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3 years ago

The points shown on the graph represent the numbers in a geometric sequence.

Mathematics

2 answers:

sergejj [24]3 years ago

8 0

D is the answer just took test

kramer3 years ago

4 0

Answer:

Step-by-step explanation:

2 is the initial value of the sequence because the it is (1,2)

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Find the value of the angle θ rounded to 1 DP.

kogti [31]

Answer:

Step-by-step explanation:

Sin 21 = $\frac{opposite side}{hypotenuse}$

Sin 21 = $\frac{BC}{15}$

0.3583 = $\frac{BC}{15}$

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = $\frac{opposite side}{adjacent side}$

Tan ∅ = $\frac{4}{5.37}= 0.7448$

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

5 0

3 years ago

Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on

ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

$P(X=0)=\frac{1}{2}$

Event X = 1 means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

$P(X=1)=\frac{1}{6}$

Event X = 2 means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

$P(X=2)=\frac{1}{12}$

Event X = 3 means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

$P(X=3)=\frac{1}{20}$

Event X = 4 means basically the first player has won all the battles i.e, he has got the greatest number. Hence

$P(X=4)=\frac{1}{5}$

7 0

3 years ago

Last week, the price, in dollars, of a gallon of gasoline was g. This week the price of gasoline per gallon increased by 5%. Whi

dmitriy555 [2]

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a× $\frac{100+b}{100}$

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

4 0

3 years ago

Help me on this question

MAVERICK [17]

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

8 0

3 years ago

Read 2 more answers

I have to find the area of the shape

Alekssandra [29.7K]

The answer is 18m^2. if u find the area of each section and add it up together at the end then u get 18

5 0

3 years ago