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sineoko [7]
3 years ago
11

The angle that is formed from the foot of a polar bear foot to the top of the an igloo is 17°. If the polar bar is standing 131

feet from the base of the igloo, how tall is the igloo?
Advanced Placement (AP)
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

Let AB be the igloo

     C be the polar bear

According to the given information:

· ∠ABC = 90° (The igloo and the ground)

· ∠ACB = 17° (The foot of the polar bear to the top of the igloo)

· BC would be the distance between the polar bear and the igloo, BC = 131 ft

The height of the igloo is:

tan 17° = AB / BC

AB = tan 17° × BC

AB = tan 17° × 131

AB = 40.05 ft

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The coordinates of the point of intersection of the lines y = 4x - 2 and y = 7 - 2x are
Sergio [31]

Answer:

At a point X = 1.5 and Y = 4, the two lines will intersect

Explanation:

Given,

Two lines will intersect at the point with co-ordinates (X, Y) that will satisfy both the equations.

Hence,

y = 4x - 2 - Eq 1

y = 7 - 2x - Eq 2

Solving Eq 1 & 2, we get -

Eq 1 -Eq 2 will give

0 = 6X -9

6X = 9

X = 1.5

Y = 7 - 2*1.5 = 7-3 = 4

At a point X = 1.5 and Y = 4, the two lines will intersect

3 0
3 years ago
Help me arrange this in order.<br> I can give brainliest!!
zubka84 [21]

I don't know exactly how to label these. I'll start from the left and go to the right. The formula for all of these questions is Sum = a(1 - r^n)/(1 - r)

Left

The complete series is 1 3 9 27 81 and just adding these as you see them, you  get 1 + 3 + 9 + 27 + 81 = 121

Sample calculation

i = 1

3^(1 -1) = 1

i = 4

1 * 3^(4 - 1)=3^3 = 27 Just what the series says you should get.

Sum using formula

Sum = 1(1 - 3^5)/(1 - 3) = 1 * (1 - 243)/(1 - 3) = - 242/-2 = 121

Second from the left

Series: 3 6 12 24 48

Sum by hand = 93

Sample Calculation

i = 1

3*2^(1 - 1) = 1

i1 = 3

3 * 2^(3 - 1) = 3 * 2^2 = 3 * 4 = 12 which is what you should get.

Sum using formula

Sum = 3 (1 - 2^(5 - 1) / (1 - 2)

Sum = 3 (1 - 32) / - 1

Sum = 3(-31) / (- 1) = 93

Second from the right.

Series: 2 6 18 54

Sample Calculation

i = 1

t1 = 2* 3^(1 - 1) = 2*3^0 = 2*1 = 2

i = 4

t4 = 2 * 3^(4- 1)

t4 = 2 * 3^3

t4 = 2 * 27

t4 = 54 just as it should

Sum with formula

Sum = 2( 1 - 3^4) / ( 1 - 3)

Sum = 2(1 - 81)/ -2

Sum = 2( - 80) / - 2

Sum = 80

Entry on the right

Series: 1 2 4 8 16 32 64

Sum by hand: 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127

Sample Calculation:

i = 1

2^(1 - 1) = 2^0

2 to the zero = 1

i = 6

t6 = 1(  2^6)

t6 = 1 * 2^6 = 64

Sum using the formula: 1*(1 - 2^7)/(1 - 2) = (1 - 128)/(-1 = 127

Order: Answer

Right comes first

Left

Second from the left

Second from the right.  

3 0
3 years ago
A criminal justice professional must be able to justify an ethical decision based on
grin007 [14]
C. hope this helps:)
5 0
3 years ago
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The table above shows aggregate statistical data for Country X in 2018. Assume the GDP deflator is 160.
Nadusha1986 [10]

Answer:

a) The nominal GDP in 2018 is $1600,000,000

b) Expenditures and income within the economy should balance

c) GDP deflator pertains to all produce goods and services while CPI deflator covers only  goods and services bought by consumers

d) The real GDP is $1,000,000,000

e) Increased by $65 million

Explanation:

a) The equation for finding the GDP is presented in the following equation;

GDP = Consumption + Investment + Government Spending + Net exports

That is;

GDP = C + I + G + (X - IM)

Therefore, the GDP = 1,000 + 400 + 300 - 100 = 1,600

Hence the nominal GDP in 2018 = $1,600,000,000

b) Here we have the income approach to GDP is premised on the fact that the economy expenditures should balance the income generated by the economic production of goods  and services within the economy.

c) The difference between CPI and GDP deflator is that GDP deflator takes into account the prices of services and goods produced while on the other hand, the CPI deflator accounting is based only on the prices of goods and services which customers bought.

d) Here we have;

GDP \ delfator = \frac{Nominal \, GDP }{real \, GDP} \times 100

Therefore, where, the GDP Deflator = 160 we have;

160 = \frac{1600}{real \, GDP} \times 100

Hence;

real \, GDP = \frac{1600}{160} \times 100 = 1000

The real GDP = $1,000,000,000

e) The GDP in the scenario will be calculated by the final goods approach such that the countries GDP will be calculated based on the final sales by the bakeries, that is an increase of $65 million.

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3 years ago
17. What group of organisms generally have soft bodies protected by hard shells, and include octopuses, clams, oysters, squids,
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Answer:

The answer is Mollusks.

Explanation:

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3 years ago
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