Find the value of x to the nearest tenth.
26.2
26.3
80.8
1,530

Find The Value Of X To The Nearest Tenth.26.226.380.81,530

Answers

Answer 1

Answer:

x = 26.3

Step-by-step explanation:

There are three trigonometric rules that this question will apply to, they are:

[tex]Sin\theta\frac{opp}{hyp} Cos\theta\frac{adj}{hyp} Tan\theta\frac{opp}{adj}[/tex]

Where opp is the length of the side opposite to angle Φ, hyp is the hypotenuse of the triangle and adj is the length of a side adjacent to angle Φ.

In the provided picture, angle Φ has been provided alongside the hypotenuse with the opposite side length needing to be calculated. A trig function that includes all three of these must be used. The only one that does have all three is sin, ergo it is what we will use.

In the current equation form, the subject is incorrect and need to be changed so that it becomes the opposite side.

[tex]Sin\theta = \frac{opp}{hyp}\\ opp = sin\theta \cdot hyp[/tex]

Plug the known values in:

[tex]x = Sin(18\textdegree) \cdot 85\\x = 0.3090169 \cdot 85\\x = 26.266\\x = 26.3[/tex]

Hope this helps!


Related Questions

Shana spends $18 on some almonds. She pays for the almonds with two $10 bills. How much change does Shana get back? Enter your answer in the box. $

Answers

The correct answer is $2

Answer:

$2

Step-by-step explanation:

2($10)=$20

$20-$18=$2

I need helppppppppppppppppppp

Answers

Answer:

See explanation

Step-by-step explanation:

look at the photo

I hope it will help you <3

Answer:

Step-by-step explanation:

*The other person that answered may be correct, but this was my way of solving the functions.

What is the coordinate of the midpoint of AB?

Answers

Answer:

(5,4)

Step-by-step explanation:

that is directly between the two points

Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.

Answers

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

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Select TRUE or FALSE for each of the statements below.



In hanger A, 2x + 5 = 16

In hanger B, y = 2400

In hanger C, 4z = 20.8 -4.4

in hanger D, w + 2/3 = 20/3 ÷ 2

Answers

Answer:

1 true

2 false

3 true

4 false

Step-by-step explanation:

The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the variable t to represent the temperature. Which expression should Yuri write?
t greater-than negative 3
t greater-than 3
t less-than negative 3
t less-than 3

Answers

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

T>v3 since the temp was -3 degres it has to be it

The mass of an ant is 5 x 10-3 grams. The mass of a bee is 1 x 10-¹ grams. Based on this information, how many ants equal the mass of a bee?​

Answers

20 ants equals to mass of the bee if the mass of an ant is 5 x 10-3 grams and the mass of a bee is 1 x 10-¹ grams.

Ratio and proportion

GIven the following parameters from the question

Mass of an ant = 5 x 10⁻³ grams

Mass of the bee = 1 *  10⁻¹ grams

Find the ratio of both masses

Ratio =  1 x10⁻¹ /5 x 10⁻³/

Ratin = 0.1/0.005
Ratio = 20

This shows that 20 ants equals to mass of the bee

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Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?

To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.

Answers

Answer:

240

Step-by-step explanation:

because each side is 60 inches so do 60x4 and you get 240

Answer:

Option D!

Step-by-step explanation:

Hope this helps.

Find the area. Please help me with this problem:)

Answers

Answer:

132 square feet

Step-by-step explanation:

If you need an explanation, just ask.

Hope this helps! Pls give brainliest!

The volume of a cone is 400π cm3. The height of the cone is 12 cm.

What is the length of the radius of the cone?

Answers

Answer:

10 cm

Step-by-step explanation:

The volume of cone formula:

V = 1/3πr²h

Substitute te given values into the formula and solve for r:

400π = 1/3πr²(12)100 = r²r = √100r = 10

Answer:

10 cm

Step-by-step explanation:

Volume of a cone

  [tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

where:

V = volumer = radiush = height

Given information:

V = 400π cm³h = 12 cm

To find the length of the radius, substitute the given values into the formula and solve for r:

[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]

Therefore, the length of the radius of the cone is 10 cm.

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What causes a quadratic formula to have negative roots?

Answers

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

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what is the surface area and volume of this figure? urgent!

Answers

Answer:

V=4960in^3

S.A=2116in^2

Step-by-step explanation:

36x2

1- 72in^2

5-2=3in

8x3

2- =24in^2

5-2=3in

5+3=8in

8x10

3- =80in^2

36-(10+8)=

0.5×18×8

4-=72in^2

72+24+80+721

C.S.A=248in^2

V= 248×20

=4960in^3

248x2

1- =496in^2

36x20

2- =720in^2

20×2

3- =40in^2

20×5

4- =100in^2

20×8

5- =160in^2

20×20

6- =400in^2

20×10

7- =200in^2

=496+720+40+100+160+400+200

=2116in^2

When moving. it can often be a questionable matter to decide among moving luck companies. u haut currently charges $19.95 per day for a 10' moving truck and $0.59 per mie. imagine that another company you- haul, moves into the market anchoffes the same 10 truck for $70 per day. assume a one-day rental takes place. using systems of linear equations, anden what mileage conditions would it make make sense to choose one company over the other? o a mileage = 50.05 o b. mileage = 50 oc. mileage = 84.83 ос o d. mileage = 70 o e. mileage = 84.03 = .​

Answers

Answer:

Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer

Step-by-step explanation:

Done this and got right

Find the missing value to the nearest hundredth.

Answers

Answer:

24.62°

Step-by-step explanation:

sin^-1 (5/12)

=24.62

Answer:

24.62°

Step-by-step explanation:

sin^-1(5÷12) = 24.62°

(if you are allowed to use calculator)

Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and loss by giving annual salary allowances of $52,000 to ramer and $41,600 to knox, 10% interest allowances on their investments, and any remaining balance shared equally. (enter all allowances as positive values. enter losses as negative values.) required: 1. determine each partner's share given a first-year net income of $102,800. 2. determine each partner's share given a first-year net loss of $20,800.

Answers

Each partner's share given a first-year net income of $102,800 is $-3,300.

Each partner's share given a first-year net loss of $20,800 is $-44,300.

What is each partner's share?

Partner' share = net income / loss - interest - salary salary allowance

Interest = ($64000 x 10%) + ($94000x 10%) = $15,800

Salary = $52,000 + $41,600 = $93,600

Share of net income = [$102,800 - (15,800 + 93600)] / 2  = $-3,300

Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300

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Help?? It's for calc.

Answers

Answer:

the answer is 1.258

Answer:

1.258

Step-by-step explanation:

The population of a town decreased by 2.5% each year. The variable y gives the population
after x years.

Answers

Answer: I assume you want an equation so thats what ill do.

y = x(0.975)

Two negative integers are 8 units apart on the number line and have a product of 308.

Which equation could be used to determine x, the smaller negative integer?

x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0

Answers

Answer:

X²-8x+308

Step-by-step explanation:

two negative integers -x and -x= +x²

8units apart=-8x

all equals 308

X²-8x=308

bring everything to the LHS

X²-8x-308=0

Which of the following statements about check-cashing companies is FALSE?

Answers

Answer:

there are no statements...

How many times more sunscreen is in Bottle B than in Bottle A? Provide
your answer using a decimal.

Answers

Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.

What is the volume of a rectangular prism?

The volume of a rectangular prism of dimensions l, w and h is given by:

V = lwh.

For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:

Va = 1 x 2 x 6 = 12 in³.

For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:

Vb = 1.5 x 3 x 4 = 18 in³.

The ratio between the volumes is given by:

r = Vb/Va = 18/12 = 1.5.

Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.

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robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%
he also agrees to pay the loan back over a 10-year-period.
how much money in total will ha have paid back at the end of the 10 years?

Answers

Answer:

£10200

Step-by-step explanation:

Amount borrowed (P) = £6000

Rate of interest (R) = 7%

Time (T) = 10 years

First, let us calculate the simple interest (SI) for 10 years.

Formula for simple interest is given as:

[tex]S.I.=\frac{PRT}{100}[/tex]

Plugging the values of P, R and T in the above formula, we find:

[tex]S.I.=\frac{6000(7)(10)}{100}[/tex]

S.I.= £4200

Total money paid back at the end of the 10 years

= £6000 + £4200

= £10200

Evaluate each expression.​

Answers

A is -11
B is -11
C is 54
Hope it helps

what is the height of the prism?

Answers

Answer:

option 1

Step-by-step explanation:

[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]

your required answer

I use 1/12 of my salary to pay for rates and taxes,1/16 to pay for insurance and 5/6 to meet other expenses. if i have r320 left of my monthly salary, calculate my yearly salary.​

Answers

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

What is the yearly salary?

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

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Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answers

The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]

Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]

It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3


This was very messy, I apologize if I did make any mistakes.

A cylinder is a radius of 10 inches and a height of 6 inches. About what is it's volume in cubic inches? Use 3.14 for pie

Answers

Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

Please mark as brainliest

A and B are complementary. If B = 26°, what is the measure of A?

26°
154°
64°
74°

Answers

Answer:

64°

Step-by-step explanation:

      When angles are complementary, they can be added together to equal 90°.

90° - 26° = 64°

           The measure of angle A is 64°.

Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4

Answers

An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,

1. Taking +5 on the right-hand side of the equation,

[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]

2. Now if we add +9 on both sides of the equation, we will get,

[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]

3. Now we look at the left side of the equation as the square of the binomial expression (x+3).

[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]

4. Taking +4 from the right side of the equation to the left side of the equation,

[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]

Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.

Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

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Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

bob rented a truck for one day.there was a base fee of $14.75, and there was an additional charge of 25 cents for each mile driven. the total cost, C (in dollars), for driving x miles is given by the following function. C(x)=0.25x+14.75 what is the total rental cost if bob drove 40 miles

Answers

C(x)=0.25x+14.75

=C(40)=0.25x+14.75

=40c=0.25(40) + 14.75

=40c=10+14.75

=40c=24.75

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