Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?

Answer:

a

Step-by-step explanation:

4 to the power of 4 is just 4x4 which equals 16

Answer:

[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]

Step-by-step explanation:

1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;

2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3

Answer:

x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]

Step-by-step explanation:

solving for x

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]

do cross multiplication

[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]

[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]

root 2 and root 2 gets cancel.Then ,

x = 4

solving for y

take 60 degree as reference angle

using sin rule

sin 60 = opposite / hypotenuse

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

just now we found the value of x i.e 4 now substitute the value of x here.

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

do cross multiplication

[tex]2*4 = y * \sqrt{3}[/tex]

[tex]\frac{8}{\sqrt{3} } = y[/tex]

Answer:

x = -5

y = 2×^2

y = 2 x (-5 x -5)

= 2 x 25

y = 50

The height of the ball after 2 seconds is 100 feet.

A height function exists as a function that quantifies the intricacy of mathematical objects.  The height of an object, h(t), exists defined by the formula [tex]-16 t^{2}[/tex] + vt + h.

Given: Let, the polynomial equation be [tex]-16 t^{2}[/tex] + vt + h

h = 20 ft and v = 72 ft/s

y = [tex]-16 t^{2}[/tex] + 72t + 20

To estimate the height of the ball after 2 seconds

substitute the value of t = 2, then

y = -16 [tex]\times[/tex] 4 + 72 [tex]\times[/tex] 2 + 20

= -64 + 144 + 20

= 100 feet

The height of the ball after 2 seconds is 100 feet.

To learn more about the height of the object

https://brainly.com/question/1509315

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Answer:

b

Step-by-step explanation:

no clue just copied someone else tehehe

Answer:

Your answer for the above equation is D

Answer:

the set of possible solutions is the empty set {}.

or, whatever the equations describe is impossible.

or,... there can be many answers, depending on whatever the context of this question is.

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

Answer:

a = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 9

c = 15

Step 2: Solve for a

Answer:

total price before sale = 20

total sale price = 5-original price

=5-20

= 15

mr randall bought 4 t-shirt =15×4=60

mr randall paid 60$ for the t-shirt

Answer:

2805

Step-by-step explanation:

Each arrangement contains 14 calla lilies, 7 sunflowers, 6 orchids, 84 roses, 12 tulips, 9 geraniums, and 33 lilacs. If there are 17 classrooms in the school, how many flowers will they have to buy in total?

This is calculated as:

17 ( 14 calla lilies+ 7 sunflowers + 6 orchids + 84 roses + 12 tulips + 9 geraniums + 33 lilacs)

= 17 × ( 165 flowers)

= 2805 flower

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

Answer:

Step-by-step explanation:

95+16x-4=-1+39x

91+16x=-1+39x

91+1=39x-16x

92=23x

92/23=x

4=x

Answer:

I think the correct answer is

X<-9

Answer:

x >-9

Step-by-step explanation:

-2 ( x + 2 ) < 14

Step 1 :- Distribute -2 .

-2x -4 < 14.

Step 2 :- Move constant to the right-hand side and change their sign . And flip the inequality sign.

-2x > 14 + 4

Step 3 :- Add 14 and 4.

-2x > 18

Step 4 :- Divide both side by -2.

-2x / - 2 > 18 / -2

x = -9

Answer:

23.92°, 78.503°, and 77.577°

Step-by-step explanation:

The coordinates of the vertices of the triangle are;

X(-3, -5), Y(2, 6), Z(6, 3)

The vectors are;

z = [tex]\left \langle 2 - (-3), 6 - (-5) \right \rangle[/tex] = [tex]\left \langle 5, 11 \right \rangle[/tex]

y = [tex]\left \langle 6 - (-3), 3 - (-5) \right \rangle[/tex] = [tex]\left \langle 9, 8 \right \rangle[/tex]

x = [tex]\left \langle 2 - 6, 6 - 3 \right \rangle[/tex] = [tex]\left \langle -4, 3 \right \rangle[/tex]

[tex]cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}[/tex]

Therefore, we get;

[tex]cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409[/tex]

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

-y = [tex]\left \langle -9, -8 \right \rangle[/tex]

We get;

[tex]cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}[/tex]

Therefore;

[tex]cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309[/tex]

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

The interior angles are;

23.92°, 78.503°, and 77.577°

Answer:

3yz² - 3z² - 5y + 7

Step-by-step explanation:

Sum of two polynomials = –yz² - 3z² – 4y + 4

One of the polynomial = y - 4yz²- 3

Find the other polynomial

The other polynomial = sum of the polynomials - one of the polynomial

= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)

= –yz² - 3z² – 4y + 4 - y + 4yz² + 3

= -yz² + 4yz² - 3z² - 4y - y + 4 + 3

= 3yz² - 3z² - 5y + 7

A. 0 -2yz?

B. – 4y + 7 01 - 2yz

C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7

Answer:

C 2

Step-by-step explanation:

This is a parabolic function

Notice how we go negative and then positive

y = ax^2 +bx+c

Let x = 0

-5 = a(0) + b(0) +c

c = -5

y = ax^2 + bx -5

Let x = 3

4 = a(3)^2 +b(3) -5

Let x=-3

4 = a(3)^2 -b(3) -5

Add the two equations

4 = a(3)^2 +b(3) -5

4 = a(3)^2 -b(3) -5

----------------------------

8 = 2a (3)^2 - 10

18 = 2 a(9)

18 = 18a

a =1

Solving for b

4 = 1(3)^2 -b(3) -5

4 = 9 -3b -5

4 = 4 -3b

0 = -3b

0 =b

The equation is

y = (x)^2  -5

Letting y = -1

-1 =x^2 -5

Adding 5 to each side

4 = x^2

Taking the square root of each side

±2 = x

x= ±2

Given the choices

Answer:

8%

Step-by-step explanation:

If he earned $120 out of $1500, just do 120/1500 which will give you 0.08 which is 8 percent.

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

[tex]b=a-5[/tex]

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

Answer:

A)

Step-by-step explanation:

slope is the coefficient of the 'x' term and the y-intercept is the constant

Answer:

- 1

Step-by-step explanation:

[tex]3 + \sqrt{10 - {3}^{2} } - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = - 1[/tex]

because 3² = 9

and root {1} = 1

Answer: 1223.3in^3

the answer is straight from delta math, and rounded to the nearest tenth.

if u ever need help again, feel free to ask!

Answer:

Step-by-step explanation:

1)3/5

2)0.4

3)0.04

4)94/100 or 47/50

5)1-(0.4+0.35)=0.25->probality of taking a blue ball

0.35+0.25=0.6->probality of taking blue/red ball

6)a)0.01+0.03=0.04

b)1-0.01=0.99

7)a)0.5 b)0.3

8) a-i)0.3+0.25+0.2+0.2+0.1=1.05 probality should be <1

ii)0.05

b)0.45

ii)0.75

iii)0.2

Answer:

17.5 + 15.5

Step-by-step explanation:

17+ 15 = 32

.5 + .5 = 1

32 + 1 = 33

Answer:

15.5 and 17.5

Step-by-step explanation:

Let x and y be the two numbers

x+y = 33

x-y = 2

Add the two equations together

x+y = 33

x-y = 2

-----------------

2x = 35

Divide by 2

2x/2 = 35/2

x = 17.5

Substitute into

x+y = 33

17.5 +y = 33

y = 33-17.5

y = 15.5

Answer:

[tex]f(x)\neq g(x)[/tex]

[tex]when ~x=3[/tex]

[tex]So, the ~third~ option~is ~your~ answer[/tex]