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likoan [24]
3 years ago
5

A rectangular restaurant kitchen is 24 meters long and 10 meters wide. what is its perimeter?​

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

68

Step-by-step explanation:

24+24=48

                =68

10+10=20

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Please help using law of cosines!
Tamiku [17]

Answer:

∠ A ≈ 48°

Step-by-step explanation:

Using the Cosine rule to find an angle

cosA = \frac{b^2+c^2-a^2}{2bc}

with a = 10, b = 13 and c = 11

cosA = \frac{13^2+11^2-10^2}{2(13)(11)}

         = \frac{169+121-100}{286}

         = \frac{190}{286} , thus

A = cos^{-1} ( \frac{190}{286} ) ≈ 48° ( to the nearest degree )

6 0
4 years ago
The measures of two complementary angles have a ratio of 1:2 what is the measure of each angle
mamaluj [8]

The two angles are 30 degrees and 60 degrees

<em><u>Solution:</u></em>

Given that,

The measures of two complementary angles have a ratio of 1 : 2

Let the one of angle be 1x

Let the other angle be 2x

We know that,

Sum of two complementary angles is 90 degrees

Therefore,

1x + 2x = 90

3x = 90

Divide both sides by 3

x = 30

<em><u>Therefore, measure of each angles is:</u></em>

One angle = 1x = 30

Other angle = 2x = 2(30) = 60

Thus the two angles are 30 degrees and 60 degrees

6 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7 vinegar, and the second brand con
SOVA2 [1]

Answer:

78 ml of 7% vinegar and 312 ml of 12% vinegar.

Step-by-step explanation:

Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.    

We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:

x+y=390...(1)

y=390-x...(1)

We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be 0.07x.

The second brand contains 12 vinegar, so amount of vinegar in y ml would be 0.12y.

We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

0.07x+0.12y=390(0.11)...(2)

Upon substituting equation (1) in equation (2), we will get:

0.07x+0.12(390-x)=390(0.11)

0.07x+46.8-0.12x=42.9

-0.05x+46.8=42.9

-0.05x+46.8-46.8=42.9-46.8

-0.05x=-3.9

\frac{-0.05x}{-0.05}=\frac{-3.9}{-0.05}

x=78

Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.

Upon substituting x=78 in equation (1), we will get:

y=390-78

y=312

Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.

4 0
3 years ago
Just tell me the coordinates. I’ll give brainliest
tiny-mole [99]

Answer:

The coordinates are  (3,5)

Step-by-step explanation:

3 0
2 years ago
What is the answer x/5+7=16
vfiekz [6]

Answer:

73

Step-by-step explanation:

x/5+7=16

times 5 both sides

x + 7 = 80

  -7        -7

 x=73

5 0
3 years ago
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