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VikaD [51]
3 years ago
14

2. 5²- 4 +3 • (9 • 2) /2=

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

2) 48

3) 72

4) 48

5) 105

6) 47

7) 37

8) 400

9) 17

10) 13

I hope this helps! Let me know if I get anything wrong so I can fix it.

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The coordinates of the endpoints of line segment C D are C(3, 8) and D(6, -1). Express the length of line segment C D in simples
8_murik_8 [283]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
C&({{ 3}}\quad ,&{{ 8}})\quad 
%  (c,d)
D&({{ 6}}\quad ,&{{ -1}})
\end{array}\qquad 
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{(6-3)^2+(-1-8)^2}\implies CD=\sqrt{3^2+(-9)^2}
\\\\\\
CD=\sqrt{9+81}\implies CD=\sqrt{90}\quad 
\begin{cases}
90=2\cdot 3\cdot 3\cdot 5\\
\qquad 2\cdot 3^2\cdot 5\\
\qquad 10\cdot 3^2
\end{cases}
\\\\\\
CD=\sqrt{10\cdot 3^2}\implies CD=3\sqrt{10}
3 0
3 years ago
Y is directly proportional to x and inversely proportional to the square of w. Give the equation:
Goshia [24]

Answer: y=kx/w^2

Step-by-step explanation:

y is directly proportional to x

y∝x        

y=kx

y inversely proportional to the square of w.

y ∝ (1/(w)^2)

y=k/w^2

y=kx/w^2

8 0
1 year ago
A barn silo, excluding the top, is a cylinder. The silo is 7 m in
Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

  • The silo is 7 m in  diameter
  • Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = \frac{1}{2} × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0
3 years ago
What is the quotient of 100 and the sum of b and 24
I am Lyosha [343]
Are you sure this is the COMPLETE problem?

3 0
3 years ago
In a class election Mark received 3/5 of the votes in his class of 30 students
Andrei [34K]
So, we need to find how many students voted for Mark, I assume.

So, we need to divide 30 by 5

30 ÷ 5 = 6

So, 3 × 6 =18.

So, Mark received 18 votes

I think this is the answer.

Glad I could help, and good luck!

AnonymousGiantsFan

Those Great Videos [[ YouTube name ]]
6 0
3 years ago
Read 2 more answers
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