and y as 5.

Now ,

substituting the values of x and y in the equation ,

[tex]3x - 4y = 6 \\ \implies \: 3(a) - 4(5) = 6 \\ \implies \: 3a - 2 = 6 \\ \implies \: 3a = 6 + 20 \\ \implies \: 3a = 26 \\ \implies \: a = \frac{26}{3} [/tex]

let's once check , if we've arrived at the correct result or no.

This can be done , by putting value of x as [tex]\frac{26}{3}\\[/tex] which is the value of a.

So ,

[tex]3x - 4y = 6 \\ \\ \implies \: \cancel3 (\frac{26}{\cancel3} ) - 4(5) = 6\\ \\ \implies26 - 20 = 6 \\ \\ \implies \: 6 = 6[/tex]

hence , verified !

Therefore ,

[tex]\bold\red{a = \frac{26}{3} }\\ [/tex]

hope helpful :D

HELP!!!!!
what is the measure, in degrees, of angle b?

Answers

Answer:

x=20⁰

Step-by-step explanation:

Since they are vertically opposite angles

x+20⁰=40⁰

---------

| x=20⁰ |

--------

To the nearest hundredth, what is the value of X?
Please help

Answers

Step-by-step explanation:

cos50 = x/53

0.64 = x/53

x = 0.64×53

= 33.92

What range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g.What is te relative percent precision of these weights

Answers

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

What is analytical balance?

The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.

Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.

For the positive number, the value will be 0.2100 gFor the negative number, the value will be 0.1900 g.

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

Learn more about the analytical balance here:

https://brainly.com/question/17119679

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Identify the vertex of the function, F(x) =3(x-1)2 + 5.

Answers

Answer:

f

(

x

)

=

3

(

x

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

The graph of a function is a transformation of the graph of its parent function in which the graph is

vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|

Answers

Answer:

answers are b,c and e.

have a nice day

Answer:

b, c, and e

Step-by-step explanation:


A survey found that 3 out of 4 students bring lunch from home. Based
on the survey, predict the number of students in a class of 100 who bring
Lunch from home.

Answers

Answer:

75

Step-by-step explanation:

3 out of 4 students is 75 percent of the students (100÷4=25, 25x3=75)75 percent of 100 is 75 students

The letters in the word MATHEMATICIAN were put in a box. What is the chance of getting letter A?​

Answers

Answer:

3/13

Step-by-step explanation:

There are a total of 13 letters in the word and 3 of them are A’s so 3/13 is the probability of getting an A.

The probability of getting the letter A is given by P ( A ) = 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting the letter A be P ( A )

Now , the word is given as S = { "MATHEMATICIAN " }

The number of letters in the word S = 13 letters

The number of letter A in the word = 3 A's

So , probability of getting the letter A , P ( A ) = number of letter A in the word / number of letters in the word S

On simplifying , we get

The probability of getting the letter A , P ( A ) = 3/13

Hence , the probability is 3/13

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

HELP ME PLEASE!!!!!!!!

Answers

Answer:

I think th answer is either 1753 or 17

17 is the answer i think
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