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3 years ago

Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

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Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities

Juli2301 [7.4K]

Answer:

x + y > 15

10x + 5y < 100

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y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

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2 years ago

What value of x will make the equation below true? 5x = 12x – 28

mash [69]

X = 4
First take 12x off both sides, so -7x=-28
The negatives cancel out, so 7x=28
Not find the hcf and divide by that.

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2 years ago

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Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

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2 years ago

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This question is asking what the value of g(5) is please answer and explain this cause don’t understand functions at all!!

frosja888 [35]

Short Answer: g(x) = -3x This is a teaching question.
Remark
Define and describe f(x)
f(x) is read as y is dependent of x. The notation of f(x) with some exceptions is the same thing as y. What it stands for and what it can be used for is to tell you want value x can have if you want a specific value for x.

Suppose you are given
y = x + 2

Then suppose there is another statement above it
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Instead of writing the top statement
Let x = 5
You use the shorthand
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f(5) = 5 + 2
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So what does all this come down to. It is just a short way of writing Let x = ?
f(?) is what x will equal. x will become ?.

Your Question.
Remember that f(x) tells you what x becomes
f(5) means that x = 5.
Is that more than 4 or is that less than 4? It's a serious question.
Of course 5 is greater than 4. So that means that g(x) = - 3x. You don't have to do anything. Just read it.

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2 years ago

The product of 7 and a number x is at most 42

DaniilM [7]

Answer:

x=6

Step-by-step explanation:

42 is the total, so 42/7 is 6.

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2 years ago

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