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sweet [91]
3 years ago
14

BD=16 and AC the perpendicular bisector of BD.

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0

Answer:

y = 5

Step-by-step explanation:

If AC is the perpendicular bisector of BD, that would mean that y+3=2y-2.

Now it's just simple algebra.

Solving for y, you get y=5.

Nady [450]3 years ago
6 0

Answer:

y=5

Step-by-step explanation:

because BD=16 you can add BC and CD together which is 3y+1 since BD and BC + CD is the same thing you can make the equation 3y+1=16

3y=15

y=5

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Find the lateral area.<br>10 is the height.
VMariaS [17]

Answer:

The lateral surface area of a cuboid is 180 units² .

Option (c) is correct.

Step-by-step explanation:

Formula

Lateral surface area of a cuboid = 2hl + 2hb

Where h is the height , l is the length and b is the breadth.

As shown in the figure.

Length = 4 units

Breadth = 5 units

Height =  10 units

Put in the formula

Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5

                                                = 80 + 100

                                                = 180 units ²

Therefore the lateral area of the cuboid is 180 units² .

Option (c) is correct.

4 0
3 years ago
Evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
kow [346]

Answer: 9

Step-by-step explanation:

s = 7

k = 4

x = 6

7 - 4 + 6

3 + 6

9

8 0
2 years ago
Twenty percent of a number is 14. find the number
7nadin3 [17]
The answer is:   70  .
___________________________________________
Explanation:
_________________________________

(20/100) x = 14;  solve for "x".

(20/100) = 2/10 = 1/5 ; 

(1/5) x = 14

x/5 = 14 ; 

x = 14 * 5 ; 

x = 70 .  The answer is:  70 .
___________________________________
5 0
3 years ago
Read 2 more answers
The probability distribution of random variable, X, is defined as follows:
stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(X) = \Sigma xP(x)

E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0
3 years ago
The distance from Atlanta, Georgia, to Great Falls, Montana, is 1,993 miles. What is the expanded form of the number 1,993?
vichka [17]

1000+9 x 100 + 9 x 10 + 3 x 1 or 1000 + 900+ 90 + 3

4 0
3 years ago
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