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2 years ago

Are these triangles similar triangles?

Mathematics

2 answers:

Eddi Din [679]2 years ago

5 0

Answer:

Yes, they are similar according to Angle Side Angle postulate.

Step-by-step explanation:

Zanzabum2 years ago

3 0

A. Angle side angle

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The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room

Yuri [45]

Answer:

Width of the room = 5 meters

Step-by-step explanation:

the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X

We solve this quadratic equation

So x = 5 or x= -8

Width cannot be negative, so we reject x =-8

So x = 5 is the answer

8 0

2 years ago

Write the expression using a single exponent.

Ipatiy [6.2K]

Answer: D. 7^11

Reason:

The rule we use is $a^b*a^c = a^{b+c}$

When multiplying exponentials of the same base, we add the exponents.

The exponents 5 and 6 add to 5+6 = 11

So,

$7^5 \times 7^6 = 7^{5+6} = 7^{11}$

The base stays the same the entire time.

6 0

1 year ago

Read 2 more answers

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

$Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units$

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

7 0

2 years ago

A flower takes 8 minutes to grow 5.2 inches. How many inches will the flower grow in 17 minutes?

svp [43]

11.05 inches.

EXPLANATION:

Firstly, lets see the unit rate for how many inches per minute.

5.2 divided by 8 is 0.65 inches every minute.

Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.

11.05 inches.

Hope this helps!

5 0

2 years ago

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe

soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem: