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3 years ago

In △JKL, the measure of ZL=90°, KL = 11 feet, and JK = 32 feet. Find the measure of

Mathematics

1 answer:

Tanzania [10]3 years ago

5 0

Answer:

x = 20.1 degrees

Step-by-step explanation:

Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.

Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.

Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.

x= 20.1

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The number of windows on each floor form an arithmetic sequence; 124 windows on the first floor, 116 windows on the second floor

zubka84 [21]

Answer:

Formula is 132 - 8n, and there are 52 windows on 10th floor.

Step-by-step explanation:

difference = 116-124 = -8 ( 8 less windows for every floor you go up)

the first fllor has 124 windows

Formula:

$a_{1} = 124$

$a_{n} = 124 + (-8)(n - 1)$ = 132 - 8n

10th Floor:

$a_{10} = 124 + (-8)(10 - 1) = 124 + (-8)(9) = 124 - 72 = 52 windows$

6 0

3 years ago

A trapezoid has four sides with two sides that are the same length. Let the two sides have length x. The longest side has a leng

Oduvanchick [21]

Answer:

fx21

Step-by-step explanation:

5 0

3 years ago

Please

igomit [66]

x=1/4y+2

−4x+3y=4-------> substitution method

-4(1/4y+2)+3y=4

-y-8+3y=4- --------> 2y=4+8- ----->y=6

x=1/4y+2- -----> ¼(6)+2=7/2

the answer is (7/2,6)

5 0

3 years ago

PLEASE I need help GeoMETRY

9966 [12]

Answer:

2. 2.3

3. 37.2 m

Step-by-step explanation:

2. tan theta = opposite/ adjacent

tan 25 = x/5

Multiply each side by 5

5 tan 25 = x/5 *5

5 tan 25 = x

2.331538291

To the nearest tenth

2.3 =x

3. We want to find the height or y

sin theta = opposite/ hypotenuse

sin 60 = y /43

Multiply each side by 43

43 sin 60 = y/43 * 43

43 sin 60 = y

37.23909236 = y

To the nearest tenth

37.2 =y

The light pole is 37.2 meters tall

5 0

3 years ago

Use unit multipliers to convert 50 square meters to square inches

Lady bird [3.3K]

50 square meters is equal to 77500 square inches

Solution:

Given that we have to convert 50 square meters to square inches

Use the following conversion factor

1 meter is equal to 39.3701 inch

That is,

$1\ meter = 39.3701\ inch$

Now frame the conversion factor for square meters to square inches

$1\ meter\ \times meter = 39.3701 \times 39.3701\ inch\ \times inch\\\\1\ m^2 = 1550\ in^2$

Now convert 50 square meters to square inches

Muliply both the sides by 50

$1 \times 50\ m^2 = 1550 \times 50\ in^2\\\\50\ m^2 = 77500\ in^2$

Thus 50 square meters is equal to 77500 square inches

4 0

3 years ago