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avanturin [10]
3 years ago
13

2. Solve for x. Round to the nearest hundredth if necessary. Х 19 29°

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = \frac{opposite}{adjacent} = \frac{19}{x} ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = \frac{19}{tan29} ≈ 34.28 ( to the nearest hundredth )

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Rebecca has $1 and Tim has $70, together they have $71.

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Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grapes?
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$0.64/lb

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Evaluate 10 + 4(3 + 2) + 5 + (12 ÷ 6).
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<span>10 + 12 + 8 +7 = </span>

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4. Complete the table below that shows the distance Bryan's family has tseveles
juin [17]

Answer:

4-  

30 minutes --- 562.5 miles  

240 minutes --- 300 miles  

480 minutes --- 0 miles

600 minutes --- 150 negative miles (they would have already arrived).

 5- 240 CDs will weigh 720 ounces.

Step-by-step explanation:

4- Given that Bryan family's summer house is 600 miles away, and after 30 minutes, they are 562.5 miles left to their destination, to determine the distance in the following minutes the following calculations must be performed:

30 minutes --- 562.5 miles

240 minutes --- 300 miles

600 - 562.5 = (37.5) / 30 = (1.25) x 240 = 300 miles

480 minutes --- 0 miles

600 - 562.5 = (37.5) / 30 = (1.25) x 480 = 600 miles

600 minutes --- 150 negative miles

600 - 562.5 = (37.5) / 30 = (1.25) x 600 = 750 miles

5- Given that Jasmine mails 2 CDs in an envelope and the envelope weighs 6 ounces, to calculate the weight of 240 CDs the following algebraic calculation must be performed:

6/2 x 240 = X

3 x 240 = X

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8 0
2 years ago
from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee
Snowcat [4.5K]

Answer:

The  height of the building is 73.2\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(38\°)=\frac{BC}{AB}

we have

AB=63\ ft

substitute and solve for BC

tan(38\°)=\frac{BC}{63}

BC=(63)tan(38\°)=49.2\ ft

Find the height of the building

The  height of the building (h) is equal to

h=BC+24=49.2+24=73.2\ ft

8 0
3 years ago
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