Find the surface area of a triangular prism

Answer:

6√2w

Step-by-step explanation:

3√8w - 3√216w + 3√216w

6√2w -18√6w +18√6w

6√2w +0

6√2w

Answer:

4.39e-7

Step-by-step explanation:

Answer:

A. 19.96.

I originally got: x = 19.957458 which I round up and got 19.96.

Answer:

  7.50

Step-by-step explanation:

To evaluate an expression for particular values of the variables, put those variable values in place of the corresponding variable and evaluate the resulting numerical expression according to the Order of Operations.

  [tex]2x^2 +\dfrac{y^2}{3}\qquad\text{for x=1.5 and y=3}\\\\=2(1.5)^2+\dfrac{3^2}{3}\\\\=2(2.25)+\dfrac{9}{3}=4.50+3=\boxed{7.50}[/tex]

Answer:

7.50 (nearest hundredth)

Step-by-step explanation:

General form of geometric progression:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

Given progression:

[tex]5\left(\dfrac13\right)^{n-1}[/tex]

Therefore:

Sum of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{(1-r)}[/tex]

Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:

[tex]\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}[/tex]

[tex]\implies S_{10}=7.499873987...[/tex]

[tex]\implies S_{10}=7.50 \textsf{ (nearest hundredth)}[/tex]

Answer:

41

Step-by-step explanation:

a^2 + b ^2 =c^2

9^2 + 40^2 = c^2

81+ 1600 = c^2

1681= c^2

[tex]\sqrt{1681[/tex] = [tex]\sqrt{c^{2}[/tex]

41 = c

Answer:

How Can I answer this

Step-by-step explanation:

Read the example over and over again until u get it

Answer:

1978 ft (nearest foot)

Step-by-step explanation:

Using the Alternate Interior Angles theorem, we can deduce that the left base angle of the triangle is 32° and the right base angle of the triangle is 23°.

The triangle can be divided into 2 right triangles, both with height of 500ft (see attached diagram).

Using the tan trig ratio, we can calculate the base of each triangle.

[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]

where:

Left triangle

let [tex]x[/tex] = the base length

[tex]\implies \tan(32)=\dfrac{500}{x}[/tex]

[tex]\implies x=\dfrac{500}{\tan(32)}[/tex]

Right triangle

let [tex]y[/tex] = the base length

[tex]\implies \tan(23)=\dfrac{500}{y}[/tex]

[tex]\implies y=\dfrac{500}{\tan(23)}[/tex]

To find the distance between the Soldier Field and Adler Planetarium, simply sum [tex]x[/tex] and [tex]y[/tex]:

[tex]\implies \dfrac{500}{\tan(32)}+\dfrac{500}{\tan(23)}=1978.093447...[/tex]

Therefore, the distance is 1978 ft (nearest foot)

Step-by-step explanation:

Since the ball is going upwards, then down, we have a parabola.

In the form of

[tex] - {x}^{2} + bx + c = 0[/tex]

The leading coeffeicent is negative because we are increasing then decreasing.

Let use t for seconds and h is height.

So we have a function

[tex]h(t) = - {t}^{2} + b(t) + c[/tex]

Since I'm have no information: I'm use calculus and physics to solve this.

All objects fall at the speed of

[tex] - 9.8 \frac{m}{ {s}^{2} } [/tex]

Which is the unit for acclereation.

Since we have are trying to a poisition versus time function, note that the anti derivative of acclereation will give us velocity. So let calculate that

[tex] \frac{d}{dx} (a) = - 9.8x[/tex]

Then note that the anti derivative of velocity is poistion.

[tex] \frac{d}{dx} (v) = - 4.9 {x}^{2} [/tex]

So we know our leading coeffeicent, is -4.9x^2.

The ball is initially launched at a speed of 15 m/s. So the first derivative of the function at x=0, should be 15.

[tex] \frac{d}{dx} (x) = - 4.9 {x}^{2} + bx[/tex]

[tex]v = - 9.8x + b[/tex]

Since 0 times anything is 0, b must be 15 in order to have a first derivative of 15.

Since 0,1 is the y intercept, c will be 1.

So our answer is

[tex] - 4.9 {x}^{2} + 15x + 1 = 0[/tex]

b). When x=1, we get a height of 11.1. Plug in 1 into the function, and we get 11.1

c). Set the function equal to zero and use quadratic formula to solve. You will get 3.13 seconds.

d. The max occurs when the velocity is 0. So we can first differentiate the function, which we will get

[tex] - 9.8x + 15 = 0[/tex]

Then we solve for x.

We get 1.5 seconds. Then plug in 1.5 into the function, we get 12.5. So the max height is 12.5 and this occurs at 1.5 seconds.

e).

Answer:

C (14 aq units)

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

Base = MY = 4 UNITS

Height = AM = 7 UNITS

Area = 4 x 7 x 1/2 = 14

Answer:

Area=1/2×base×height

But base=4 units and height=7 units

So the area is

1/2×4×7

which is 14 sq units

Answer:

All the boxes together weigh 2 2/5 lb

Step-by-step explanation:

3/5 + 3/5 + 3/5 + 3/5

= 6/5 + 6/5

= 12/5

= 2 2/5

Have a good day!

Answer:

3 pounds.

Step-by-step explanation:

I also want to say you know what's funny Raj is my initials my name is Rileigh andrew johnson. But anyway 3 pounds.

Because times 3 by 5=15 so our fraction is now 15/5

And now wil times 5 tintil we get to 15 for our whole number so 5 x 3 =15 so 3 is our whole number/ our answer 3 pounds.

I hope this helps have a awesome day  

Answer:$0.81675

55/1000*$14.85=$0.81675

Step-by-step explanation:

Answer:

[tex]10 \div \frac{3}{7} \times \frac{4}{7} [/tex]

[tex]10 \times \frac{7}{3} \times \frac{4}{7} [/tex]

40/3

13.33 min

Answer:

5.5

Step-by-step explanation:

B is the midpoint of AC, D is the midpoint of CE

This means that CE = 1/2 AE

CD = 1/2 ( 11)

CD = 5.5

Answer:

My bid was $42 less than the winning bid.

Step-by-step explanation:

The winning bid is x.

$28 is 40% of x

0.4x = 28

x = 28/0.4

x = 70

The winning bid was $70.

$70 - $28 = $42

Answer: My bid was $42 less than the winning bid.

Answer:

Equation: y = -0.5x + 9.5.

Answer:

-0.5 or -1/2

Step-by-step explanation:

The formula to find the slope of a line given two points if [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the slope is -0.5 or -1/2.

Answer: A

Step-by-step explanation:

To construct equilateral triangle in a circle F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E. The correct answer is option A.

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its center and radius, respectively.

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius of the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ5

Answer:

Unclear.

To find the perimeter you need all three sides of the triangle. You have only given two.

All you need to do is add up all three sides and you have your perimeter.

Formula: P=a+b+c

Answer:

Unknown unless you give the amount of cm for the last side

Answer:

21

Step-by-step explanation:

2c + 3a

= 2(6) + 3(3)

= 12 + 9

= 21

I would say that statistics is a mathematical subject that allows you to explain scientific data. In a similar fashion, you could use mathematics to explain the various idea in physics as you can use statistics to interpret the results of experiments and the data collected.

Hope that helped!

Answers:

A) 2,600 cubes (13 x 40 x 5 = 2,600)

B) 6,600 cubes (11 x 20 x 30 = 6,600)

C) Boxes A and C or boxes B and C

D) 11,200 cubes (13 x 40 x 5) + (11 x 20 x 30) + (8 x 10 x 25) = 11,200

Answer:

80

Step-by-step explanation:

After spending some time arranging the numbers in order, we get the sequential order as 8, 11, 23, 32, 34, 58, 58, 66, 83, 88.

Next, we need to find the range. The Range of a data set is the difference between the largest and smallest number.

Answer:

[tex] \pink{ \rm{SOLUTION:-}}[/tex]

[tex] \pink{ \rm{Here,}}[/tex]

[tex]\boxed{162}[/tex] can be a perfect square if the factor [tex]\boxed{2}[/tex] is a paired.

Hence,[tex]\boxed{162×2}[/tex],will be a perfect square.

[tex]: \implies{324 = {3}^{2} \times {3}^{2} \times {2}^{2} }[/tex]

Hence,the square root is [tex]3×3×2,i.e. 18[/tex]

[tex]{\rm{162 \: must \: be \: multiplied \: by \: 2 \: to \: make \: it \: a \: perfect \: square.}}[/tex]

Answer:

2

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \sqrt{162}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{2\times 3\times 3\times 3\times 3}[/tex]

Now there is one 2 left .

We need another 2

So we get

[tex]\\ \rm\Rrightarrow 2(3)(3)[/tex]

Answer:

(number line is attached as a file)

Step-by-step explanation:

The blue indicates x<-1 and the red indicates x<3. The yellow indicates the solutions to this inequality. (Since this is an "or" problem, both areas of the red and blue can work)

Answer:

6 hours.

Step-by-step explanation:

A day is 24 hours. So in this case, 3 quarters of a day will be 18 hours, half a day is 12 hours, and a quarter of a day will be 6 hours.

Answer:

6 hours

Step-by-step explanation:

1/4=6h

2/4=12h

3/4=18h

4/4=24h

Answer:

15% = 0.15

15% = [tex]\frac{15}{100}[/tex]

Step-by-step explanation:

Answer:

The answers are 3 and 5

The only thing u had to do is

x-5=0

x=5

7x-21=0

7x=21

x=3