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3 years ago

Solve the following problems: Given: ∆AFD, m ∠F = 90° AD = 14, m ∠D = 30° Find: Area of ∆AFD

Mathematics

1 answer:

ch4aika [34]3 years ago

4 0

We have the triangle 30° - 60° - 90°.

The sides are in proportion: 2 : √3 : 1

(look at the picture).

$2a=14$ divide both sides by 2

$a=7$

$a\sqrt3=7\sqrt3$

The area of a trinagle AFD:

$A_{\Delta}=\dfrac{1}{2}(7)(7\sqrt3)=\boxed{\dfrac{49\sqrt3}{2}}$

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3 years ago

How many numbers greater than 10 and smaller than 25 with distinct digits can we make by using two of the digits 2, 0, 1, and 8

saul85 [17]

Answer:

Only four numbers can be formed

Step-by-step explanation:

We are to make numbers greater than 10 and less than 25

Distinct digits should be there

As such all numbers lying between 10 and 25 are

11,12,.....24

Of these the conditions are only 2, 0, 1 , 8 should be used.

First digit cannot be 0 or 8 because we want two digit numbers between 10 and 25

So first digit can be either 1 or 2

If first digit is 1, second digit can be either 2 or 8 i.e. only 12, 18

If first digit is 2, second digit can be 0 or 1 cannot be 8 i.e. only 20 , 21

Only 4 numbers can be formed

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3 years ago

FIND THE MEDIAN OF THE DATA SET3,35,23,37,45,49,27,48 A.35 B.34 C.30.2 D.38

mojhsa [17]

Answer:

A. 35

Step-by-step explanation:

The median of a data set is the middle value when the data values are placed in order of size.

Given data set:

{3, 35, 23, 37, 45, 5, 49, 27, 48}

Place the data in order of size:

{3, 5, 23, 27, 35, 37, 45, 48, 49}

To find the median, divide the total number of data values (n) by 2.

If n/2 is a whole number, the median is halfway between the values in this position and the position above.
If n/2 is not a whole number, round it up to find the position of the median.

As there are 9 data values, the median value is:

$\implies \dfrac{9}{2}=4.5 \implies \sf 5th\;value$

Therefore, the median of the given data set is 35.

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1 year ago

Read 2 more answers

Blake has a collectors' card that he bought for $42.00. The card is now worth $87.00. What is the percent of change in the value

Stels [109]

Change in value = 87 - 42 = 45
percentage change = 45/42 x 100 = 107%

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3 years ago

5/8 of the 64 musicians in a music contest there guitarist some of the guitarist play jazz solos and the rest play classical sol

Nimfa-mama [501]

So there are 64 * 5/8 guitarists.
That means that there are 40 guitarists.
Out of the 40, 3 out of 4 have classical solos.
So 40 * 3/4 is 30 classical solos.

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3 years ago