Find the value of the unknown angle x.


The diagram is not drawn to scale.

Please help. Thank you.

Answer:

no bc the two figures need to be exactly the same size

Step-by-step explanation:

Answer: The volume is equal to 1922.65.

Step-by-step explanation:

Diameter is 12 ft, height is 17 ft.

V = πr2h

V = πr2h = π·62·17≈ 1922.65

The volume of the tank is approximately 1814 cubic feet.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, h is the height, and π is a constant equal to approximately 3.14.

We are given the diameter of the tank, which is 12 feet.

The radius is half the diameter, so:

r = 12/2 = 6 feet

We are also given the height of the tank, which is 17 feet.

Substituting these values into the formula, we get:

V = πr²h

V = 3.14 × 6² × 17

V ≈ 1814

Therefore,

The volume of the tank is approximately 1814 cubic feet.

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Answer:

The new probability of drawing a red marble is ()=.  

Step-by-step explanation:

The sample space change. Each event within the sample space change. The probability of each event changes.

Answer:

For the small boxes on the side, drag the one that you think is correct to the grey spaces. Your supposed to enter the fraction in the simpliest form

Step-by-step explanation:

x² + 12x + 27 ≥ 0 ?

french reasoning

it is necessary to factorize therefore to seek the roots of the polynomial

Δ = 12² - 4*1*27 = 144 - 108 = 36 = 6²

x' = (-12 + 6)/2 = -3

x'' = (-12 - 6)/2 = -9

so x² + 12x + 27 = (x + 3) (x + 9)

x              - inf              -9              -3            + inf

x+3                      -               -        0       +

x+9                     -        0      +                +

( ) ( )                    +       0       -       0       +

x² + 12x + 27 ≥ 0  on ] -inf ; - 9 ] U [- 3 ; + inf [

on a graph

XXXXXXXXXX - 9.............-3 XXXXXXXXX

Answer:

Step-by-step explanation:

-20d + 12

4(d + 9) - 8(-3d - 3)

4d + 36 - 24d - 24

4d - 24d + 36 - 24

-20d + 12

Answer:

1 inch:2 feet

Step-by-step explanation:

Answer:

a. (x² + y²)² = (x² - y²)² + (2xy)²

b. The conjecture works in all cases.

c. Sides of 119, 120, and 169

Step-by-step explanation:

a. Equation that models this conjecture

x² + y² = sum of squares

x² - y² = difference of square

  2xy = twice the product of the integers

If these are the sides of a right triangle then

(x² + y²)² = (x² - y²)² + (2xy)²

b. Test the conjecture

(i) Try x = 2, y = 1

(2² + 1²)² = (2² - 1²)² + (2×2×1)²

       5² = 3² + 4²

      25 = 9 + 16

(ii) Try x = 3, y = 1

(3² + 1²)² = (3² - 1²)² + (2×3×1)²

      10² = 8² + 6²

    100 = 64 + 36

(iii) Try x = 3, y = 2

(3² + 2²)² = (3² - 2²)² + (2×3×2)²

       13² = 5² + 12²

     169 = 25 + 144

The conjecture appears to work in all cases.

c. A possible triangle

We must have one side greater than 100. That means,  

x² > 100 or x >1 0.

                                      Let x = 12

                               One side = 12² + y²

                  The second side = 12² - y²

The third side must have 2xy > 100

                                        24y > 100

                                            y > 4.2

                                      Try y = 5

                              (12² + 5²)² = (12² - 5²)² + (2 × 12 × 5)²

                                       169² = 119² + 120²

So, one right triangle could have sides of 119, 120, and 169.

Furthermore, these sides have no common factors.

Check:

 169² = 119² + 120²

28561 = 14161 + 14400

28561 = 28561

Answer:

Your answer is 140

Step-by-step explanation:

Rectangle:

16 x 8 = 128

Triangle:

1/2(6 x 4)

1/2(24)

24 / 2 = 12

Add areas:

128 + 12 = 140

Answer:

blank one: greater than blank two: less than

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of nickels to dimes to quarters is given as ...

  N : D : Q = 6 : 1 : 4

The total number of ratio units is 6 +1 +4 = 11. The total number of coins is given as 99, so each "ratio unit" must represent 99/11 = 9 coins. That is, the actual coin count ratios are ...

  N : D : Q = 54 : 9 : 36

Zachary has 54 nickels, 9 dimes, and 36 quarters.

__

Check

The value of the coins is ...

  $0.05 × 54 +$0.10 × 9 +$0.25 ×36 = $2.70 +0.90 + 9.00 = $12.60

Answer:

The number next to 1 is 2.5.

It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)

Step-by-step explanation:

The value next to 1 in the table above = number of dimes we have in 1 quarter.

Let the value next to 1 be "x".

That is:

1 quarter = x dimes

If 4 quarters = 10 dimes, then,

Cross multiply to find, how many dimes, x is equal to.

Thus:

1*10 = 4*x (cross multiplication)

10/4 = 4x/4 (dividing both sides by 4)

2.5 = x

The number next to 1 is 2.5.

It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)

Answer:

x=-3 and 2x-3y=-12

Step-by-step explanation:

The solution to lines 1 and 2 is (-3, 2)

The only lines that intersect that point are x=-3 and 2x-3y=-12

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation:

Answer:

Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5

Step-by-step explanation:

Answer:

D)     Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

Step-by-step explanation:

trust me on this one ;)

Answer:

91 more points are needed

Step-by-step explanation:

Answer:91

Step-by-step explanation:

Answer:

x=256

Step-by-step explanation:

Answer:

x=256

Step-by-step explanation:

Answer:

t=V‒x/a

Step-by-step explanation:

V=x+at (add ‒x in both side)

V‒x=x+at‒x

V‒x=at

V‒x/a=at/a

V‒x/a=t

so the formula is t=V‒x/a

Answer:

Cost per bottle. Therefore cost/bottle. Set 1: 3.79/6=.63 Side note, don’t forget to round each time to the nearest cent. Set 2: 4.50/9=.50 Set 3: 6.89/12=.57 The second package (9-pack for $4.50) is the costs least per bottle.

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

There are 102 triangles, a triangle has 3 sides, each side is 1 cm. 102 x 3=306

Answer:

The choice C.

Step-by-step explanation:

[tex] {( \frac{ {2}^{ - 10} }{ {4}^{2} } )}^{7} = \frac{ {(2}^{ - 10}) ^{7} }{ {( {4}^{2}) }^{7} } = \frac{ {2}^{ - 10 \times 7} }{ {4}^{2 \times 7} } = \frac{ {2}^{ - 70} }{ {4}^{14} } \\ \\ = \frac{1}{ {2}^{70} \times {4}^{14} } [/tex]

A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that A soccer coach plans to order more shirts for her team. Each shirt costs $9.85 and She has $77 left in her uniform budget. WE need to find the possible number of shirts she can buy.

Therefore,

77/9.85 = 7.88888

We an’t have part of a shirt so, she can buy 7 shirts.

Hence,  A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

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Answer:

Ruth needs 5quarts of oil, she has 2quarts in one bottle and 1 quart in another.

therefore:

2+1=3

5-3=2

Ruth needs 2 more quarts.

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

[tex]\tt volume=\boxed{6}\: units^3[/tex]

Step-by-step explanation:

[tex]\tt volume=(\frac{9}{2})(\frac{4}{3} )[/tex]

[tex]\tt volume=\frac{36}{6}[/tex]

[tex]\tt volume=6[/tex]

~

Answer:

By Sunday evening the temperature would be 92 degrees

Step-by-step explanation:

Find 130% of 40

40 × 1.3 = 52

Add the product to your original temperature (40)

40 + 52 = 92

Answer: y > x + 4

Step-by-step explanation:

First lets find a linear equation for the dividing line, in the form:

y = mx + b

We know that b is 4, since this is the y-intercept

lets use any point on the graph, I'll use (-4, 0):

y = mx + 4

0 = m(-4) + 4

-4 = -4m

m = 1

So the slope is 1. Our completed formula for the line is:

y = x + 4

Since the left side of this graph is shaded, we know it will either be > or ≥. Since the line is also dotted we know it is denoted by a simple ">" sign.

So our completed inequality equation is: y > x + 4

Hope this helped!

Answer:

[tex]\sf y > x+4[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-4, 0) and (0, 4)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-0}{0-(-4)}=1[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=1(x-(-4))[/tex]

[tex]\implies \sf y=x+4[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is dashed, and the shading is above the line,

[tex]\implies \sf y > x+4[/tex]