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Mkey [24]
3 years ago
10

Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

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Answer:

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1000 at £1.10

1000 x 1.10 = £1100

35% of 1000 is given away

1000 - 35% = 1000 - 350 = 650 left

35% of £1100 = £385, subtract to get £715 pounds worth of pins left

650 are left, with 385 pounds lost

60% of 650 = 390 pins sold at £3 each

40% of 650 = 260 sold at £5 for 2

3 x 390 = £1170 made from the first lot

260/2 = 130 x 5 = £650 made from the second lot

£1170 + £650 = £1820 from sales

Sales - cost to make - losses (giveaways) = profit value

1820 - 1100 - 385 = 335 pounds of profit

To find the gross profit margin, we take the profit, and find what percentage of the production cost it is.

335 is about 30.45% of 1100

30.45%, which is 30.4% to 1 decimal place.

The user is not responsible for any errors and all care should be taken to validate answer by self before submission.

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3 years ago
I need help w/ these two questions you will get BRAINLIST
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Answer:

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3 years ago
How to find the maximum or minimum value of a quadratic function?
kipiarov [429]

Answer:

Vertex form

Step-by-step explanation:

You convert to  vertex form  a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).

For example find minimum value of  x^2 + 5x - 6:-

x^2 + 5x - 6

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= (x + 2.5)^2 - 12.25

The coordinates of minimumm will be (-2.5, -12.25)  The values of the minimum of the function is -12.25

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Normal Samantha is using ribbon to make bows to be sold at a school fundraiser. She has 83.2 meters of ribbon. She needs 1.28 me
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4 0
3 years ago
(9h+3)(−h−1) porfavor ayudenme con esta pregunta.
BartSMP [9]

Answer:

-9h² - 12h - 3

Step-by-step explanation:

Follow the FOIL method:

FOIL = First, Outside, Inside, Last

Multiply the terms together:

First: 9h * -h = -9h²

Outside: 9h * -1 = -9h

Inside: 3 * -h = -3h

Last: 3 * -1 = -3

Combine like terms: 9h² + (-9h - 3h) - 3

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-9h² - 12h - 3 is your answer.

~

5 0
3 years ago
Read 2 more answers
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