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Aleks [24]
1 year ago
15

Two triangles are similar with a scale factor of 3. The preimage triangle has a base of 7 inches and a height of 10 inches. What

is the area of the larger triangle? Formula: Area = 1/2 (base)(height)
Mathematics
1 answer:
vaieri [72.5K]1 year ago
6 0

Answer:

<u>The area of the larger triangle is 315 inches²</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Pre-image triangle has a base of 7 inches and a height of 10 inches

Scale used : Factor of 3

2. What is the area of the larger triangle??

For calculating the area of the larger triangle, we use the scale this way:

Base = 7 inches * 3

21 inches

Height = 10 inches * 3

30 inches

Area of the larger triangle = 1/2 (Base * Height)

Area of the larger triangle = 1/2 (21 * 30)

<u>Area of the larger triangle = 630/2 = 315 inches²</u>

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The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th
Anit [1.1K]

we are given

a=f(t)=2t^2

we can use average rate of change formula from t=a to t=b

A=\frac{f(b)-f(a)}{b-a}

Here, we are given from t=1 to t=4

so, we will get formula as

A=\frac{f(4)-f(1)}{4-1}

now, we can plug values

A=\frac{2(4)^2-2(1)^2}{4-1}

now, we can simplify it

A=10

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

6 0
2 years ago
If a certain number is increased by 5 one half of the result is three-fifths of the excess of 61 over the number find the number
PSYCHO15rus [73]

Answer:

= 391/11

Let say number = N

a certain number is increased by 5

= N + 5

,one-half of the result

= (N + 5)/2

Three -fifths of the excess of 61 over the number.

= (3/5)(61 - N)

Equating both

(N + 5)/2  = (3/5)(61 - N)

multiplying by 10 both sides

=> 5(N + 5) = 6(61 - N)

=> 5N + 25 = 366 - 6N

=> 11N = 391

=> N = 391/11

Step-by-step explanation:

8 0
1 year ago
If the relative frequency of a train being late is 0.15 how often could you expect the train to be late in 100 days?
neonofarm [45]
(100)= 0.25*100=15 times. 

<span>SO, the train will be late 15 times in 100 days.

Hope i helped:P </span>
7 0
2 years ago
20c + 8d +10c - 5d<br><br><br> please answer you would get 15 points!
Rudik [331]
I think 30c+3d would be the correct answer.
4 0
2 years ago
Read 2 more answers
A and B will take the same 10-question examination. Each question will be answered correctly by A with probability .7, independe
MatroZZZ [7]

Answer:

a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).

b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.

Step-by-step explanation:

Number of questions in the examination = 10

Probability of A's answer being correct = 0.7

Probability of B's answer being correct = 0.4

The expected number of questions that are answered correctly by both A and B:

           Probability of       Expected        

        Correct Answer       Value          Variance

A              0.7                     7 (0.7 * 10)    2.25

B              0.4                     4 (0.4 * 10)    2.25

Total expected value =    11

           Mean =                  5.5                2.25

5 0
1 year ago
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