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MA_775_DIABLO [31]
3 years ago
7

Question 7 of 27

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.

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What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

6 0
3 years ago
Simplify the following expression 5^2-4/5+2
Misha Larkins [42]
131/5 is your answer

3 0
3 years ago
What single transformation was applied to quadrilateral A to get quadrilateral B?
Helen [10]
B : rotation.

Translation is if you are moving the shape from one place to the other. Reflection is if you are flipping the shape over a line ( which it is not ) and dilation is when the shape is becoming bigger or smaller.
6 0
2 years ago
How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three
AnnZ [28]

Answer:

Infinitely many solutions.

Step-by-step explanation:

In the equation −2y + 2y + 3 = 3  we see only one variable, and that variable is of the first power.  Ordinarily, we'd say that this equation will have 1 solution.  However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values.  Infinitely many solutions.

3 0
3 years ago
Read 2 more answers
There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?
ValentinkaMS [17]
Hello there.

<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 =  72.
The number of people that could be fed from the 24 pizzas is 72.

Hope This Helps You!
Good Luck Studying ^-^</span>
6 0
3 years ago
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