Use the graph to state the solution for the system.

For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?

7nadin3 [17]

Answer:

HF

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred a

postnew [5]

Answer: 1. 210 meters per second .

2. 756 kilometers per hour.

Step-by-step explanation:

Given : The formula $S(d)=\sqrt{9.8d}$ to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

$S(d)=\sqrt{9.8\times4500}$

$S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210$

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second = $3.6\times210$ kilometers per hour

=756 kilometers per hour.

3 0

3 years ago

SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!

Pavlova-9 [17]

Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels

Step-by-step explanation:

Given function f(r)=40r+26, where r is the number of rolls of nickels she gets.

as it is already mentioned that she can get up to 10 rolls of nickels.

Therefore domain of function contains r ≤10,such that r is a natural number.

i.e.Domain of f(r)=all integers from 1 to 10, inclusive.

Domain of a f(x) is a set of values of x which make function f(x) well defined.

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Have a great day! ( :

5 0

3 years ago

Evaluate X + Y when X = 13.1 and Y = 2.2 A. 10.9 B. -10.9 C. 35.1 D. 15.3

bazaltina [42]

X +Y = 13.1 + 2.2
= 15.3

answer
D. 15.3

4 0

3 years ago

Find an equation of the line in the form ax+by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integer

Lostsunrise [7]

Answer:

The equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form $ax+by=c$ where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as $(x,0)$

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as $(0,y)$ .

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

So, slope of the line can b given as:

$m=\frac{4-0}{0-12}$

$m=\frac{4}{-12}$

$m=-\frac{1}{3}$

The slope intercept form of the equation of he line is given as:

$y=mx+b$

where $m$ represents slope of the line and $b$ represents the y-intercept.

So, the equation of the line can be given as:

$y=-\frac{1}{3}x+4$

Multiplying each term by 3 to remove fraction.

$3y=3.-\frac{1}{3}x+4(3)$

$3y=-x+12$

Adding $x$ both sides.

$3y+x=-x+x+12$

$3y+x=12$

Thus, the equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

8 0

3 years ago