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3 years ago

Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

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Find the surface area of the figure shown,<br> correct to 2 decimal places.

agasfer [191]

Answer:

$230.73m^2$

Step-by-step explanation:

$A=2a^2+4ah=2*4^2+4*4*4=96m^2$ (square prism)

$A=2\pi rh+2\pi r^2=2*\pi *4*9+2*\pi *4^2 = 326.73m^$ (cylinder)

$326.73-96=230.73m^2$ ( $\frac{3}{4}$ cylinder)

7 0

2 years ago

2.) You need a carpet installed in your living room. You reach out to 2 different companies

Oliga [24]

Answer:

Home Depot

Step-by-step explanation:

Home Depot Has better charges because you have to multiply the question to see which one is lower.

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3 years ago

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood

Talja [164]

Answer:

A. 0.50

B. 0.85

C. 0.05

Step-by-step explanation:

A. Based on the initial statistics, 50% of the blood type is blood type O, hence the probability of choosing bold type O at random is 50/100, which is 0.50 to two decimal places.

B. The total number of donors that can donate to Blood type A is 85%, thus, the probability is 85/100, which is 0.85 to two decimal places.

C. The percentage of people that have the type AB blood is 5%, thus the probability of someone having the A antigen and blood type AB is 5/100, which is 0.05 to two decimal places.

6 0

3 years ago

The ratio of men to women working for a company is 8 to 5. If there are 234 employees total, how many women work for the company

Dimas [21]

Answer:

144

Step-by-step explanation:

The ratio of men to women working for a company is 8 to 5.

Total men and women working as per the ratio is 8+5 = 13

So the ratio of men to total is

the ratio of women to total is

there are 234 employees total

To find the number of men works , we make a proportion

Cross multiply it

8 * 234 = 13x

1872 = 13x

Divide by 13 on both sides

x= 144

3 0

2 years ago

Read 2 more answers