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arlik [135]
3 years ago
5

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter

that is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

P = 1.5x.

Step-by-step explanation:

Let the length of each side of the first triangle be x, then

Perimeter of this triangle

= 2x + 1.5x

= 3.5x.

So perimeter of smaller triangle is:

P = 1/2 * 3.5x

P = 1,.5x.

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lutik1710 [3]
The answer would be D

8 0
3 years ago
In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vacci
Dahasolnce [82]

Here is the full question.

In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vaccine for malaria‚- a tropical disease that kills between 1.5 and 2.7 million people every year.1 Suppose the vaccine is tested with 700 volunteers in a village who are malaria-free at the beginning of the trial. Three hundred of the volunteers will get the experimental vaccine and the rest will not be vaccinated. Suppose that the chance of contracting malaria is 10% for those who are not vaccinated.

Construct a two-way table to show the results of the experiments if:

(a) The vaccine has no effect

(b) The vaccine cuts the risk of contracting malaria in half

Answer:

Step-by-step explanation:

From the given information above:

Suppose, there is no effect from the vaccine, the risk of having malaria for vaccine & no vaccine is equal to 0.1

Now, the Probability of not having malaria if vaccinated or no vaccinated = 1 - 0.1 = 0.9

Therefore: the table is shown below as follows:

                             Malaria              No Malaria                Total

Vaccinated          300 × 0.1 = 30     300 × 0.9 = 270    300

No Vaccine          400 × 0.1 = 40    400 × 0.9 = 360      700-300 = 400

Total                     40 + 30 = 70      270 + 360 = 630       700

(b)

The risk of malaria for vaccinated if the vaccine cuts the risk of contracting malaria in half are equal to 0.1/2 = 0.05

Thus; the probability of not getting malaria if vaccinated = 1 - 0.05 = 0.95

The table can then be computed as follows:

                             Malaria                No Malaria                 Total

Vaccinated       300 × 0.05 = 15     300 × 0.95 = 285       300

No Vaccine      400 × 0.1 = 40         400 × 0.9 = 360         700-300 = 400

Total                 40 + 15 = 55             285 + 360 = 645       700

7 0
3 years ago
Without the wind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a rate of 50 mph. The wind i
ch4aika [34]
The actual speed of the plane with the wind:
v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)²
v² = ( 150 + 35.355 )² + 35.355²
v² = 34,356.467 + 1,249.976
v = √35,606.452
v = 188.7 mph
8 0
3 years ago
Sara has $65 and wants to buy the following items from a store. Board game: $14.95 Building blocks: $25.49 Art kit: $35.79 At th
valina [46]

The correct statement is Sara can afford to purchase the items because the final price of the items is $60.

The first step is to determine the total cost of the items Sara wants to buy. The total cost can be determined by adding the cost of the items together.

Total cost = $14.95 + $25.49 + $35.79 = $76.23

The second step is to determine the cost of the items after the discount.

Price of the items = total cost x (1 - discount)

= total cost x (1 - 1/4)

total cost x 3/4

$76.23 x 3/4 = $57.17

The third step is to determine the cost of the items after tax.

Cost = (1.05) x $57.17 =$60.03

Please find attached the complete question. To learn more about taxes, please check: brainly.com/question/25311567

4 0
2 years ago
ASAP
Katen [24]

Answer:

No , because there are different formulas for each prism.

Step-by-step explanation:

7 0
3 years ago
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