It took Xander 31 minutes to run a 5-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minutes did it take Xander to run 1 mile during the race

Answer:

5907.2 grams

Step-by-step explanation:

16 x 28.4 x 13 = 5907.2grams

The measure of ∠S is 59.4° for trignometric identities

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

ΔSTU:

s = 50 inches

t = 58 inches

u = 630 inches

Applying the cosines rule on ΔSTU.

s² = t² + u² - 2 x t x u x cos S

cos S = (t² + u² - s²) / 2tu

cos S = (58² + 27² - 50²) / (2 x 58  x 27)

cos S = (3364 + 729 - 2500) / 3132

cos S = 0.5086.

∠S = (0.5086)

∠S = 59.4°

Thus,

∠s angle value is  59.4°.

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If Zoe already has $80 and can save an additional $6 per week using money from her after school job then the total amount of money that Zoe saved after 6 week of saving is $116  and

the expression that represent amount of money Zoe would have saved in w weeks is [tex]80+6w[/tex]  .

The amount that Zoe already saved = $80 ;

the amount that she can additionally save is = $6 per week ,

the amount of money that can be saved after 6 weeks can be written as :

[tex]Amount = \$80+(Amount Saved Per Week)\times(Number Of Weeks)[/tex]

Amount = [tex]80+6\times6[/tex]

= [tex]80+36[/tex]

= $116

and the expression for w weeks will be = [tex]80+6\times w[/tex]

The expression is ⇒ [tex]Amount = 80+6w[/tex].

The given question is incomplete , the complete question is

Zoe is saving up to buy a new bicycle. She already has $80 and can save an additional $6 per week using money from her after school job. How much total money would Zoe have after 6 week of saving ?

Also, write an expression that represent the amount of money Zoe would have saved in w weeks ?

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90° is the angle between the lines  2x = 3y = -z and 6x = -y = -2z and explained with directions of ratios as below

Direction ratios of line 2x = 3y = -z  which can be mentioned as [tex]\frac{x}{1/2} = \frac{y}{1/3} = \frac{z}{-1}[/tex] hence  [tex](\frac{1}{2} , \frac{1}{3} ,-1 )[/tex]

Direction ratios of line  6x = -y = -2z  which can be mentioned as

[tex]\frac{x}{1/6} = \frac{y}{-1} =\frac{z}{-1/4}[/tex] hence   [tex](\frac{1}{6} , -1 , \frac{-1}{4} )[/tex]

hence the dot product of the direction ratio of two line is

[tex]\frac{1}{2} .\frac{1}{6} + \frac{1}{3} . (-1) + (-1) . \frac{-1}{4}[/tex]  

= [tex]\frac{1}{12} -\frac{1}{3} + \frac{1}{4}[/tex]  

= 0

hence this shows that angle between the given equations is 90°

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Answer:

surface area ---> i

volume ---> b

radius ---> d

Step-by-step explanation:

surface area= 4πr² =4x3.14x14²=2461.76cm²

volume= (4÷3)πr³= (4÷3)x3.14x14³=11488.21cm³

radius = half the diameter = 14cm

Answer:

To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.

Step-by-step explanation:

Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.

6.022× [tex]10^2^3.[/tex]particles are in one mole.

The correct option is 6.022× [tex]10^2^3.[/tex]

Now, According to the question:

Avogadro's number

Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × [tex]10^2^3.[/tex] The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.

Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× [tex]10^2^3.[/tex]particles (atoms, molecules or ions) which is also known by the name Avogadro's number.

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The probabilities for the game of roulette that involves spinning a wheel with 38 slots, for a and b, are 0.4737, or 18/38, or 47.37%.

The following are the rationales:

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Answer:

y= -1/5x

Step-by-step explanation:

hope this helps :)

Answer:

Area: 2,088 Perimeter: 202

Step-by-step explanation:

Since it's a rectangle, both small sides are going to be the same, and both long sides are going to be the same. So for perimeter add up 29+72+29+72 to equal 202. For area you just multiply 29 times 72:)

Answer:

0.545 your welcome :D

Step-by-step explanation:

109÷200

Answer: 0.545

I just searched it up...... ya welcome homie

Step-by-step explanation:

search it "109 divided by 200" you'll get ur answer

Answer:

x = 10

Step-by-step explanation:

the legs of an isosceles triangle are congruent.

the perimeter is the sum of the 3 sides of the triangle

sum the 3 sides and equate to 106

x + 5x - 2 + 5x - 2 = 106

11x - 4 = 106 ( add 4 to both sides )

11x = 110 ( divide both sides by 11 )

x = 10

An equation that represents the relationship between x and y shown in the table is y = 1.5x.

In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.

Mathematically, the point-slope form of a line is given by this mathematical equation:

y - y₁ = m(x - x₁)

Where:

By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 21 = (96 - 21)/(64 - 14)(x - 14)

y - 21 = 75/50(x - 14)

y - 21 = 1.5(x - 14)

y = 1.5x - 21 + 21

y = 1.5x

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Answer:

d=90* e=54* f=126*

Step-by-step explanation:

plz crown

Answer:

d = 90

e = 54

f = 126

Step-by-step explanation:

Have a nice day!

Answer: 221 B.C

Step-by-step explanation:

Answer:

221 B.C.

Step-by-step explanation:

The state of Qin, based in the Sichuan plains, eventually won out in 221 B.C. under the leadership of the ruthless King Zheng. The victorious monarch gave himself the title Qin Shi Huangdi (259–210 B.C.), First Qin Emperor.Jun 3, 2019

Answer: d

cause it says its the same

Step-by-step explanation:

Answer:

Rate = 7.0% per year

Step-by-step explanation:

Formula: rate = In(A/P)/t

I = interest

n = compound, in this case continuous

A = Total amount ($133,000)

P = Principal ($33,000)

t = time (20 years)

Plug in the values and solve:

rate = In(133000/33000)/20

rate = 0.06969

Convert to percentage:

rate = 6.969%

Round to the nearest tenth of a percent:

rate = 7.0%

Answer:

72

Step-by-step explanation:

Multiply the original number by 60 and divide it by 100 to find the percent change

120 * 60 / 100 = 72

Answer:

The second one!! :)

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

pls mark me a brainliest

The dual formula is a formula which we get when we replace the symbol ∨ by ∧ , ∧ by ∨ , T by F  or F by T.

Basically , we can say that it is obtained by replacing tautology by contradiction.

There are certain rules which are to be followed while applying dual formula which are,

S1 is a tautology if and only if S2 is a contradiction.

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Answer:

There are 4 liters- in a gallon. Why? Well because for a gallon to be completely filled you need 4 liters, nothing less, and nothing more.

Answer: 3

beacuse 1 gallon is=3 liters easy i dont know why but i learn it in 4 grade

According to the probability or likelihood , Maria can expect 2 hits in the game.

Blaise Pascal and Pierre de Fermat are recognized as the fathers of probability because they laid the foundation for the field by thinking through a gambling issue posed by Chevalier de Mere in 1654.

[tex]E(X)=x.P(X=x)[/tex]

Given,

[tex]P(X=1)=0.20\\P(X=2)=0.25\\P(X=3)=0.50\\P(X=4)=0.05\\[/tex]

putting in formula,

[tex]E(X) = (1*0.20)+(2*0.25)+(3*0.50)+(4*0.05)=2.4[/tex]

As the number can not be fraction, hence number of hit will be 2.

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Answer:

Step-by-step explanation:

x² = 17² - 8²

x² = 289 - 64

x² = 225

x = √225

x = 15in

8 + 15 + 8 + 15 =

46in

Answer:

  2m⁴ +0m³ -3m² +0m +7

Step-by-step explanation:

You want the index form of 2m⁴-3m²+7.

The index form of a polynomial has terms with all indices present in decreasing order, using 0 coefficients where necessary.

The given polynomial is missing indices 3 and 1, so we add those with coefficients of 0:

  2m⁴ +0m³ -3m² +0m +7

Answer:

I can’t seem to see it properly

Step-by-step explanation:

The measurements are found using congruency.

What does congruency mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

It is given that ABCD ≅ EFGH :

According to congruency,

22. AD = EH, so AD = 335 ft.

23. GH= CD, so GH = 45ft.

24. m∠GHE = m∠CDA, so m∠GHE= 52°

25. m∠BAD= m∠FEH, so m∠BAD= 52°

26. EF= AB, so EF= 45ft

27. BC= FG, so BC= 280ft

28. m∠DCB= m∠HGF, so m∠DCB= 128°

29. m∠EFG= m∠ABC, so m∠EFG= 128°

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Answer:

x - intercept = (15, 0)

y - intercept = (0, 6)

Step-by-step explanation:

x-int. is when y = 0

y-int. is when x=0

Plug in y = 0 and x = 0 to get intercepts.

FOR X-INT.:

12x + 30(0) = 180

12x = 180

x = 15

x-int. is (15, 0)

FOR Y-INT. :

12(0) + 30y = 180

30y = 180

y = 6

y-int. is (0, 6)

Answer:

Papyrus

Step-by-step explanation:

the one that's not right is the 3rd one

Answer:

x) = 1 + 2(0.94)*

The y-intercept = (0, [?])

For x ≥ 0, the horizontal as