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2 years ago

I need to do those exercises but i’m not sure how

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

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Choose the correct answer with the reason

icang [17]

The answer should be D
Step by Step: |2x-2| <(or equal to) 6
Add 2 on both sides should give you, |2x| < 8
Divide both sides by 2, giving you 4
Other way, is doing the same but -2

6 0

3 years ago

Using sum or difference formulas, find the exact value of sin(165∘)

Nikitich [7]

$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\$

$\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}$

6 0

3 years ago

Write a multiplication equation using one whole number and one fraction that have a product of 18/8

Digiron [165]

Answer:

whole number = 8

fraction = 1/8

1/8 * 18 = 18/8

Step-by-step explanation:

fraction times a whole number = 18/8

1/8 * 18 = 18/8

6 0

3 years ago

What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.

JulsSmile [24]

Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches

4 0

3 years ago

Select the correct answer from each drop-down menu.

Annette [7]

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation $\bf{y=-(x-2)^2+5}$ (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

$y=-(2-2)^2+5=5.$

The extreme value of this equation has a minimum at the point (2,5).

7 0

3 years ago

Read 2 more answers