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3 years ago

The diagram shows a triangle ABC.

Mathematics

1 answer:

MrRa [10]3 years ago

4 0

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = $\frac{1}{2}$ × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

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STALIN [3.7K]

Answer:

The associative property will be:

$(14\textbf{.}\frac{1}{7})\frac{2}{5}$

So, Option C is the correct option.

Step-by-step explanation:

We need to write the expression that uses the associative property to make it easier to evaluate: $14(\frac{1}{7}\textbf{.}\frac{2}{5} )$

The associative property of multiplication states that: $a(b\textbf{.}c)=(a\textbf{.}b)c$

So, For the given expression:

$14(\frac{1}{7}\textbf{.}\frac{2}{5} )$

The associative property will be:

$(14\textbf{.}\frac{1}{7})\frac{2}{5}$

So, Option C is the correct option.

4 0

3 years ago

Keiko the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

soldier1979 [14.2K]

Hey!

Hope this helps....

~~~~~~~~~~~~~~~~~~~~~~~~~

Given Information:

No client can do both Plans

On Wednesday: 3 clients did Plan A, and 2 clients did Plan B

On Thursday: 5 clients did Plan A, and 6 clients did Plan B

Keiko was training for a total of 6 hours on Wednesday, and training for a total of 12 hours on Thursday

------------------------------

We'll let t stand for length of time

Wednesday:

3t + 2t = 6

5t = 6

t = 1.2 hours > translates to 1 hour, and 12 minutes

On Wednesday, she was with her clients individually for 1 hour and 12 minutes

Thursday:

5t + 6t = 12

11t = 12

t ~ 1.1 hours > translates to about 1 hour and 6 minutes

On Thursday, she was with her clients individually for about 1 hour and 6 minutes

-----------------------

We'll let A stand for total length of time for Plan A, and B stand for total length of time for Plan B

We'll let W stand for Wednesday, and T stand for Thursday...

We'll let z stand for total amount of clients for that plan...

~~~~

We know, for Plan A, on Wednesday there were 3 clients, and Thursday there were 5 clients

We also know for Plan B, on Wednesday there were 2 clients, and Thursday there were 6 clients

~~~~~

(3W + 5T)/z = A

(3(1.2) + 5(1.1))/8 = A

(3.6 + 5.5)/8 = A

9.1/8 = A

Plan A = 1.1375 hours > 1 hour 8 minutes 15 seconds

(2W + 6T )/z ~ B

(2(1.2) + 6(1.1))/8 ~ B

(2.4 + 6.6)/8 ~ B

9/8 ~ B

Plan B ~ 1.125 hours > 1 hour 7 minutes 30 seconds

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

When ever the symbol " ~ " is used in an equation, it stands for "About"...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Sorry for the mess up before....

8 0

4 years ago

Prove the following identities.<br> cos(3pi/s+x)=sinx

kari74 [83]

$\cos \left(\frac{3\pi}{2}-x \right)=\sin x \\ \\ =\cos \left(\frac{3\pi}{2} \right)\cos x -\sin \left(\frac{3\pi}{2} \right) \sin x \\ \\ =0\cos x -(-1)(\sin x) \\ \\ =\sin x$

3 0

2 years ago

Two cargo ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship Bis sailing into harbor on a cours

s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

$cos(x) = \frac{adjacent}{hypotenuse}$