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ki77a [65]
3 years ago
10

A: 5. 2B: 8. 4C: 4. 7D: 7. 8​

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

Step-by-step explanation:

Ah...right triangle trig. Gotta love this stuff (you better, because it never goes away!). We need to remember SohCahToa which tells us that the sin of an angle is equal to the side opposite the angle over the hypotenuse; the cos of an angle is equal to the side adjacent to the angle over the hypotenuse; the tan of an angle is equal to the side opposite the angle over the side adjacent the angle. x is the side across from our given angle, while 7 is the side adjacent. That means that we will use the tangent ratio to solve.

tan\theta=\frac{opp}{adj} and filling in:

tan48=\frac{x}{7}. Solving for x:

7tan(48) = x. Do this on your calculator in DEGREE mode (NOT radians!) to get that x = 7.77 which rounds nicely to D: 7.8

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beks73 [17]
\bf \boxed{x}=y-7
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3x-3\implies 3\left( \boxed{y-7} \right)-3\implies 3y-21-3\implies 3y-24
7 0
3 years ago
Using the following picture which side is the hypotenuse?
mylen [45]

Hi!

A <u>hypotenuse</u> is the longest leg in a right triangle.

A <u>right triangle</u> is a triangle that has one 90 degree angle.

The hypotenuse is always directly across from the right angle.

In pictures, right angles are represented by a square.

<u><em>Therefore, the side with the hypotenuse is side 3</em></u>, because we can see that the angle between side 1 and side 2 is the right angle, and the hypotenuse would be directly across.

<u><em>For more information, see:</em></u>

brainly.com/question/21440624

<u><em>For information about parts of a right triangle, see:</em></u>

brainly.com/question/22137749

Image = other parts of a right triangle:

3 0
2 years ago
Chaney deposits $1435.73 into a savings account that pays a simple annual interest rate of 1.32%. How much interest will she ear
Aneli [31]

Answer:

Interest Chaney earns after 3 years is  $56.85

Step-by-step explanation:

Given:

Amount deposited = $1435.73

Simple annual interest rate = 1.32% = 1.32/ 100 = 0.0132

To find: Interest after 3 years

We know that the formula to calculate the interest amount is

Simple interest (S.I.) = \frac{Prt}{100}

where,

P is the initial amount deposited

r is the rate of simple interest in percentage

t is the time in years for which interest is to be calculated

Substituting the known values in the formula, we get

S.I = \frac{1435.73 x 1.32 x 3}{100}

    = 56.85

Hence the interest Chaney earns after 3 years is  $56.85

8 0
3 years ago
When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a
kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

\frac{1}{10} \times 100 = 10

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0
3 years ago
3a. Write an equation in slope-intercept form of a<br> line that passes through (2,1) and (6,-5).
eimsori [14]

Answer:

y =- 3/2x + 4

Step-by-step explanation:

(2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide-  through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4

5 0
3 years ago
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