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3 years ago

Use IDEAL to solve the following problems (WORTH 50 POINTS)

1 answer:

8 0

So pythagrorean theorem is the ideal way and easiest way to solve this

a^2+b^2=c^2

8.5^2+11^2=x^2
72.25+121=193.25
square root of 193.25=13.9014 or 13.9 in

9.5^2+15^2=x^2
90.25+225=315.25
square root of 315.25=17.7553 or 17.8 ft

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The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the neare

Luden [163]

Answer:

109.75

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 8.5*6=51

rec 2: (9.5-5)*(13.5-5-6)=11.25

rec 3:5*9.5=47.5

Then:

51+11.25+47.5=109.75

5 0

3 years ago

While on a road trip, Steve drove 300 miles in 5 hours. After stopping for gas, he drove an additional 120 miles in 2 hours. Doe

bija089 [108]

Answer:

The given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.

Step-by-step explanation:

We are given the following information in the question:

Steve drove 300 miles in 5 hours.

After stopping for gas, he drove an additional 120 miles in 2 hours.

We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.

For direct variation, the equation is of the form y = kx that is , we can write,

$\displaystyle\frac{y}{x} = k$

To check the ratio:

$\displaystyle\frac{300}{5} = \frac{300+120}{5+2} =\frac{420}{7} = 60$

Thus, the given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.

3 0

3 years ago

A certain right triangle with integer side lengths has perimeter $72$. What is its area?

JulijaS [17]

Answer: 216 square units

====================================================

Explanation:

A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.

If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer

the side length 3 becomes 3*6 = 18

the side length 4 becomes 4*6 = 24

the side length 5 becomes 5*6 = 30

The new perimeter is 18+24+30 = 42+30 = 72

The last step is to find the area. The two legs of this triangle are the base and height

area = 0.5*base*height

area = 0.5*18*24

area = 9*24

area = 216

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Or you could find the area of the 3-4-5 right triangle to get

area = 0.5*base*height = 0.5*3*4 = 6

then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.

7 0

3 years ago

(Q4) Which values of a and b in the exponential function y = a (bx) would result in the following graph?

kenny6666 [7]

Answer: second option.

Step-by-step explanation:

By definition, you know that:

$b^0=1$