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2 years ago

Given right triangle JKL, what is the value of cos(L)?

Mathematics

1 answer:

brilliants [131]2 years ago

5 0

The value of cos(L) in the triangle is Five-thirteenths

<h3>What are right triangles?</h3>

Right triangles are triangles whose one of its angle has a measure of 90 degrees

<h3>How to determine the value of cos(L)?</h3>

The value of a cosine function is calculated as:

cos(L) = Adjacent/Hypotenuse

The hypotenuse is calculated as

Hypotenuse^2 = Opposite^2 + Adjacent^2

So, we have:

Hypotenuse^2 = 12^2 + 5^2

Evaluate

Hypotenuse^2 = 169

Take the square root of both sides

Hypotenuse = 13

So, we have

Adjacent = 5

Hypotenuse = 13

Recall that

cos(L) = Adjacent/Hypotenuse

This gives

cos(L) = 5/13

Hence, the value of cos(L) in the triangle is Five-thirteenths

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that

tankabanditka [31]

Answer:

1442

Step-by-step explanation:

Given,

Mean is,

$\mu = 20.4$

Standard deviation,

$\sigma = 8.8$ ,

Margin of error(E) = 0.54,

For 98% level of confidence, $z_{\frac{\alpha}{2}} = 2.33$

Thus, the sample size would be,

$n=[\frac{z_{\frac{\alpha}{2}}\times \sigma}{E}]^2$

$=[\frac{2.33\times 8.8}{0.54}]^2$

$=1441.74902606$

$\approx 1442$

6 0

3 years ago

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Tema [17]

Step 1) Divide up the figure

In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.

Step 2) Find the area of each shape in the figure

Triangle: A = 1/2 x 6 x 9 = 27

Small rectangle: A = 3 x 18 = 54

Large rectangle (center): A = 8 x 14 = 112

Large rectangle (bottom): A = 5 x 9 = 45

Step 3) Add the area of each shape together

A = 27 + 54 + 112 + 45 = 238 square inches

Hope this helps! :)

7 0

3 years ago

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SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Strike441 [17]

Answer:

105.12 ft^2

Step-by-step explanation:

Area of a rectangle: bh

In this case 8*10.... so area of the rectangle is 80

Area of a circle: pir^2

Half it for a semicircle.

so 1/2 pi r^2

radius is 4 cuz its half of 8.

so 1/2(3.14)(4^2)=(0.5)(3.14)(16)=25.12

Now add up 80+25.12

Total is 105.12

Hope I helped :)

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3 years ago

Solve equation -15+n= -9

Veronika [31]

Answer:

-6

Step-by-step explanation:

3 0

3 years ago

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Mila’s dog weighs 4 pounds more than eight times the way of keikos dog which expression could be used to find the way of Milan’s

Hunter-Best [27]

X= weight of Keiko's dog
m= weight of Milan's dog

Weight of Milan's dog's equals (8 times the weight of Keiko's dog) plus 4 pounds.

Expression: m= 8x + 4

Hope this helps! :)

6 0

3 years ago