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3 years ago

How to find legs with a hypotenuse and an angle

Mathematics

1 answer:

alexandr1967 [171]3 years ago

3 0

Answer:

Step-by-step explanation:

You can use SOH or CAH to find one of the sides

and then just a²+b²=c² to find the last one

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Examine the diagram, where BD¯¯¯¯¯¯¯¯

Sidana [21]

The value of x based on the tangent-secant theorem is: 19.

Recall:

The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.

Applying the tangent-secant theorem or rule, we will have this equation:

$AB \times EB= DB^{2}$

AB = $(x-7)+4 = x -3$

EB = 4

Substitute:

$(x - 3)(4) = 8^{2} \\\\4x - 12 = 64\\\\$

Add 12 to both sides

$4x = 64 +12\\\\4x = 76$

Divide both sides by 4

x = 19

Therefore the value of x is 19.

Learn more here:

brainly.com/question/9330100

4 0

3 years ago

The question is in the pic

koban [17]

Answer:

The answer is E.

Step-by-step explanation:

Divide it into rectangles

3 0

2 years ago

A web ad can be designed from four different colors, three font types, five sizes, three images, and five text phrases. A specif

jeka57 [31]

Answer:

a. 3/4

b. 1/2

c. 5/6

Step-by-step explanation:

From the question, We are given that:

4 different colours, 3 different font types, 5 sizes, 3 images, 5 text phrases.

If event A is the event that the design color is red, then:

P(A) = 1/4

P(A') = 1 - 1/4 = 3/4.

If event B is the event that the font size is not the smallest one, then:

P(B) = 2/3

P(B')= 1 - 2/3 = 1/3.

P(AnB) = 1/4 * 2/3 = 2/12=1/6

P(AnB')=1/4 * 1/3 = 1/12

P(A'nB') = 3/4 * 1/3=1/4

Solving the questions,

a. P(AuB) = P(A) + P(B) - P(AnB)

P(AuB) =(1/4) + (2/3) -(1/6)

P(AuB) = 9/12

P(AuB) = 3/4

b. P(AuB') = P(A) + P(B') - P(AnB')

P(AuB') = 1/4 + 1/3 - 1/12

P(AuB') = 6/12

P(AuB') = 1/2

c. P(A'uB') = P(A') + P(B') - P(A'nB')

P(A'uB') = 3/4 + 1/3 - 1/4

P(A'uB') = 10/12

P(A'uB')=5/6

8 0

3 years ago

During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per

Pavlova-9 [17]

Answer:

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

Step-by-step explanation:

Given that:

An oak tree grows at a rate of 1.5 feet per year for twelve years;

After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.

Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.

i.e x years = 4 ft

two years later ; it height is now 6.5 ft

thus;

x year = 4 ft

x + 2 = 6.5 ft

$6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2$

Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of 3.2

So;

if 3.2 year = 4 ft

1 year = x

x = $\dfrac{4 *1 }{3.2}$

x = 1.25 ft

So if an oak tree grows at the rate of 1.5 ft in a year.

Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.

From the given information in the diagram attached below; we can infer that :

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

3 0

3 years ago

Click this link to view O'NET's Skills section for Municipal Clerks Note that common skills are listed toward the top

Alika [10]

Writing, reading comprehension

3 0

3 years ago

Read 2 more answers