All categories

3 years ago

In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 7 in.?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

6 0

Answer:

the length of the hypotenuse is 14 in

Step-by-step explanation:

Focus on the 30 degree angle. Recall that the sine of an angle is defined as

opposite side

sin Ф = ----------------------

hypotenuse

and that sin 30° is always 1/2.

7 in 1

Then sin 30° = ------------------- must equal -----

hypotenuse 2

After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),

so that the length of the hypotenuse is 14 in.

You might be interested in

Question 5 Unsaved

kicyunya [14]

Its {3, 3, 6, 7, 9}

because the difference in values of 6 and the other numbers are the same as difference between 5 and the other numbers in { 2, 2, 5, 6, 8}

8 0

3 years ago

Read 2 more answers

Diagram/ algebra please help asap needs to be done now

Firlakuza [10]

Answer: $20\ cm$

Step-by-step explanation:

For this exercise you need to remember that a Square is defined as a Quadrilateral whose sides are equal in lenght and all its interios angles measure 90 degrees.

Based on that definition, and observing the squarE given in the picture attached, you can write the following equation:

$6x-1=4x+6$

Then, you need to solve for the variable "x" in order to find its value. You get that this is:

$6x-4x-1=6\\\\2x-1=6\\\\2x=6+1\\\\2x=7\\\\x=\frac{7}{2}\\\\x=3.5$

Now, knowing the value of "x" you can susbstitute it into any expression that represents the side of the square, and then you must evaluate in order to find the lenght of the side.

You get:

$(6x-1)\ cm=(6(3.5)-1)\ cm=(21-1)\ cm=20\ cm$

7 0

3 years ago

The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.

Dimas [21]

6x-5=4x+5
+5

6x=4x + 0
-4x
2x=0
x =0

probably to late but whatever

4 0

3 years ago

a recipe recalls for Papaya juice and carrot juice. the equation represents the proportional relationship between the number of

Temka [501]

Google says. ..

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.

Now let's do it

2. 2 is not shown in the picture

3. 2 1/2 sugar/7 1/2 flour = x sugar/1 flour

cross multiply: 2 1/2/7 1/2 = x/1
7 1/2x = 1(2 1/2) ... 15/2x = 5/2 ... x=5/2×2/15= 1/3
answer: 1/3 cup sugar = 1 cup flour ... 1/3s:1f

5. 1 1/3p/3 1/3c = ₩p/1c

cross multiply: (1 1/3)/(3 1/3) = ₩/1
3 1/3₩= 1(1 1/3) ... 10/3₩=4/3 ... ₩=4/3×3/10
₩=4/10=2/5 qt papaya
2/5 qt papaya = 1 qt carrot ... 2/5p:1c

5 0

4 years ago

What is the measurement shown ?

Elodia [21]

answers:

3.5

2.875

about 3.0625

Use thing below for answers

7 0

3 years ago