I need help I don’t get it

If sinθ⋅cosθ = 1/2, then the value of sinθ + cosθ = √2

We know that the trigonometric sine function is nothinng but the ratio of the length of the opposite side of angle to that of the hypotenuse in a right triangle.

And cosine function (cos function) is the ratio of the length of the adjacent side of angle to that of the hypotenuse.

Given that  sinθ⋅cosθ = 1/2

2(sinθ⋅cosθ) = 1             .........(1)

We know that trigonometric identity,

sin(2θ) = 2 sinθ cosθ

so equation (1) becomes,

sin(2θ) = 1            

We know that sin(π/2) = 1

Comparing with equation sin(2θ) = 1 we get,

2θ = π/2

θ = π/4          

Using trigonometric table,

sin(π/4) = 1/√2

and cos(π/4) = 1/√2

The value of  sinθ+cosθ would be,

sin(π/4) + cos(π/4)

= (1/√2) + (1/√2)

= 2/√2

= √2

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The complete question is:

If sinθ⋅cosθ=1/2 find the value of sinθ+cosθ

According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.

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Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {5}^{2} \times 15 \\ = 392.5 \: {m}^{3} [/tex]

Answer:

55

Step-by-step explanation: i think

Answer:

Step-by-step explanation:

it would be 55 because he does 11 each minute.

Answer:

15 and 11

Step-by-step explanation:

First find an equation that represents this scenario.

26 = n + (n-4) works, because the sum (26) is equal to the number (n) plus the number minus 4, which is the other number.

To find both numbers, solve for n:

26 = n + (n - 4)

First, combine like terms.

26 = 2n - 4

Then, add 4 to both sides

30 = 2n

Then divide both sides by 2.

15 = n.

So the number is 15, and the other number is 15-4, which is 11.

Answer: 39.79

Step-by-step explanation:

126/360 (2pi14)

Answer:

kt 5.20 yes

Step-by-step explanation:

5.20

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1, 1):  You can see that a vertical line through x = -1 is the center line (axis of symmetry) of this parabolic graph.  The vertex lies 1 unit above the x-axis:  y = 1.

Answer:

50

Step-by-step explanation:

2*10=20 red

3*10=30 white

20+30=50      

Answer:

50

Step-by-step explanation:

the ratio is 2:3

so every if she inflates 20 red she inflates 30 white

30 + 20 is 50

(Hint)

by using quadratic formula we can find the value of x

3x^2+7x-30

a=3

b=7

c=-30

[tex]4(x+7) \leqslant 4(2x+8)\implies 4x+28\leqslant 8x+32\implies 28\leqslant 4x+32 \\\\\\ -4\leqslant 4x\implies \cfrac{-4}{4}\leqslant x\implies \boxed{-1\leqslant x}[/tex]

notice, in the division by "4" we didn't flip the inequality sign, because the division was by a positive value, we only flip it when the division involves a negative value.

Answer:

55.2049%

Step-by-step explanation:

R², the coefficient of determination, is the proportion of the variation in the dependent variable that is predictable from the independent variable.

In this case, if we square our correlation coefficent r=0.743, we get R²=0.552049, which means that 55.2049% of the variation in the number of yearly boaters can be explained by differences in lake sizes

A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.

Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:

If we know the shorter leg length, we can find out that:

In the 30 60 90 triangles :

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Answer:

268°

Step-by-step explanation:

[tex] In\: \odot O, [/tex] AB is diameter.

So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.

[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]

[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]

[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]

[tex] \therefore \: m\widehat {BC} =88\degree [/tex]

[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]

[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]

[tex] \therefore m\widehat {ABC} = 268\degree [/tex]

Answer:

- 8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

3x(x+x)−6x^2+2^2−12

=6x^2+−6x^2+4+−12

Combine Like Terms:

=6x^2+−6x^2+4+−12

=(6x^2+−6^2)+(4+−12)

=−8

Answer:

C

Step-by-step explanation:

hope it helps

Answer:

The answer is C

Step-by-step explanation:

I keep seeing people put c so i am pretty sure that right

The ratio of surface area to volume is 6:s

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³

The ratio = 6s² / s³

= 6 / s

Hence, the required ratio is 6:s

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The area of the floor in the scale drawing is 60 inches².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

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Answer: 8 miles

Step-by-step explanation:

1.25m+6=2m

--1.25m. -1.25m

6=.75

6/.75m=8 mile

s

Answer:

10^-3

10^-7

10^-8

10^-9

10^-6

Step-by-step explanation:

mark me brainliest pls

Answer:

we have:

∆BDE is similar to ∆BAC

so their side are proportional :

BD/BD=BE/BC

2/BD=4/(6+4)

BD=2×10/4

BD=5

again

BE/BC=DE/AC

4/10=5/AC

AC=5×10/4

AC=25/2

Now,

AC=25/2 or 12.5.

AD=BA-BD=5-2=3.

is your answer.

Answer:

AC = 12.5, AD = 3

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

[tex]\frac{BD}{BE}[/tex] = [tex]\frac{AD}{CE}[/tex] , substitute values

[tex]\frac{2}{4}[/tex] = [tex]\frac{AD}{6}[/tex] ( cross- multiply )

4 AD = 12 ( divide both sides by 4 )

AD = 3

-----------------------------------------

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{DE}{AC}[/tex] = [tex]\frac{BD}{BA}[/tex] , substitute values

[tex]\frac{5}{AC}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )

2 AC = 25 ( divide oth sides by 2 )

AC = 12.5

To calculate the amount of food to order for the graduation party with drop-in guests, you should multiply the number of "full" guests, which is 40 + x/2, by the recommended amounts listed in the table.

To calculate the amount of food to order for the graduation party, you need to take into account the number of guests and the recommended amounts listed on the table. Since the party is for 40 guests and there will also be "drop-in" guests, you need to convert these guests into an equivalent number of "full" guests. To do this, you can divide the number of drop-in guests by 2.

So if there are x drop-in guests, the number of "full" guests will be 40 + x/2.

Now you can use this number of "full" guests to calculate how much of each food item to order. For example, if the table recommends 1/4 lb of meat per guest, you would order (40 + x/2) × 1/4 lb = 10 + x/8 lb of meat.

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Answer:

The answer would be D!

Step-by-step explanation:

Tell me if i'm wrong

Answer:

46080

Step-by-step explanation:

multiply all of them

Answer: might be 150 sq ft if the problem is of the irregular figure

Answer:

to solve this problem you have to take 9 over 20 (by assuming replacing the marbles)

9/20 is the experimental probability for a green marble to be picked

9/20 = 45%

Answer: $3.06

Step-by-step explanation: In order to get $3.06, you will have to find half $2.04 and then add that number to the price of 12 eggs.

The volume of Hannah's suitcase in cubic inches is: C: 7938.

The volume can be determine using this formula

Volume = Length × Width × Depth

Where:

Length = 27 inches

Width = 21 inches

Depth = 14 inches

Let plug in the formula

Volume = 27 inches × 21 inches × 14 inches

Volume = 7,938

Therefore we can conclude that the volume is 7,938.

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