In AGHI, the measure of ZI=90°, the measure of ZG=5°, and IG = 57 feet. Find the
length of GH to the nearest tenth of a foot.

Answer:

1. (top left corner) = 8km^3

2. (bottom left corner) = 243 in^3

3. (top right corner) = 200 cm^3

4. (bottom right corner) = 3165.12 m^3

Step-by-step explanation:

1. (top left corner) lwh = 4km x 2km x 1km = 8km^3

2. (bottom left corner) (lwh)/3 = (9 x 9 x 8) / 3 = 243 in^3

3. (top right corner) lwh = 5 x 5 x 8 = 200 cm^3

4. (bottom right corner) πr^2h

R = 12

3.14 x 12^2 x 7 = 3.14 x 144 x 7 = 3165.12 m^3

Answer:

[tex]\%x=5\%[/tex]

Step-by-step explanation:

From the question we are told that:

Carbon atoms in fossil function

[tex]y=5100(0.95)^x[/tex]

Generally the equation a 2 year change is mathematically given by

For[tex]x=1[/tex]

[tex]y_1=5100(0.95)^1\\y_1=4845[/tex]

For [tex]x=2[/tex]

[tex]y_2=5100(0.95)^2\\y_2=4602.75[/tex]

Generally the equation percentage year changes [tex]\%x[/tex] is mathematically given by

[tex]\%x=\frac{y_1-y_2}{y_1} *100[/tex]

[tex]\%x=\frac{4845-4602.75}{4845} *100[/tex]

[tex]\%x=5\%[/tex]

Therefore  the percent of change per year is

[tex]\%x=5\%[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Total Accrued Amount = $3,277.45

Interest Amount = $327.45

Step-by-step explanation:

A = $3,277.45

I = A - P = $327.45

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7.4%/100 = 0.074 per year.

Solving our equation:

A = 2950(1 + (0.074 × 1.5)) = 3277.45

A = $3,277.45

The total amount accrued, principal plus interest, from simple interest on a principal of $2,950.00 at a rate of 7.4% per year for 1.5 years is $3,277.45.

Answer:

Total amount: $3,277.45

Interest: $327.45

Total: 2,950(1 + (0.074 x 1.5)) = 3,277.45

Interest: 3,277.45 - 2,950 = 327.45

Step-by-step explanation:

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

Please mark me as brainliest :D

Answer:

where  is the link for the image or the picture of it because I can not see it.

Step-by-step explanation:

Answer:

10?

Step-by-step explanation:

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is [tex]85^{\circ}F[/tex] or higher

A year has 52 weeks

It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]

So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]

No of weeks can be determined by

[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex](a,b) = (0,3)[/tex]

i.e.

[tex]a = 0\\b=3[/tex]

For f(x)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]

[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]

So:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{2 - 16}{3}[/tex]

[tex]Rate = -\frac{14}{3}[/tex]

For g(x)

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]

From the table of g(x)

[tex]g(3) = 1[/tex]

[tex]g(1) = 27[/tex]

So:

[tex]Rate = \frac{1 - 27}{3}[/tex]

[tex]Rate = -\frac{26}{3}[/tex]

For h(x)

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]

From the graph of h(x)

[tex]h(3) = -3[/tex]

[tex]h(0) = 4[/tex]

So:

[tex]Rate = \frac{-3 - 4}{3}[/tex]

[tex]Rate = -\frac{7}{3}[/tex]

So, the calculated rates of change are:

[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]

[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]

[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

Answer: IN THIS ORDER!!   g(x), f(x), h(x).

Answer:

Step-by-step explanation:

Given function:

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

The given function has:

Find the value of b:

The function is:

The y-coordinate of the vertex is:

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = [tex] \frac{ - b}{2a} [/tex]

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.

Answer:

Hello! To find the answer you have to use the formula C=2 square x pie x the area. So the answer would be C= 90.17

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

Given data

Length=50cm

Width= 30cm

Volume = 36liters

=36000cm^3

We know that the expression for volume is

V= L*W*H

substitute

36000=50*30*H

36000= 1500*H

H= 36000/1500

H= 24cm

Hence the height is 24cm

Answer:

261.8 cm^3

Step-by-step explanation:

1) find the base area

base area = radius^2 x pi = 5^2 x pi = 25 x pi = 78,539816 cm^2

2) find the volume

V = (base area x height)/3 = (78.539816 x 10)/3 = 785.3/3 = 261.8 cm^3

Answer:

B) 25

Step-by-step explanation:

√25=±5

Answer:

3.76

Step-by-step explanation:

Esther uses 9.4 pints of blur paint and white pant for her bedroom

3/5 of this amount is blue paint while the rest is white paint

3/5

= 0.6×100

= 60

Therefore the amount of white paint can be calculated as follows

40/100 × 9.4

= 0.4×9.4

= 3.76

To find the area of a triangle we use this equation:

[tex]\frac{1}{2} bh\\[/tex]

b= base

h= height

So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:

[tex]\frac{(6)(5)}{2}[/tex]= 15

So the are is 15 inches sqaured, hope this helps :)

The answer would be 13.25 :)).

Answer:

5 3/4

Step-by-step explanation:

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's

Answer:

288

Step-by-step explanation:

{(23 + 7^2)(2^2)

{(23+49)(4)}

(23 x 4) + (49 x 4)

92 + 196

288

The solution is, the surface area of the right cone is 602 cm^2.

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

here, we have,

Given that,

The slant height of the cone, l = 16 cm

The radius of the cone, r = 8 cm

The height of the cone is :

h² = l² - r²

or, h² = 16² - 8²

         = 192

or, h = √192

       = 13.85

now, we know that,

The surface area of the cone is given by :

SA = πr² + πrl

     =200.96 + 401.92

     = 601.93

     =602

Hence,  the surface area of the right cone is 602 cm^2.

to learn more on surface area of cone click:

brainly.com/question/1984638

#SPJ2

Answer:

The domain is (-∞,∞)

Step-by-step explanation:

Since there's no limit to this function, the values are infinity.

Answer:its actually 20%

Step-by-step explanation:

I looked it up