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Reil [10]
3 years ago
8

Find the missing side. Round to the nearest HUNDRETH.

Mathematics
1 answer:
swat323 years ago
8 0

Answer:

A. 5.34

Step-by-step explanation:

Reference angle = 24°

Opposite = x

Adjacent = 12

Thus, applying trigonometric ratio, we have:

tan (24) = x/12

Multiply both besides by 12

12*tan (24) = x

x = 5.34 (nearest hundredth)

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Apartment 3 because you can transport faster and it only cost $160 more than the bus stop which can cause you stops to et to your destination
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How many triangles can be made if two sides are 4 inches and the angle between them is 90°?
frez [133]

Answer: Only one.


Step-by-step explanation:

Let Δ ABC be a right isosceles triangle with two sides are 4 inches and the angle between them is 90°.

Then all the triangles with same measurement will be congruent to Δ ABC by SAS congruency criteria .

Therefore, there is only one triangle possible for the given measurement.

  • <em>The </em><em>SAS postulate </em><em>says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. </em>

6 0
4 years ago
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What is 11 feet 6 inches + 12 feet 3 inches?
Vesna [10]

Answer:

23ft 9in

Step-by-step explanation:

7 0
3 years ago
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Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours
rusak2 [61]

Answer:

f(w) = 120 + 5(30-h)

Step-by-step explanation:

It is given that, Andrew gets paid $4 for first 30 hours of the week

So,

For first 30 hours, his wage will be:

4(30) = $120

Now, let w denote wages and h denote total number or hours he works in the week

So he will be paid $5 for h-30 hours

So the function will be

f(w) = 120 + 5(30-h)

Where $120 is the fixed income for first 30 hours and the second term is the wage of hours more than 30 at the rate of $5 per hour..

3 0
4 years ago
Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
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