Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
15 cm

Calculate The Size Of Angle X.Give Your Answer To 1 Decimal Place.8 Cm11 Cm15 Cm

Answers

Answer 1

Answer:

45.6° (1 d.p)

Step-by-step explanation:

Using the cosine rule;

c = √( a² + b² - 2ab Cosx)

11 =√(8² + 15² - 2 (8) (15) Cosx)

11² = 8² + 15² - 240 Cosx

11² - 8² - 15² = - 240 Cosx

-168 = -240 cosx

cosx = 0.7

x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°

Answer 2

Answer:

45.6

Step-by-step explanation:


Related Questions

Find the length of the
missing side of the triangle
to the nearest tenth.

Answers

Hey! So you’re gonna need to use the Pythagorean Theorem (a^2 + b^2 = c^2).
You’re looking for one of the legs here, so after inputting the values your equations should look like this: 6^2 + b^2 = 10^2.
Next, find what the numbers squared are: 36 + b^2 = 100.
Then, isolate the variable: b^2 = 64.
Lastly, square root both sides: √b^2 = √64.
You should find the answer is 8.

Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer​

Answers

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?

28,993 years
9,955 years
2,899 years
996 years

Answers

Answer:

Step-by-step explanation:

0.5^(t/5730) = 0.30

2^(-t/5730) = 0.30

-t/5730 = log₂0.30

t = -5730 log₂0.30 ≈ 9953 years

Sports team is building a new stadium on a rectangular lot of land. It's a lot measures 10 X by five eggs and the sports field will be 6X by 2X, how much of the lot will be left over to build bleachers on

Answers

Answer:

4 X 2

8 unit²

Step-by-step explanation:

Given that:

Lot size = 10 X 5

Sport field = 6 X 2

Dimension of lot left :

(10 - 6) X (5 - 2)

4 X 2

Area left :

Length x width

4 * 2

= 8 units²

what is the slope of a line that passes through the points (2,7) and (4,11)?

Answers

slope = y2-y1/x2-x1

slope = 11-7/4-2

slope = 4/2

slope = 2

what is $78 discounted 12%

Answers

Answer:

$78 discount off 12% you would get $68.64. That is $9.36 off

Trey is currently in debt and the balance of his account is -$24. If his
sister Catherine is in three times as much debt as he is, what is the balance
of Catherine's account?

Answers

-24 multiply by three equal to -72 this is what I believe

if a circle has an area of 100 cm squared, what would be the area of a section of 45 degrees?

Answers

Answer:

45 degrees/360 degrees=1/8

So the area would be 1/8 *100=100/8=25/2

Step-by-step explanation:

Which graph represents the inequality you found in part i.?

Answers

Answer:

Graph A represents the inequality x > 6.

A

Hope this helps have a great day

what is the value of x
10= 3x - 6
X=

Answers

Answer:

[tex]x= \frac{16}{3}[/tex]

Step-by-step explanation: Can i get brain plz!

add 6 to both sides of the equation
simply/ 16=3x
divide both sides by 3
x = 16/3

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)

Answers

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.

[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)

Answers

Answer:

3.5%

Step-by-step explanation:

Given data

A=$6225

P=$5000

T= 7years

R=???

Simple interest

A=P(1+rt)

substitute

6225=5000(1+7r)

6225=5000+35000r

collect like terms

6225-5000=35000r

1225=35000r

r= 1225/35000

r=0.035

Hence the rate is 0.035*100= 3.5%

Can you help me solve this please.

Answers

Answer:

down five units, and left three units.

Step-by-step explanation:

The bottom corner moved down five units.

Then that point moved three units to the left.

It's the same for the other points too.

I need help with this question

Answers

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

A camera has a listed price of $594.99 before tax. If the sales tax rate is 7.25% , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$638.16

Step-by-step explanation:

594.99x7.25%=43.17

594.99+43.17=638.18

Which point does not belong with the other three?

(0,−3)

(0, 0)

(4,−3)

(4, 0)

Question 2
Explain your reasoning.
The point that does not belong is the only point that is
.

Answers

the 3rd one (-4,3)
because it is not located on either of the axes

Evaluate the function
F (-2) = x² - 5x + 2

Answers

Answer:

Step-by-step explanation:

Please teach me how to do this thank youuu.

Answers

Answer:

-10.2

Step-by-step explanation:

To find the equation you have to pick to random points, find the slope, and the y-intercept.

(1,-2) (2,2)

Slope = 2 - - 2 / 2 - 1

Slope = 4 / 1

Slope = 4

an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2

when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2

f(-2) = -10.2

* i really hope this made sense

please, I need your help!! I will mark correct answer as brainliest.

Answers

Answer:

3, -3, 0

Step-by-step explanation:

The exlcusions of x are where the denominator =0

So we can write the following equations

x²-9=0

and

5x=0

Let's solve the first one

x²-9=0

x²=9

x= ±3

and

5x=0

x=0

Therefore x cannot equal 3, -3, 0

Answer: 3, -3, 0

So, yea. The answer ontop is also correct

F(x) = 24/x^2. When x=8

Answers

Answer:

3/8

Step-by-step explanation:

F(8)=24/8^2=24/(8*8)=24/64=3/8

A 34-foot pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the end of the shadow?

Answers

Answer:

108

Step-by-step explanation:

help with rounding off please !:(

Answers

I’m a thief who stole your points lol
The answers are given are below:

Answer:

(a) 3800

(b) 7000

(c) Does unit mean ones place? 31

(d) 82.8

(e) 1000

(f) 0.48

Step-by-step explanation:

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

What is a perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

Given

if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

To know more about perfect square refer to :

https://brainly.com/question/17744523

#SPJ2

A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin

Answers

Answer:

c

Step-by-step explanation:

a. 3in, 4in, 5 in

5^2 ?  3^2 + 4^

25   ?  9 + 16

25   =  25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2  ?  5^2 + 6^2

49   ?  25 + 36

49   <  61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2  ?  8^2 + 9^2

144    ? 64 + 81

144    < 145

Because 144< 145, this is an acute triangle.

Cos b) 5/13
Tan b) 12/5 or 2 1/6 or 2 2/12
Sin b) 12/13

HELP ASAP ASAP ASAP PLS PLS JUST PLS

Answers

i hope my answer help you

1st=5x-100

2nd=1/3x-7

3rd=x²×4

The angles shown are supplementary. (3x + 15)° 60° What is the value of x?​

Answers

Answer:

x = 35

Step-by-step explanation:

Supplementary angles add up to 180°.

if (3x + 15)° and 60° are supplementary, then

3x + 15 + 60 = 180

now, you just have to solve the equation.

3x + 75 = 180

3x = 105

x = 35

Check

3*35 + 15 + 60 = 180

105 + 15 + 60 = 180

180 = 180

GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES

Answers

Answer:

Statement 2: m∠ ELD = (2x)°

Reason 4: Sum of angles on a straight line is equal to 180°

Statement 6: 2x = 56

Step-by-step explanation:

Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°

In statement 4,it is written that;

m∠ ELD + m∠ ELG = 180°

The reason behind this is that;

Sum of angles on a straight line is equal to 180°.

For reason 6, we are told it is a subtraction property.

Now the preceding statement gave us;

2x + 124 = 180

Which means that for subtraction property here, we will have;

2x = 180 - 124

2x = 56

-2/9 +1/5 help me please

Answers

Answer:

-1/45

Step-by-step explanation:

I did the equation okay hope this help!! <3

Answer:

1/40

Step-by-step explanation:

-2/9+ 1/5=0.2r

0.2r convert to fraction=1/40

hope that helps

plz mark as brainliest

Find the mean of the first 7 odd prime number?​

Answers

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

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

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

Find the side indicated by the variable. Round to the nearest tenth.​

Answers

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32°) = [tex]\frac{16}{b}[/tex]

b = [tex]\frac{16}{\text{tan}(32)}[/tex]

b = [tex]\frac{16}{0.62487}[/tex]

b = 25.605

b ≈ 25.6

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