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3 years ago

Write a subtraction sentence where the difference is positive. Use a positive and a negative integer.

1 answer:

7 0

9 - -3 = 12
Nine minus negative three equals twelve
nine= positive integer
negative three = negative integer
twelve= positive difference

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If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

2 years ago

What is an equivalent expression for 4y plus y

RideAnS [48]

4y plus y

= 4y + y

= 5y

5 0

3 years ago

If Log 20 = 1.301 what is the value of Logsub100 20?

Charra [1.4K]

Answer:

$log_{100}20 = 0.6505$

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

$10^{1.301} = 20$ (This is the log in exponential form)

Since we don't know what $log_{100}20$ is equal to, we will say $log_{100}20$ = x

So to solve for $log_{100}20$ = x, you do the same thing. (convert to exponential form)

$100^{x} =20$

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say $100^{x}$ = $10^{1.301}$

Another way of saying 100, is $10^{2}$ (make the bases the same)

Now we get $10^{2x} = 10^{1.301}$

(we get 2x because an exponent to the power of an exponent ( $2^{x}$ ) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

6 0

2 years ago

Un radar de l'armée américaine réussit à détecter tout ce qui se trouve à un rayon représenté

WARRIOR [948]

Répondre:

r <27

Explication étape par étape:

Compte tenu de l'inégalité 5r + 9> 10r - 126

Nous devons trouver l'ensemble de solutions

5r + 9> 10r - 126

Ajouter 126 des deux côtés

5r + 9 + 126> 10r - 126 + 126

5r + 135> 10r

5r-10r> -135

-5r> -135

Divisez les deux côtés par -5 (notez que le signe changera)

-5r / -6 <-135 / -5

r <27

Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27

8 0

2 years ago

Please help with these questions. Will mark brainliest!

andrew11 [14]

Answer:

1, pre image 2, transformation

Step-by-step explanation:

6 0

3 years ago