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andrew-mc [135]
3 years ago
9

Can someone help me please

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

a) \:  \cos(39°)  =  \frac{x}{7} \Leftrightarrow x = 7\cos(39°) \approx5.44 \\ b) \:  \sin(46°) =  \frac{8}{x}  \Leftrightarrow x =  \frac{8}{\sin(46°)}  \approx11.12

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3(x+9)-4x=11x-13x+23
adoni [48]

Answer:

\huge\boxed{x=-4}

Step-by-step explanation:

3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4

7 0
2 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w
leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

f(x)=6+30x

now we can proceed to solve the cost of the walk for 45 minutes

\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}

now we can input the value into the equation and know the cost for 45 minutes walk

\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0
1 year ago
Anne earned $3 an hour baby-sitting, and $4 an hour working in the garden. Last week she did baby-sitting for 5 hours and garden
Dmitry_Shevchenko [17]
She needs 8 more dollars.  
if you multiply 3 times 5 equals 15 
and 4 times 3 equals 12 
then add that which is 27
35 minus 27 is 8.

8 0
2 years ago
How many meters is in the foot of the ladder from the wall? Round only your final answer to the nearest tenth.
kaheart [24]

Answer is 3.5

See attached photo

5 0
2 years ago
Simplify the expression. (3.5x - 5) + (7.2x + 10)
Andru [333]

Answer: 10.7x + 5

Step-by-step explanation:

(3.5 + 7.2)x + (-5 + 10) = 10.7x + 5

8 0
2 years ago
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