Question
Find the Surface Area of the Square Pyramid.
6 m
4 m

Answer:

34.2 ; 105.8 ; 12.0

Step-by-step explanation:

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

c² = a² + b² - 2abcosC

~~~~~~~~~~~~

sinB = [tex]\frac{bsinA}{a}[/tex]

sinB = 7sin40° ÷ 8 ≈  0.562439

m∠B ≈ 34.2°

m∠C = 180° - ( 40° + 34.2° ) = 105.8°

c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87

c ≈ 12.0 units

Answer:

B or C

Step-by-step explanation:

if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.

Answer:

Step-by-step explanation:

Five rational number from 68 to 72

69, 70 , 71, 71.1 , 71.2

Answer:

$13.4

Step-by-step explanation:

Given that :

Tip percentage = 20%

Amount of bill = $67.13

Rounding the bill Amount to then nearest dollar :

$67.13 = $67

Tip amount = 20% of $67

Tip amount = 0.2 * $67

Tip amount = $13.4

Answer:

m = -4

Step-by-step explanation:

The given y= -4x + 5 exactly matches the format of the slope-intercept equation   y = mx + b.

Thus, the gradient (slope) of the given line is -4.

Answer:

(5/1)(4-0)-(-5)(-4-3)

Step-by-step explanation:

You could also get an undefined number by putting any number divided by 0.

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

Answer: 500 cables

Step-by-step explanation:

The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.

Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:

= 10 × 50

= 500 cables

120 is the correct answer

Answer:

120

Step-by-step explanation:

The ! denotes a factorial, 5! is simply:

5 * 4 * 3 * 2 * 1 = 120

Answer:

the answer is A

Step-by-step explanation:

its because -4 is the coldest and 3 is the warmest out of the rest

Answer:

Number of additional inches= x

Number of additional topping= y

Total cost= 8+1.5(x)+0.75(y)

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hope it helps...

have a great day!!

Answer:

20

Step-by-step explanation:

a²+b²=c²

25²-15²=b²

625-225=b²

400=b²

√400=√b²

20=b

Answer:

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Required

Solve, in terms of i

We have:

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Solve the expressions in bracket

[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]

[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]

Express -4 as 4 * -1

[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]

Split

[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]

In complex numbers;

[tex]i = \sqrt{-1[/tex]

So, we have:

[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]

[tex]x = \frac{6 \± 2i}{2}[/tex]

Factorize

[tex]x = \frac{2(3 \± i)}{2}[/tex]

[tex]x = 3 \± i[/tex]

Split

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Answer:

c. 2.5

Step-by-step explanation:

4×2.5 => 10

6×2.5 => 15

so scale factor = 2.5

                 .................................................................................                    

Answer:

20 students

Step-by-step explanation:

Given that

There are 200 students surveyed

And, the percentage of each games is as follows;

For tennis it is 10%

For basketball it is 30%

For football it is 35%

for baseball it is 25%

We need to find the number of students choose tennis

So, it should be

= 10% of 200

= 20 students

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Answer:

Length = 6.5 meters

Width = 4.5 meters

Step-by-step explanation:

Given,

Perimeter of a rectangle is twice the sum of it's length and width.

Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters

perimeter of the rectangle,

2{x+(x-2)} meters which is 22 meters (given)

so,

2{x+(x-2)}=22

or, 2(x+x-2)=22

or, 2(2x-2)=22

or, 2x-2=11

or, 2x=13

or, x=6.5

so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.

Answered by GAUTHMATH

Answer:

O B. (2x+3)(x + 4)

Step-by-step explanation:

[tex]2x^{2} +11x+12[/tex]

[tex]2x^{2} +8x+3x+12[/tex]

[tex]2x(x+4)+3(x+4)[/tex]

[tex](2x+3)(x+4)[/tex]

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

[tex] \frac{1}{2} \times (8 + 14) \times 4[/tex]

[tex] \frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3} [/tex]

Volume=Area or trapezium x Height between trapezium ends

[tex] = 44 \times 10 \\ = 440 {cm}^{3} [/tex]

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

Step-by-step explanation:

m3= 29%

m6= 35%

m7= 90%

Answer:

B) 5 units

Step-by-step explanation:

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two pints are given below.

(0, 2) and (5, 2)

Then the distance between these points (0, 2) and (5, 2) will be given as,

D² = (5 - 0)² + (2 - 2)²

D² = 5²

D = 5 units

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

Learn more about the distance between two points here:

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Answer:

yeah me too

Step-by-step explanation:

The area of the sector that is not shaded is 120π units²

Option C is the correct answer

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

The circle has 360°.

This can be written as,

Area = πr² x 360/360

Now,

The area of the not-shaded part has (360 - 60)°

So,

Area = πr² x 300/360

Now,

r = 12 units

Area = π x 12 x 12 x 300/360

Area = 120π units²

Thus,

The area of the sector that is not shaded is 120π units²

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Answer:

Table A

Step-by-step explanation:

None of the numbers in the x values are repeating

Answer:No

Step-by-step explanation: It is on 3x-3

The point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have a line:

y = 2x - 3

If the point (15, 29) is on the lie then it must satisfy the line.

Therefore putting this point in the equation of the line.

Put x = 15, and y = 29, we get:

29 = 2×15 - 3

     = 30 - 3

29 ≠ 27

29 cannot be equal to 27 it means the point (15, 29) does not satisfy the line and the point is not lying on the line.

Thus, the point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.

Learn more about the linear equation here:

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