In which triangle is the value of x equal to cos−1(StartFraction 4.3 Over 6.7 EndFraction)?

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A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.

Answer:

h(0.1) = 4.97

Step-by-step explanation:

See attached working :)

Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1

Answer: Heyaa!~

                  - Write 63 as the product of prime factors -

              - Write the prime factors in ascending order -

         -   what's the highest common factor of 63 and 105   -

             Hopefully this helps you! ^^^

Answer: 450

Step-by-step explanation:

The volume is (1/2)(5)(12)(15)=450.

Answer:

y= x + b

-6 > 2x+6- graph a doted line that crosses through -6, and 2 shade below the dotted line going to the negative

18 >< 2x+6 graph a solid line through 18 and 2 and shade everything above the line going positive

have a good day hope this helped

Step-by-step explanation:

Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

Option E

The volume of the rectangular prism is exactly (3/8) of a cubic inch.

Remember that for a rectangular prism of height H, length L, and width W, the volume is:

V = H*L*W

In this case, we have:

Then the volume of the rectangular prism is given by:

[tex]V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3[/tex]

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Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

The linear function that models the relationship is P = 28,200 + 1950t.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2

The first step is to determine the rate of increase in the population:

Rate of increase = (population in 2012 - population in 2008) / number of years

(36.000 - 28,200) / 4 = 1950

P = 28,200 + 1950t

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Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

Step-by-step explanation:

we need the least or smallest common multiple for both numbers, 5 and 6.

this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :

6 has the prime factors 2 and 3.

5 has only 5.

so, the LCM is 2×3×5 = 30.

they will meet again after 30 days.

FYI -

the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.

Step-by-step explanation:

hope you have a great day

The value of x will be;

⇒ x = 13.9

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

Since, We know that;

The sine rule is;

⇒ sin A / a = sin B / b = sin C / c

By given figure, we get;

⇒ sin 83°  / x = sin 68° / 13

⇒ sin 83° × 13 / sin 68° = x

⇒ x = 0.99 × 13 / 0.92

⇒ x = 13.9

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Answer:

B) 52

Bodmas rule:

Solving Steps:

⇒ 2 × (3 - 1)⁴ + 5 × 4

⇒ 2 × (2)⁴ + 5 × 4

⇒ 2 × 16 + 5 × 4

⇒ 32 + 20

⇒ 52

Option B

Answer :

Step-by-step explanation :

We have been provided with the volume of water tank , it's length and breadth. We are asked to calculate the depth of tank (height), so we all know that water tank is always is in the shape of cuboid.

We would be using the formula of calculating the volume of cuboid and substitute the values in it.

Here,

We have :

Substituting the values :

>> 396 = 7.2 × 5.5 × h

>> 396 = (72 / 10) × (55 / 10) × h

>> 396 = 72 × 55 × h / 100

>> 396 = 3960 × h / 100

>> 396 × 100 = 3960 × h

>> 39600 = 3960h

>> h = 39600 / 3960

>> h = 3960 / 396

>> h = 10

__________________________

Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

Answer:

$14,903.85

Step-by-step explanation:

So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:

[tex]\frac{775000}{52} = 14,903.85[/tex]

Therefore, Ms. Lui earns $14,903.85 a week.

Hope this helps! If you have questions about my work, please leave them in the comments!

Answer:

the answer is 45

see the attachment photo!

The answer is 1.29029.

       [tex]log_{5}8=log(8)/log(5)[/tex]

       As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]

     So equating is the above equation, we get;

     [tex]log_{5}8=0.9030899/0.6989700[/tex]

    [tex]log_{5}8=1.292029[/tex]

Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].

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Answer:

f(t) = 101,234

Step-by-step explanation:

The volume of the solid objects are 612π in³ and 1566πcm³

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

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Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

The price of the stock after the change in price on Thursday is  $16.76.

The price of the stock at the beginning of the week is $16.81.

The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.

$17.17 = beginning price + 0.21 + 0.09 - 0.03 -  0.02 + 0.11

$17.17 = beginning price + 0.36

Beginning price = $17.17 - 0.36 = $16.81

Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 -  0.02 = $16.76

Here are the questions:

What was the price of the stock after the change in price on Thursday?

What was the price of the stock at the beginning of the week?

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The 46th term of the arithmetic progression is 288.

An arithmetic progression is a series of numbers called a sequence and the difference from one interval to another is constant.

From the given information:

156, 153, 150, ...

The 46th term will be:

[tex]\mathbf{a_{46} = a+ (n - 1) d}[/tex]

[tex]\mathbf{a_{46} = 153+ (46 - 1) 3}[/tex]

[tex]\mathbf{a_{46} = 153 + (45) 3}[/tex]

[tex]\mathbf{a_{46} =288}[/tex]

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Answer:

the orange one

Step-by-step explanation:

(10 + 10) : (5-3) =

20 : 2 =

10

Answer:

Step-by-step explanation:

when a number x is added to it's square, the total is 12. find two possible values of x

x+x^2=12

x^2+x=12

x^2+x−12=12−12

x^2+x−12=0

(x−3)(x+4)=0

x−3=0 or x+4=0

x=3 or x=−4

x=3 or x=−4

Answer:

[tex]67\frac{23}{28}[/tex]

Step-by-step explanation:

[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]

The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

∑x = 0 + 1 + 2 + 3

∑x = 6.

∑x² = 0² + 1² + 2² + 3²

∑x² = 14.

For the sample mean (profits), we have:

∑y = 46 + 57 + 84 + 76

∑y = 263.

∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)

∑xy = 453.

Now, we can determine the slope:

[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]

Slope, m = 11.7.

For the intercept, we have:

[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]

Intercept, c = 48.2.

Therefore, the linear regression equation is given by:

y = 11.7x + 48.2.

Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:

144 = 11.7x + 48.2

11.7x = 144 - 48.2

11.7x = 95.8

x = 95.8/11.7

x = 8.2.

For the calendar year, we have:

Year = 2014 + 8.2

Year = 2022.2 ≈ 2022.

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Answer:

Step-by-step explanation:

The volume of a cube is given by the formula :

a³ (where a is the side length )

So now we have to cube these lengths :

Part A :

(3x²y)³ =

(3x²y)(3x²y)(3x²y) =

(9x^4y²)(3x²y) =

27x^6y³ (This is now fully simplified so our final answer for a)

Part B:  

(5y²)³ =

(5y²)(5y²)(5y²) =

(25y^4)(5y²) =

125y^6 (This is now fully simplified so our final answer for b)

Hope this helped and have a good day

Answer:

b. line of best fit