Lateral area of a cone is 603 pi cm^2 find the slant height to the nearest tenth

Answer:

Step-by-step explanation:Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

1.5 lb

Step-by-step explanation:

Steps to determining the answer

Lb that would be needed for 1 square foot = 0.6 lb / 100 = 0.006

Lb needed for 250 square foot = 0.006 x 250 = 1.5 lb

Answer:

Dan made more money last month

Step-by-step explanation:

15/100   10/100 Make the Percent's into decimal's and Dan's is still higher

Answer:

QR = 4.6 ft

Step-by-step explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{8.6}{QR}[/tex]

QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]

QR = 4.573

QR ≈ 4.6 ft

Answer:

51

Step-by-step explanation:

You just subtract 9 from 60, hope this helps

Answer:

Step-by-step explanation:

Let the third side be x

Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:

Combined together we have:

The third side must be between 10cm and 14 cm

Answer:

1/8

Step-by-step explanation:

1/2 x 1/2 x 1/2

Question:

52% of the total number of students in a school are boys. If there are 260 boys,​ how many students are there in total? how many of them are girls?

Answer and Step-by-step explanation:

The total amount of students is 500.

Yo get this by dividing 260 by 52%, or 0.52

Now, we know 260 is the amount of boys, so to find the amount of girls, we subtract 260 from 500.

500 - 260 = 240.

There are 240 students that are girls.

This also means that 48% of the total number of students in a school are girls.

#teamtrees #PAW (Plant And Water)

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

[tex]P=2(l+w)[/tex]

Perimeter of a rectangular paper is 22 inches.

[tex]2(l+w)=22[/tex]

[tex]l+w=\dfrac{22}{2}[/tex]

[tex]l=11-w[/tex]                      ...(i)

Area of a rectangle is:

[tex]A=lw[/tex]

Area of the rectangular paper is 28 square inches.

[tex]28=lw[/tex]

Using (i), we get

[tex]28=(11-w)w[/tex]

[tex]28=11w-w^2[/tex]

[tex]w^2-11w+28=0[/tex]

Splitting the middle term, we get

[tex]w^2-7w-4w+28=0[/tex]

[tex]w(w-7)-4(w-7)=0[/tex]

[tex](w-7)(w-4)=0[/tex]

Using zero product property, we get

[tex](w-7)=0\text{ and }(w-4)=0[/tex]

[tex]w=7\text{ and }w=4[/tex]

If [tex]w=7[/tex], then by using (i)

[tex]l=11-7[/tex]

[tex]l=4[/tex]

If [tex]w=4[/tex], then by using (i)

[tex]l=11-4[/tex]

[tex]l=7[/tex]

Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Answer:

d) sqrt a^6 × a

Step-by-step explanation:

sqrt a^6 × a

= a× a =a

6+ 1 = 7

= sqrt a^7

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

Answer:

Step-by-step explanation:

19 - 1.67 + |-2.4|

= 19 - 1.67 + 2.4

= 19 + 2.4 - 1.67

= 21.4 - 1.67

= 19.73 (Ans)

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

Answer:

L = 324 cm²

S = 359.1 cm²

Step-by-step explanation:

Lateral surface area of a triangular prism is given by,

Lateral surface area = Perimeter of the triangular base × Height

                                  = (9 + 9 + 9)×12

                                  = 27 × 12

                                  = 324 cm²

Surface area area of the triangular prism = Lateral area of the prism + Area of the triangular bases

= 324 + [tex]\frac{1}{2}(Base)(Height)[/tex]

= 324 + [tex]\frac{1}{2}(9)(7.8)[/tex]

= 324 + 35.1

= 359.1 cm²  

Answer:

That's unfortunate. Is everything okay?

Answer:

c.)  Metal wire is a good conductor of electricity.

Step-by-step explanation:

https://byjus.com/questions/why-are-metals-good-conductors-of-electricity/#:~:text=Metals%20are%20an%20excellent%20conductor,of%20the%20interacting%20metal%20ions.

"Metals are an excellent conductor of electricity and heat because the atoms in the metals form a matrix through which outer electrons can move freely. Instead of orbiting their respective atoms, they form a sea of electrons that surround the positive nuclei of the interacting metal ions."

Hope this helped!

Stay safe! <3

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Answer: 32*

Explanation:

9x + 3x-10 + 2x-6 = 180

x = 14

3(14) - 10 = 32

I hope this helped!

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- Zack Slocum

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Answer:

<A=32

Step-by-step explanation:

9x+3x-10+2x-6=180

14x-16=180

14x=196

x=14

3(14)-10=

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

Answer:

Mean, since it represents the most frequent number

Answer:-8/3

Step-by-step explanation:

given xy/3

putting vales of x and y

(-2)(4)/3

-8/3

Answer:

The 3 numbers are 9, 12, and 15.

Step-by-step explanation:

I will answer in English, below the answer you can see a translation in Catalan.

This can be translated to:

The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.

First, a multiple of 3 can be written as:

3*n

The consecutive multiple of 3 is:

3*n + 3

The consecutive multiple of 3 is:

3*n + 3 + 3

Then the sum of their squares is:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2

And we know that this is equal to 450, then we need to solve the equation:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450

let's solve this:

9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450

27*n^2 + 54*n + 45 = 450

we can write this as:

27*n^2 + 54*n + 45 - 450 = 0

27*n^2 + 54*n - 405 = 0

The solutions of this equation are given by the Bhaskara's formula, and the solutions are:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:

n = (-54 + 216)/54 = 3

Then the 3 numbers are:

3*n = 3*3 = 9

(3*n + 3) = (3*3 + 3) = 12

(3*n + 6) = (3*3 + 6) = 15

In Catalan:

En primer lloc, es pot escriure un múltiple de 3 com:

3 * n

El múltiple consecutiu de 3 és:

3 * n + 3

El múltiple consecutiu de 3 és:

3 * n + 3 + 3

Llavors, la suma dels seus quadrats és:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2

I sabem que això és igual a 450, llavors hem de resoldre l’equació:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450

resolem això:

9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450

27 * n ^ 2 + 54 * n + 45 = 450

podem escriure això com:

27 * n ^ 2 + 54 * n + 45 - 450 = 0

27 * n ^ 2 + 54 * n - 405 = 0

Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:

n = (-54 + 216) / 54 = 3

Llavors els 3 nombres són:

3 * n = 3 * 3 = 9

(3 * n + 3) = (3 * 3 + 3) = 12

(3 * n + 6) = (3 * 3 + 6) = 15

Answer:

C=2 [tex]\pi[/tex] r

Step-by-step explanation:

Answer:

√x-4 - 5

Step-by-step explanation:

a p E x

Answer:

D.

Step-by-step explanation:

A P E X

Answer:

dont know answer sorry minsan tama na sagot

How the answer works :

I am using A, B, C, and D for the question.

What I think :

I think the answer is.... C

Real answer :

I got it correct, because it is.... C!

Answer:

x = -4 and y = -20

Step-by-step explanation:

y = 5x and 7x - 3y = 32

→ Substitute y = 5x into 7x - 3y = 32

7x - 15x = 32

→ Simplify

-8x = 32

→ Solve

x = -4

→ Substitute x = -4 into y = 5x

5 × -4 = -20