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Firdavs [7]
1 year ago
9

In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.

Mathematics
1 answer:
tresset_1 [31]1 year ago
5 0

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

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A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured
Masteriza [31]

Question:

A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars. A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars.

Picture of data can be found in the picture attached.

Answer:

Slope = -1.71

Intercept = 22.05

Step-by-step explanation:

Equation of a line usually takes the general form :

ŷ = mx + c

Where :

m = slope or gradient

c = intercept

Inputting the data into a linear regression calculator ;

The output is : ŷ = -1.70872X + 22.04985

Comparing the output to the general formula;

The slope (m):

m = -1.70872 = -1.71(2 decimal places).

The intercept (c):

c = 22.04985 = 22.05(2 decimal places).

7 0
2 years ago
A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-squa
aleksandrvk [35]

Answer:

Equal df

Step-by-step explanation:

Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,

Hence degree of freedom = 3-1 =2

Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.

Here degree of freedom = (r-1)(c-1) where r = no of rows and c =no of columns

= (2-1)(3-1) = 2

Thus we find both have equal degrees of freedom.

3 0
2 years ago
A lion runs 45 mph and crosses a bridge in 40 seconds. A cheetah runs across the same bridge in 30 seconds. How fast does the ch
Aleks04 [339]

Answer:

60 mph because the cheetah runs at 4/3 of the lion's pace, which is 45 mph. 4/3 x 45 is 60.

7 0
2 years ago
The weights of all the students in grade 9 are arranged from least to greatest. which statistical measure separates the top half
Kamila [148]
The answer is number 4, average.
8 0
2 years ago
A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
krek1111 [17]

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)

\text{Area of walls and ceiling}=1200+90+120

\text{Area of walls and ceiling}=1410

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

\text{ The total painting cost}=10*(\frac{1410}{25})

\text{ The total painting cost}=10*56.4=564

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

\text{Area of floor} = 40*3\text{ square meters}

\text{Area of floor} =120\text{ square meters}

Given: 1m squared floor tiles costs $3. So,

\text{Total cost for tiles} = 3*120 = 360

Therefore, the total cost for tiles is $360.  

Now let us find combined total cost of tiles and paint.

\text{Combined total cost}= 564+360 = 924

Therefore, the combined total cost of tiles and paint is $924.

5 0
2 years ago
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