Which of the following expressions is equivalent to……

Answer:

Step-by-step explanation:

Use law of cosine to calculate the other side.

c² = a² + b² -2ab Cos C

Here, c  is the length of the side which is  opposite side to ∠E

a = 29   ; b = 25  and C = 109

c² = 29² + 25² - 2*29*25*Cos 107

    = 841 + 625 - 1450* (-0.2923)

     = 1466 + 423.835

     = 1889.835

c =√1889.835

c = 43.47 ≈ 43

No, find ∠D using again use law of cosine

[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]

β = ∠C = 34°

α = 180 - (34 +107)

α = ∠D = 39

Other angles are

∠C = 34°     and  ∠D°39

Answer:

804

Step-by-step explanation:

603/9 x 12

67 x 12

804

Answer:

804 miles in 12 hours

Step-by-step explanation:

603/9 which = 67

67*12 which equal 804

don't forget the unit (mph)

Total swimwear = 76 bikinis + 4 other types = 80 total

divide number of bikinis by total swimwear then multiply by 100:

76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

Answer:

50,000

Step-by-step explanation:

Just put it in the answer lol :p

Answer:

28,360,000

Step-by-step explanation:

The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.

please give brainliest!

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

Formula: Higher number - Lower number ÷ original number × 100

Solve:

87.50 - 65.62 = 21.88

21.88 ÷ 87.50=0.25005714285

0.25005714285 × 100 = 25.0057142857

Round - 25%

~lenvy~

Answer:

31/10

Step-by-step explanation:

Answer 19.35 km

Step-by-step explanation:

We are looking for the Distance that Apostle Paul walked in 4.5 Hours!

I will be using the formula Distance=rate*time 1)

We DONT know the distance so I'll leave it as variable "D".

We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.

Set up the following equation. D=4.3*4.5 2)

Simplify the equation above: D=19.35

Answer:

1. a = 1

2. See explanation below.

Step-by-step explanation:

First Question

Given:

[tex]\displaystyle \large{\log_b a = 0}[/tex]

Convert to exponential:

[tex]\displaystyle \large{\log_b a = c \to b^c = a}[/tex]

Thus [tex]\displaystyle \large{\log_b a = 0 \to b^0 = a}[/tex]

Evaluate:

[tex]\displaystyle \large{b^0 = a}[/tex]

We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.

Solution:

[tex]\displaystyle \large{a = 1}[/tex]

__________________________________________________________

Second Question

Given:

[tex]\displaystyle \large{log_0 3}[/tex] and [tex]\displaystyle \large{\log_1 3}[/tex]

Let’s convert to an equation:

[tex]\displaystyle \large{\log_0 3 = x}[/tex] and [tex]\displaystyle \large{\log_1 3 = y}[/tex]

The variables represent unknown values of logarithm.

Convert to exponential:

[tex]\displaystyle \large{0^x = 3}[/tex] and [tex]\displaystyle \large{1^y = 3}[/tex]

Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.

Hence, no solutions for x and y.

Answer:

option c

Step-by-step explanation:

This is the net of square pyramid.

Base of the square pryamid is square and all the other face are triangle.

Answer:

B) B

Step-by-step explanation:

   2 times 4 is 8, so in this case the option is option b as none of the other options show this.

    In total,

2 * 4 = 8

60 * 4 = 240

240 + 8 = 248

Answer:

3/1

Step-by-step explanation:

In triangle ABC, the known side is AC, which is equal to 6. The corresponding side to AC from triangle DEF would be FD, which is equal to 2. You divide 6/2 in order to get 3/1.

Answer:

wow that is a tough one             the answer is 438654

Step-by-step explanation:

all that is to it

Answer:

Step-by-step explanation:

Inscribed angle of diameter is 90°

⇒ ∠ACB = 90°

In ΔACB,

∠A + ∠ B + ∠ACB = 180°   {Angle sum property of triangle}

a + 4a + 90 = 180

      5a + 90 = 180

           5a    = 180 - 90

            5a = 90

              a = 90 ÷ 5

a = 19 -----------(I)

In ΔCOB,

OC = OB   {Radius}

⇒ΔCOB is an isosceles triangle.

c = 4a    {angles opposite to equal angles are conguent}

c = 4*19    {From (I)}

c= 76

Answer:

38.5

Step-by-step explanation:

70*(0.55) = 38.5

Answer:

Step-by-step explanation:

To find 55% of 70, we need to write an equation.

this equation will be 55x70/100

now, the answer to 55x70 / 100 is

38.5

We get this answer, because 55x70=3850

and 3850 divided by 100 is 38.5

The solution set 3 and 7 are the true values of the absolute value equation

The absolute value equation that has a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

The solution sets of the absolute value equation are given as:

x = {3, 7}

Calculate the mean of the solutions

[tex]x_1 = \frac{7 +3}{2}[/tex]

[tex]x_1 = 5[/tex]

Calculate the difference of the solutions divided by 2

[tex]x_2 = \frac{7 - 3}{2}[/tex]

[tex]x_2 = 2[/tex]

The absolute value equation is the represented as:

[tex]|x - x_1| - x_2 = 0[/tex]

Substitute known values

[tex]|x - 5| - 2 = 0[/tex]

Add 2 to both sides

[tex]|x - 5| = 2[/tex]

Hence, the absolute value equation that has the a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

Read more about absolute value equation at:

https://brainly.com/question/2166748

Given:

[tex]\frac{3}{9}[/tex] and [tex]\frac{1}{2}[/tex]

Finding a common denominator:

9 * 2 = 18

       -> If you need to stop here, a common denominator is 18.

Converting [tex]\frac{3}{9}[/tex]:

[tex]\frac{3}{9}[/tex] = [tex]\frac{3*2}{9*2}[/tex] = [tex]\frac{6}{18}[/tex]

Converting [tex]\frac{1}{2}[/tex]:

[tex]\frac{1}{2}[/tex] = [tex]\frac{1*9}{2*9}[/tex] = [tex]\frac{9}{18}[/tex]

       ->  [tex]\frac{6}{18}[/tex] and  [tex]\frac{9}{18}[/tex]

Answer:

False

Step-by-step explanation:

There are some quadratic equations that cannot be solved using the factoring technique. That is why the quadratic formula exists, to solve equations that cannot be factored.

Answer:

65

Step-by-step explanation:

angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.

130=2y

130/2=2y/2

65=y

Answer:

y = 65°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.

⇒ m∠2 = m∠4

⇒ 130° = 2y

⇒ y = 130° ÷ 2

⇒ y = 65°

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Answer:

27 boxes.

Step-by-step explanation:

This situation can be represented by the equation:

(112 - 105) + 20 = ?

First we subtract 105 from 112:

112 - 105= 7

Now add 20.

7 + 20 = 27

Natalie has 27 boxes now.

Answer:

D

Step-by-step explanation:

[tex]4\sqrt{x2[/tex] means [tex](x^{2})^{\frac{1}{4} }[/tex] so then according to indices rule, the powers will be multiplied. Do the same thing for y and z as well, and you will get the answer

Answer: 6

Step-by-step explanation:

Because you have to multiply then remove the fraction and set equal to 0 and solve for x which I’m pretty sure gives u 6

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

-----------------------------------------------------------

If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.

Answer:

9

Step-by-step explanation:

12ⁿ⁻⁵ = 12⁴

n - 5 = 4

n = 9

The length of the radius of the mudel is 9 cm

[tex]By\ the\ topic[/tex]

[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]

[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]

[tex]\frac{4}{3}\pi\ r^3[/tex]

[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]

[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]

[tex]\gamma3=2289.06\div\pi[/tex]

[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]

[tex]r=9cm[/tex]

[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]

[tex]mudel\ is\ 9\ cm[/tex]

[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]

I hope this helps you

:)

Answer:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Step-by-step explanation:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

The only common factor between these two numbers will be 1.

Remember that any number can be decomposed as a product of prime numbers. For example for 18 we have:

18 = 2*3*3

There 18 is written as a product of its prime factors.

Now, for our case of p^n and q^m we will have:

p^n = P = p*p*p...*p     n times.

q^m = Q = q*q*q*...*q     m times.

Now, notice that because q and p are primes, there is no common factor in these two decompositions. (and we can't decompose it furthermore). Then we conclude that the only factor that these numbers share is the trivial one, which is 1.

If you want to learn more about prime numbers, you can read:

https://brainly.com/question/145452

Answer:

0.1 percent

Step-by-step explanation:

sorry I don't have an explanation. sorry if it's wrong, at least I tried

Answer:

0.1

Explanation:

It's right