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Varvara68 [4.7K]
3 years ago
13

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

The value of t = 2. <u>Option a)</u> 2 is the correct answer.

<u>Step-by-step explanation:</u>

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

       AB= 3t + 3t = 6t

side BC= BE+EC

       BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2

zaharov [31]3 years ago
3 0

Answer:

2

Step-by-step explanation:

I just took the test

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The dimensions of a figure are shown below.<br> Help please!!
alina1380 [7]

Answer:

60 feet^3

Step-by-step explanation:

like you draw, cut it to two part.

the small one:

1 x 3 x 4=12 feet^3

The big one:

2 x 6 x 4=48 feet^3

So the total is:

12+48=60 feet^3

Hope it helps.

8 0
3 years ago
Scale of a model airplane to the actual airplane is 1 inch equals 10 feet. How many times longer the actual plane is than the mo
WINSTONCH [101]

Answer:

120 times

Step-by-step explanation:

If we want to find a qunatity is how many times as other quantity, we have to divide the large one by the small one (remember, same units).

Let's make both into inches.

We have 1 inch [model]

also

10 feet * 12 = 120 inches

Thus, we can say:

120/1 = 120 times

So, Actual Plane is 120 times than model airplane

6 0
3 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

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4 0
1 year ago
A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a
Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

1)

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0
3 years ago
The rosebud flower shop has a basic delivery charge of $5 plus a rate of 25 cents per mile. The Beautiful Bouquets flower shop h
babymother [125]

The mileage is 12

and the price is $10

4 0
3 years ago
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