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3 years ago

2 MIDDLE SCHOOL QUESTIONS

Mathematics

2 answers:

Furkat [3]3 years ago

7 0

They should both be answer c

vredina [299]3 years ago

3 0

Answer:

The answer to number 1 is c the answer to number 2 is c

Step-by-step explanation:

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Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

Therefore, the correct answer is the letter C.

I hope it helps you!

5 0

3 years ago

What expression is equivalent to P/3 + (3s + 7)

ella [17]

Answer:

(P+9s+21)/3

Step-by-step explanation:

hello :

P/3 + (3s + 7) = P/3 + 3(3s + 7)/3 = (P+9s+21)/3

4 0

3 years ago

1/8 (3d-2) = 1/4 (d+5)

tatiyna

OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps! :)

8 0

3 years ago

Guess the rule and add the next number in the sequence. 7, 10, 16, 25, 37,

Delvig [45]

Answer:

Step-by-step explanation:

Let us first closely examine the sequence for any mathematical correlation between the terms of sequence.

It is visualized that the series is progressing with addition of increasing even numbers starting with +6 ( +6, +8, +10, +12, +14, +16, +18 …) in the previous term to obtain next terms of the series. This logic continues for entire series.

The given series is:

1 ,7 ,15 ,25 ,37

Starting with first number of the series

1 + 6 = 7

7 + 8 = 15

15 + 10 = 25

25 + 12 = 37

37 + 14 = 51

51 + 16 = 67

67 + 18 = 85

The extended series is

1, 7, 15, 25, 37, 51, 67, 85

4 0

3 years ago

Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 2

Ainat [17]

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3 0

3 years ago