If sintheta = cos theta then the value of acute angle is ​

Answer:

86

Step-by-step explanation:

Answer:

A) 56

Step-by-step explanation:

Cut the figure (I did it horizontally)

Then solve for the volume of each prism and add

(6*2*2) + (4*4*2)

24+32

56

Answer:

The heading

Step-by-step explanation:

The greeting is usually started with, "Dear (Person or agency name)"

the body is simply the place where you write what you want to write to the person.

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Answer:

35 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Diameter of the circle = 70m

As we know,

Radius = d÷2

Therefore,

Radius of the circle = 70m ÷ 2

= 35m (Ans)

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Answer:

isosceles triangle

Step-by-step explanation:

the first one is isosceles triangle

Answer:

A)6

B)x 2

C)x

Step-by-step explanation:

Answer:

A.

an=42+(n−1)(−6)a subscript n baseline equals 42 plus left parenthesis n minus 1 right parenthesis left parenthesis negative 6 right parenthesis

Step-by-step explanation:

42 is the first term and  −6 negative 6 is the common difference.

Answer:

Vertex: (0,-1)

AoS: x=0

y-intercept: -1

x-intercepts: -1 & 1

Step-by-step explanation:

Don't know the domain or range

Answer: 5 is in the tenths place

4 is in the hundredths place.

Step-by-step explanation:

When dealing with the place value of numbers, we should note that the digit is in the tenths place is the first didgut after the decimal point. In the number 12.54, the first digit after the decimal place is 5.

The digit in the hundredths place is the digit that comes immediately after the tenths place. In this case given the number 12.54, the digit in the hundredths place is 4.

Step-by-step explanation:

Let's solve for c.

5c=d

Step 1: Divide both sides by 5.

5c

5

=

d

5

c=

1

5

d

Answer:

the probability of picking an odd number is 7/10

Answer:

The probability of getting an odd number is 7/10.

Step-by-step explanation:

There are 7 odd numbers: {1, 3, 7, 9, 15, 19, 21}

There are 3 even numbers: {2, 10, 20}

There are 10 numbers overall: {1, 2, 3, 7, 9, 10, 15, 19, 20, 21}

7 odd numbers out of 10 numbers is equal to 7/10

Answer:  $ 126.65

Step-by-step explanation:

149/100)*15 =

(149*15)/100 =

2235/100 = 22.35

15% of $149 is 22.35

so ,

   real price-15% of real price= sale preice

  $149-$22.35=$126.65

Answer:

$ 126.65

Step-by-step explanation:

$ 149 multiply 15 % which is 0.15

Which is $ 22.35

Take $ 149 - $22.35 = $126.65

Answer:

63

Step-by-step explanation:

Basically just do the equequation for the volume, witch is 7x3x3 and you get 63

Answer:

y = 2x + 6

Step-by-step explanation:

slope-intercept form => y = mx + b

substitute two of the (x, y) into the equations: y = mx + b  to solve for m and b

=> 0 = -3m + b, 6 = 0m + b

6 = 0m + b => b = 6

substitute b = 6 into 0 = -3m + b to solve for m:

=> 0 = -3m + 6 => -3m = -6 => m = 2

plug in b = 6 and m = 2 into the equation y = mx + b:

=> y = 2x + 6

Answer:

y=−x+3

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b

is the y-intercept.

y=mx+b

Answer: No you can not make any triangles with 2 inches, 2 inches and 4 inches. hoped this helped!

Step-by-step explanation:

Answer:

2

+

5

+

6

=

0

Answer:

Step-by-step explanation:

This is terminated after 4 places of decimal

Answer:

Step-by-step explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

Answer:

BELOW

Step-by-step explanation:

SO lets think about the information they give us.

Khan acadamy says that we have -3 x and 5 x.

So that just means that the quadratic at 0 has one curved line at -3x and another at 5x. Note that you should put the green dot on the top right on either -3x or 5x to do this.

Then they say the minimum is -4 y.

This just means that when x is 0, y should be -4. Note that you should put the midddle bottom green dot at -4 y exactly on the black line, which is at 0 x.

Green dot top right: (-3 or 5, 0)

Green dot middle bottom: (0, -4)

Hope this helps! ;)

Answer:

d = 16.7 in

Step-by-step explanation:

Since C = πd, d = C/π.          52.438 in

Here, with C = 52.438, d = ----------------- = 16.7 in

                                                  3.14

[tex]{\boxed{\boxed { \tt {d=16.7 in}}}}[/tex]

Since C=πd = c/π 52.438 in

C=52.438 , d = ________= 16.7 in

3.14

#CarryOnLearning

#LetsJustTheSummer

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer:

4-3=1

8+9=17

7 x 2= 14

Step-by-step explanation:

Answer:

1

17

14

Step-by-step explanation:

4 + -3 = 1

8 - -9=17

14/2=7