The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?

Answer:

the function is represented by linear because the units are the same

Answer:

ok

Step-by-step explanation:

Answer:

1. 17

2. 4

3. 3

4. 9

Step-by-step explanation:

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.

Answer:

no se

Step-by-step explanation:

The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards

From the graph given :

The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards

The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards

Hence, the coordinate of the midpoint is (150, 250)

The distance walked to school :

Distance = √(y2 - y1)² + (x2 - x1)²

Distance = √(400 - 150)² + (300 - 250)²

Distance = √250² + 50²

Distance = 254.95 yards

Therefore, the distance the boys walk to school is 254.95 yards.

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Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

Answer:

A. 26

Step-by-step explanation:

We can just put in the value of x into the equation.

x(15 - x) = 15x - x²

            = 15 × 2 - 2²

            = 30 - 4

            = 26

Answer:

20 units

Step-by-step explanation:

s = 8

Perimeter = s + s + [tex]\frac{1}{2}*s[/tex]

                [tex]= 8 + 8 + \frac{1}{2}*8[/tex]

                = 8 + 8 + 4

               = 20 units

Answer:

x

=

1

and

y

=

−

2

Explanation:

Here ,

3

x

−

2

y

=

7

...

.

→

(

1

)

5

x

+

y

=

3

...

...

→

(

2

)

Multiplying eqn.

(

2

)

by

2

and adding:

i

.

e

.

(

1

)

+

2

×

(

2

)

we get

3

x

−

2

y

=

7

10

x

+

2

y

=

6

−−−−−−−−−−−−−

13

x

+

0

=

13

∴

x

=

1

Subst.

x

=

1

into

e

q

n

.

(

2

)

we get

5

(

1

)

+

y

=

3

∴

5

+

y

=

3

∴

y

=

3

−

5

∴

y

=

−

2

Hence,

x

=

1

and

y

=

−

2

Answer:

[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]

Or, for a more simplified version:

[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]

Or, for an EVEN MORE simplified version:

[tex]y=\frac{3x-7}{2}[/tex]

Step-by-step explanation:

There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.

Also, the image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

no its not a right triangle.

Answer:

D. 14.

Step-by-step explanation:

As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!

Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.

Answer: No Solution

Step-by-step explanation: In picture

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

Answer:

200$ equals 170 euros so he will have 170 euros

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

Answer:

16.2

Step-by-step explanation:

The x is 6.6.

2x+3 = DE

2(6.6)+3

13.2+3

16.2

Hope this helps!

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)

Answer:

3:4, 30:24, 60:48

Step-by-step explanation:

Answer:

30:24

45:36

60:48

75:60

90:72

105:84

120:96

135:108

150:120

Step-by-step explanation:

hope it helps

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

Answer:9

Step-by-step explanation:

Answer:

I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol

Step-by-step explanation:

i hope it work

Answer:

Thats the FSA ummmm-

Step-by-step explanation:

Answer:

we know

Step-by-step explanation:

Answer:

(3x-8)

Step-by-step explanation:

6x^2-13x-8=(3x-8)(2x+1)

Thus, (3x-8) is one of the factors of the formula.

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

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

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

[tex]=\frac{-6}{-3}[/tex]

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

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

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

[tex]=-2[/tex]

Hope this helps.

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

Answer:

rate of 6

Step-by-step explanation:

Answer:

You're welcome

Step-by-step explanation: