Geometry

What is the value of x?



Enter your answer in the box.

x = °

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

[tex]SA=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height of the cuboid.

Putting [tex]SA=204.25,  l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get

[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]

[tex]204.25=2(10x+6.5x+65)[/tex]

[tex]204.25=2(16.5x+65)[/tex]

Using distributive property, we get

[tex]204.25=2(16.5x)+2(65)[/tex]

[tex]204.25=33x+130[/tex]

[tex]204.25-130=33x[/tex]

[tex]74.25=33x[/tex]

Divide both sides by 33.

[tex]\dfrac{74.25}{33}=x[/tex]

[tex]2.25=x[/tex]

Therefore, the correct option is B.

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

Answer:

105

Step-by-step explanation:

$40 - $19.95 = $20.05

$20.05 divided by 0.19 (19¢) = 105.526316

Answer:

105 miles

Step-by-step explanation:

40-19.95= 20.05

20.05/.19= 105.5263157895

round down to 105 miles

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

Answer:

the side length of the hot tub = 4.8ft

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Square A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

i hope this helps you

The length of the one side of the hot tub is 4.8 ft.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.

If the each side of the pool is 24 ft.

The length of one side of hot tub = 24/5 = 4.8 ft.

Thus, the length of the one side of the hot tub is 4.8 ft.

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Answer:

It is TRUE

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

PLS MARK BRAINLIEST

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

Answer: 22

Step-by-step explanation:

simple

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

Answer:

1/3 is the probability for the blue marbal

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

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

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

when n = 2; m = 2 [tex]\frac{4}{5}[/tex]

when m=5;   n = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

2n - 5m + 10 = 0

             -10     -10

2n - 5m = -10

2(2) - 5m = -10

 4 - 5m = -10

 -4            -4

      -5m = -14

        -5       -5

           m = 2 [tex]\frac{4}{5}[/tex]

2n - 5(5) = -10

2n - 25 = -10

    +25     +25

2n = 15

2        2

   n = [tex]7\frac{1}{2}[/tex]

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

Hope this helps! Let me know if you have any doubts.

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

Answer:

x = 4

Step-by-step explanation:

Answer:yes

Step-by-step explanation:99

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

Plug in the values and find the volume in terms of π

Volume of the cone = ⅓*π*5²*36

Volume of the cone = 300π units³

Let the numbers be n, n+2, n+4

Sum equals too= 13+2(n+4), which is 2n+21

a) Equation--> n+n+2+n+4= 2n+21

b) Solution--> 3n+6= 2n+21

                      => n= 15

c) Second number--> 17 (15+2)

   Third number--> 19 (15+4)

d) 15+15+2+15+4=30+21

   => 51= 51

So, the equation is true.

And pls mark me brainliesttt :)))

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Answer:

3 :2.

Step-by-step explanation:

1.5 : 1

Multiply both numbers by 2:

i this gives 3:2

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

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Answer:

c) None of these answers

Step-by-step explanation:

8 students own a cat

In this, we count the students who own both a dog and a cat, and the students who own only a cat.

5 students own both a cat and a dog.

So of the 8 who own a cat, 5 own both a cat and a dog, and 8 - 5 = 3 own only a cat.

So the correct answer is given by option c, as 3 is not an option.

Answer:

165 square ft

Step-by-step explanation:

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%