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4 years ago

I need help finding the formula..

Mathematics

1 answer:

KiRa [710]4 years ago

8 0

X=first week
y=second week
z=third week
t=fourth week

18 more one 2nd week than 1st
x+18=y
x=y-18

3rd week, 4 less than 2 times as second
z=2y-4

4th week, 92

ttal=382

x+y+z+t=382
sub waht we know
x=y-18
y=y
z=2y-4
t=92

y-18+y+2y-4+92=382
conbine line terms
4y+70=382
minus 70 boht sides
4y=312
divide both sides by 4
y=78

78 customers
for equation read my answer slowly

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Find the value of p and q

Ira Lisetskai [31]

Answer:

The answer to your question is p = 27.7 q = 29

Step-by-step explanation:

Process

1.- Calculate the value of all the angles of the triangle

The angle of 50° and the one to the right are supplementary

x + 50 = 180

x = 130°

- The sum of the internal angles in a triangle equals 180°

30° + y + 130° = 180

y = 180 - 130 - 30

y = 180 - 160

y = 20°

- The angle of the right triangle

50 + 90 + z = 180

z = 180 - 90 - 50

z = 40°

If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90

2.- Calculate q using the trigonometric function tangent

tan Ф = q / 55

solve for q

q = 55 tan 30

q = 28.9 ≈ 29

3.- Calculate the hypotenuse of the biggest triangle

h² = 55² + 29²

h² = 3866

h = 62,12

4.- Use law of sines to find p

$\frac{p}{sin 20} = \frac{62.12}{sin 130}$

solve for p

p = $\frac{62.12 sin 20}{sin 130}$

p = 27.74

5 0

4 years ago

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Find the surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches.

Alinara [238K]

Hello!

The formula to find the surface area of a pyramid is as follows:
$\frac{1}{2}$ pl + B

In this formula p represents the perimeter of the pyramid's base, l is the slant height, and B is the area of the base.

So, we know that the length of the base sides is 2.5 inches and the slant height (or l) is 3 inches.

The first thing we can do is solve for p or the perimeter of the base. To find the perimeter, you can either add up each of the sides or since it's a square just multiply the side length by 4; both of these options will give you the same answer.
2.5+2.5+2.5+2.5 = 10 2.5*4 = 10
So, we now know that p = 10 inches.

Next, we can solve for B or the area of the base. To do this, we take the length of the base * the width of the base, or in this case just 2.5*2.5; this gives us 6.25 inches
We now have the value of B which is 6.25 inches.

Now that we have all the elements, we can plug the values into the formula!

So, the formula originally is $\frac{1}{2}$ pl + B and with the values we just found plugged in it becomes $\frac{1}{2}$ (10)(3) + (6.25).

And now all we have to do is solve!
$\frac{1}{2}$ (10)(3) + (6.25)
$\frac{1}{2}$ (30) + (6.25).
15 + (6.25).
21.25

And there you have it! The surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches is 21.25 inches.

Hope you find this helpful!

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3 years ago

Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)

andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

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3 years ago

an employee at an arcade determined he could use the equation y=50-2x to predict the number of tokens a guest has,y, based on th

givi [52]

Answer:

The rate at which how many tokens a person loses per minute.

Step-by-step explanation:

If we move around the terms in the equation to fit standard form, it will be easier to determine the slope.

y = 50 - 2x

y = -2x + 50

We know that the slope is the coefficient of the x variable, so m = -2 or $\frac{-2}{1}$ .

Since the slope is negative, we know that the line will go down as x increases. Since the slope is multiplied by the number of minutes x, we know that the slope represents the typical rate at which a guest spends tokens per minute. In simpler words, how many tokens a person loses every minute.

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3 years ago

The ratio of right-handed students to left-handed students is 9 to 2. There are 468 right-handed

Monica [59]

Answer:

104

Step-by-step explanation:

divide 468 by 9 and get 52. multiply 52 by 2 and get 104.

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3 years ago

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