All categories

2 years ago

Please help I’m super confused!

Mathematics

1 answer:

wolverine [178]2 years ago

7 0

Answer:

The angles are 160 and 20 degrees respectively

Step-by-step explanation:

angles on a line sum to 180 degrees.

This tells us that (5x + 60) + (3x -40) = 180

we can expand brackets to give 8x + 20 = 180

8x = 160

x = 20 degrees

You might be interested in

Why was the far eastern diplomat at the north pole

n200080 [17]

The reason why the far eastern diplomat was at the north pole was : he got disoriented To travel in the past, people in the past rely on stars and compass. But due to electromagnetic phenomenon, the compass tend to not functioning properly and make it really difficult to actually find out the correct path

6 0

3 years ago

Question 2

prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

Calculating the area of the outer rectangle:

Given

The length outer rectangle = l = 3x - 1

The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

$A = wl$

$= (5x + 2) (3x - 1)$

$=5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)$

$=5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1$

$=15x^2+x-2$

Calculating the area of the inner rectangle:

Given

The length inner rectangle = l = x + 7

The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

= x(x+7)

= x² + 7

Calculating the area of the shaded region:

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

= 15x² + x - 2 - (x² + 7)

= 15x² + x - 2 - x² - 7

= 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0

2 years ago

Stock A ‘s returns have a standard deviation of 0.5, and stock B’s returns have standard deviation of 0.6.The correlation coeffi

galben [10]

Answer:

The variance of the profile is 0.2179.

Step-by-step explanation:

We are given the following in the question:

$\sigma_A = 0.5\\\sigma_B = 0.6\\\rho_{A,B} = 0.5\\w_A = 70\% = 0.7\\w_B = 30\% = 0.3$

Variance of portfolio is given by:

$w_A^2\sigma_A^2 +w_B^2\sigma_B^2 + 2w_Aw_BCov_{A,B}$

$Cov_{A,B} = \rho_{A,B} \times \sigma_A \times \sigma_B \\=0.5\times 0.5 \times 0.6\\=0.15$

Putting values, we get,

$w_A^2\sigma_A^2 +w_B^2\sigma_B^2 + 2w_Aw_BCov_{A,B}\\=(0.7)^2(0.5)^2 + (.3)^2(0.6)^2 + 2(0.7)(0.3)(0.15)\\=0.2179$

Thus, the variance of the profile is 0.2179.

4 0

2 years ago

Colin’s piano lesson is 45 minutes, or 3/4 of an hour, long. If he practices 6 different songs and spends an equal amount of tim

frosja888 [35]

Answer: $\frac{1}{8}$ hour

Step-by-step explanation:

Given: The total time Collin spent on 6 songs = $\frac{3}{4}\text{ hour}$

Now, the fraction of an hour does he spend practicing each song is given by :-

$\frac{\text{Total time taken}}{\text{Total songs}}=\frac{\frac{3}{4}}{6}=\frac{3}{4\times6}=\frac{1}{8}\text{hour}$

The fraction of an hour does he spend practicing each song= $\frac{1}{8}$

5 0

2 years ago

Read 2 more answers

One serving of this cereal provides you with 160 mg of sodium. This is 7% of your body's daily needs. How many milligrams of sod

denis23 [38]

First, we see the closest multiple of 7 under 100 is 98 and that divided by 7 is 14. there are 2/7 as our remainder. We do 2/7 times 160 to get 320/7 and 320/7 = 45 and 5/7. We convert 5/7 into a decimal like 5/7 = .7. The answer is 45.7 milligrams of sodium.

6 0

2 years ago