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2 years ago

In the figure above, what is the area of triangle QRS?

Mathematics

1 answer:

Vlad [161]2 years ago

6 0

Answer:

D) 20.

Step-by-step explanation:

First find the value of x using Pythagoras theorem:

10^2 = x^2 + (2x)^2

5x^2 = 100

x^2 = 20

x = √20

= 2√5.

So the area of triangle

= 1/2 * base * height

= 1/2 * 2x * x

= x^2

= (2√5)^2

= 20.

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Which input value produces the same output value for the

USPshnik [31]

Answer:

x = 4

Step-by-step explanation:

The 2 graphs have the same output, y = 3 at the point of intersection

This occurs when the input is x = 4

8 0

3 years ago

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The difference between two numbers is 12. If the smaller number is x,

Finger [1]

Answer:

12 + x is the larger number

Step-by-step explanation:

In algebra, the word problem says:

y - x = 12, for y is the larger number, x is the smaller number

y = 12 + x

4 0

3 years ago

Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked

Nimfa-mama [501]

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

$Speed = \frac{Distance}{Time}$

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

$Speed = \frac{Distance}{Time}$

$Speed = \frac{4/5 miles}{1/3hour}$

$Speed = \frac{4}{5} \times \frac{3}{1}$

$Speed = \frac{12}{5}$

$Speed = 2.4 miles/hour$

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

$Speed = \frac{Distance}{Time}$

$Speed = \frac{5/6miles}{5/12 hour}$

$Speed = \frac{5}{6} \times \frac{12}{5}$

$Speed = 2 miles/hour$

Hence, Kamlee's speed is 2 miles/hour

4 0

3 years ago

Available Answers<br> A. 6<br> B. 9<br> C. 21<br> D.30

Tomtit [17]

B is the answer because it's 9 of the repeating digits on the paper. The y intercept is 5 degrees

5 0

3 years ago

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The actual length of a table is 45 1/2 inches. Harriet estimates the length of the table and finds her percent to be less than 4

Ksenya-84 [330]

Answer:

Harriet's estimated length is between 44.1 inches and 47 inches.

Step-by-step explanation:

Let the error be x.

so, x<4%

Now, if error is 1%

45 1/2 + 1% of 45 1/2

or, 91/2 + 1/ 100 × 91/2

= 46

Now,

45 1/2 - 1% of 45 1/2

or, 91/2 - 1/100 × 91/2

= 45.1

Now,

if error is 3%

45 1/2 + 3% of 45 1/2

or, 91/2 + 3/100 × 91/2

= 47

45 1/2 - 3% of 45 1/2

= 91/2 - 3/100 × 91/2

= 44.1

4 0

3 years ago

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