Solver for x. Round to the nearest tenth. (Show Work)

Answer:

16

Step-by-step explanation:

sin = adjacent ÷ hypotenuse.

sin 45 = x ÷ 23

0.71 = x ÷ 23

0.71 × 23 = x

x = 16.26

~ 16.

Answer:

Step-by-step explanation:

using the Pythagorean theorem     a² + b² = c²

in this triangle a = x and b = x  so   x² + x²  = c²       c is the hypotenuse

                 x² + x²  = c²

                   2x² = c²             since c = 23 solve for x

                     x² =  c² / 2

                     x   =  ± √(c² / 2)

                     x   =  ± √(23² /2)

                          = ± √(529 /2)            

                          = ± √(264.5)            

                          =  16.26          x can't be negative

        That is correct but it doesn't answer the question

                 x = ??? / √xx

           sin 45  = √2 / 2  which equals    x / 23

                      √2 / 2  =    x / 23

                       x =  23 (√2 / 2)

                          =  23 (√2)  / 2             divide the √2 numerator and demenator

                          =  23 (√2)/√2 / (2 / √2)

                           = 23 / (2 / √2)

Sorry I have no idea what goes in the green box

Answer:

[tex]V=471\ \text{units}^3[/tex]

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

[tex]V=\pi r^2 h[/tex]

Substitute all the values,

[tex]V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3[/tex]

So, the volume of the cone is [tex]471\ \text{units}^3[/tex].

Answer:

The answer is C

9514 1404 393

Answer:

  b = 6

Step-by-step explanation:

The area is given by the formula ...

  Area = 1/2·ab·sin(C)

  12 = (1/2)(8)b·(1/2) . . . . . fill in the given values

  12 = 2b . . . . . . . . . . . simplify

  6 = b . . . . . . . . . . . divide by 2

The length of side b is 6 units.

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Answer: x = 2.5

Explanation:

5.2 * 9.3 * x = 120.9

120.9 / 5.2 = 9.3 * x

23.25 = 9.3 * x

23.25 / 9.3 = x

x = 2.5

I hope this helped!

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Answer: $6.40

Step-by-step explanation: im just way too big brained

Answer:

$40

Step-by-step explanation:

32/(1-.2)=32/.80=40

Answer:

a because 5 or less than 5 equals almost or less than 10

Answer: 9

Step-by-step explanation:

If 19 students take history, 12 take economics and 5 take both:

19-5 = 14 students that take only history

12-5 = 7 students that take only economics

Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26

Therefore students who take neither: 35 - 26 = 9

students who take neither: 35 - 26 = 9.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

In a class of 35 students, 19 take history and

12 take economics. If 5 take both subjects,

now,

If 19 students take history, 12 take economics and 5 take both:

19-5 = 14 students that take only history

12-5 = 7 students that take only economics

Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26

Therefore students who take neither: 35 - 26 = 9

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

Answer:

a= 6

b= 7

c= 8

d= 7

e= 6

Step-by-step explanation:

The table of height versus width shows that the values represented will be 6, 7, 8, 7, and 6.

From the given information, a = 6. Therefore, the value of b will be: = a + 1 = 6 + 1 = 7

The value of c will be:

= a + 2 = 6 + 2 = 8.

The value of d is also the value of b which will be 7. Lastly, the value of e will be 6.

Learn more about height on:

https://brainly.com/question/12903285

Answer:

Step-by-step explanation:

we are given a equation

[tex] \sf \displaystyle \: \log_{4}( - x) + \log_{4}( 6 - x) = 2[/tex]

to solve so

recall logarithm multiplication law:

[tex] \sf \displaystyle \: \log_{4}( - x \times (6 - x)) = 2[/tex]

simplify multiplication:

[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = 2[/tex]

remember [tex]\displaystyle \log_{4}(4^2)=2[/tex]

so

[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = \log_{4}( {4}^{2} ) [/tex]

cancel out [tex]\log_4[/tex] from both sides:

[tex] \sf \displaystyle \: - 6 x + {x}^{2} = {4}^{2} [/tex]

simplify squares:

[tex] \sf \displaystyle \: - 6 x + {x}^{2} = 16[/tex]

move left hand side expression to right hand side and change its sign:

since we are moving left hand side expression to right hand side there'll be only 0 left in the left hand side

[tex] \sf \displaystyle \: - 6 x + {x}^{2} - 16 = 0[/tex]

rewrite it to standard form i.e ax²+bx+c=0

[tex] \sf \displaystyle \: {x}^{2} - 6x - 16 = 0[/tex]

rewrite -6x as 2x-8x:

[tex] \sf \displaystyle \: {x}^{2} + 2x - 8x - 16 = 0[/tex]

factor out x and 8:

[tex] \sf \displaystyle \: x {(x}^{} + 2) - 8(x + 2) = 0[/tex]

group:

[tex] \sf \displaystyle \: (x - 8){(x}^{} + 2) = 0[/tex]

[tex] \displaystyle \: x = 8 \\ x = - 2 [/tex]

[tex] \therefore \: x = - 2[/tex]

move left hand side log to right hand side:

[tex] \displaystyle \: \log(x ) + \log(x - 21) = 2 [/tex]

use mutilation logarithm rule;

[tex] \displaystyle \: \log( {x}^{2} - 21x) = 2 [/tex]

[tex]\log(10^2)=2[/tex] so

[tex] \displaystyle \: \log( {x}^{2} - 21x) = \log({10}^{2} )[/tex]

cancel out log from both sides:

[tex] \displaystyle \: {x}^{2} - 21x = 100[/tex]

make it standard form:

[tex] \displaystyle \: {x}^{2} - 21x - 100= 0[/tex]

factor:

[tex] \displaystyle \: {(x} + 4)(x - 25)= 0[/tex]

so

[tex] \displaystyle \: x = 25[/tex]

Answer:

63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area

Step-by-step explanation:

Answer:

The Answer is D.

Step-by-step explanation:

You just need to plug in x for the first few, if it doesn't match go to the next option.

I tried this and figured out it's d in less than a minute.

Answer:

Output, y = -1 when input, x = 30

Step-by-step explanation:

Given equation:

y = 14 - 0.5x

Where,

y = output

x = input

Find the output, y, when the input, x, is 30

y = 14 - 0.5x

y = 14 - 0.5(30)

y = 14 - 15

y = -1

Therefore,

Output, y = -1 when input, x = 30

Answer:

-1

Step-by-step explanation:

KHAN ACADEMY :)

I CAN FIND AN EXPLANATION IF NEEDED

Answer:

Carolyn did not distribute the -2 to both terms

Step-by-step explanation:

This was how Carolyn solved the second step:

[tex]3x-2(x+2)=7\\3x-2x+4=7[/tex]

She did multiply both terms in the parentheses by 2, but she did not change the sign for the 4. It should instead be -4 since a negative number multiplied by a positive number will always make a negative number.

Here is the correct way of solving it:

[tex]3x-2(x+2)=7\\3x-2x-4=7[/tex]

I hope this helps!

Answer:

a)32500

b)0.00604

c)2.4×10^6

d)1.47x10-³

Step-by-step explanation:

plz can i get brainliest:)

Answer:

2/1

Step-by-step explanation:

Use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]

Answer:

16/5

Step-by-step explanation:

Answer:

AB = 9.5 units

Step-by-step explanation:

Here, we want to find the measure of AB

To do this, we are going to make use of the sine rule

for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle

Thus, we have it that; in a triangle ABC

a/sin A = b/sin B = c/sin C

using the triangle given;

we need the measure of the angle at C

The sum of angles in a triangle is 180

thus;

C + 93 + 48 = 180

C = 180 - 93 -48

C = 39 degrees

Now, to get the value of AB;

AB/sin 39 = 15/sin 93

AB = (15 * sin 39)/sin 93

AB = 9.5 units

Answer:

Diameter = 54 units

Step-by-step explanation:

Given:

Angle θ = 80'

Length of arc TV = 12π

Find:

Diameter

Computation:

Length of arc = [θ/360][2πr]

So,

12π = [80/360][2πr]

54 = 2r

r = 27

Diameter = 2r

So,

Diameter = 54 units

Answer:

$21847

Step-by-step explanation:

Answer: the equation is

y=-2/7x +52/7 and the slope is -2/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10=Z and 10=Y

Step-by-step explanation:

since it is a 45, 45, 90 triangle

both Z and Y will be the same length

the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs

Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10

Hope that helps :)

Answer:

5 kg flour remains

Step-by-step explanation:

80% of the original 25 kg comes to 0.80(25 kg), or 20 kg.  We convert 80% to its decimal equivalent, 0.80, to get this result  

The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.

5 kg flour remains.

Answer:

25 - 20 = 5 kg

Steps:

25×80/100 = 25×8/10 = 200/10 = 20 kg

25 - 20 = 5 kg

Answer:

20ml : 6ml: 15ml

Step-by-step explanation:

1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.

Answer:

[tex]4\frac{19}{24}[/tex]

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]

Next thing to to is subtract 1/3 from both sides to get:

[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]

Finally, you subtract 123 over 24 by 8 over 24.

K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]

Then just simplfy the 115/24 to get

[tex]4\frac{19}{24}[/tex]