Using the net below, find the surface area
of the triangular prism.
3cm
6 cm
9 cm
5 cm
9 cm
4 cm
Surface area= [?] cm²

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

[tex]\sf f(x)=\dfrac{x}{2}[/tex]

For a function

x is the input or domain

y is the output or range

Here

So

x=10

y=10/2

Hence the function is

Answer:

V ≈ 662.68

Step-by-step explanation:

15 div by 2 = 7.5 (Radius)

7.5 x 1.5 = 11.25 (height)

Pi x 7.5^2 x 11.25/3
= 662.68

Answer:

I got 2x^3+3x^2-4x-12

Step-by-step explanation:

I hope this helps a little bit

Answer:

-2

Step-by-step explanation:

If x=0

-3(0)+2y=-4

-0+2y=-4

We can say

2y-0=-4

2y=-4

Dividing both side by 2,

y=-2

Answer:

what are you talkin bout fam? you speakin gibberish rn

Step-by-step explanation:

Answer: $409.55

Step-by-step explanation:

100% - 16% = 84%

84% of 487.56 = 409.5504.

Round to nearest hundredth.

$409.55

Answer: F

Step-by-step explanation:

We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.

Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]

The answer that best matches this is F

Answer: 330 pupils

Step-by-step explanation:

the number of pupils are in the lower school

= (1- 1/5 - ¼) × 600

= (20/20 - 4/20 - 5/20)×600

= (11/20) ×600

= 330 pupils

Answer:

False

Step-by-step explanation:

because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.

The statement "all trigonometric equations are identities" is false.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.

On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.

Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.

More about the trigonometry link is given below.

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Answer:

In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.

The answer is no solution.

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]

Answer:

what comprise horn of africa

Answer:

p = 14 inches

Step-by-step explanation:

using either the sine or cosine ratios

using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{p}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

p = 14

Answer:

12,500,000

Step-by-step explanation:

2^5 = 2×2×2×2×2 = 32

5^8 = 5×5×5×5×5×5×5×5 = 390625

32×390625 = 12,500,000

Hope you understood and brainliest please

Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

Learn more about trigonometric functions: brainly.com/question/24349828

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Answer:

ty for points bye bye ok bye

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

hope this helps!

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

Answer:

si quroma mande' cromo jajaja

Step-by-step explanation:

Answer:

Total surface Area =1135.34 to 2.d.p

Step-by-step explanation:

What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.

Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.

Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.

Read more about Withholding taxes at; https://brainly.com/question/25783927

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ANSWER :-

There are total 8 types of pets represented by the dot plot . They are :

ANSWER :-

Dog is the most popular pet

Step-by-step explanation :

Liza's classmates have owned two rabbits , six dogs , three cats , two horses , five birds , one mouse , three fishes and one other pet.

Therefore,

Now, we can easily count or see the pet which is in larger quantity as compared to others.

The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is

The SOH CAH TOA simply means:

Sin A = Opposite/Hypothenuse

Cos A = Adjacent / Hypothenus

Tan A = Opposite /Adjacent

Note that we have the base as 20 meters and Adjacent angles "A" as 37°.

Given that

Tan A =  Opposite /Adjacent; we have

Tan 37° = Opposite (Height)/ 20 meters (Adjacent)

0.7536 = Height/ 20

Make Height the subject of the formula by multiplying both sides by 20.

Hence,

Height = 0.7536 * 20

= 15.072

≈ 15m

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The steps are shown on the screenshots as well.

The trig ratios used were sine and tangent

Make sure your calculator is in degree mode.

Answer:

5

Step-by-step explanation:

the gradient is 5

change in Y over change in X

Answer: the slope is 1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = 7-3 / -2+6

m = 4/4

m=1

Answer:

The twins are 21 years old right now.

(x+4) + (x+4) = 50

Step-by-step explanation:

Let x = the current age of one of the twins.

They are twins, that means they are the same age. So the other twin is also x years old.

In four years, the age will be x+4.

Both of them together will be:

(x+4) + (x+4)

The question says that total (of their ages in 4 years) will be 50.

(x+4) + (x+4) = 50

Combine like terms.

2x + 8 = 50

Subtract 8.

2x = 42

Divide by 2.

x = 21

The twins are currently 21.

To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!