use ABC to find the value of cos A

answer :

s/10 = 7

s = 7 × 10

s = 70

Answer:

Step-by-step explanation:

[tex] \frac{s}{10} = 7[/tex]

=> s = 7 × 10

=> s = 70 (Ans)

Answer:

[tex]\frac{25\sqrt{3}}{2}[/tex]

Step-by-step explanation:

The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height of the triangle. In a right triangle, the two legs will represent the base and height, both interchangeable.

In a 30-60-90 triangle, the sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle. Since the hypotenuse of this triangle is given as 10, the leg opposite to the 30 degree angle is equal to [tex]10\div 2=5[/tex] and the leg adjacent to the 30 degree angle is equal to [tex]5\sqrt{3}[/tex].

Thus, the area of this triangle is equal to:

[tex]A=\frac{1}{2}\cdot 5\cdot 5\sqrt{3}=\boxed{\frac{25\sqrt{3}}{2}}[/tex]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

[tex](x, y)\rightarrow(x-4,y+3)[/tex]

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

Answer: [tex]\frac{11}{75}[/tex]

Step-by-step explanation:

R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a [tex]\frac{22}{150}[/tex] chance of getting a red jelly bean.

Simplified that is [tex]\frac{11}{75}[/tex]

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Therefore, 14 : 12 , 21 : 18 and 28 : 24

Area of circle=796.5m²

Answer:

Solution given:

circumference of circle=100m

2πr=100m

r=100/(2π)

r=15.92m

now

area of circle=πr²=π×15.92²=796.5m²[approximately]

Answer:

A =796.1783439 m^2

Step-by-step explanation:

circumference  = 2 * pi *r

100 = 2 * pi *r

Divide by 2

50 = pi r

Divide by pi

50/pi = r

Using 3.14 for pi

50/3.14 = r

15.92356688=r

Now we can find the area

A = pi r^2

A = 3.14 ( 15.92356688)^2

A =796.1783439 m^2

Answer:

x = 2u -v

Step-by-step explanation:

X is the excess when we try to squeeze 2 u's on the side v,therefore

x = 2u -v

The value of x in terms of u and v is √(u²/2 + v²/2).

The parallelogram shown is a rhombus, so all four sides are congruent. This means that the sides labeled u and v are congruent. Since the opposite sides of a parallelogram are equal, the sides labeled u and v are also parallel.

The diagonals of a rhombus bisect each other at right angles. This means that the angles formed by the diagonals are 90°.

The diagonals of a rhombus also divide the rhombus into four congruent right triangles. This means that the triangles labeled 1, 2, 3, and 4 are all congruent.

We can use the Pythagorean theorem to find the length of x. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is x, so the square of the hypotenuse is x². The other two sides are u/2 and v/2. The square of each side is u²/4 and v²/4. Therefore, we can write the following equation:

x² = u²/4 + v²/4

Solve for x:

x² = u²/2 + v²/2

x = √(u²/2 + v²/2)

Therefore, x is equal to √(u²/2 + v²/2).

To learn more about value here:

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Answer:

No solution is posible from the information provided

Step-by-step explanation:

Answer:

1. B

2. C

3. 8, 36

Answer:

To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for pi. Answer choices: 314.2 cm3

Step-by-step explanation:

Problem 1

Answer:  It is possible to draw a triangle

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

Explanation:

We use the triangle inequality theorem. Consider a triangle with sides a,b,c

A triangle is only possible if and only if the following three inequalities are all true

Basically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.

If a = 3, b = 4, and c = 5, then

All three conditions are met, therefore we have a triangle possible.

=======================================================

Problem 2

Answer:  No, a triangle is not possible

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

Explanation:

For this problem, and the next two problems, we'll use the triangle inequality theorem also.

Notice that a+b = 4+5 = 9 but this is not larger than c = 9

So the condition a+b > c is not true, and therefore we do not have a triangle possible.

=======================================================

Problem 3

Answer:  No, a triangle is not possible

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

Explanation:

Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.

=======================================================

Problem 4

Answer:  It is possible to draw a triangle

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

Explanation:

A triangle is possible here because

=======================================================

Problem 5

Answer:   a, c, b

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

Explanation:

Here are two rules we'll use here

This applies to triangles only.

From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.

Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.

Answer:

a positive number as 0 is a neutral.

Answer:

I don't understand pls explain

Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.

Answer:

A. 56.52 inches

Step-by-step explanation:

the Circumfernce = 2 x π x r

= 2×3.14×9

= 3.14×18

= 56.52 inches

Answer:

Where are the graph(s)?

Step-by-step explanation:

Answer: Its A on eng for the graphs.

Step-by-step explanation:

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

Answer:

the only zero should be -1

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

-6

Step-by-step explanation:

-5+7=2

2-2=0

0-the remaining 6 of the 8=-6

Step-by-step explanation:

1.

[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]

[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]

Therefore,

[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]

2.

[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]

[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]

Use the identity

[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]

Solving for tan x:

[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]

Answer:

Its B since the decimals are lower than the data.

52 Step-by-step explanation:

Answer:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Step-by-step explanation:

Poorly formatted question (see attachment)

From the attachment, we have:

[tex]n = 135[/tex] --- the sample size

[tex]Samples = 20[/tex] --- The number of samples

[tex]\sum np = 87[/tex] --- Number of leaking tubes

First, we calculate the number of observations

[tex]\sum n = n * Samples[/tex]

[tex]\sum n= 135 * 20[/tex]

[tex]\sum n= 2700[/tex]

Using 3 sigma control limit, we have:

[tex]z = 3[/tex]

Calculate [tex]\bar p[/tex]

[tex]\bar p = \frac{\sum np}{\sum n}[/tex]

So, we have:

[tex]\bar p = \frac{87}{2700}[/tex]

[tex]\bar p = 0.0322[/tex]

Next, calculate the standard deviation

[tex]s_p = \sqrt{\frac{\bar p* (1-\bar p)}{n}}[/tex]

So, we have:

[tex]s_p = \sqrt{\frac{0.0322* (1-0.0322)}{135}}[/tex]

[tex]s_p = \sqrt{\frac{0.03116}{135}}[/tex]

[tex]s_p = \sqrt{0.0002308}[/tex]

[tex]s_p = 0.0152[/tex]

The control limits is then calculated as:

[tex]UCL = \bar p + z * s_p[/tex] --- upper control limit

[tex]LCL = \bar p - z * s_p[/tex] --- lower control limits

So, we have:

[tex]UCL = \bar p + z * s_p[/tex]

[tex]UCL = 0.0322 +3 * 0.0152[/tex]

[tex]UCL = 0.078[/tex]

[tex]LCL = \bar p - z * s_p[/tex]

[tex]LCL = 0.0322 - 3 * 0.0152[/tex]

[tex]LCL = -0.013[/tex]

Since the calculated LCL is less than 0, we simply set it to 0

[tex]LCL = 0[/tex]

So, the p chart control limits are:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Answer:

4. 52 ft^2

5. 25 ft^2

Step-by-step explanation:

15 -11 To get the width of scrapbooking which is = 4

4 * 13 = 52 ft^2

9 - 4 = 5 ft

5 * 5 = 25ft

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

equation: 39 - 12 = x

x = 27 (stamps)

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Scientific notation is helpful when dealing with really large numbers with a lot of zeroes because you can express them with smaller numbers, and it looks a lot more simple. It's just a different way to express numbers.

Here's an example : Let's say someone asked me to put the number

650,000,000 into scientific notation.

That would be 6.5 ✕ 10^8

Hope this helps, please mark brainliest if possible. Have a nice day.