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2 years ago

Which best describes the error in finding the missing length of the triangle?

Mathematics

1 answer:

Paul [167]2 years ago

5 0

Answer:

24 ft

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

7^2 - 25^2 = -b^2

49 - 625 = -b^2

-576 = -b^2

24 = b

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alfred deposited $893.78 in a savings account that earns 2.2% simple interest. What is alfreds account balance after seven years

ASHA 777 [7]

Hello! The formula for finding simple interest is prt. That means multiply the principal (initial amount) by the rate (percentage) by time (months or years). The principal is $893.78 and the interest rate is 2.2%. 893.78 * 2.2% (0.022) is 19.66316. Do not delete that number. The time is 7 years. Now multiply that number by 7 in order to get 137.64212 or $137.64 when rounded to the nearest whole hundredth. Now, let's add both numbers. 893.78 + 137.64 is 1,031.42. There. Alfred's balance after seven years is $1,031.42.

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3 years ago

Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water

Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - $\frac{Q(t)}{400}$

i.e. $\frac{dQ}{dt} =\frac{-Q(t)}{400}$

This is a variable separable equation

$\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}$

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = $70 e^{-\frac{t}{400}}$ and

A(0) = Q(0) = 70 lbs.

7 0

3 years ago

Eight less than a number divided by seven equals 2

madreJ [45]

Answer:

x=12

Step-by-step explanation:

（X-8)/7=2

X-8=14

X=22

7 0

3 years ago

Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply

Lerok [7]

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

7 0

3 years ago

How do you work out 510 divided by 15

Gala2k [10]

Answer:

Step-by-step explanation:

3 0

2 years ago