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inn [45]
3 years ago
7

The ratio of hot dogs to hamburgers on a barbeque table is 7:3. If there are 51 hamburgers on the table then how many hot dogs m

ust be there?
Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer:

119 hotdogs

Step-by-step explanation:

Let 7x = no. of hotdogs

then 3x = no. of hamburgers

3x = 51

x = 17

7(17) = 119 hotdogs

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Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

<u>Points to remember</u>

<u>Distance formula</u>

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

<u>To find the length and breadth</u>

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and  

Breadth of rectangle = 5 units

<u>To find the area of rectangle</u>

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3 years ago
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Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2
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Answer:

B

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using the tangent ratio on the triangle on the right and the exact value

tan60° = \sqrt{3} , then letting the altitude be h

tan60° = \frac{opposite}{adjacent} = \frac{11\sqrt{6} }{h}  = \sqrt{3} ( multiply both sides by h )

11\sqrt{6} = h × \sqrt{3} ( divide both sides by \sqrt{3} )

11\sqrt{2} = h

using the sine ratio in the triangle on the left and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

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\sqrt{2} × x = 22\sqrt{2} ( divide both sides by \sqrt{2} )

x = 22

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1 year ago
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