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kenny6666 [7]
2 years ago
11

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Illusion [34]2 years ago
7 0
Cos(o)= ads
CoS61X
5.5=* (Cos (60)
11.344
-
X= 5.5

COSC61)
The answer is in the picture
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Mr.Harris worked 40 hours this week. He also got a bonus of $180. He made a total $780. How much does Mr. Harris earns per hour?
Aloiza [94]

Answer: $15

Step-by-step explanation:

$780 - $180 = $600

$600/40hrs = $15

7 0
3 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
What is the length of the hypotenuse of the triangle?
igor_vitrenko [27]

Answer:

The answer is 37.

Step-by-step explanation:

#Hope it helps uh.......

8 0
2 years ago
Segments RT and SU are diameters of circle O.What is mSRT?
Pavlova-9 [17]

Angle SRT is undetermined by the question.

A diameter always subtends a right angle (Thales' Theorem, the first in geometry)  so we can be assured SRU, STU, RUT and RST are right angles.


3 0
2 years ago
aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86           .........1

Again

E = 2 × B                           ..........2

Again

A = B - 6                            ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴   B = \dfrac{92}{4}

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵  E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  . Answer

6 0
3 years ago
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