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Answer:

420

Step-by-step explanation:

First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.

The surface area of the pyramid is 178.9 square centimeter.

We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .

We have to find the Surface area of the pyramid.

The formula is -

[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]

Now, firstly find the height of the pyramid - using the Pythagoras theorem-

[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]

h =  15.19 cm

Substituting the value of height in the formula of surface area -

S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.

Hence, the surface area of the pyramid is 178.9 square centimeter.

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Answer:

[tex]\frac{35(1 + 35)}{2}[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]

T1 is the first term; [tex]T_1 = 1[/tex]

Tn is the last term; [tex]T_n = 35[/tex]

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes

[tex]S_n = \frac{35}{2}(1 + 35)[/tex]

[tex]S_n = \frac{35(1 + 35)}{2}[/tex]

From the list of given options;

Option A is correct

[tex]\frac{35(1 + 35)}{2}[/tex]

Answer:

A) 90 degrees

B) 110 degrees

C) 78.5 in. sq.

D) 15.3 in. sq.

Step-by-step explanation:

A) 90 degrees by the two-tangent theorem

B) 360-90-90-70=110

C) A=pi r-squared

A=3.14x5x5

A=78.5

D) 70/360=0.1944

78.5x0.1944=15.3

Answer:

32.137 cm squared **Answer varies on how you round for step 2**

Step-by-step explanation:

**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**

If the diameter is also 6 cm then the triangle would be isosceles .

1. Find the area of the triangle.

            Formula: (Base x Height) / 2

            = 6X6/2 = 18 cm squared

2. Find area of half-circle.

            Formula:  (πR^2)/2

            = (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared

3. Add the areas.

            18 + 14.137 = 32.137 cm squared.

Answer:

40 teachers.

Step-by-step explanation:

We are to find the number of teachers (staff) who attended the excursion).

For every 2 staff, there are 15 students

The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex]  × 340 = 40 teachers

The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Answer:

Andy

Step-by-step explanation:

Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.

Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.

Answer:

Andy

Step-by-step explanation:

Please see attached picture for full solution.

Answer: Experimental probability

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously​ as shown below. The sample space will have 4 outcomes.

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Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

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Answer:

Domain: (-5,-4,-3,-2,-1,0,1,2,3,4,5)

Range: (0,1,2,3,4, -1, -2)

Step-by-step explanation:

Domain means all of the x-axis values on the graph, so for example in (-2,0), -2 would be part of the domain and 0 part of the range. Therefor, what you would do would be take all of the plots and put all x values as the domain and all y values as the range. Hope this helped!

What do you mean?? .-.

Answer:

  BC/BE = FG/FI

Step-by-step explanation:

Corresponding segments are proportional:

  BC/BE = FG/FI

Answer:

3c-8

Step-by-step explanation:

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

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Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6

x = 12

Answer: x is 12

Step-by-step explanation:

Answer:

The answer is "101.37  yd"

Step-by-step explanation:

In the given question an attachment file is missing. so, we attached the file and calculates its value:

Use formula:

[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]

In the above-given equation we assume c is the third side:

[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]

c = 101.37  yd

Answer:

52.28 sq m

Step-by-step explanation:

SA=pi r(r+ the square root of h-squared and r-squared)

SA=3.14x2(2+the square root of 36 and 4)

SA=3.14x2(8.32)  

SA=52.28 sq m

The Surface area of the given cone is 50.24 meter square

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Slant height l = 6 meter

Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter

Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]

=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]

=50.24 meter square

Hence, the surface area of the given cone is 50.24 meter square

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Answer:

The six raw digits are 14,15,15,15,16,16

Step-by-step explanation:

Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

Answer:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive