Question
Find the surface area of the prism.




m2

Answer:

Given:

< or > = open circle

≤ or ≥ = closed circle

So we are looking for:

Therefore, the attached is the correct answer.

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

[tex]\sqrt{396.3}[/tex] = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

[tex]a_3 = 8, a_7 = 9[/tex]

Hence:

[tex]a_7 = a_3 + (7 - 3)d[/tex]

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461

The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant

Given Data

Let us find the amount of the tip

= 17.78 -14

= $3.78

Let us find the percentage tip

= 3.78/14 * 100

= 0.27 * 100

= %27

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Answer:

-12

Step-by-step explanation:

because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4

Answer:

47°

Step-by-step explanation:

All trianges have a angle total of 180°.

Assuming the triangles are equals:

72+61+x=180

x=47

Step-by-step explanation:

[tex]y = \frac{3}{4} x - 2[/tex]

is the required equation

I hope it helped you

Answer:

y = [tex]\frac{3}{4} x-2[/tex]

Step-by-step explanation:

y = mx + c

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

c = y-intercept = -2

Answer:

114

Step-by-step explanation:

Here is the first one.....you should be able to do the others

(10-14i)(10+ 14i)      expand

100 + 140i  - 140i - 14i^2

100 - 14i^2      remember  i = sqrt (-1)    so i^2 = -1

100 - (14 *-1)

114

Answer:

  i) 3.7 cm

  ii) 3.0 cm

Step-by-step explanation:

When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.

__

The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(63°) = k/(1.9 cm)

  k = (1.9 cm)tan(63°) ≈ 3.7 cm

The length k is about 3.7 cm.

__

Again, the tangent function can be used to solve this triangle.

  tan(42°) = (2.7 cm)/p

  p = (2.7 cm)/tan(42°) ≈ 3.0 cm

The length p is about 3.0 cm.

Answer:

B. 23

Step-by-step explanation:

Total = 180° for a supplementary angle.

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23

Answer:

B. 23

Step-by-step explanation:

The sum of the angles that creates a straight line is 180 degrees. So we can write the equation

5x + 65 = 180

Solve for x by first subtracting 65 on both sides

5x = 115

Then divide both sides by 5

x=23

Answer:

B. Onions: 81.3 kg; Beef: 536.3 kg

Step-by-step explanation:

6.6x = 6.6*81.26 = 536.32 kg (amount of grilled steak in the taco)

i think thats right

Answer:  A. i think it is

Step-by-step explanation:

Answer:

d) 12x + 24.

Step-by-step explanation:

3(4x+8)

= 3*4x + 3*8

= 12x + 24.

The Distributive Property states the following:-

[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]

So we distribute a by multiplying it times b & c.

Now, let's simplify the given expression:-

[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]

Hence, Option D) is correct!

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

the volume is 5663.24436

Answer:

See below ↓

Step-by-step explanation:

The relation is :

Title : Variation of Motor Speed with Applied Voltage

x-axis label : Voltage (volt)

y-axis label : Motor speed (rpm)

As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.

Answer:

Step-by-step explanation:

Isolate the term of p from one side of the equation.

First, multiply by 7p from both sides.

-2*7p=6/7p*7p

Solve.

-14p=6

Then, you divide by -14 from both sides,

-14p/-14=6/-14

Solve.

p=-3/7

Dividing is another option.

-3/7=-0.42

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

look below

Step-by-step explanation:

The common ratio is 1:4 because we are multiplying the previous number by 4

The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

see explanation

Step-by-step explanation:

the sequence is geometric and has common ratio r

(a)

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

(b)

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = 4 , then

[tex]a_{n}[/tex] = 3 . [tex]4^{n-1}[/tex]

We can't determine right off the bat what values of x make this inequality true, so we should solve it first.

First, use the distributive property and distribute 3 :

3(x+2)-x<8

3x+6-x<8

Now subtract 6 on both sides :

3x-x<8-6

3x-x<2

now , subtract the x's :

2x<2

Divide by 2 on both sides :

x<1

Let's try -1 (-1 is less than 1)

Plug it in ↓

3(-1+2)-(-1)<8

3(1)+1<8

3+1<8

4<8

4 is less than 8.

hope helpful ~

Answer:

x < 1

Step-by-step explanation:

Expand the brackets: 3 * x = 3x and 3 * 2 = 6

Current inequality: 3x + 6 - x < 8

Collect like x terms: 3x - x = 2x

Current inequality: 2x + 6 < 8

Collect like integer terms: subract 6 from both sides

Current inequality: 2x < 2

Convert 2x to x: divide both sides by 2

Final answer = x < 1

Hope this helps :)

The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches

The volume of the container is given as:

V = 64 cubic inches

When it increases by a maximum of 100 cubic inches, the new volume becomes

V = 164 cubic inches

The volume of a cube container is calculated using:

V = l³

Where l represents the edge length of the cube

Substitute 164 for V

l³ = 164

Take the cube root of both sides

l = 5.5

Hence, the maximum measurement of the edge of the larger cube is 5.5 inches

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The coefficient is 5.

Hope it helps.

Do comment if you have any query.

Answer:

A≈138.53

Step-by-step explanation:

A=a^2+2a √a^2/4+h2

The radius of the  copper specimen before deformation was 8 mm of a cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm

Given information:

To find the radius of the copper specimen before deformation, we'll use the formula for calculating the ductility:

Ductility (%el) = ((Final radius - Initial radius) / Initial radius) * 100

Let's denote the initial radius as "r" (in mm). The final radius is 10 mm (after cold-working).

25% = ((10 - r) / r) * 100

Now, solve for "r":

25% = (10 - r) / r

Convert percentage into fraction:

25/100 = (10 - r) / r

Convert fraction into decimal:

0.25 = 10 - r/r

on Cross-multiplication gives:

 0.25r = 10 - r

Add r on both sides gives,

1.25r = 10

On dividing by 1.25 gives:

r = 8 mm

So, the radius of the copper specimen before deformation was 9.75 mm.

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#SPJ4

Answer:

[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Step-by-step explanation:

[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]

[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]

[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]

[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]

[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]

[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]

[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Answer:

22 cents

Step-by-step explanation:

Rounding the number $0.2217 to the nearest cent, we get $0.22.

the probability.

P(5 or 10 or 11 or 12)

= P(5)+P(10)+P(11)+P(12)

= 4/36+3/36+2/36+1/36

= 10/36

= 5/18

so, the correct answer is option C) 5/18.

Answer: C

Step-by-step explanation:

[tex]\left(2x+3\right)\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]=2xx+2x\cdot \:5+3x+3\cdot \:5[/tex]

[tex]$$Simplify[/tex]

[tex]=2x^2+13x+15[/tex]

Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.

First assume a price the computer was sold at. We'll go with $100.

At this price, the shopkeeper still made a profit of 20% which means that the cost price was;

= 100 / (1 + 20%)

= $83.33

Based on the discounted price of $100, the full price was:

= 100 / (1 - 20%)

= $125

The profit the shopkeeper would have made is:

= (Full price - Cost price) / Cost price x 100%

= (125 - 83.33) / 83.33 x 100%

= 50%

#SPJ1

Find out more on percentage discounts at https://brainly.com/question/1453984.

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

x=2/2

x=1

Answer:

x = 41

Step-by-step explanation:

the 2 angles are adjacent and sum to 180° , that is

2x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41

Answer:

6 is A

Step-by-step explanation:

-5 x -4 = 20

-5 x 7x = -35x