1. Determine the lateral and total surface area
of the square pyramid.
12 cm
12.8 cm
qom
Lateral Surface Area
Total Surface Area

Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:

1. x = 75°; y = 85°, z = 210°

2. x = 38°

3. x = 143°

The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.

The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.

According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)

1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)

x = 75°

y = 180 - 95 = 85°

z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]

m(HEF) = 210°

2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]

x = 1/2(76)

x = 38°

3. x = 1/2(146 + 140) [angles of intersecting chords theorem]

x = 1/2(286)

x = 143°

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Answer:

1 chance in 123,396,455

Step-by-step explanation:

Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200

Number of permutations of 4 out of these 5 correct = 120

So number permuations for first 53  = 344362200/ 120 = 2869685

So for minimum prize there are 2869685 * 43 = 123396455 perms.

Answer:

5 with 1 left.

Step-by-step explanation: 7 goes into 36 5 times.

5x7=35

36-35=1 left over.

Answer:

-18

Step-by-step explanation:

Simplify: |3 – 10| – (12 / 4 + 2)^2

[tex]|3 - 10| - (\frac{12}{4} + 2)^2\\\\|-7|-(\frac{12}{4} + 2)^2 < == absolute\ numbers\ are\ always\ positive\\\\7-(3+2)^2 < ==add\ numbers\ in\ parenthesis\\\\7-5^2 < ==square\ the\ number\ (5)\\\\7-25 < ==add\ numbers\\\\-18 < ==final\ answer[/tex]

Hope this helps!

Answer:

simplify the matrix:

36,−32,−18,3,−6

Answer:

Possible answers (6,-8) and (4,-4)

Step-by-step explanation:

These two possible answers show the line has a slope of -2

Answer:

-295

Step-by-step explanation:

10^2=100

8x3=24

100-24=76

76x4=304

5+4=9

9-304=-295

Answer:

Step-by-step explanation:

hello :

dy/dx = 3y sin x    means : (1/3) dy/y =sinx dx.....continu  integ

The work done by the machine is the product of force and distance

The amount of work done by the machine is 10 joules

The amount of work done is calculated using:

W = Fd

Where:

The distance moved to the living room is the same when you move the chair or a machine does is the same.

Also, if the force applied in moving the chair remains unchanged, the amount of work done would be the same.

Hence, the amount of work done by the machine is 10 joules

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Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:

b. 56.

The order in which the items are selected is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 items are chosen from a set of 8, hence:

[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]

Hence option b is correct.

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Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Ask in the comments box.

Answer:

its 12p bro...

Step-by-step explanation:

There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.

Think of it this way.

12p = 12*p

This is because of the distributive property.

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Answer:

392,730

Step-by-step explanation:

This increase will be over one year which will just be a 0.7% increase

to 390,000

0.7% of 390,000 is 2730

(0.007 * 390,000 = 2730)

390,000 + 2730 = 392,730

Or more simply we can add the increase in percentage to 1 for our multiplier

390,000 * 1.007 = 392,730

well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

Answer:

About 25%

Step-by-step explanation:

The median is 25, and you know there are quartiles. From the median to a consecutive quartile, there is a range of 25%. For less than 20, It's from 5-20. Since there is a consecutive quartile, you get 25%!

Answer:

25%

Step-by-step explanation:

I took the test                                                                                                                                         Hope this helps :)

Answer:

P=1, G=2, T=3, E=6, D=7, A=9

explanation:

CAT+DOG=PETS

Replace each letter with its value:

893+742=1635 which is true

Answer: 1 3/4(8)= 14

Step-by-step explanation:

That is the correct answer

This dress will be sold in the boutique for $6,716.25.

Given that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:

Therefore, this dress will be sold in the boutique for $6,716.25.

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Answer:

This dress will be sold in the boutique for $6,716.25.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

Answer:

•WHAT IS PERIMETER?

>> PERIMETER MEANS THE SUM OF ALL SIDES OF FIGURE

NOW,LET'S SEE YOUR GIVEN QUESTION.

THE FIGURES 2 SIDES DATA IS GIVEN

•6CM

•5.5CM

THEREFORE : 6 + 5.5

: 11.5 CM

THE PERIMETER OF FIGURE IS 11.5 CM

Answer:

p - 70

Step-by-step explanation:

70 less than p

Answer:

p - 70

Step-by-step explanation:

We're looking for the number of drawings Nora made, which is 70 fewer than Elise's, p. In instances like this, always subtract the number of less drawn from the quantity drawn by the other person, which is 70 - p. However, this would almost certainly result in a negative response, which isn't feasible. If you flip them over, you'll get p - 70.

Answer:

No solutions

Step-by-step explanation:

if x-y=-10, then x<y

but in x-y=2, x>y

x cannot be bigger than and less than y at the same time

Answer:10 bucks

Step-by-step explanation:

have a good day

Answer:

C. 28

Step-by-step explanation:

According to the provided figure :

The measure of the angle EFG equal to the measure of the angle EFH

Which means 2(x + 2) = 60

2(x + 2) = 60

Then

2x + 4 = 60

Then

2x = 60 - 4

Then

2x = 56

Then

x = 56/2

Then

x = 28

The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .

Step by step explanation :

Given -

To find -

The percent of container B that is left after pumping the water of Container A full in it.

Solution -

Firstly, we have to find how much water each container can hold i.e. volume of containers .

We know that -

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

For Container A

Given, diameter = 6 feet

.•. Radius = [tex] \frac{6}{2} [/tex]

[tex] = 3 \: \mathfrak{feet}[/tex]

Height = 18 feet

•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]

[tex] = \frac{3564}{7} [/tex]

[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth . ..

[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]

For Container B

Given, Diameter = 8 feet

.•. Radius = [tex] \frac{8}{2} [/tex]

[tex] = 4 \: \mathfrak{feet}[/tex]

Height = 17 feet

•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]

[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]

[tex] = \frac{5984}{7} [/tex]

[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth. ..

[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]

Now,

Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A

= ( 850 - 510 ) ft^3

= 340 ft^3

Now ,

The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100

[tex] = \frac{340}{850} \times 100[/tex]

Answer:

104

Step-by-step explanation:

1st term + or - common difference (term -1)

common difference is +6

2 + 6 (18-1)

2 + 6 (17)

2 + 102

104

Answer:

i think last one is the right answer

Step-by-step explanation:

y=1/3x