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3 years ago

Three and three fourths minus one and two fourths equals

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

d. two and one fourth

Step-by-step explanation:

3 3/4 - 1 2/4 = 2 1/4

2 1/4

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

Place the indicated product in the proper location on the grid. (a+b-c)(a+b+c)

aliina [53]

Answer:

The required location on the gird is shown below.

Step-by-step explanation:

Consider the provided expression.

We need to place the indicated product in the proper location on the grid.

First open the parenthesis as shown:

$(a+b-c)(a+b+c)=a(a+b+c)+b(a+b+c)-c(a+b+c)$

$(a+b-c)(a+b+c)=a^2+ab+ac+ab+b^2+bc-ac-bc-c^2$

Now add the like terms as shown:

$(a+b-c)(a+b+c)=a^2+b^2-c^2+2ab$

Hence, the required location on the gird is $(a+b-c)(a+b+c)=a^2+b^2-c^2+2ab$

3 0

3 years ago

Could somone help me on this MAD question

olga_2 [115]

The mean absolute deviation of the set of numbers is 5/4

<h3>How to determine the mean absolute deviation?</h3>

The set of numbers is given as:

1 1/2, 0, 4 and 2 1/2

Rewrite the set of numbers as:

1.5, 0, 4 and 2.5

Calculate the mean of the set using:

$\bar x$ = Sum/Count

So, we have:

$\bar x$ = (1.5 + 0 + 4 + 2.5)/4

Evaluate

$\bar x$ = 2

The mean absolute deviation is then calculated as:

M.A.D = 1/n * ∑|x - $\bar x$ |

So, we have:

M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]

Evaluate the absolute difference

M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]

Evaluate the sum

M.A.D = 1/4 * 5

Evaluate the product

M.A.D = 5/4

Hence, the mean absolute deviation of the set of numbers is 5/4

Read more about mean absolute deviation at

brainly.com/question/9495630

#SPJ1

3 0

2 years ago

The United States Air Force has 19 woman for every 81 men enlisted. If a squadron has 700 members, approximately how many are me

vodomira [7]

Answer:567

Step-by-step explanation:

Proportion is 81/100=x/700

100 times 7 is 700 and 81 times 7 is 567

6 0

3 years ago

A camera has a listed price of SB78.99 before tax. If the sales tax rate is 6.25%, find the total cost of the camera with sales

lawyer [7]

The answer is 79.05 because 78.99* 6.25%
6.25%=0.0625

3 0

3 years ago