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marissa [1.9K]
3 years ago
13

Trigonometry question

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Step-by-step explanation:

I will call the angle A.

we need to use cos, sine, and tangent here

cosine= adjacent over hypotenuse

sine = opposite over hypotenuse

tangent = opposite over adjacent

the angle A has x as the hypotenuse

and y is adjacent to the angle

cosine will be used

cos(A)= adjacent/hypotenuse

cos(A)= 5/x

get x alone by using opposite signs

x and 5 are dividing. the opposite of division is multiplication , but in order to cancel 5 from the right side i need to multiply the reciprocal. 5 is on top, needs to be on bottom to cancel out

cos(A)*(1/5)= 5*(1/5x)

cos(A)/5=(1/x)

flip both sides to get x on top

(5/cos(A))=x

use calculator

and make sue it is in degrees

x=5.8 cm

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aleksandr82 [10.1K]

Answer is<em> </em><em><u>3t²-6t</u></em>

<h3>Step-by-step Explanation:-</h3>

s(t) =  {t}^{3} - 3 {t}^{2} + 8

Now we need to find velocity. The velocity is the first derivative of position, so let's find the derivative of s(t) :-

s'(t) = v(t) = 3 {t}^{3 - 1} - 3 \times 2 {t}^{2 - 1}

So,

v(t) = 3 {t}^{2} - 6t

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7 0
2 years ago
Help asap for brainliest
sineoko [7]

Answer:

282 ft

Step-by-step explanation:

Area of 2 triangles = 6+6

= 12 ft

Area of 3 rectangles = 90+90+90

= 270 ft

therefore

the surface area = 12 + 270

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I think that I am right

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3 years ago
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avanturin [10]
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7 0
4 years ago
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(
fiasKO [112]

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

5 0
3 years ago
a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
3 years ago
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