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3 years ago

6

AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67 miles, determine the distan

ce between points A and B.

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

43

Step-by-step explanation:

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The Lloyd family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt. How much baking powder

bogdanovich [222]

Answer:

6 teaspoons

Step-by-step explanation:

2 teaspoons = 1/3 tsp of salt

6 teaspoons = 1 tsp of salt

This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.

So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.

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3 years ago

Two planes that do not intersect are______<br> parallel.

algol13

Answer:

Correct. Great job!

Step-by-step explanation:

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3 years ago

Read 2 more answers

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

xxMikexx [17]

Answer:

$6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

dA/A = 0.0225dt

ln(A) = 0.0225t +C . . . . integrate

A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0

3 years ago

Trigonometry<br> Trigonometric Functions <br> Given: Cos θ = (3/5), Find: Csc θ

nasty-shy [4]

The value of $\csc \theta$ is $\frac{5}{4}$

Explanation:

Given that the function $cos \ \theta$ is $cos \ \theta= \frac{3}{5}$

We need to determine the value of $\csc \theta$

<u>The value of Opposite side of the triangle:</u>

The formula for $cos \ \theta$ is given by

$cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}$

The value of opposite side can be determined using the formula,

$opp=\sqrt{hyp^2-adj^2$

$opp=\sqrt{5^2-3^2}$

$opp=\sqrt{25-9}$

$opp=\sqrt{16}=4$

Thus, the value of opposite side is 4

<u>The value of </u> $\csc \theta$ <u>:</u>

The formula for $\csc \theta$ is given by

$csc \ \theta=\frac{1}{sin \ \theta}$

First, we shall determine the value of $sin \ \theta$

The formula for $sin \ \theta$ is given by

$sin \ \theta= \frac{opp}{hyp}$

Substituting the values, we have,

$sin \ \theta= \frac{4}{5}$

Thus, the value of $sin \ \theta$ is $\frac{4}{5}$

Substituting the values in the formula for $\csc \theta$ , we have,

$csc \ \theta=\frac{1}{\frac{4}{5}}$

$csc\ \theta= \frac{5}{4}$

Hence, the value of $\csc \theta$ is $\frac{5}{4}$

5 0

3 years ago

Manuel ate 1/3 of the crackers on a plate. His brother ate 1/4 of the crackers. There were 5 crackers left on the plate. How man

rewona [7]

Answer:

12 crackers

Step-by-step explanation:

3 0

3 years ago