Evaluate the value of x to 1 d.p


Thank you

Answers

Answer 1

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]


Related Questions

4x + 8y = 24 y = -1 2 x + 5

Answers

32y + 5 - 8x

always combine the letters and subtract or add them together

Answer:the answer to this is 16x -16y=5.

step by step explanation:.

4x+8y=24y=-12x+5

= 4x+13x+8y-24y=5.

16x - 16y =5.

Statement about the function f(x)=5(0.9)^x

Answers

Answer:

It's an exponential function

Step-by-step explanation:

That's one statement

Hope it helped

Answer: all the above

Explanation: hope that helps lol

If 4 is multiplied by the difference of a number and 3, the result is 32, which equation could be used to find the value of the number?

Answers

Step-by-step explanation:

I think 4 (x-3)=32 is right

The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?

Answers

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

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

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

Consider the algebraic expression:
−z − 7y + 18x + 4
Which of the following is a constant in this expression?
Which of the following lists all the coefficients in this expression?

Answers

Answer:

constant: 4

coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)

Step-by-step explanation:

coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.

constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

therefore, 4 is a constant.

hope this helps! if it does, please mark brainliest! thanks!

Answer:

4

-1, -7, 18

Step-by-step explanation:

find the distance,(-2,3)(-8,3)

Answers

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6

help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.

Answers

Answer:

Step-by-step explanation:

none in the first 3 box

none in the second 3 boxes

2 in the third 3 boxes

1 in the 4th three boxes

1 in the 5th three boxes

3 in the 6th three boxes

and none in the last 3 boxes

hope this helped :D

PLEASE HELP!! WILL AWARD BRAINLIEST!!

Answers

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?

Answers

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week? A INEQUALITY (please)

Answers

Answer:

At least 11 miles a day.

Step-by-step explanation:

(80-14)÷6≥80

HELP ME PLEASE!! I’ll give you brainliest!

Answers

Answer:

D, C, B

Step-by-step explanation:

Last week, Nora sold 36 pineapples ([tex]48-12=36[/tex]), and 48 bananas.

Last week, the ratio of bananas sold to pineapple sold was [tex]48:36[/tex], which simplify to [tex]4:3[/tex]

The ratio means that for every 4 bananas sold, the number of pineapple sold was 3.

Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07

Correct answer: -0.07​

Answers

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *

Answers

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

someone please please help me with this !

Answers

Answer:

4y+x - 16 = 0

Step-by-step explanation:

Given the equaton y - 2 = 4 (x-1)

Get the slope of the line

y - 2 = 4x  - 4

y =  4x - 4 + 2

y = 4x - 2

Since y = mx+b for a line

mx = 4x

m = 4

Slope of a line perpendicular M = -1/4

If the line passes through the point (-4, 5)

The equation in point slope form is expressed as y-y0 = m(x-x0)

Substitute;

y - 5 = -1/4(x-(-4))

y - 5  = -1/4(x+4)

4(y-5) = -(x+4)

4y - 20 = -x-4

4y+x-20+4 = 0

4y+x - 16 = 0

This gives the required equation

Quick questionnnnn :P

Answers

Answer:

44.

Step-by-step explanation:

Given expression: [tex]3t^2-t[/tex]

To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.

After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.

[tex]3(4)^2-4[/tex]

[tex]=3(16)-4[/tex]

[tex]=48-4[/tex]

[tex]=48-4=44[/tex]

[tex]\to \inft3(4)^2-4=44[/tex]

Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.

I need to find x pls help

Answers

x = 120 degrees

Explanation:

Draw the line BC

(Angle DBC is 90 degrees because it is an angle in a semicircle.)
Angle DBC = 90 degrees

Angle ABC = Angle ABD + Angle DBC = 30 + 90 = 120 degrees

What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6

Answers

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

Answer:

133.33%

Step-by-step explanation:

x/y * k = 1.6x / 1.2y

k = (1.6x / 1.2y) / (x/y)

k = 1.6/1.2

k = 4/3 = 1.3333 = 133.33%

Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..

Answers

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

What amount would yield an interest of $66 in 2 years at 3% p.a.?

Answers

It would be 12 because you have to solve for the percent

By how many % did 100 decrease to 79?

Answers

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft

Answers

Given:

Stacked Hay Bales:

L = 1 1/3 feet
W = 4 feet

The volume of each hay bale is equal to 10 2/3 cubic feet
The number of hay bales stacked = 8

To solve for the height, use the volume of the bales and the given length and width of a single bale.

V = l x w x h
10 2/3 cubic feet = 1 1/3 feet * 4 feet * height
height = 2 feet

So, if the height of one bale is 2 feet, then the height of 8 bales stacked is

2 feet * 8 bales = 16 feet

Therefore the height of the stacked hay bales is 16 feet.

Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre distancia y el tiempo y de valor de su velocidad v=d/t

Answers

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

Convert to percentages. List answers starting from the top. *
41%
1.836
6/50

Answers

Answer:

41% is already in percentage form.

1.836 is 183.6 %

6/50 is 12%.

Step-by-step explanation:

41% is already in percentage form, so I'm just going to leave that as it is.

1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.

6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.

Please mark branliest, thanks!

How important is career success to you

Answers

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile.

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile

) Factorise
a2 + ab + a
Answer

Answers

Answer:

Step-by-step explanation:

a^2+ab+a

a(a+b+1)

Answer:

a(a+b+1). was this helpful

What is 6574893 + 7?????

Answers

Answer:

6574900

Step-by-step explanation:

Answer:

6,574,900

Step-by-step explanation:

have a good day

Find the value of g in the figure given below.
Assume that the lines are parallel.

Answers

Answer:

d=60-degree (Vertically opposite angles)

e=d=60-degree (Alternate angles)

e+g=180-degree (Being in a straight line)

60+g=180

g=180-60

g=120-degree

Answer:

angle g = 20 degree

Step-by-step explanation:

60 degree + angle g = 180 degree (being co exterior angles)

angle g = 180 - 60

angle g = 120 degree

Note : co interior angles are the angles formed on the exterior of the two parallel lines and which are on the same side of the transversal  .

If 2^x = 5, what is 2^3x - 4?

Answers

Answer:

the value of x is 2^9/4 then 2^3x-4=2^11/4

The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers

Answers

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

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