Square a root of 32761 by division method

Answer:10.5

Step-by-step explanation: I hope this helps

The height, x, of the right trapezoidal prism is 10.5 ft.

Given that, the volume of this right trapezoidal prism is 341.25 ft³.

We need to find the height x, of the prism.

The formula to find the volume of this right trapezoidal prism is Volume=BH.

Where B=Area of the Base and H=Height.

Area of the Base(Trapezium)=1/2(a+b)×h

Where a and b are parallel sides of the trapezium and h= height of the trapezium.

Now, the area of the Base=1/2(8+5)×5=32.5 ft²

The volume of the right trapezoidal prism=32.5×x

⇒341.25=32.5×H

⇒x=10.5 ft

Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.

To learn more about the volume of the right trapezoidal prism visit:

https://brainly.com/question/27206909.

#SPJ2

Step-by-step explanation:

sp = mp-d%*mp

= $25-60/100*$25

=$10

now the price of an item is $10.

Answer:

8 squared units

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

Rectangle:

To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units

Triangle:

To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.

Base= 2 units(since it is a rectangle, the opposite side is the same length)

Height = 2 units

Next, we plug it in to this formula: 1/2 bh (b = base and h = height)

multiplying by one half is the same as dividing by 2

The area of the triangle is 2 x 2 = 4

4 divided by 2 = 2 squared units

For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)

Answer:

D

Step-by-step explanation:

as shown, the angles are equal. You can assume that x also follows that rule.

Answer:

994

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

Given the expression

[tex](8+t)^{3}-6[/tex]

Also given

[tex]t=2[/tex]

We can substitute 2 for t.

[tex](8+2)^{3}-6[/tex]

Do the parenthesis first.

[tex]8+2=10[/tex]

Therefore

[tex]10^{3}-6[/tex]

Evaluate [tex]10^{3}[/tex]

[tex]10^{3}=1000[/tex]

[tex]1000-6=994[/tex]

Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

It states that, for a normally distributed random variable:

In this problem, we have that:

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Answer:

618

Step-by-step explanation:

half means you divide by 2.

so 1,236/2=618

hope this helps

Answer:

618 oysters

Step-by-step explanation:

Given :

Solving :

Answer:

there are no solutions

There are total 6

Look at the attachment for proof

If we join all three diagonals we get 6 equilateral triangle

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .

Answer:

[tex]-7\dfrac12[/tex]

Step by step explanation:

[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]

Zeros are

Write in factor form and solve

Points given (-2,16)

Solve for n

On solving we get

So the function is

Answer:

-4x³ - 28x²- 48x

Explanation:

→ so equation: a(x+4)(x+3)(x+0)

→ substitute these points to find a

so the graphed cubic equation:

Answer:

(26 points for an answer... but anywho...)

Step-by-step explanation:

Hot air balloon: (20E, 10N)

Plane: (20E, 20S)

Whale: (10E, 20N)

Ship: (20W ,10S)

Bridge: (10W ,20S)

Truck: (15W, 20N)

I hoope this helps :)

Answer:

i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.

Step-by-step explanation:

Hot air balloon (20,10)

Plane (20,20)

whale(10,20)

ship (20,10)

bridge (10,20)

truck(15,20)

Answer:

y = − x + 7

Step-by-step explanation:

let D be the line that passes through the points (5, 2) and (10, -3) 

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then 

p = 2 + 5 

  = 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

[tex]D : y = -x + 7[/tex]

Answer:

it looks like a triangle but it is not it is called a Nonigon

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

Step-by-step explanation:

[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]

x = 63.9°

Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

Answer:

yessir

Step-by-step explanation:

Answer:

slope c =1

Step-by-step explanation:

slope for line (y2-y1)/(x2-x1)

slope of line a = (-3-3)/(3-(-3))

slope of  line a = -6/6 = -1

if line c is perpendicular to line a, so relationship for slops are

(slope a) *(slope c)= -1

(-1)*(slope c) = -1

slope c =1

Answer:

mc = 1

Step-by-step explanation:

10 green cubes and 6 yellow cubes

hope it helps...!!!

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

No

To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.

Since 4 ≠ 5, the lines are not parallel.

Answer:

No, the lines are not parallel.

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, find the slopes of both lines and compare.  

Slope formula

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

Line AB

A = (0, 6)

B = (8, 0)

[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]

Line CD

C = (-3, 4)

D = (0, 2)

[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]

As the slopes of the 2 lines are different, the lines are not parallel.

Answer:

y=−4+2√5(−x−7)

y=−4−2√5(−x−7)

Answer:

2 feet of cord

Step-by-step explanation:

Hey there!

In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards

It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard

To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard

So Akeelah needs 2 feet of cord to make one lanyard

Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

So

[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]

[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]

[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]

Done

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .

25.46 ft

To find the vertical stripe of the kite,we'll use this formula

where,

Inserting the value of 'a' ( 18ft) in the formula,

we get,

hence , the length of the vertical stripe of the given square kite = 25.46 ft

Answer:

C. 648 in.

Step-by-step explanation: