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s344n2d4d5 [400]

2 years ago

6

Let A = (0, 12) and B = (25, 12). If possible, find coordinates for a point P on the x-axis that makes angle APB a right angle.

1 answer:

givi [52]2 years ago

5 0

<span>Since any right triangle formed between points A, B, and a point on thee x-axis would have it's longest side, or hypotenuse, as AB, with a length of 25, there is more than one point P along the x-axis that could form a right angle APB. One of those points is (9,0). This would give side AP a length of 15, and side PB a length of 20, forming a right triangle, verified using the pythagorean theorum, 25^2 = 15^2 + 20^2 or 625 = 225 + 400.</span>

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The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

liraira [26]

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm

8 0

2 years ago

The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila. In Seoul, the company sold 40 candy bars the firs

mart [117]

Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.

4 0

2 years ago

Read 2 more answers

A population consists of the following five values: 1, 3, 4, 4, and 6. List all samples of size 2 from left to right without rep

aniked [119]

Answer:

The sample of sizes 2 and their mean are given below.

Step-by-step explanation:

The population consist of 5 values, S = {1, 3, 4, 4, 6}.

The number of samples of size 2 (without replacement) that can be formed from these 5 values is:

${5\choose 2}=\frac{5!}{2!(5-2)!} =10$

Th formula to compute the mean is:

$\bar x=\frac{1}{n}\sum x_{i}$

List the 10 samples and their mean as follows:

<u>Sample</u> <u>Mean</u>

(1, 3) $\bar x=\frac{1}{2}[1+3]=\frac{4}{2}=2.0$

(1, 4) $\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5$

(1, 4) $\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5$

(1, 6) $\bar x=\frac{1}{2}[1+6]=\frac{7}{2}=3.5$

(3, 4) $\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5$

(3, 4) $\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5$

(3, 6) $\bar x=\frac{1}{2}[3+6]=\frac{9}{2}=4.5$

(4, 4) $\bar x=\frac{1}{2}[4+4]=\frac{8}{2}=4.0$

(4, 6) $\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0$

(4, 6) $\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0$

8 0

2 years ago

Draw hundred boxes ten sticks and circles to show a number between 100 and 200

zaharov [31]

I chose the number 155

6 0

2 years ago

Read 2 more answers

A salesperson receives step commission on sales calculated as follows:

kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0

2 years ago