A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.

9514 1404 393

Answer:

  13

Step-by-step explanation:

  -2(t +7) = -4t +12

  t +7 = 2t -6 . . . . . . . divide by -2

  13 = t . . . . . . . . . . . . add 6-t

Answer:

Shift down 15 units

Step-by-step explanation:

the number on the right is the one that determines where the line intersects through the y axis

Answer:

150π ft³

Step-by-step explanation:

Volume is ,

=> V = πr²h

=> V = π × (5 ft)² × (6 ft)

=> V = 25 × 6 × π ft³

=> V = 150π ft³

Answer:

? = -1/2    dark gray box = - 1

y = -1/2 x - 1       or

y = -0.5x - 1

Step-by-step explanation:

The place to start is at 0.

When x = 0 then y = - 1

That means that the second box (the dark gray one) is - 1

So far what you know about the equation is

y = ?x - 1

We need to check two more points.

x =  4

y =  - 3

- 3 = ? 4 - 1             Add 1 to both sides

-3 +1 = ?4 - 1 + 1     Combine   The -1 and + 1 Cancel

-2 = ?4                   Divide by 4

-2/4 = ?

?  = -1/2 or - 0.5

Now we need 1 more point to check the result

Let x = 2. Do we get - 2 for y

y = -1/2 * 2 - 1

y = -1 - 1

y = - 2       just as it should

Answer:

27/1

Step-by-step explanation:

3³=3·3·3=27

27=27/1

Answer: 30

Step-by-step explanation: i’m not sure but my hw says it’s right

Answer: 48

Step-by-step explanation:

V = b x h

V = 8 x 6

V = 48

Answer:

108°

Step-by-step explanation:

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

[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]

[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]

cos = -0.309

The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.

The Law of Cosines states:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

where c is the side opposite the angle C, and a and b are the other two sides of the triangle.

In this case, the sides of the triangle are:

a = 11 yards

b = 30 yards

c = 35 yards

Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]

Now, isolate cos(C) by moving the terms around:

[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]

Now, divide by 660 to find cos(C):

[tex]\cos(C) \approx -0.3091[/tex]

Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:

[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)

Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.

So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.

To know more about angle:

https://brainly.com/question/30147425

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Answer:

I'm pretty sure it would be 48 divided by 8 which would be 6

Step-by-step explanation:

Step-by-step explanation:

ANSWER He is 14 and she is 7 because 21 - 7 is 14

Answer:

4w² + 82w + 400

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:

ax² + bx + c

The moat has width of w inch. Therefore:

combined width of castle and moat = 16 in + w in + w in = 16 + 2w in

combined length of castle and moat = 25 in + w in + w in = 25 + 2w in

The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400

Answer:

A(w) = 4 w^2 + 82 w + 400

Step-by-step explanation:

Person above me is correct. :)

Answer

Here’s a graph. Hope this helps.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x²+y²-4x+2y=b

x²-4x+4+y²+2y+1=b+4+1

(x-2)²+(y+1)²=b+5

center is (2,-1)

Answer:

sec(∠F) = [tex]\frac{41}{9}[/tex]

Step-by-step explanation:

In triangle EFD,

m∠F = 90°

Adjacent side of ∠E = EF = 9 units

Opposite side of ∠E = DF = 40 units

Hypotenuse = DE = 41 units

For secant of ∠E ,

sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{41}{9}[/tex]

Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.

Answer:

1.425

Step-by-step explanation:

when 1pound is 0.95

then 1.5should be multiplied by 0.95

Answer:

25*0.5 = 12.5

dollars per hour = salary

a

dollars per hours multiplied with hours worked (h) = total earnings

b

15 x 2 = 30

15 x 3 = 45

15 x 5 = 75

(h)

Answer:

[tex]p(x)=-5(x-12)^2+405[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]

[tex]p(x)=-5x^2+120x-315[/tex]

Factor out -5 from the first two terms

[tex]p(x)=-5(x^2-24x)-315[/tex]

Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)

[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]

We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.

Complete the square

[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]

Simplify

[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]

Summary:

I hope this helps!

Answer:

45

Step-by-step explanation:

21 + 2w

21 + 2(12)

21 + 24

45

answer:

58

step-by-step explanation:

for this plug in,

2(17) + 2(12)

34 + 24 = 58

Answer:

1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s

3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot

Answer:

A. 5

Step-by-step explanation:

just use calculator tbh

Answer:

yes it is

Step-by-step explanation:

the answer would be 2

Answer:

x=-3

Step-by-step explanation:

Answer:

No, only 72 bikes can fit

Step-by-step explanation:

18 x 4.8 is 86.4

2 x .6 is 1.2

86.4 divided by 1.2 is 72

there for only 72 bikes can fit

Answer: B  y = -4/7x + 7

Step-by-step explanation:

The equation in the form y = mx + b

m = -4/7 and b = 7

Equation: y = -4/7x + 7

Answer:

3x^2-7

-7 is the constant

3 is the coefficient

x is the variable

Step-by-step explanation:

(3x^2)+(-7)