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steposvetlana [31]

2 years ago

8

What is the value of expression below?

1 answer:

aleksandr82 [10.1K]2 years ago

3 0

$\huge\text{Hey there!}$

$\huge\boxed{\mathsf{\sqrt{49} + 2\times6}}\\\\\huge\boxed{= \mathsf{\bold{7}+ 2\times6}}\\\\\huge\boxed{= \mathsf{7 + \bf 12}}\\\\\huge\boxed{\mathsf{= \bf 19}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{19}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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5) What three consecutive even integers have a sum of 18?

LenKa [72]

Answer: 5, 6, and 7.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Arrange the cones in order from lease volume to greatest volume

bearhunter [10]

Answer:

Volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let $V_{2}. V_{3}. and\ V_{4}.$ be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

$d_{1} = 20\ and\ h_{1}=12$

$d_{2} = 18\ and\ h_{2}=10$

$r_{3} = 10\ and\ h_{3}=9$

$r_{4} = 11\ and\ h_{14}=9$

Arrange the cones in order from lease volume to greatest volume.

Solution:

The volume of the cone is given below.

$V=\pi r^{2} \frac{h}{3}$ ----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

The volume of the cone for $d_{1} = 20\ and\ h_{1}=12$

$r_{1} = \frac{d_{1}}{2}$

$r_{1} = \frac{20}{2}=10\ units$

$V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}$

$V_{1}=\pi (10)^{2} \frac{12}{3}$

$V_{1}=\pi\times 100\times 4$

$V_{1}=400\pi\ units^{3}$

Similarly, for volume of the cone for $d_{2} = 18\ and\ h_{2}=10$

$r_{2} = \frac{d_{2}}{2}$

$r_{2} = \frac{18}{2}=9\ units$

$V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}$

$V_{2}=\pi (9)^{2} \frac{10}{3}$

$V_{2}=\pi\times 81\times \frac{10}{3}$

$V_{2}=\pi\times 27\times 10$

$V_{2}=270\pi\ units^{3}$

Similarly, for volume of the cone for $r_{3} = 10\ and\ h_{3}=9$

$V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}$

$V_{3}=\pi (10)^{2} \frac{9}{3}$

$V_{3}=\pi\times 100\times 3$

$V_{3}=\pi\times 300$

$V_{3}=300\pi\ units^{3}$

Similarly, for volume of the cone for $r_{4} = 11\ and\ h_{4}=9$

$V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}$

$V_{4}=\pi (11)^{2} \frac{9}{3}$

$V_{4}=\pi\times 121\times 3$

$V_{4}=\pi\times 363$

$V_{4}=363\pi\ units^{3}$

So, the volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

7 0

3 years ago

What is the length of a radius of the circle represented by the equation

Arlecino [84]

Answer:

A) 2 units

Step-by-step explanation:

Given;

x² + y² - 4x - 4y + 4 = 0

Consider general circle equation;

(x - h)² + (y - k)² = r²

where;

(h , k ) is the center of the circle

r is the radius of the circle

x² + y² - 4x - 4y + 4 = 0

subtract 4 from both sides of the equation

x² + y² - 4x - 4y = - 4

square half of coefficient of x and y, and add them to both sides of the equation

x² + - 4x + (-2)² + y² - 4y + (-2)² = - 4 + (-2)² + (-2)²

factorize x and y

(x - 2)² + (y - 2)² = - 4 + 4 + 4

(x - 2)² + (y - 2)² = 4

(x - 2)² + (y - 2)² = 2²

Compare this final equation to general equation of a circle

(x - 2)² + (y - 2)² = 2²

(x - h)² + (y - k)² = r²

r = 2

Thus, the length of a radius of the circle is 2 units

3 0

3 years ago

Identify the number that does not belong with the other three. Explain your reasoning.

mojhsa [17]

Answer:

To identify which integer does not belong with the rest, we must first evaluate each.

Step-by-step explanation:

[25.6...] is already evaluated. Therefore, let's move on to Integer <em>b: </em> $\sqrt{x}$ , where is <em>x </em>is 48.

48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3

√48 = $\sqrt{2}$ * 2 * 2 * 2 * 3

We have 1 perfect sqaure: $\sqrt{2}$ * 2

When we multiply, we receive 2.

Therefore, 2 * $\sqrt{2 * 3}$

When -51/2 is relatively prime, we receive -25 1/2

Finally, the last integer is already simplified.

Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.

6 0

3 years ago

4x2 is the GCF of this polynomial.<br> 20x2y + 56x3 - ?

djverab [1.8K]

Answer:

The answer is B. 24x2y

Just did it on edge! Enjoy! :D

8 0

3 years ago

Read 2 more answers