Find the value of x.

A chimp is taking a multiple - choice test of course the chip can't read and his guessing for every question. If there are 4 cho

tia_tia [17]

Answer:

21

Step-by-step explanation:

He will guess correctly 25% of the time.

He has 84 questions

25% of 84

.25 * 84

21

We should expect that he will get 21 questions correct

6 0

3 years ago

Allan bought 10 book and he wanted to multiply how many pages there are and how long it will take him to read them . he wanted t

dedylja [7]

Answer 10x
so the question doesn’t state the number of pages in these 10 books so i guess the answer would be 10x not a lot of info is given

7 0

3 years ago

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IB QUESTIONS:

enyata [817]

Step-by-step explanation:

Using SOHCAHTOA

$\tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9$

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

${32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0}$

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

$\cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8$

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

${(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3$

now to find the area

$area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2}$

4 0

3 years ago

Suppose that you 2 two dice and observe the numbers showing on the uppermost surfaces of the dice. What is the probability that

Basile [38]

Answer:

The required probability (P) = 1/6

Step-by-step explanation:

From the given information:

Suppose two dice are observed; Then the number of outcomes in first dice = 6 i.e (1,2,3,4,5,6) and also the number of outcomes in second dice = 6 as well i.e (1,2,3,4,5,6)

The total number of outcomes of two dices = 6×6 = 36

Now for a sum that is less than 5; their outcomes are [(1,1) ,(1,2) , (1,3) ], [(2,1), (2,2) ], (3,1) = 6 outomes

The total number of outcomes for the sum that is less than 5 = 6

∴

The required probability (P) = Total number of outcomes for the sum that is less than 5 / Total number of outcomes of two dices

The required probability (P) = 6/36

The required probability (P) = 1/6

6 0

3 years ago

Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution

svlad2 [7]

Answer: Reflective

Step-by-step explanation:

4 0

4 years ago

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