MATHEMATICS MIDDLE SCHOOL

4.35 divided by 5? does anyone know??????

Answers

Answer 1

Answer: .87 is correct you can always check your work with an online calculator. :)

Answer 2

Answer:

Answer:

0.87

Step-by-step explanation:

I got it right UwU

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What percent of 126 is 22?

Answers

$(22)/(126)\cdot100\%=(11)/(63)\cdot100\%=(1100)/(63)\%=17(29)/(63)\%\approx17.46\%$

22/126 = 17.46%
or
126 × .25 = 17.46%

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees. Find the distance to the boat.not sure how to solve this..

Answers

Answer:

As per the statement:

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.

We draw the figure for this problem as shown below:

Height of the lighthouse(BC) = 100 foot

Angle of depression = 20 degrees.

Since, angle of depression is equal to the angles of elevation

i.e, $\angle DCA = \angle CAB = 20^(\circ)$

using tangent ratio:

$\tan \theta = \frac{\text{opposite side}}{\text{adjacent side}}$

Here,

Opposite side = BC = 100 foot

Adjacent side = AB

Angle of elevation: $\theta = 20^(\circ)$

Substitute these to solve for AB:

$\tan 20^(\circ) = \frac{100}{\text{AB}}$

$\text{AB} =(100)/(\tan 20^(\circ))$

$\text{AB} =(100)/(0.36397023426)$

Simplify:

AB = 294.375362123 foot

Therefore, the distance to the boat approximately is 294.4 foot

Final answer:

By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.

Explanation:

In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.

Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).

Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.

Learn more about Trigonometry here:

brainly.com/question/11016599

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Find the geometric mean of the numbers. If necessary, give the awnser in simplest form. 2/3 and 1/2.The geometric mean is ____

Answers

Answer:

Geometric mean = 1/√3 or 0.58

Step-by-step explanation:

We have to find the geometric mean of the 2/3 and 1/2.

To find the geometric mean of n terms we use the formula

Geometric mean = $\sqrt[n]{a_(1)* a_(2)* a_(3)....a_(n)}$

By putting the values in the formula

Geometric mean $=\sqrt{(2)/(3)* (1)/(2)}$

$\sqrt{(2)/(6)}=(1)/(√(3) )$

geometric mean = 0.58

Answer:

0.577

Step-by-step explanation:

We are given the following two numbers and we are to find their geometric mean:

$\frac {2} {3}$ and $\frac {1} {2}$

We know the formula for finding the geometric mean:

Geometric mean = $\sqrt[n]{a_1.a_2.a_3...a_n}$

So putting in the given values in the above formula to get:

Geometric mean= $\sqrt [2] {\frac {2} {3} .\frac {1} {2} }$ = $\sqrt {\frac {1} {3} }$

Geometric mean = 0.577

Your aunt bought a new car. After three months of car payments she owed a total of $22,275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank for the car loan. What was her average payment rate on the principal of the car loan during this time?

Answers

Given:
Balance after 3 months = 22,275
Balance after 12 months = 18,900

$22,275 - $18,900 = $3,375

12 months - 3 months = 9 months

3,375 / 9 months = $375 per month.

375 x 12 = 4,500
4,500 + 18,900 = 23,400 principal amount.

375 / 23400 = 0.016
0.016 x 100% = 1.60%

The principal of the car loan is $23,400
The interest rate of the car loan is 1.60%
The monthly payment is $375.

Answer:

You can find the rate of change by dividing the difference in the principal owed by the difference in the number of months.

18,900 – 22,275 / 12 – 3 = -375

The average payment is $375 per month.

Numbers 15-16 triangles, "Identify similar figures and find missing lengths"

Answers

15.
Rectangles A and B are not similar, because 3/2.5 is 1.2, while 5/4.5 is about 1.1. This means that the two rectangles cannot be increased or decreased by any scale factors to equal each other. Rectangles A and C are not similar, because 3/10 is 0.3, while 5/18 is about 2.8. Rectangles B and C, however, are similar, because 2.5/10 is 0.25, and 4.5/18 is 0.25 as well. This means that Rectangle B can be increased using a scale factor of 4 to make it equal to Rectangle C.

16.
Yes. All squares are similar because, by definition, all the sides of a square are the same. This means that there is only one value to consider when finding out whether or not another square is similar to it. All numbers are divisible by another number, even if the quotient is a decimal, meaning that all squares are similar.

Write three examples of decimals that have a 5 I the hundredths place

Answers

3.457
0.251
9.354

The first number in front of the decimal (.), is in the tenths place. The number after the tenth place is the hundredth place. After that is the thousandths and it keeps going.

3.457
6.952
17.350

The hundreths place is the second place to the left of the decimal point(.) .

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