6 2/5 ÷ 3 1/5 − (2 3/10 + 1 3/8)

I will award 25 points

Answer:

Step-by-step explanation:

x²-2x=-26

add both sides (-2/2)² or 1

x²-2x+1=-26+1

x²-2x+1=-25

(x-1)²=25×-1

(x-1)²=5²×i²=(5i)²

x-1=±5i

x=1±5i

Answer:

A.

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = [tex]\dfrac{1}{5}[/tex]

Time to run each lap = [tex]\dfrac{1}{15} \ of \ an \ hour[/tex]

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

[tex]Speed = \dfrac{distance}{time}[/tex]

[tex]Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}[/tex]

[tex]Speed ={\dfrac{1}{5}\times \dfrac{15}{1}[/tex]

Speed =  3miles / hour

As such, Elena can run 3 miles each hour.

Answer:

D obtuse *********************

Answer:

English and French:40 and English:10

Step-by-step explanation:

English and French:4÷5×50

=40

English:1÷10×50

=10

Answer:

(-0.607 ; 1.757)

Step-by-step explanation:

Student: __ 1 ___ 2 ___ 3 ___ 4

Fall _____2.6__ 3.0__ 1.5 __1.4

Spring___ 1.7__ 2.2 __1.4 __0.90

Using calculator :

Fall:

Xbar1 = 2.125

Sample size, n1 = 4

Standard deviation, s1 = 0.8

Spring :

Xbar2 = 1.55

Sample size, n2 = 4

Standard deviation, s2 = 0.54

Confidence interval :

(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2

Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]

df = n - 1

(xbar1 - xbar2) = 2.125 -1.55 = 0.575

Hence,

Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)

Sp= √2.7948 ÷ 6

Sp = √0.4658

Sp= 0.682

Tcritical at 95%, df = 4 = 2.45

Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182

Confidence Interval:

Lower boundary = 0.575 -1.182 = -0.607

Upper boundary = 0.575 + 1.182 = 1.757

(-0.607 ; 1.757)

Answer:

16

Step-by-step explanation:

here's your solution

=> The given traingle is Right angle traingle

so, hypotenuse^2 = Base^2 + Height^2

=> x^2+12^2 = 20^2

=> x^2 + 144 = 400

=> x^2 = 400 - 144

=> x^2 = 256

=> x = √256

=> x = 16

hope it helps

Step-by-step explanation:

ratio 6:8

376+336=712

6+8=14

712/14=50.86

haircut= 50.86*6=305.16

colour= 50.86*8=406.88

i hope this helps

Answer:

B -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

hope it helps you.good day

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Answer:

146 whistles

Step-by-step explanation:

First, convert 122 feet to inches, by multiplying it by 12

122(12)

= 1464

Divide this by 10 to find how many whistles he can make

1464/10

= 146.4

Since we can only have a whole number of whistles, we have to round down to 146.

So, he can make 146 whistles

Answer:

-1.52

Step-by-step explanation:

-2+0.48=-1.52

Answer:

A

Step-by-step explanation:

The theorem we use for this is

[tex]a(a + b) = c(c + d)[/tex]

Solve for d.

[tex]a(a + b) = c { }^{2} + cd[/tex]

[tex]a(a + b) - {c}^{2} [/tex]

[tex] \frac{a(a + b) - {c}^{2} }{c} [/tex]

A is the answer

Answer:

sin 47° = 0.731

Step-by-step explanation:

the complementary angle to 43° is 47°

sin 47° = 0.731

Answer:

0.731

Step-by-step explanation:

Because of the identity

cos x = sin(90-x).

Answer:

25%

Step-by-step explanation:

If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.

5600-4200=1400

Then you can set up the number of people who didnt vote as equal to a percentage over 100

1400/5600=x/100

140000/5600=x

25=x

Answer:

a) The golf ball reaches a height of 64 feet.

b) The golf ball will take 2 seconds to reach maximum height.

c) The golf ball will take 4 seconds to land after being hit.

d) The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Step-by-step explanation:

a) The parabolic motion of the golf ball is described by a second order polynomial, that is, the equation of the parabola. To determine the maximum height of the golf ball, we need to transform the equation of the parabola given into vertex form:

[tex]h = -16\cdot (t^{2}-4\cdot t)[/tex]

[tex]h - 64 = -16\cdot (t^{2}-4\cdot t + 4)[/tex]

[tex]h - 64 = -16\cdot (t-2)^{2}[/tex]

From this form we can obtain relevant information of the maximum height of the golf ball, contained in the left side of the equation. On this approach, we conclude that the golf ball reaches a height of 64 feet.

b) The time taken by the golf ball is contained in the right side of the formula. That is, the golf ball will take 2 seconds to reach maximum height.

c) In this case, we need to factor the polynomial to find right times, that is:

[tex]h = 64\cdot t - 16\cdot t^{2}[/tex]

[tex]h = 16\cdot t \cdot (4 - t)[/tex]

The time taken by the golf ball to land is contained in the second binomial. In a nutshell, the golf ball will take 4 seconds to land after being hit.

d) If we know that [tex]h = 48[/tex], the time taken by the golf ball to be 48 feet above the ground is:

[tex]64\cdot t - 16\cdot t^{2} = 48[/tex]

[tex]16\cdot t^{2}-64\cdot t +48 = 0[/tex]

By Quadratic Formula, we have the following roots:

[tex]t_{1} = 3[/tex], [tex]t_{1} = 1[/tex]

The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Answer:

11.4 units is your answer :)

Corresponding angles on parallel lines cut by a transversal are equal

5x + 30 = 3x + 60

Subtract 3x from both sides

2x + 30 = 60

Subtract 30 from both sides

2x = 30

Divide both sides by 2

X = 15

Answer:

5.5

Step-by-step explanation:

Answer:

$270

Step-by-step explanation:

35%= 0.35

200*0.35 =70

He saves $70 more.

Altogether saves $270

Answer:

x= 142°

I hope it's helps you

Answer:

x = 142°

(x and 142° are vertically opposite angles.)

Answer:

Only 2

Step-by-step explanation:

1 is a binomial.

2 is a trinomial, and the first and last numbers are perfect squares (1 and 16)

Answer:

119

Step-by-step explanation:

14x17 = 238)/2

Step-by-step explanation:

when you look at the graphic and the right-angled triangle :

sine is the length of the vertical leg (opposite of the associated angle) divided by the length of the Hypotenuse (the baseline opposite of the 90° angle), because the sine function values are defined for the norm circle with radius 1. for any larger circle (or triangle inscribed in such a larger circle), we get the basic trigonometric function values by measuring the sides and norming to a radius of 1 (dividing them by the length of the actual radius).

cosine is the horizontal leg (at the "bottom").

the same principle applies. the cosine value is the length of that leg divided by the length of the Hypotenuse.

we know from the given ratio for sine, that the length of the Hypotenuse is 6.

so, we know 2 sides of the right-angled triangle :

the vertical leg is 5, the Hypotenuse is 6.

now, we use Pythagoras to get the horizontal leg :

6² = 5² + leg²

36 = 25 + leg²

11 = leg²

leg = sqrt(11)

and so cosine of the angle is

sqrt(11)/6

The expression that represents the total cost of the donuts is: c + d

To determine the expression that represents the total cost, the following parameters are needed

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer:

1. 48

2. 45

3. 32

4. B

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

Answer:

x < 19

Step-by-step explanation:

Given that,

An inequality 2x - 5 < 33.

LHS of the inequality is 2x - 5

RHS of the inequality is 33

LHS < RHS

i.e.

2x - 5 < 33

Add 5 to both sides of the inequality

2x - 5 +5 < 33+5

2x < 38

Divide both sides by 2.

x < 19

So, the value of x is less than 19.

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

Answer:

Answer is D line HJ

Step-by-step explanation:

100% correct

Answer:

d

Step-by-step explanation:

trust me