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3 years ago

Section B

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

Answer/Step-by-step explanation:

Using α as reference angle:

Perpendicular side = BC (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = AB (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AC (the side opposite to the right angle, 90°)

Using β as reference angle:

Perpendicular side = AB (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = BD (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AD (the side opposite to the right angle, 90°)

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What is the solution of 4 |x - 9| + 6 > 42?

Galina-37 [17]

Answer:

0 <x> 18

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(4 • (x - 9) + 6) - 42 > 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x - 72 = 4 • (x - 18)

Equation at the end of step 3 :

4 • (x - 18) > 0

Step 4 :

4.1 Divide both sides by 4

Solve Basic Inequality :

4.2 Add 18 to both sides

x > 18

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2 years ago

A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t

PtichkaEL [24]

Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c$

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.

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2 years ago

In what time will a sum of money double itself at 10%? ease answer this please I need helppp....

nirvana33 [79]

Answer:

8 generations

Step-by-step explanation:

Start with $1 and add 10% per generation until you reach $2. (Multiply by 1.1).

$1.10

$1.21

$1.33

$1.46

$1.61

$1.76

$1.94

$2.12

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2 years ago

Solve the equation. 5x + 10 = 15 A. 3 B. 1 C. 5 D. 25

nikklg [1K]

Answer:

B. 1

Step-by-step explanation:

5x + 10 = 15

-10 -10

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÷ 5 ÷ 5

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2 years ago

Using the figure below, what is the value of y?

Bess [88]

Answer:

C. 132

Step-by-step explanation:

We assume all angle measures are in degrees. The vertical angles are equal in measure, so ...

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3x = 36

x = 12

x +36 = 48

y = 180 -48 = 132

The value of y is 132.

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2 years ago