simplify (3x^2 y^5)^4

Given:

The base of an isosceles triangle is 16 cm long.

The equal sides are each 22 cm long.

To find:

The height of the triangle.

Solution:

We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Using Pythagoras theorem, we get

[tex]22^2=h^2+8^2[/tex]

[tex]484=h^2+64[/tex]

[tex]484-64=h^2[/tex]

[tex]420=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{420}=h[/tex]                  (Because side cannot be negative)

[tex]2\sqrt{105}=h[/tex]

Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.

Answer: 0.2308

Step-by-step explanation:

A new bag of golf tees contains 10 red tees,10 orange, 10 green tees, and 10 blue tees. You empty the tees into your golf bags.What is the probability of grabbing out two tees of the same color in a row for you and your partner?

# of ways to succeed:: 4(10C2) = 4*45 = 180 ways

# of random pairs:: 40C2 = 780

P(2 of same color) = 180/780 = 0.2308

Therefore your answer is 0.2308

I hope this helps! :)

Please mark brainlist to let me know if I'm correct!

Answer:

12

Step-by-step explanation:

if only EC is a diameter and DO is a radius

Answer:

D. The probability of selecting an orange is ³/₅.

Step-by-step explanation:

A is incorrect because there would be 4 apples combined (3 from bag one, 1 from bag two). That makes the chance of selecting an apple 2/5 (40%), not 3/10 (30%).

B & C are incorrect because 4/10 (40%) is less than 6/10 (60%)

That leaves D, which state that you have a 60% (3/5) chance selecting an orange, as our answer. That is correct as 3/5 = 6/10 = 60%.

Answer:

lower bound: 2.996

upper bound: 3.244

Step-by-step explanation:

The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.

The circumference is the perimeter of the circle.

Given, the circumference, C, at 405 mm to three significant numbers.

She correctly estimates the diameter, d, to be 130 mm to two significant numbers.

Helen wants to find the value of Pi using the formula pi=C/D

We have, the circumference of the circle = C = 405 mm

The diameter of the circle = d = 130 mm

Pi = C/D

= 405 mm / 130 mm

= 405 / 130

= 3.115

3.115, measured to the nearest 0.1.

The degree of accuracy is nearest 0.1.

0.1/2 = 0.05

Upper bound = 3.115 + 0.05 = 3.165

Lower bound = 3.115 - 0.05 = 3.065

Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.

To learn more about circumference, refer to the below link:

https://brainly.com/question/14717074

#SPJ5

Answer:

the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

Step-by-step explanation:

The computation of the cost of one package of chocolate chip cookie and one package of ginger bread is shown below:

Let us assume the package of chocolate chip cookie be x

And, the package of ginger bread is y

So,

According to the question

6x + 2y = $72

6x + 10y = $216

Now subtract equation 1 from equation 2

-8y = -144

y = $18

And, for x it would be

6x + $36 = $72

x = $6

Hence, the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

Answer:

no

Step-by-step explanation:

3x=-12

/3     /3

x=-4

:)

Answer:

B. (41,100)

Step-by-step explanation:

Midpoint:

[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{35+47}{2} ,\frac{78+122}{2} )\\\\(\frac{82}{2} ,\frac{200}{2} )\\\\(41,100)[/tex]

Answer:

[tex]-4[/tex]

Step-by-step explanation:

The formula for average rate of change (AROC) is:  [tex]\frac{f(b)-f(a)}{b-a}[/tex]

[tex]\frac{f(2)-f(0)}{2-0}[/tex] ⇒ [tex]\frac{-3-5}{2-0} =-4[/tex]

Answer:

Stephen gets £147

Step-by-step explanation:

Given

Let

[tex]S = Stephen; B = Bridget; R = Richard[/tex]

So:

[tex]S + B + R = 490[/tex]

[tex]R = 2S[/tex]

[tex]S = 3B[/tex]

Required

Find S

Make B the subject in [tex]S = 3B[/tex]

[tex]B = \frac{S}{3}[/tex]

Substitute: [tex]R = 2S[/tex] and [tex]B = \frac{S}{3}[/tex] in [tex]S + B + R = 490[/tex]

[tex]S + \frac{S}{3} + 2S = 490[/tex]

Take LCM

[tex]\frac{3S + S + 6S}{3}= 490[/tex]

[tex]\frac{10S}{3}= 490[/tex]

Solve for S

[tex]S = \frac{490 * 3}{10}[/tex]

[tex]S = 49 * 3[/tex]

[tex]S = 147[/tex]

Stephen gets £147

Answer:

The diameter would be 12.

Answer:

L³

Step-by-step explanation:

De la pregunta anterior se nos dice que el diámetro del virus esférico

= 50 - 140 millas náuticas

Radio = 50 - 140 nm / 2

= 25 - 70 millas náuticas

El volumen de una esfera es

= 4/3 πr³

Usando el análisis dimensional

4/3 = constante

π = constante

[r] = Dimensión de longitud = L

Por lo tanto, la dimensión del volumen de la esfera = L³

Answer:

26

Step-by-step explanation:

Use the Pythagorean Theorem.

c^2 = a^2 + b^2

a = 10

b = 24

c = ?

c^2 = 10^2 + 24^2

c^2 = 100 + 576

c^2 = 676

sqrt(c^2) = sqrt(676)

c = 26

Answer:

left side = 23.7

right side = 3.6

Step-by-step explanation:

Answer:

Jailyn and her 3 friends will each receive 1/8 of the original pizza.

Step-by-step explanation:

Given that Jailyn has ½ of a pizza left over and she is sharing that with 3 friends, it means that the left over will be divided in 4 pieces and you have to divide 1/2 by 4 to find the fraction of the original pizza that Jailyn and her 3 friends will each receive:

[tex]\frac{1}{2}[/tex]÷4= [tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex] = [tex]\frac{1*1}{2*4}[/tex] = [tex]\frac{1}{8}[/tex]

According to this, the answer is that Jailyn and her 3 friends will each receive 1/8 of the original pizza.

Answer:

332

Step-by-step explanation:

332

Answer:

Hello! Your answer would be,  = 1020.5

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

m = 3

Step-by-step explanation:

Notice how x increases by 6 from 3 to 9.  6 is the 'rise.'

Simultaneously, y increases by 2 from -9 to -7.  2 is the 'run.'

The slope, m, is defined as m = rise / run.

Here, m = 6/2, or m = 3

Answer:

Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81  i don;t know

Step-by-step explanation:

Answer:

A BETWEEN 0 AND 12 B BETWEEN 0 AND 1 C BETWEEN 0 AND 10 C BETWEEN 0 AND 100

Step-by-step explanation:

is this math or...?

Given:

The given limit problem is:

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}[/tex]

To find:

The value of the given limit problem.

Solution:

We have,

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}[/tex]

In can be written as:

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}=\lim_{x\to 0}\dfrac{x^2}{x^4}+\dfrac{3}{x^4}[/tex]

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}=\lim_{x\to 0}\dfrac{1}{x^2}+\dfrac{3}{x^4}[/tex]

After applying limits, we get

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}=\dfrac{1}{0^2}+\dfrac{3}{0^4}[/tex]

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}=\infty+\infty[/tex]

[tex]\lim_{x\to 0}\dfrac{x^2+3}{x^4}=\infty[/tex]

Therefore, the value of the given limit problem is [tex]\infty[/tex].

Answer:

Your answer is B

Step-by-step explanation:

Count down 4 points from B on the graph and count 1 over until you reach C which is down 4 over 1

Answer:

A and C are the correct answers

Step-by-step explanation:

Answer:

c, a

Step-by-step explanation:

c, a is TRUE.

i hope that is correct

there are still 10 fish.

Answer:

he will have ascended 16.28 ft

Step-by-step explanation:

.74x22=16.28

Answer:3

Step-by-step explanation:

Answer:

There should be about 612 girls

Step-by-step explanation:

350 divided by 4 = 87.5

87.5 x 7 = 612.5

round 612.5 down, which gets 612