You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperback books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?

Answer:

h=17.3 A=173

Step-by-step explanation:

Calculator

Answer:

height = 17.3 mm

area = 173 mm²

Step-by-step explanation:

all three sides are of the same length (20 mm).

so, the height actually splits the baseline in half

(2 × 10 mm) while hitting it at a 90 degree angle.

so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.

c² = a² + b²

20² = 10² + height²

400 = 100 + height²

300 = height²

height = 17.3 mm

the area of the main triangle is baseline (20) times height divided by 2.

so,

At = 20×17.3/2 = 10×17.3 = 173 mm²

Answer: The number would be 18

Step-by-step explanation:

18/2=9 9-3=6 6*3=18

The equation be (x/2) - 3 = x/3 then, the number of x = 18.

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Let x be the number

From the given information, we get

(x/2) - 3 = x/3

The set all the fractions on one side and constants on another side

(x/2) - (x/3) = 3

Multiply by LCM

3x - 18 = 2x

Add 18 to both sides

3x - 18 + 18 = 2x + 18

simplify

3x = 2x + 18

Subtract 2x from both sides

3x - 2x = 2x + 18 - 2x

x =18.

Therefore, the number is x = 18.

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B is an upside down image of A and is 2 units below A.

The image of A is mirrored across the y axis at y = 2.

Answer: A was mirrored across y= 2 to form B.

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

Step-by-step explanation:

A n L =null

A U L= a,b,c,e,k,j

Answer:

composite number

prime factors={2,3}

factors of 18={1,2,3,6,9,18}

❏ Hello there! ❏

This number is composite.

Prime numbers have only two factors.

An example of a prime number is 5 (it's divisible by itself and 1)

Every prime number is divisible by itself and 1 (only these two numbers)

Composite numbers, however, have 3 or more factors.

18 has more than 3 factors, therefore, it's composite.

Product of prime factors:

2*3*3

2 is prime, because it's divisible by itself and 1

3 is prime as well

Hope it helps you!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature -[/tex]

Answer:

a) 10

b) 2.5

Step-by-step explanation:

2^n = 1024

2^n = 2^10

n = 10

4^(2n-3) = 16

4^(2n-3) = 4^2

2n-3 = 2

2n = 5

n = 2.5

Solution:-1:-

[tex]\\ \sf\longmapsto 2^n=1024[/tex]

[tex]\\ \sf\longmapsto 2^n=2^10[/tex]

[tex]\\ \sf\longmapsto n=10[/tex]

Solution:-2:-

[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]

[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]

[tex]\\ \sf\longmapsto 2n-3=2[/tex]

[tex]\\ \sf\longmapsto 2n=2+3[/tex]

[tex]\\ \sf\longmapsto 2n=5[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]

[tex]\\ \sf\longmapsto n=2.5[/tex]

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...

  XT = TS

  3b -1 = b +5

  2b = 6

  b = 3

  TS = b +5 = 8

The chord length is 2·TS = 2·8 = 16 units.

Answer:

C,XS=16

Step-by-step explanation:

3b-1=b+5

3b-b=5+1

2b=6

b=6/2=3

TS=b+5=3+5=8

XS=2 TS=2×8=16

Step-by-step explanation:

I=PRT/100

p=I/RT×100

p=2240/10×2×100

p=11200

Answer:

Step-by-step explanation:

use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0

[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]

y = 17.07106~ or 2.928932~

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

Answer:

X ≥ 3

Step-by-step explanation:

Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:

X ≥ 3

Answered by Gauthmath

The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.

250 cones were used while selling yogurt and made $565.

There are two types of cones:

Single-scoop cone that cost $2.

Double-scoop cone that cost $2.50.

We need to know how many cones of each type were used while selling yogurt that made $565.

We will have to make two linear equations using the given statements and apply the substitution method to get our answer.

Consider,

x = single-scoop cone.

y = double-scoop cone.

Now, we can make two linear equations:

x + y = 250............(A)

2x + 2.50y = 565...............(B)

Apply substitution method.

From (A) we get,

x = 250 - y...............(C)

And putting x = 250 - y in (B) we get,

2 ( 250 - y ) + 2.50y = 565

500 - 2y + 2.50y = 565

0.50y = 565 - 500

0.50y = 65

y = 65 / 0.50
y = 6500 / 50

y = 130

Putting y = 50 in (C) we get,

x = 250 - 130

x = 120

We have,

x = 120 and y = 130

We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.

Learn more about the system of the linear equations here:

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Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

Answer:

0

Step-by-step explanation:

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

Answer:

565656÷8=p

So the answer is 637:D

Answer:

3.1

Step-by-step explanation:

5 x5 =25

25+3=28

the other children are 4 years old

Answer:

X = (P^2 - 9) ^ 1/2

Step-by-step explanation:

P^2 = (4 - 1)^2+ (0 -X)^1/2

Answer:

75 degrees maybe.......

Answer:

75 degrees

Step-by-step explanation:

the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.

and because it is measured against a line, where we have a total of 180 degrees for angles, we have

exterior angle = 180 - interval angle = 180-105 = 75

cos(a) = x/r

sin(a) = y/r

tan(a) =  y/x

In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:

The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.

Now we can remember the trigonometric relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse)

tan(a) = (opposite cathetus)/(adjacent cathetus)

Using what we wrote above, we can rewrite these as:

cos(a) = (adjacent cathetus)/(hypotenuse) = x/r

sin(a) = (opposite cathetus)/(hypotenuse) = y/r

tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x

if you want to learn more about this topic, you can read:

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Answer:

u is 17√2 and v is 17

Step-by-step explanation:

To find u:

[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]

feed in the terms:

[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]

To find v:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

feed in the terms:

[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]

Step-by-step explanation:

This is true statement.

have a great day

Answer:

x = 4

Step-by-step explanation:

1/5x + 4/5 = 8/5

Multiply each side by 5 to get rid of the fractions

5(1/5x + 4/5) = 8/5 *5

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

the formula for slope is: y = mx + b

where m = slope & b = y intercept

so in y = -2x + 1,

m (slope) = -2     &      b (y-int) = (0,1)