The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
I NEED HELP ASAP

9514 1404 393

Answer:

  1. 3(0.96059601^t) = 15; t = -40.03

  2. 4.121204(1.01^t) = 8; t = 66.66

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

The solution for an exponential problem using logarithms is ...

  a·b^x = c   ⇒   log(c/a)/log(b) = x

_____

1. Rewrite: (3)(0.99^4)^t = 15  ⇒  3(0.96059601^t) = 15

Solution: t = log(15/3)/log(0.96059601) ≈ -40.03

__

2. Rewrite: 4(1.01^3)(1.01^t) = 8  ⇒  4.121204(1.01^t) = 8

Solution: t = log(8/4.121204)/log(1.01) ≈ 66.66

Answer:

Use 1.75 cups of blue and 1 cup of yellow

Step-by-step explanation:

The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.

Answer:

175+(25*∞d)

Step-by-step explanation:

So d will represent the days which we don't know yet

100 + 50 + 25 + 25d

175+25d

and in this case it will be infinite the amount of days so

175+(25*∞d)

The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Given,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.

It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.

Example:

2, 4, 8, 16, 32

Common ratio = 4/2 = 8/4 = 16/8 = 2

The sum of the nth term of a geometric sequence is given by:

S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)

We see that,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

This is a geometric sequence.

Find the sequence.

100, 50, 25, ,,,,,,, ∞

Here,

The common ratio is:

r = 50 / 100 = 25/50 = 1/2

i.e r < 1

Find the sum of at ∞.

Now,

a = 100

r = 1/2

n = ∞

From (2)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]

S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]

S = 100 [ 1 / 0.5 ]

S = 100 / 0.5

S = 200

Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Learn more about geometric sequences here:

https://brainly.com/question/11266123

#SPJ2

Answer:

y=4

Step-by-step explanation:

2(6 + 2y) = 28

(6 x 2 + 2y x 2) = 28

(12 + 4y) = 28

12 + 4y = 28

 12 + -12 + 4y = 28 + -12

 12 + -12 = 0

0 + 4y = 28 + -12

4y = 28 + -12

 28 + -12 = 16

4y = 16

16\4

 y = 4

Answer:

hello as I think the answer is X= 6

Answer:

6

Step-by-step explanation:

Given

- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side

- 6x - 4 > - 8x + 6 ( add 8x to both sides )

2x - 4 > 6 ( add 4 to both sides )

2x > 10 ( divide both sides by 2 )

x > 5

The only value on the list greater than 5 is 6

Then 6 is in the solution set

Answer:

perpendicualr

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Ab = 7 x 2 = 14

V = 14 x 6 = 84

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Answer:

There's no question.

Step-by-step explanation:

Answer:18

Step-by-step explanation:

Given

The school has 200 boys and 300 girls

The ratio of boys and girls is 2:3

If 45 seventh grade students are selected then the ratio of boys and girls remain the same

suppose there are 2x boys and 3x girls, such that ratio is 2:3

[tex]\Rightarrow 2x+3x=45\\\Rightarrow 5x=45\\\Rightarrow x=9[/tex]

No of the boys are [tex]2x=2\times 9=18[/tex]

Answer:

18

Step-by-step explanation:

what the another person said

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Answer:

a)=80cm^2  b)=42cm^2

Step-by-step explanation:

10x8=80

7x6=42

add cm^2 at the end

Answer:

1. +25

2. +14

3. -10

4. -3

5. +2

Step-by-step explanation:

I hope these help , please tell me if i got any incorrect or misunderstood!

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Answer: 100

Step-by-step explanation:

2 x 102 = 204 and 1 x 104 = 104.

204 — 104 = 100.

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

Answer:

C

Step-by-step explanation:

Since we are given three sides and we want to find an angle, we can use the law of cosines.

The law of cosines is given by:

[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]

In this case, a = 3, b = 5, and c = 7. Therefore:

[tex](5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)[/tex]

Evaluate:

[tex]25=58-42\cos(B)[/tex]

Therefore:

[tex]-42\cos(B)=-33[/tex]

Dividing both sides:

[tex]\displaystyle \cos(B)=\frac{33}{42}[/tex]

And by taking the inverse cosine of both sides:

[tex]\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ[/tex]

Our answer is C.

Answer:

38°

Step-by-step explanation:

Answer:

x =10

Step-by-step explanation:

Using the pythagoras theorem om one of the right triangle;

(√74)² = (x/2)²+7²

74 = (x/2)²+49

(x/2)² = 74 - 49

(x/2)² = 25

Square root both sides

√ (x/2)² = ±√25

x/2 = ±5

x = 2 * ±5

x = ±10

Hence the value of x is 10

Answer:

13

Step-by-step explanation:

8/2=16/4

=4

x-3=2.5*4

x=10+3

x=13

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            

Answer:

3y-5 would be your equation

Step-by-step explanation:

Answer:

H-u-H?!

Step-by-step explanation:

Answer:

In about 2018, we will have the population at 30 million

Step-by-step explanation:

Here, we want to get the year in which the population of Texas will reach 30 million

What we have to do here is to substitute f(x) for 30; then get the value of x at this point

We proceed as follows;

30 = 21(1.02)^x

30/21 = 1.02^x

1.42857 = 1.02^x

ln 1. 148257 = ln 1.02^x

ln 1.148257 = x ln 1.02

ln 1.42857/ln 1.02 = x

x = 18 approximately

Adding this to the initial 2000, we have 2018

Answer:168

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

We can use the information provided to plug it into a...

Fomula to find a volume of a cylinder:

V=πr^2h

V=π(10)^2(15)

V≈4712.39ft

Answer: terminating decimal

Step-by-step explanation:    :)

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

Answer:

p=2L+2W

34mm=(2×8)+2W

34mm=16+2W

2W=34mm-16mm

2W=18mm

W=9mm