Solve for x. Round to the nearest tenth, if necessary.

Solve For X. Round To The Nearest Tenth, If Necessary.

Answers

Answer 1

Hi there!

1. Trigonometric Ratio

For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.

3. Using Cosine Ratio

Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

x = 2.8


Related Questions

Last year 160 new candidates submitted applications to work for an agency. This year, that number is on target to increase by 25%. There are 6 months left in the year. How many new applications has the agency received so far this year?

Answers

Answer:100

Step-by-step explanation:

Given

Last year 160 new candidates submitted to work for agency

It is expected to increase by 25% that is , increase in one year should be

[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]

200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.

please help! i have no idea

Answers

Answer:

θ = 51.7

SOH-CAH-TOA

CAH: COS = ADJ/HYP   cos(θ) = 19.4/29.3

θ = 48.5

93.2 + 48.5 + x = 180

x = 38.3

90 + 38.3 + θ = 180

θ = 51.7

Step-by-step explanation:

[tex]x^2-x-6=0[/tex]

Answers

Answer:

x = 3  or  x = -2

Step-by-step explanation:

x² - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0  or  x + 2 = 0

x = 3  or  x = -2

Since x and x -1 are two consecutive numbers that x > x-1, x= 3

lf y 1/4 · when x=5, find y when x=7. given that y varies directly with x.

y=​

Answers

Answer:

y= 0.35

Step-by-step explanation:

y 1/4

when x=5,

find y=? when x=7.

given that y varies directly with x.

y = kx

Where k is the constant of proportionality

k= y/x

k= (1/4)÷ 5

k= 0.05

y= kx

y= (0.05)(7)

y= 0.35

I Hope this will helpful...

Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?

14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49

Answers

Answer:

n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What will be his gain Or loss percent ? (Take cost price as Rs 100)​

Answers

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

[tex]100 \times \frac{120}{100} = 120[/tex]

(20 percent more than cost price)

The discount he put: 15 percent

[tex]120 \times \frac{85}{100} [/tex]

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

The Changs received a delivery of fuel oil totaling 35.00 gallons. The oil cost $3.05 per gallon. What did the Changs pay for the delivery

Answers

Answer:

$106.75

Step-by-step explanation:

Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.

Since the Changs have 35 gallons of oil, the equation would be;

3.05(35) = 106.75

The Changs paid $106.75 for the delivery.

I need help to find the value of x. Round to the nearest tenth

Answers

Answer:

17.1

Step-by-step explanation:

tan(35)=12/x, x=17.1

Answer:

x ≈ 17.1

Step-by-step explanation:

The angle is 35 degrees, so we do tan(35)

Which equals the side divided by x.

tan(35) = 12 / x

So x ≈ 17.1

The cost,c(x), for a taxi ride is given by c(x)=3x+2.00, where x is the number of minutes. What does the slope mean for this situation

Answers

Answer:

for every minute it will cost 3 dollars

Step-by-step explanation:

c(x)=3x+2.00

The cost to get in the taxi is 2 dollars

The slope is 3

3x means that for every minute it will cost 3 dollars

Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)?

Answers

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?

Answers

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

3.

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.


A. quadratic; y = 91x2 + 0.77

B. exponential; y = 91 • 0.77x

C. linear; y = 0.77x + 91

D. quadratic; y = 0.77x2 + 91

Answers

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

I just substituted the x on all of them and only one got the correct y which is B.

...............................................................................................................................................

The Answer is B.

y=91*0.77^x

...............................................................................................................................................

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

Just is

Evaluate the expression when b= -6.
b^2-6b+4

Answers

-6^2 = 36 + 36 + 4 + 76
-6(-6) = 36

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

write the factors of the following numbers 8​

Answers

the factors of 8 are as follow:

1,2,4,8

Answer:

Factors of 8 are 1, 2, 4, and 8.

Step-by-step explanation:

hope it is helpful to you

Help anyone can help me do the question,I will mark brainlest.​

Answers

Step-by-step explanation:

h) p^2+b^2=h^2

5^2+x^2=8^2

25+x^2=64

x^2=64-25

x^2=39

x=√39

x=6.244998

We know that

p² + b² = h²

Part a

5² + x² = 8²

x² = 64 - 25

x = √39

Part B

4² + 6² = x²

16+36 = x²

√52 = x

√2×2×13 = x

x = 2√13

Must click thanks and mark brainliest

The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Find the
i)value of x
ii) area
iii)cost of weeding the plot at GHc 0.24 per m²​

Answers

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

Cost= 0.24 * 0.0175 = GHc 0.0042

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The cost of weeding the rectangular plot is 0.0042 GHc.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

A.) The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,

Perimeter of the rectangel = 2(L+W)

80 = 2[(2x+5)+(x-10)]

80/2 = 2x+5+x-10

40 = 3x -5

40+5 = 3x

x = 15

Hence, the value of x is 15.

B.) The length of the rectangle = (2x+5) = 2(15)+5 = 35 cm = 0.35 m

The width of the rectangle = (x-10) = 15-10 = 5 cm = 0.05 m

Now, the area of the rectangle = L×B = 0.35m × 0.05m  = 0.0175m²

C.) Given the cost of weeding 1m² is 0.24, therefore, the cost of weeding the rectangular plot is

Cost = 0.0175 × 0.24 = 0.0042 GHc

Hence, the cost of weeding the rectangular plot is 0.0042 GHc.

Learn more about Rectangle:

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The diagram below represents which percent?

An area model with 4 shaded sections and 1 unshaded section.

Answers

Answer:

25%

Step-by-step explanation:

1 ÷ 4 = 0.25

0.25 x 100 = 25 = 25%

Determine the value of x in the diagram

Answers

What diagram????? There is no diagram

what is the value of x

Answers

Answer: 24(option A) is the answer

exterior angle = 360/n

so, n = 15

then, 360/15 = 24

What is the reciprocal of 7/9 it’s a fraction by the way

Answers

Answer:

9/7

Step-by-step explanation:

Reciprocal means 1 over the number

1 / (7/9)

1 * 9/7

9/7

Answer:

[tex] = \frac{9}{7} [/tex]

Step-by-step explanation:

Reciprocal means inverse:

[tex] {( \frac{7}{9} })^{ - 1} = (\frac{9}{7} ) {}^{1} \\ \\ = \frac{9}{7} [/tex]

On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she processed 15,000 letters. How many did she process on Tuesday

Answers

Let the number of letters processed on Monday = x

She processed 3 times letters on Tuesday.

Therefore, number of letters processed on Tuesday = 3x

Number of letters processed on Wednesday = 5000

Total number of cards processed in 3 days = 15000

Therefore, equation for the situation will be,

x + 3x + 5000 = 15000

4x = 15000 - 5000

4x = 10000

x = 2500

Since, number of letters processed on Tuesday = 3x

Therefore, number of letters processed on Tuesday = 3(2500)

                                                                                             = 7500

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Find the measure of one interior angle for the following regular polygon

Answers

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

[tex](n-2) * 180[/tex],  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

[tex](5-2) * 180\\[/tex]

[tex]3 * 180[/tex]

= [tex]540[/tex]

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

[tex]540/5 = 108[/tex]

Answer: 108 degrees

Step-by-step explanation:

How do radical expressions relate to everyday life , give atleast 3 examples !!!!!

Answers

Radical expresions are used in fields like
1) Architecture
2) Carpentry
3) Masonry
it is used to calculate formulas such as home inflation

Q = (√x-5)² + (√x+4)-41​

Answers

Answer:

. .

Step-by-step explanation:

x^2-9x√x-12

solve by using formula (a+b)^2 and open the brackets

q = ( x ) 2 − 9 x − 12

cherly gets paid $8 per hour at her job at the record store. she made a total of $96 last week .write a multiplication equation to show how many hours she worked last week

Answers

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

What is this? Please help!!

Answers

Answer:

23/3 or 7 2/3 units ^3

Step-by-step explanation:

The formula for volume is

V = Bh where B is the area of the base and h is the height

V = 23/4 * 4/3

Rewriting

V = 23/3 *4/4

V = 23/3 units ^3

or if they want a mixed number

V = 7 2/3 units ^3

B
C
А
Find the length of "a", to
the nearest tenth, using
the Pythagorean Theorem.
Enter

Answers

Answer:

5.3

Step-by-step explanation:

a^2+6^2=8^2.

a^2=64-36. a=2*sqrt(7)=5.3

Brainliest 70 Points! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Answers

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

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7+3√5/3+√5 - 7-3√5/3-√5​

Answers

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and
there are an assortment of snacks available to purchase for $3 each. How much total
money would Hawa have to pay for her family if she were to buy 10 snacks for
everybody to share? How much would Hawa have to pay if she bought & snacks for
everybody to share?
Total cost with 10 snacks:
Total cost with x snacks:

Answers

Answer:

The snack s will cost 30$. But the movies would cost 75$

The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be $30.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there is an assortment of snacks available to purchase for $3 each.

The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be given as,

⇒ 10 x $3

⇒ $30  

More about the linear equation link is given below.

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