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Makovka662 [10]
3 years ago
6

Which pair of equations can be used to solve for x in PQR?

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

A

Step-by-step explanation:

sin57° = \frac{opposite}{hypotenuse} = \frac{PQ}{PR} = \frac{x}{18}

∠ P = 180° - (90 + 57)° ← sum of angles in triangle

∠ P = 180° - 147° = 33° , then

cos33° = \frac{adjacent}{hypotenuse} = \frac{PQ}{PR} = \frac{x}{18}

Thus the 2 ratios used to solve for x are A

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A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?
Tems11 [23]

Answer:

Nope

Step-by-step explanation:

To now if a triangle is a right angle, use Pythagoras Theorem,

a^2 + b^2 = c^2

C usually be the longest side of the triangle, C = 17

Then also let a and b be 6 and 13 respectively.

6^2 + 13^2 =205

C^2 = 205

C = sqrt(205) = 14.32

therefore no this is not a right angle triangle

4 0
2 years ago
The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di
Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

d=67t

where d represents distance traveled in kilometers and t is the time in hours.

To find the unit rate of Train A, we will plugin t=1 and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

d=67(1)

d=67

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

2\ hr = 150\ km

So 1\ hr = \frac{150}{2}\ km = 75\ km

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = 75-67=8\ km/hr

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

3 0
4 years ago
Please help with question below.
Nonamiya [84]

Answer:

Step-by-step explanation:

We have to find the points that are on the graph by finding the order pair (x, y) We are given the x value, so substitute x in the given equation f(x) and find y.

The graph is a line

6 0
3 years ago
2. Consider the line segment below.
PtichkaEL [24]
If AB is 128 centimeters long what is xe
3 0
2 years ago
Can you guys help me please :(
ale4655 [162]

Answer:

720 m²

Step-by-step explanation:

Area = base × height

= 12 × 6

= 72 mm²

≈ 720 m² (1 mm = 10 m)

5 0
2 years ago
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