Find the value of x.
135⁰
(7x+2)
x = [?]°

Answer:

(2x - 3)  cm

Step-by-step explanation:

Area of window = height × length

Given:

To find the length of the window, factor the expression for Area.

Factor  [tex]4x^2+2x-12[/tex]:

Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2):  -6 and 8

Rewrite the middle term as the sum of these 2 numbers:

[tex]\implies 4x^2-6x+8x-12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x-3)+4(2x-3)[/tex]

Factor out the common term (2x - 3):

[tex]\implies (2x+4)(2x-3)[/tex]

Therefore, the length of the window is (2x - 3)  cm

(2x-3)cm

Answer:

Solution given:

height =2x+4

length=?

Area of window =(4x²+2x-12)cm²

we have

length*height =Area

length*(2x+4)=4x²+2x-12......(1)

Firstly let factorize 4x²+2x-12

taking common 2(2x²+x-6)

doing middle term factorization 2(2x²+4x-3x-6)

=2(2x(x+2)-3(x+2))

=2(x+2)(2x-3)

substituting it in equation 1

length*(2x+4)=2(x+2)(2x-3)

length*2(x+2)=2(x+2)(2x-3)

length =2x-3 cm

The length of window is (2x-3)cm

Answer:

Sum equation: x + y = 29

Difference equation: x - y = 13

Answer:

1 and a half

Step-by-step explanation:

There is one full half cup in a 3/4 cup.  A half of a half is a fourth and there is still one more fourth left so 1/2 plus 1/4 is 3/4.

The true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

Vr/w is the velocity of the football with respect to the wind

Vb is the velocity of the football

Vw is the velocity of the wind

Vr/w = 42 mph - 13 mph = 29 mph

The direction speed can be determined by a triangle

Direction of the speed, θ = (360 - 345) - (180 - 172)

                                      θ = 15 - 8 = 7⁰

Resultant speed;

[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]

Thus, the true speed and direction of the football thrown by the  quarterback is 39.139 mph and 7⁰ respectively.

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Answer:

29.140 ; 175

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

the letter j is HALFway between four and three so it is 3 1/2

Answer:

18

Step-by-step explanation:

63-45=18

Here you go, enjoy!

Answer:

2:35 pm

If an hour is 60 minutes, what we know is that 30 minutes is half. However, we must subtract 55 from 30 (In time)

To make this easier, subtract 55 by actual 30, and split 55 into 2 parts, the result of subtraction, and the other value, 30

[tex]55-30=25[/tex]

Now, subtract.

[tex]3:30 - 30 = 3:00[/tex]

[tex]3:00-25=35[/tex]

If this is the case, the lesson must have started at 2:35 pm

Answer:

473.145 in squared

Step-by-step explanation:

Trick reminder: the top of the cylinder does not need to be calculated because it is the same as the negative part of the rectangle beneath.

20.25*3.14 = 63.585

6*28.26 = 169.56

10*10 = 100

10*3.5*4 = 140

63.585 + 169.56 + 100 + 140 = 473.145

radius of small cone= 4 cm

radius of large cone= 6 cm

height of small cone= 4 cm

height of large cone= 20 cm

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]

[tex]v = 753.98 \: {cm}^{3} [/tex]

[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]

[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]

[tex]v = 67.02 \: {cm}^{3} [/tex]

[tex]v = 753.98 - 67.02[/tex]

[tex]v = 686.96 \: {cm}^{3} [/tex]

volume of smaller cone:

[tex] = 67.02 {cm}^{3} [/tex]

volume of larger cone:

[tex] = 753.98 {cm}^{3} [/tex]

frustum:

[tex] = 686.96 {cm}^{3} [/tex]

The equation 7x² - 5x + 7y² + z² = 3 in the cylindrical coordinate system is 7r² - 5r cos θ + z² = 3.

In the cylindrical coordinate system, cylindrical dimensions are ordered triples that describe the location of a point.

The equation is given below.

7x² - 5x + 7y² + z² = 3

The conversion of the cartesian coordinate to the cylindrical coordinate system.

x = r cosθ

y = r sinθ

z = z

Then put these values in the equation. Then we have

[tex]\begin{aligned} 7(r \cos \theta)^2-5(r \cos \theta) + 7(r \sin \theta)^2 + z^2 &=3\\\\7r^2 \cos ^2\theta-5r \cos \theta + 7r^2 \sin ^2\theta + z^2 &=3\\\\7r^2 (\sin ^2\theta + \cos ^2\theta ) - 5r \cos \theta + z^2 &= 3\\\\7r^2 - 5r \cos \theta + z^2 &= 3 \end{aligned}[/tex]

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Answer:

x =12

Step-by-step explanation:

combine like terms 32+ = -8 = 24 then divide 2x on each side  24/ 2x  which simipfy to 12

The factorization of the given polynomial is:

p(x) = (x - 2/3)*(x - 1) = (1/3)*(3x - 2)*(x - 1)

We have:

[tex]p(x) = 3x^2 - 5x + 2[/tex]

First, we need to find the two roots for the equation, then we use Bhaskara's formula to get:

[tex]x = \frac{5 \pm \sqrt{5^2 - 4*3*2} }{2*3} \\\\x = \frac{5 \pm 1}{6}[/tex]

So the two solutions are:

x = (5 + 1)/6 = 1

x = (5 - 1)/6 = 4/6 = 2/3

Then the polynomial can be written as:

p(x) = (x - 2/3)*(x - 1)

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Answer: (3x -2) and (x-1)

Step-by-step explanation:

Just took the test

Answer:

x = 14

Step-by-step explanation:

2(4x+1) + (5x-4) = 180

13x-2=180

x = 182/13 = 14

It is an isoceles triangle, so D = E

F = 66

D = E = 57

2.                                                                                                                   Answer: 35

Step-by-step explanation:

4x3 grid so 4!= 24 and 3!= 6                                                                        4+3=7 so 7! = 5040     now     7!/4!*3!=35.                            

Answer:

1,3,5,15

Step-by-step explanation:

Answer: if you answers my question ill answer this

Step-by-step explanation:

pleade

Answer:

Option B is correct

Step-by-step explanation:

Both expressions are the same, but the x and the 7 in the parentheses are flipped. Since they are in closed parentheses, this does not affect the outcome of the expression at all.

The area of a 2D form is the amount of space within its perimeter. The plastic that would be needed to cover the paper towel roll is 263.76 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The plastic that would be needed to cover the paper towel roll is equal to the surface area of the paper towel roll, therefore, the surface area is,

Total surface area = (2πrl) + 2(πr²)

                              = (2×π×3×11) + 2(π×3×3)

                              = 66π + 18π

                              = 263. 76 in²

Hence, The plastic that would be needed to cover the paper towel roll is 263.76 in².

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Answer:

Math is hard and a lot of people hate it because sometimes when math is important and they mess up, they mess up a lot more than just the numbers. Also, some people don't like the big numbers and the algebra involved.

Step-by-step explanation:

[tex]5^2(5^3 \cdot 5^2)\\\\=5^{2+3+2}\\\\=5^7\\\\=78125[/tex]

Answer:

5^7 or 78125

Step-by-step explanation:

5^2 (5^3 x 5^2)

This is the 5^2 is the same thing as 5x5 while 5^3 is the same as saying 5x5x5, when we evaluate these equations we get a new formula:

= 25 ( 125 x 25)

now we simplify.

= 25 (3125)

= 78125

Answer:

x = 50°

Step-by-step explanation:

The three angles of any triangle always add up to 180°. Here, we have a 40° and a right angle. Right angles are always 90°.

To find the value of x, find the sum of the two other angles.

90 + 40 = 130°

Since we know that all angles add to 180, we can conclude the following:

x + 130 = 180

x = 50°

Hope this helps

Answer:

you have to find what y equals then then subtract 9 from it so what minus 9 equals 3

Lets see

Answer:Go look Under.... You think u smart.....

Step-by-step explanation:

Write the rate as a decimal.

10%=0.10

Calculate the balance.

B= p(1+r)^t

= $60(1+0.10)^3

= $60(1.10)^3

= $60(1.331)^3

= $79.86

The balance will be $79.86

A. X is less than -1

If the radius of the cylinder is 47 feet. Then the volume of the cylinder will be 277,450.4 cubic feet.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Jerry, Skyler, and kyle were measuring the tank (cylinder) for storing the water tower on the hill.

Working together jerry and Skyler determine the circumference was approximately 295.3 feet.

Kyle measured the height to be about 40 feet.

Then the volume of the cylinder will be

Volume = πr²h

Then the value of r will be

We know the circumference. Then the radius will be

295.3 = 2πr

       r = 47 ft

Then we have

Volume = π x 47² x 40

Volume = 277,450.4 cubic ft

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Answer:

B

Step-by-step explanation:

Answer:

2x^2+x^2

=3x

ohhhhhhh

ohhhhh

ihhh

Answer:

centre = (0, 0 ) , radius = 2

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 4 ← is in this form

with centre (0, 0 ) and r = [tex]\sqrt{4}[/tex] = 2

The approximate mass of the spherical weight is 51 pounds

To answer the question, we need to know what the mass of the sphere is

The mass of the sphere m = ρV where

So, m = ρV

= ρ4πr³/3

Substituting the values of the variables into the equation, we have

m = ρ4πr³/3

= 0.284 lb/in³ × 4π(3.5 in)³/3

= 0.284 lb/in³ × 4π × 42.875 in³/3

= 48.706π lb/3

= 153.014 lb/3

= 51 lb

The approximate mass of the spherical weight is 51 pounds

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The probability that a point is chosen at random in the shaded region will be 0.25.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

The area of the shaded circle below is 78.5 square inches.

The area of the large circle is 314 square inches.

A shaded circle is inside of a larger unshaded circle.

Then the probability that a point is chosen at random in the shaded region will be

P = 78.5 / 314

P = 1 / 4

P = 0.25

Then the correct option is A.

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