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son4ous [18]
3 years ago
13

In a triangle, PQR, Q= 72 degree, R= 32 degree and PR= 12. find PQ.

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

PQ=6,69 units

Step-by-step explanation:

b/Sin32°=c/Sin72°

PQ/Sin32°=12/Sin72°

PQSin72°=12Sin32°

PQ=12Sin32°/Sin72°

PQ=6.69 units

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A restaurant has 20 and 1/2 pounds of bananas to make smoothies a check uses 1/8 lb of bananas per smoothie. how many smoothies
torisob [31]

Step-by-step explanation:

I assume you meant :

the restaurant has 20 1/2 pounds of bananas.

one smoothie uses 1/8 pound of bananas.

how many smoothies can be made with the amount of available bananas ?

the answer is as many as the times 1/8 fit into 20 1/2.

so, we actually calculate

(20 1/2) / (1/8)

first we will convert the mixed number into a true fraction :

20 1/2 = 40/2 + 1/2 = 41/2

so we have

41/2 / 1/8

and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :

a/b / c/d = a×d / b×c

a/b / c/d = a/b × d/c = a×d / b×c

so,

41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164

they can make 164 smoothies.

7 0
1 year ago
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. if she completed 12 free throws, fi
Artemon [7]
Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,                  
                    (4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices. 
6 0
3 years ago
Read 2 more answers
Louie is trying to find a rectangular canvas for his art project. Its width must measure 20 inches and form a 35° angle with the
riadik2000 [5.3K]

Answer:

tan(35) = x/20

20(tan(35)) = x

14.0 in. = x

14.0 inches

Step-by-step explanation:

use trigonometry to figure out the height.

3 0
3 years ago
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Is 1 yard bigger than 4 feet
mafiozo [28]

Answer:

Nope!

To sum it up, the 4 feet is bigger <:)

Step-by-step explanation:

Brainiest please!

One yard = 3 feet, and because there is 4 feet that means it is 1 yard AND one foot!

4 0
3 years ago
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The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?
lyudmila [28]
To get the surface area of the sphere, we need to know the radius. Since the volume is given, we can get the radius.
Volume =  \frac{4}{3}π r³
5000πm³ = \frac{4}{3} π r³
5000m³ = \frac{4}{3} r³
5000m³ x 3 = 4r³
\frac{15000m³}{4} = \frac{4r³}{4}<span>
</span>∛3750 = ∛r³

r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²
7 0
3 years ago
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