is a rectangle. and . What is ?


A.
12
B.
6
C.
15
D.
24

Answer:

Step-by-step explanation:

Extra's:

Now lets solve:

[tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex]

[tex](p^2 +1)x^2 +(2pq)x+q^2 = 0[/tex]

using b²-4ac < 0:

[tex](2pq)^2 - 4 * (p^2 +1 )(q^2 ) <0[/tex]

[tex]4p^2 q^2 - 4p^2q^2 -4q^2<0[/tex]

[tex]-4q^2 < 0[/tex]

[tex]\mathrm{No\:Solution\:for}\:p\in \mathbb{R}[/tex]

Answer:

7% sales tax

Step-by-step explanation:

Given the following question:
Sales tax = $26.60
It costs $380 before tax

In order to find the answer, we simply find a random percentage of the original cost before tax.

[tex]\frac{7\times380}{100} =2660\div100=26.6=26.60[/tex]
7% sales tax rate.

Hope this helps.

Answer:

(0, 1)

Step-by-step explanation:

So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
4x + 2y = 2 --> 1( 4x + 2y = 2)
3x - y = -1 --> 2( 6x - 2y = -2)

--

6x + 4x = 10x
2y - 2y = 0 (forced to get rid of)
2 - 2 = 0
Left with:
10x = 0 (Divide both sides by 10 to get X alone)
x = 0

-----------------------------------------------------------
(Choose any ORIGINAL equation)
4x + 2y = 2
4(0) + 2y = 2 (substitute)
Left with:
2y = 2 (divide both sides by 2 to get Y alone)

y = 1
-------------------------------------------------------------
Optional:
Chose the other equation (the oposite from above)
Substitute X and Y in 3x - y = -1

3(0) - (1) = -1
Left with: -1 = -1 (check)


Hope this helps

Answer:

x = 16°

4x-7 = 57°

3x+4 = 52°

5x-9 = 71°

Step-by-step explanation:

All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.

4x-7 + 3x+4 + 5x-9 = 180

Simplify by combining like terms.

12x-12 = 180

Then, do inverse operations to find x.

12x=192

x=16

Now that we found x, we can substitute 16 for x in each angle equation in the triangle.

4(16)-7 = 57

3(16)+4 = 52

5(16)-9 = 71

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

Learn more about Range:

https://brainly.com/question/3507706

Answer:

Total surface area of the tent that is in a shape like a triangular prism

= 255ft²

Step-by-step explanation:

Find the surface area of the triangles.

height = 5ft, base = 5ft

2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²

Now for the base.

height = 10ft, base = 5ft

base of triangular prism = 10ft × 5ft = 50ft²

And then, the last 2 rectangles.

height = 10ft, base = 9ft

2 Rectangles = 10ft × 9ft × 2 = 180ft²

Lastly, we add all these up.

25ft² + 50ft² + 180ft²

= 255ft²

Answer: 1 liter is 1,000 milliliters

Step-by-step explanation:

It’s a conversion rule. Just plug in your liter value. Times your liter by 1000 and you will have your mililiter value.

Answer:

6.5 feet

Step-by-step explanation:

V = lwh

Plug-in the numbers given and solve for h

312 = 8(6)h

312 = 48h

312/48 48h/48

h = 6.5 feet

Answer:

16.13.6km:23.8km

Step-by-step explanation:

Answer:

A) (0,6)

Step-by-step explanation:

the y-intercept, if the equation is written in slope-intercept form (y=mx+b) is represented by the 'b' and will be written as an ordered pair with an x-value of zero

She can make 10 biscuits out of 30g of sugar.

Answer:

Step-by-step explanation:

4+[2x3 2nd power] +4 divided by 11

translation

4 + (2×3²) + 4 : 11 =

4 + 18 + 4 : 11 =

4 + 18 + 0.36 =

22.36

Answer:}}

ok so it has to be between 30 or 90 {9

Step-by-step explanation:

Answer:

A = 5 units²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = AC = 5 and h = AB = 2 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 2 = 2.5 × 2 = 5 units²

Answer:

104.52 sq m

Step-by-step explanation:

The area of the top triangle is 1/2(12 * 8) = 48 sq m

The bottom semicircle is 1/2(pi r-squared) or 1/2(3.14 * 6^2) = 56.52 sq m

Add together and they are 104.52 sq m

Answer:

93

Step-by-step explanation:

subtract -36 from 57 and you get 93.

Answer:

93

Step-by-step explanation:

57+36=93 that's your answer

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 1 and (a, b ) = (- 7, 0 ) , then

y - 0 = 1 (x - (- 7) ) , that is

y = 1 (x + 7) ← distribute by 1

y = x + 7 ← in slope- intercept form

Answer:

-10.2 and -7.2

6 and 9

Step-by-step explanation:

Let the numbers be x and y.

x² + y² = 117

y = 2x - 3

x² + (2x - 3)² = 117

x² + 4x² - 12x + 9 = 117

5x² - 12x - 108 = 0

(5x + 18)(x - 6) = 0

5x + 18 = 0  or x - 6 = 0

x = -18/5 or x = 6

x = -3.6 or x = 6

y = 2x - 3

y = 2(-3.6) - 3

y = -10.2

y = 2x - 3

y = 2(6) - 3

y = 9

Answer:

-3.6 and -10.2

6 and 9

Answer: 53 times per second.

Step-by-step explanation:

3180(flaps per min) Divided by 60(seconds in a min) = 53

Answer:

[tex] \frac{1}{16} [/tex]

Step-by-step explanation:

[tex] \frac{1}{8} \times \frac{1}{2} \\ = \frac{1}{16} [/tex]

Therefore, the fractional part is

[tex] \frac{1}{16} [/tex]

#1

Apply angle sum property

[tex]\\ \rm\Rrightarrow x+25+52=180[/tex]

[tex]\\ \rm\Rrightarrow x+77=180[/tex]

[tex]\\ \rm\Rrightarrow x=103[/tex]

#2

Sum of two Interiors=exterior

#3

Yes <1 ,<2,<3 have sum 180°.

#4

<2 and <1.

As sum of two Interiors=exterior

Answer:

70

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

m∠U = 70°

Step-by-step explanation:

find the missing inside angle, V:

180° - 120°

60°

so now the total interior angle of triangle is 180°

m∠U + 60° + 50° = 180°

m∠U = 180° - 110°

m∠U = 70°

Answer:

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A rotation means turning around a center.

A reflection is a transformation representing a flip of a figure.

Answer:

See below!

Step-by-step explanation:

Translation: "Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Rotation: A circular movement.

Rotation has a central point that stays fixed and everything else moves around that point in a circle.

A "Full Rotation" is 360°

Reflection: Coordinate plane: A point reflected across the x or y axis, or x and y axis.

Coordinate plane, Shapes: A shape that is reflected across the x or y axis, or x and y axis. (Staying at the same coordinates).

Slopes: A slope that is reflected across the x or y, or x and y axis.

Step-by-step explanation:

Each will get 9 but 2 will remain

5.3333...

Answer:

Step-by-step explanation:

Side ratios of 30°-60°-90° triangle:

Given:

Find b:

Correct choice is A

So

We know the ratio

Now

x=2

So

And

Option A

Answer:

4.75

Step-by-step explanation:

Each pepper or product of pepper costs $4.75

So the unit rate is 4.75/pepper

The unit rate is considered as the slope of the line, or also known as the constant or proportionality. As the Number of peppers increase, the price increases proportionally.

The constant of proportionality is 4.75

-Chetan K

Answer:

44

Step-by-step explanation:

angle a is congruent with d so they have the same angle