What is the total surface area of the square pyramid?

Answer: Approximately 28 km

The more accurate, yet still approximate value, is roughly 27.995735464379

Round that however you need to.

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Explanation:

As the diagram shows, the uppercase letters A,B,C represent the corner points of the triangle. They also represent the angles. The diagram says that:

The missing angle C is....

A+B+C = 180

C = 180-A-B

C = 180-59-91

C = 30

which we'll use later.

Convention usually has the side lengths be lowercase letters 'a', b, and c. Those lowercase letters are opposite their uppercase counterpart. We'll have side 'a' opposite angle A, then b is opposite B, and c is opposite C. This allows us to quickly label a triangle and find the missing sides and/or angles. The phrasing "solve the triangle" basically means "find all the missing sides and angles". For this problem, we're only concerned with one side.

The diagram says that side c = 14 due to it being opposite angle C.

The goal is to find side b, which is the shorter way of saying "find AC".

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From here, we can use the law of sines to find side b

b/sin(B) = c/sin(C)

b/sin(91) = 14/sin(30)

b = sin(91)*14/sin(30)

b = 27.995735464379 which is approximate

b = 28

Side AC is roughly 28 km long.

I rounded to the nearest whole number since the "14 km" is also a whole number. Your teacher may want you to round differently.

Make sure your calculator is in degree mode.

Answer:

Step-by-step explanation:

Of that list, only the square and the rectangle have the property you are asking for.

Try drawing it. The parallelogram has a shorter diagonal from the two obtuse angles than the diagonal from the two acute angles.

The rhombus has the same property as the parallelogram.

The kite has a far longer diagonal  from the angle enclosed by the two long sides going to the angle enclosed by the two shorter sides,  than a line going from the angle enclosed by one shorter and one longer side to the other angle made the same way.

Answer:

b

Step-by-step explanation:

Answer:

B. Students of the high school

Step-by-step explanation:

It is high school because you just want to ask that area.

Answer:

more information is needed

Step-by-step explanation:

inadequate info :(

Answer:

The answer is D: 7.50 + p = 9.5

Step-by-step explanation:

The cost of the book(7.5) plus the cost of the pen(p) equals the total cost which was 9.5

The Angle 2 and angle 8 in the given figure are called as the alternate interior angle and they are equal .

What are Alternate Interior Angles ?

The alternate interior angles are defined as the angles that are formed when a transversal intersects the two coplanar lines.

The alternate interior angles  lie on inner side of parallel lines but they are on the opposite sides of the transversal.

So , From the figure we can conclude that the angle 2 , angle 8 and angle 3 and angle 5 are the alternate interior angles .

Therefore , the angle 2 and 8 are alternate interior angles.

The given question is incomplete , the complete question is

What are the angles 2 and 8 called in the given figure ?

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Answer: $2.45

Step-by-step explanation:

An easy way to find the correct tip is to learn what 20% of 12.25 is

Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2

.2 X 12.25 = 2.45

2.45 is 20% of 12.25

Answer: 640

Step-by-step explanation:

1. To help identify what place value to round write out the numbers with their place

the hundreds value in this question is 600

the tens value in this question is 40

and the ones value is 8

Since the questions asks to round to the nearest 10, you would look at the number after 4 and see if it is equal or greater than 5, if so, you would round it up to the next number, which would be 5 and write it like 640.

The ratio of yellow paint to mixed paint is 3/5.

A ratio is a comparison or relationship between two amounts of the same quantity to determine how much larger one number is than the other. Where b is not equal to zero, it is written as a/b or a: b. An equality of two ratios is a proportion. In order to write equivalent ratios, proportions are used, which aids in resolving the unknown quantities. As an illustration, a proportion is written as a: b = c: d.

Solution:-

Given,

Amount of yellow paint=3

Amount of blue paint=2

Ratio=yellow paint/total mixed paint

Ratio=3/(3+2)

Ratio=3/5

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Answer:

Step-by-step explanation:

slopes and equations:

find the  equation thur ( 6,1 )  and (-2,-3)

find the slope m

m = (y2-y1) / (x2-x1 )

m = (-3 - 1) / (-2 -6)

m = -4 / -8

m = 1/2

now use the point-slope formula with our known slope

y-y1 = m(x-x1)

y-1 = 1/2(x-6)

y - 1 = 1/2x -3

y = 1/2x -3 +1

y = [tex]\frac{1}{2}[/tex]x -2

Find the equation parallel to y = 3x + 6 and thur (0,1)

Parallel means the same slope, the slope is 3 for the equation above.

use the slope-intercept formula again with the point given and the slope 3

y-1 = 3(x -0)

y - 1 = 3x

y = 3x +1

Find the equations perpendicular to 2x + y = 8 and the same y intercept as  4y = x + 3.

put both equations into proper form

y = -2x +6

y = [tex]\frac{1}{4}[/tex]x + [tex]\frac{3}{4}[/tex]

perpendicular means  reciprocal slope and change the sign, the 2nd equation has an intercept of  [tex]\frac{3}{4}[/tex] , so

y = 1/2x + [tex]\frac{3}{4}[/tex]

there you go Amanda  :)

Answer:

c 1.175 L

Step-by-step explanation:

you just add the two amounts of soap he put into the container and subtract it from the total amount of soap he had, 2 L.

The answer is On a negatively skewed curve ,The mean is lower than the median, which is lower than the mode

When a distribution is negatively skewed in statistics, more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

A longer or fatter tail on the left side of the distribution is referred to as negative skew, whereas a longer or fatter tail on the right is referred to as positive skew. The direction or weight of the distribution is indicated by these two skews.

Mode > Median > Mean.

When the long tail is on the distribution's left side, the distribution is said to be left skewed. They are also referred to as negatively skewed by statisticians. Probabilities taper off more slowly for decreasing values, which causes this circumstance.

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Answer:

87.5%

Step-by-step explanation:

7 are shaded

8 total boxes are there

7/8= .875

.875*100=87.5%

The peak is located at R=1 according to a power curve analysis. To put it another way, the load and source resistance must match.

The ski area's name needs to be changed first. Squaw is not a kind way to refer to a woman. It is an expression that refers to female genitalia. (a decent slang equivalent in English begins with "c" and rhymes with "runt") During my time as a teacher in an Indian school, I learned this in a very embarrassing manner.

If we suppose that each person weighs roughly 70 kilograms (154 lbs) on Earth, then the power required to simply raise the people is P = W/t, and since W = mgh in this situation, P = W/t = mgh/t = (47,000 people)(70 kg/person).

(2 MW) = (1791222.222 W)(9.8 N/kg)(200 m)/(3600 s).

The complete question is:

Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour.  If the average lift carries people about 200 m (vertically) higher, estimate the maximum total power needed.

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Answer:

332=y

Step-by-step explanation:

The shaded region has a surface area of 7π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

find the area of the circle with radius =3 cm,

then subtract the areas of the two circles with radius 1 cm

pir^2 = the area of a circle with radius = r

=pi(3)^2 -pi(1)^2 - pi(1)^2

= 9pi -pi-pi

= 9π-2π

= 7π

The area of shaded region is 7π.

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Answer:

5.5 + 4 +3

Step-by-step explanation:

Amount of pineapple juice is more in Jo's drink and amount of Orange juice is less in Jo's drink as compare than the tropical punch recipe because these are not in that ratio as in the tropical punch recipe.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

The Number of cups of pineapple juice = 222 liters

The Number of cups of orange juice = 333 liters

Thus ,

Total number of cub of juice = 222+333

                                               = 555 cups

In Jo's drink

The Number of cups of pineapple juice = 333 liters

The Number of cups of orange juice = 444 liters

Thus Total number of cub of juice = 333+444

                                                        = 777 cups.

The ratio of amount of pineapple juice and amount of Orange juice is 2:3 in the tropical punch recipe

Whereas the ratio of amount of pineapple juice and amount of Orange juice is 3:4 in Jo's drink

Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo's drink.

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Answer:

The slope is 1/3. Goes 1 up and 3 to the right.

Answer: No rectangle can make this shape

Step-by-step explanation:

this question is related to numbers and the solution is as follows,

Rover eats 3/4 can of cat food in a day.

given

in 60 days it will consume 60 x 3/4 cans = 45 cans of cat food

3 cans cost = $5 and a pack contains 3 cans

45 cans is equivalent to= 45/3

= 15 packs

15 packs cost = 15 x $5 = $75

So it will cost $ 75 to feed Rover for 60 days

Bobo eats 1/2 of a can of cat food per day

in 60 days it will consume 60 x 1/2 cans = 30 cans of cat food

3 cans cost $5 and a pack contains 3 cans

30 cans are equivalent to 30/3 = 10 packs

10 packs will cost = 10 x $5 = $50

So it will cost $50 to feed Bobo for 60 days

In total, in 60 days it will cost $75 +$ 50 = $125 to feed both cats in 60 days.

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As calculated from the data we get the result as that $ 125 is required for the cat food of both the cats in a month.

We are given that in 60 days he will consume  ,

60 x 3/4 cans

= 45 cans of cat food

The cost of 3 cans cost = $5

and one pack has 3 cans in it.

Therefore, 45 cans is equivalent to

= 45/3

= 15 packs

So , the cost of 15 cans will be ,

15 packs cost = 15 x $5 = $75

Therefore ,$75 is used for 60 days of cat food for Rover.

Now , we know that Bobo eats 1/2 of a can food in a day.

Therefore, in 60 days he will  eat,

60 x 1/2 cans

= 30 cans of food

As we know, 3 cans cost $5 and a pack contains 3 cans

Therefore, 30 cans = 30/3 = 10 packs

10 packs will cost = 10 x $5 = $50

So , $50 is spend to feed Bobo , in a month.

Therefore , if will combine their cost we will get that ,

$75 +$ 50 = $125 is required to feed both the cats in one month.

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Answer:

x = 68°

Step-by-step explanation:

This is an isosceles triangle, which means the two base angles will be the same. (56° and 56°)

All triangles angles must add up to 180, so if we take 180-56-56 we will find the missing angle (x).

180-56-56 = 68

x = 68°

Answer:

Step-by-step explanation:

It’s 0

Answer:

215/100

Step-by-step explanation:

it is asking for improper fraction

improper fractions are just the bottom number multiplied by the number outside of the fraction so in this case it is

2*100 which is 200 then add that to the top number

which leaves you with 215/100

Answer:

D. 25°

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

50+25=75, 180-175=105

The closing side of the triangle serves as the best representation of the resultant vector for the resultant R=A+B, so selecting option C would be the appropriate response.

A vector in mathematics is a quantity that has both magnitude and direction but no specific location. Illustrations of such numbers include velocity and acceleration. The term "vector" refers to something that has both magnitude and direction. When viewed geometrically, a vector can be thought of as a directed reference line, the direction of which is indicated by an arrow and whose length corresponds to the vector's magnitude. A quantity or phenomenon known as a vector has two distinct qualities that are its size and direction. Also included in the term is a description of how these values are represented geometrically or mathematically. Vectors are present in electromagnetic fields, as well as in weight, velocity, force, and velocity.

given

As stated in the issue, we must determine the resultant vector by adding vectors A and B.

The triangle law of vector addition, which states that the total is supplied by the triangle's closing side, can be used to calculate the vector's outcome.

Option C is the proper response, thus.

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