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PIT_PIT [208]
3 years ago
7

In the expression ax+bx,a is a decimal and b is a fraction. How do you decide whether to write a as a fraction or b as a decimal

?
Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

f(x) = x^2 - x - 12

Step-by-step explanation:

The function is f(x) = (x + 3)(x - 4), or f(x) = x^2 - x - 12.  Here, a = 1, b = -1, and c = -12.

HOPE THIS HELPED ;3

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
2 1/2 ÷ 1 5/8 =<br><br> Two and a half divided by one and five eights
LUCKY_DIMON [66]
So first of all we can't start by changing them both into improper fractions

So it would be:
5/2 divided by 13/8
From there you would do 5/2 * 8/13 which could convert to
5/1 * 4/13 which would be 20/13
3 0
3 years ago
Read 2 more answers
Find the volume of a
Serggg [28]

Answer:

v = 189 ft³

Step-by-step explanation:

v = lwh

v = 3 * 7 * 9

v = 189 ft³

8 0
3 years ago
Whisper is exercised twice a day.
aleksklad [387]

Answer:

I:23/48

ii 25/48

Step-by-step explanation:

30min=0.5hr

total time exercised: 11+0.5=11.5hr

Divided by total hours of a day:

11.5/24=115/240=23/48

ii:(48-23)/48

4 0
3 years ago
Read 2 more answers
Winston can drive a total of 248 miles on Monday. He drove 70 fewer miles in the morning that he did in the afternoon. How many
Nookie1986 [14]
To find the answer,we can set an equation:

Let the time he used to drive in the afternoon be y miles.

Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248

The value of y:

y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159

Therefore, he droved 159 miles in the afternoon.

Hope it helps!
7 0
3 years ago
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