Gianna has 10 yards of fabric. She needs 2/5 of what she has. How much does she need?

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

Step-by-step explanation:

[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]

The given expression can be written in the form of b√2 as 12√2 where b = 12.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].

It can be rewritten as,

[tex]14/\sqrt{2}+\sqrt{50}[/tex]

Multiply √2 to both numerator and denominator of 14/√2 as,

14√2/2 + √50

⇒ 7√2 + √(5 × 5 × 2)

⇒ 7√2 + 5√2 = 12√2

On comparing 12√2 with b√2, it is obtained as,

b = 12

Hence, the given expression can be written as 12√2.

To know more about algebraic expression click on,

brainly.com/question/953809

#SPJ2

9514 1404 393

Answer:

  4.7124 mi

Step-by-step explanation:

  (3.3 mi/h) · (1.428 h) = 4.7124 mi

Each team member ran 4.7124 miles yesterday.

Answer:

2 hours

Step-by-step explanation:

Subtract the 4 already then divide 16 by 8 and you get 2 :)

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

Answer:

y = [tex]\frac{3}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = [tex]\frac{5-2}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line

Answer:

1. standard form

2. vertex form

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Answer:

in sequence, -7, 3, 43, -27

Step-by-step explanation:

Answer:

20.8mm

Step-by-step explanation:

We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.

This means all sides are 2.6mm.

So if we run the calculation:

2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)

We have our final answer!

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

Answer:

1844

Step-by-step explanation:

For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, z is the critical value and n is the sample size.

Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.

The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.

The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.

Put the value in the above formula as,

[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]

Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

Learn more about the margin of error here;

https://brainly.com/question/10218601

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

Answer:

the total would be 1.50

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

150/250 means she would have sold 60% of the corn, and 60% is 60/100 so no further work is required because the corn at start is already 100.

Answer:

1/3.75

Step-by-step explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

= 1/3.75

Answer:

19 five dollar bills

30 ten dollar bills

Step-by-step explanation:

x=number of $5 bills

y=number of $10 bills

x+y=49

x=49-y

5x+10y=395

substitute for x

5(49-y)+10y=395

245-5y+10y=395

245+5y-245=395-245

5y=150

5y/5=150/5

y=30

x=49-30=19

Answer:

I dont know

Step-by-step explanation:

sorrryy

Answer:

nose pero descarga symbolab en play stores ahí te dará la respuesta

Answer:

m = 1

Step-by-step explanation:

Answer:

$1344.31

Step-by-step explanation:

1111*0.11*11=1344.31

Answer:

[tex] \dfrac{-7600}{3} [/tex]

Step-by-step explanation:

The plane is descending, so the change in height is a negative change.

rate of descent = (change in height)/time

rate of descent = (new height - old height)/time

rate of descent = (7400 ft - 15000 ft)/(3 min)

rate of descent = (-7600 ft)/(3 min)

Answer: [tex] \dfrac{-7600}{3} [/tex]

Answer:

y = 2.5x + 3

Step-by-step explanation:

y = mx + b

y = 2.5x + 3

As you can see, each unit is not 1, its 0.5. We need to go up 5 times, and so 0.5 times 5 gives us 2.5, and thats how i got my slope.

I got 3 as my y-intercept because it's were the line intersects the y axis.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

y=5x+3

Step-by-step explanation:

Slope: y2-y1 over x2-x1 so it will be 3-(-2) over 0-(-1) and the answer will be 5.

Y intercept: In order to find the y intercept it is necessary to replace the y an x coordinate in the equation: y= mx+b and replace 3=5(0)+b... simplifying would be 3=b

so the final answer would be y=5x+3

Answer:

Mean: 29.6

MAD: 10

Step-by-step explanation:

Answer:

Mean = 29.6

MAD = 10

Step-by-step explanation:

For the mean, just add all of the points together and divide it by 10 since there are 10 games.

For the MAD, use the mean and subtract is from each of the games. As an example, just do 23-29.6 and ignore if it is a negative sign. Do it for all and then add up the leftovers. Then divide it by the 10 games.

(6.6+1.4+1.6+8.4+10.6+8.4+15.4+4.6+26.6+16.4)/10

Check out a khan academy video about it if you're having trouble

Answer:

bro its c i promise

Step-by-step explanation:

trust me

Answer:

x = 55

Step-by-step explanation:

Here, we want to get the value of x

From the diagram , we can see that we have a right- triangle

and thus,

x + 35 = 90

x = 90-35

x = 55

Answer:

Step-by-step explanation:

Divide both sides by rt

[tex]P=\frac{I}{rt}[/tex]

Answer:

[tex]p=\frac{i}{rt}[/tex]

Step-by-step explanation: