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3 years ago

Can anyone please help me please??

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

a square is a rectangle soo rectangle

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Right △ABC has its right angle at C, BC=4 , and AC=8 .

PolarNik [594]

Answer:

Part A) $sin(A)=\frac{\sqrt{5}}{5}$

Part B) $tan(B)=2$

Part C) $sec(A)=\frac{\sqrt{5}}{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse of the right triangle)

Applying the Pythagorean Theorem

$AB^2=BC^2+AC^2$

substitute the given values

$AB^2=4^2+8^2$

$AB^2=80$

$AB=\sqrt{80}\ units$

simplify

$AB=4\sqrt{5}\ units$

step 2

Find sin(A)

we know that

In the right triangle ABC

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(A)=\frac{4}{4\sqrt{5}}=\frac{\sqrt{5}}{5}$

step 3

Find tan(B)

we know that

$tan(B)=\frac{AC}{BC}$ ----> by TOA (opposite side divided by adjacent side)

substitute the values

$tan(B)=\frac{8}{4}=2$

step 4

Find sec(A)

we know that

$sec(A)=\frac{1}{cos(A)}$

$cos(A)=\frac{AC}{AB}$ ----> by CAH

$sec(A)=\frac{AB}{AC}$

substitute the values

$sec(A)=\frac{4\sqrt{5}}{8}$

simplify

$sec(A)=\frac{\sqrt{5}}{2}$

3 0

4 years ago

Write an expression for the calculation 84 divided in sevenths added to 9 divided into thirds.

Bas_tet [7]

Https://www.dropbox.com/s/teq5uhme9jpwma0/Screenshot%202016-10-18%2008.24.17.png?dl=0

6 0

3 years ago

A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at

ankoles [38]

Answer:

1km per minute

Step-by-step explanation:

Given the table in the picture :

The average rate of change over the interval from 8 to 15 minutes will be :

Change in distance / change in time

Change in distance between 8 and 15 minutes :

Distance d1 at 8 minutes t1 = 7km

Distance d2 at 15 minutes t2 = 14km

Average rate of change = (d2 - d1) / (t2 - t1)

Average rate of change = (14 - 7)km / (15 - 8)min

Average rate of change = 7km / 7minutes

Average rate of change = 1km per minute

6 0

4 years ago

Which ordered pair in the form (a, b) is a solution of this equation?

Evgen [1.6K]

3a - 4b = 21

check (-2 , -3)

3(-2) -4(-3) =21

-6 +12 = 21

6 does not = 21 so NO

check (0 , 7)

3(0) -4(7) =21

0-28=21

-28 does not equal 21 so NO

check (-3 , -2)

3(-3) -4(-2) =21

-9 +8 = 21

1 does not = 21 so NO

check (7 , 0)

3(7) -4(0) =21

21 = 21

Choice D

5 0

4 years ago

The number line below represents the solution of x>7 is 7.1 a solution

andrezito [222]

Yes it would be 7.1 is greater than 7

4 0

3 years ago