What is the total surface area of the solid?
9.7 mm
9.7 mm
8 mm
10 mm
11 mm
16 mm

Answer:

AP(Arithmetic progression).

Step-by-step explanation:

Given formula;

s=n/2(a+l)

Explanation;

Given formula;

s=n/2(a+l)

Explanation;

The given formula is used to calculate the sum of the given AP(Arithmetic progression).

In which;

S = Sum of AP(Arithmetic progression).

n = number of terms in AP(Arithmetic progression).

a = first term of AP(Arithmetic progression).

l = last term of AP(Arithmetic progression).

Answer:

B) 6x³+4x-2

Step-by-step explanation:

B) 6x³+4x-2

My best bet is the last one x<7

Answer:

[tex]\theta=36.43^{\circ}[/tex]

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]

Put all the values,

[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]

So, the value of [tex]\theta=36.43^{\circ}[/tex].

Answer:

5/100

Step-by-step explanation:

each penny = 1/100

Answer:

There isn't an answer.

Step-by-step explanation:

5(x+1) = 4(x-1) + x

5x + 5 = 4x - 4 + x

5x +5 = 5x -4

0 = -9

no x, so no answer.

Answer:

m<A = 107

m<B = 73

m<C = 107

m<D = 73

Step-by-step explanation:

2(4x + 1) + 2(5x + 17) = 360

8x + 2 + 10x + 34 = 360

18x + 36 = 360

18x = 324

x = 18

4x + 1

4(18) + 1

73

5x + 17

5(18) + 17

107

Answer:

A. 99 sq cm

Step-by-step explanation:

Area of geometric shape

= 2 times the area of one triangle with base a and height c

+ 2 times the area of one triangle with base c and height b

+ Area of rectangle with dimensions a and c.

[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]

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Explanation:

The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.

The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.

The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.

Overall, we have a total area of m+n+p = 39+21+39 = 99

The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".

Answer:

[tex]3x^2+126x[/tex]

Step-by-step explanation:

Solve For X.

3x(x+42)

Ans:

3x(x+42)

Use the distributive property to multiply 3x by x+42.

[tex]3x^2+126x[/tex]

Answer:

2/7

Step-by-step explanation:

both numbers are divisible by 7 because:

[tex]\frac{7*2}{7*7} = \frac{14}{49}[/tex]

2/7 is in simplest form because they have no common factors except for 1.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

B. the second one

Step-by-step explanation:

Answer:

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Step-by-step explanation:

Given:

Height of Frustum = 8 feet

Diameter of top = 6 feet

Diameter of base = 4 feet

Find;

Volume of fountain cup in gallons

1 cubic foot = 7.5 gallons

Computation:

Radius of top = 6 / 2 = 3 feet

Radius of base = 4 / 2 = 2 feet

Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]

Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]

Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]

Volume of fountain cup in gallons = [8.37)[19]

Volume of fountain cup in gallons = 159.03

Volume of fountain cup in gallons = 159 feet³

Volume of fountain cup in gallons = 159 x 7.5

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Answer:

[tex]t=24yrs[/tex]

Step-by-step explanation:

From the question we are told that:

Principle [tex]P=\$4000[/tex]

Interest [tex]r=5.5\%[/tex]

Final Value [tex]X=\$200000[/tex]

Generally the equation Time is mathematically given by

 [tex]X=P *e^{r*t}\int^t_0 e^{r*t} dt[/tex]

 [tex]200000=4000 *e^{0.055*t}\int^t_0 e^{0.055*t} dt[/tex]

 [tex]200000=4000* \frac{e^{0.055*t}-1}{0.055}[/tex]

 [tex]e^{0.055*t}=\frac{15}{4}[/tex]

 [tex]e^{0.055*t}=3.75[/tex]

 [tex]0.055t=ln3.75[/tex]

 [tex]t=24.03[/tex]

Therefore the number of years it takes years for the account to be worth $200,000.

[tex]t=24yrs[/tex]

Answer:

32÷8=4

Step-by-step explanation:

1 pack of sugar is 8 and he needs 32 so 32 divided by 8 of 1 pack will then get you 4 packs he will need.

cant solve it

Step-by-step explanation:

Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

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

[tex]x=4y[/tex]

[tex]x=4(4)=16[/tex]

[tex]x=4(2)=8[/tex]

[tex]x=4(9)=36[/tex]

x |   y

16   4

8     2

36   9

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hope it helps...

have a great day!!!

oh no noooooooooooooooooooooooooooooooooooooooooooo

Answer:64

Step-by-Step

Image

Answer:

570

Step-by-step explanation:

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

The slope-intercept form equation is ...

  y = mx + b . . . . . . slope m, y-intercept b

We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...

  y - mx = b . . . . . .  subtract mx

  8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m

Then the equation of the line is ...

  y = x +2

Answer:

$120

Step-by-step explanation:

Interest = Principal x Rate x Time

I =  6000(.02)(1)

I = 120

Answer:

-1/3

Step-by-step explanation:

Perpendicular slope=negative reciprocal

Answer:

[tex]10 > 1.85 + 0.5m[/tex]

Step-by-step explanation:

Price of the scooter:

Fixed price of $1.85 to activate plus $0.50 for each mile. This situation can be represented by a linear function, and it is given by:

[tex]P(m) = 1.85 + 0.5m[/tex]

Mikael has a gift card for $10 and he can not spend more on the scooter.

The spendings have to be less than 10. So

[tex]10 > P(m)[/tex]

[tex]10 > 1.85 + 0.5m[/tex]

Answer:

[tex]y = |x + 9| - 6[/tex]

Step-by-step explanation:

Given

[tex]y = |x|[/tex] --- the correct equation

Shifted down 6 units

Shifted left 9 units

Required

The new equation

When function is shifted down by b units, the new function is:

[tex](x,y) = (x,y-b)[/tex]

In this case:

[tex]b =6[/tex]

So, [tex]y = |x|[/tex] becomes

[tex]y =|x| - 6[/tex]

When function is shifted left by b units, the new function is:

[tex](x,y) = (x+b,y)[/tex]

In this case:

[tex]b =9[/tex]

So: [tex]y =|x| - 6[/tex] becomes

[tex]y = |x + 9| - 6[/tex]

6/16 = 3/8

hope this helps