Find the surface area of a square pyramid with side length 6 cm and slant height 5
cm.

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Concept }}}[/tex]

[tex] \large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: let's\:solve }}}[/tex]

[tex] \rm\angle \: p + \angle \: q = 180 \degree \\ [/tex]

★ Substituting values

[tex] \rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}[/tex]

[tex] \qquad \qquad\rm { \pink➾6x = 192} \\ \qquad\qquad\rm { \pink➾ \: x = \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}[/tex]

★ Hence the value

[tex] \boxed{↪\underline{ \boxed{ \rm{\: x = 32\green✓}}}↩}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

you are correct keep up the good work.

Answer:

The 1st one is correct and the second one is (5, -3)

Step-by-step explanation:

For the 1st question this is what I did:

d=√(x^2−x^1)^2+(y^2−y^1)^2

d=(0−4)^2+(6−3)^2

√d=(−4)^2+(3)^2

√d=16+9

√d=25

√d=5

For the second question I did this:

(xM,yM)=(x1+x2/2,y1+y2/2)

M=(xM,yM)

M=(x1+x2/2,y1+y2/2)

M=(3+7/2,−1+−5/2)

M=(10/2,−6/2)

M=(5,−3)

Hope this helps!

Answer:

[tex]8x + y = - 52[/tex]

Step-by-step explanation:

m= -8

p (-6,-4)

Formula for equation of a logbook passing through to points:

Answer:

Agree.

Step-by-step explanation:

1. (5^r)^t can be represented simply as 5^rt.

2. when r as negative integer, t as positive integer, rt is always a negative integer

3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.

Answer:

3 to 20

Step-by-step explanation:

Answer:

13 yards

Step-by-step explanation:

38/3 => 12.6667 yards which would be closest to 13 yards

The formula is to divide the lenght value by 3.

The number 38 feet is equal to 12.67 yards.

We have to give that,

To change 38 feet into yards.

Since we know that,

1 yard = 3 feet

1 feet = 1/3 yards

Hence, change 38 feet into yards as,

1 feet = 1/3 yards

38 feet = 38/3 yards

38 feet = 12.67 yards

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it's base× height (same as a rectangle:

4×5=20

the triangle, 3, and right angle are there just to confuse you :)

Answer:

opposite meanings

Step-by-step explanation:

An antonym is a word that means the opposite of another word

Answer:

top right one

Step-by-step explanation:

Top left one makes a square

bottom left one makes a circle

top right one makes a triangle

bottom right one makes a circle

The intersection of a plane and a three-dimensional figure results in a triangular cross-section is a triangular pyramid.

A solid's cross-section is a plane figure formed when the solid intersects another plane. As a result, the cross-section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented. A sphere's cross-section is always a disk, although a cube's cross-section can be square, hexagonal, or another shape.

In these types of three-dimensional geometrical problems imagination of the figures is very crucial.

Now, Think of the plane as a very very thin sheet cutting a triangular pyramid parallel to its base will have exactly the same cross-section as its base and we know a triangular pyramid has a triangular base.

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Answer:

Remainder is 0

Hope this helps

Answer:

see the attachment!

i hope this can help you.

Answer:

Step-by-step explanation:

     [tex]\sf\boxed{(x-h)^2+(x-k)^2=r^2}[/tex]

     Here, h , k are the co ordinates of the center and r is the radius

[tex]\sf (x - 2)^2 + (y-[-8])^2 = 2^2\\\\(x - 2)^2 + (y + 8)^2= 4[/tex]

Answer:

  12 meters

Step-by-step explanation:

The assumption regarding shadow lengths is that they are proportional to height at any given place and time.

__

Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.

  (3/2)(8 m) = 12 m

The streetlamp's shadow is 12 meters long.

Answer:

6/5

Step-by-step explanation:

hope this helps

A circle is a curve sketched out by a point moving in a plane. The circumference of the ring of fire is 6.2831 meters.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The circumference of the ring if the radius is 1 meter is,

Circumference of the ring = 2πr = 2 × π × 1 = 6.2831 meters

Hence, the circumference of the ring of fire is 6.2831 meters.

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The answer will be option B. The y-values are all greater than or equal to 2.

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.

Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.

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Answer:

x=49 exactly but a i forgot how to get range sry

Step-by-step explanation:

Two supplementary angles equal 180 degrees when added together.

180 - 163 = 17

the other angle would be 17 degrees

area: 37.74 yds

you get this by multiplying the length and width

perimeter: 25 yds

you get this by adding up the length of each side

Answer:

X= 11

Y= 22

Step-by-step explanation:

How to find Y ?

sin 60° = 11√3/ Y

√3/2 = 11√3/Y

Y= 22

How to find X ?

cos 60° = x/22

1/2 = x/22

2x = 22

x = 11

Assuming that (-2)(-7) and 4 + (-18) are equal.

Using the property [-x × -y = x × y = xy]:

Using the property [x + (-a) = x - a]:

Assuming that (2)(7) and 4 + 18 are equal.

Assuming that (–2)(7) and 18 + (–4) are equal.

Using the property [-x × y = -xy]:

Using the property [x + (-a) = x - a]:

Assuming that (2)(-7) and 4 - 18 are equal.

Using the property [-x × y = -xy]:

Therefore, Option D is correct.

Answer:

V = π(2.5)²(7)

Step-by-step explanation:

Given:

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches.

To Find:

which equation could be used to determine the volume, in cubic inches, of the vase?

Solve:

Formula for cylinder volume:  Volume = πr²h

Where,

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

Knowing that:

Diameter = 5 in

Height = 7 in

Radius = 2.5                    {Radius is half of diameter so 5/2 = 2.5}

Thus, a equation could be use is:

V = π(2.5)²(7)

Kavinsky

The given statement can be written as:

6+√-80

To solve √-80 re-write -80 as -1 * 80

Now √-80 =√-1 * 80

Now we can write it as:

6+ √-1 * √80

We know that √-1 = i

Thus it becomes:

6+ i√80

Now find the square root of 80

80 does not have a perfect square root

Its square root can be found as 80 = 4*4*5

Then,

6+i√4*4*5

Notice that 4 makes a pair.. So we will write it outside the square root

6+1*4√5

We will write it as:

6+4i√5

Thus the correct option is 6 plus 4 i times the square root of 5....

Answer:

-10x + 4y = -53

Step-by-step explanation:

-5x+2y = -29

5x - 2y = 24

subtract both values from up to down

-5x - 5x = -10x

2y - (-2y) = 4y

-29 - 24 = -53

-10x + 4y = -53

Answer:

Step 1-Write an equation, letting x represent Kareem’s age:

(x + 3) + x + 2 x = 33

Step 2-Solve the equation:

(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.

Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.

Which corrects the student’s first error?

1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.

2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.

3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.

4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.