Two sides of a right triangle are 8” and 12”.A. Find the the area of the triangle if 8 and 12 are legs.

B. Find the area of the triangle if 8 and 12 are a leg and hypotenuse.

Answers

Answer 1
Answer: Area of a right triangle = ab/2

where a and b are both legs of the triangle.

A) a = 8 inches ; b = 12 inches
A = (8in x 12in)/2 = 96/2 = 48 in²

B.) a = 8 inches ; b = ? ; hypotenuse = 12 inches

Pythagorean theorem is used to get the measurement of the hypotenuse. It can also be used to get the measurement of the missing leg.

a² + b² = c² ⇒ b² = c² - a²
b² = 12² - 8²
b² = 144 - 64
b² = 80
b = √80
b = 8.94

A = ab/2 ⇒ (8 inches * 8.94 inches)/2
A = 71.52 in² / 2
A = 35.76 in²

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Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?

Answers

Answer:

The answer is D, or 354 3/8 ft^2

Solve the literal equation for the given variable. A= bh/2 (bh over 2)
Solve for b. With solution please.

Answers

If I understood your question right, he right equation would be b=2A/h

If A is on the one side of the equation, and bh/2 is on the other side, it means that our goal is to get to the point when b is alone on one side of the equation, doesn't matter which. 

When working with equations like this, always remember that if X is the number that you divide by on one side, when you transfer it to the other side of the 'equal' sign it is going to switch is function and become a multiplier. So, in this case, when we transfer the number two on the other side it is going to become 2xA and we will have left 2 x a=b x h.

To get b alone, as we wanted to, we will transfer h on the other side and it will become the divider, adn we will get the solution: 2A/h=b 

Hope this helps :)

Why is a number raised to the zero power ALWAYS one and never any other number?

Answers


Do you know how to simplify, let's say for example,    x⁵/x²  ?

When the bases are the same, you can just subtract the exponent in
the denominator from the exponent in the numerator.  So  x⁵/x² = x³ .

Now look at  x⁷/x⁷ .  From that same handy tip, x⁷/x⁷ = x⁰ .

BUT ... any fraction with the same number on top and bottom
is equal to ' 1 '.  So  x⁰ = 1 , no matter what 'x' happens to be.

Does that do anything for you ?


Original price: $45.00;markdown: 22%

Answers

Answer:

$35.10

Step-by-step explanation:

Original price = $45.00

Markdown = 22%

Therefore, 22% × 45.00

= (22)/(100) × 45.00

= 0.22 × 45.00

= $9.9

Now subtract $9.90 from $45.00

= $45.00 - $9.90 = $35.10

$35.10 is the answer.

22% is 0.22 in decimal form
0.22×45= $9.90 markdown so 45-9.90= $35.10 is the sales price

Cocoa plant type 1 yielded 155 bushels per acre last year at a research farm. This year,cocoa plant type 2, planted in the same location, yielded only 123 bushels per acre and
there was a major freeze. The researchers do not know whether the difference is the
result of the superiority of type 1 or the freeze. What is this an example of? (4 points)
- Bias
- Confounding variable
- Matched-pairs desighs
- The placebo effect
- Replication

Answers

The confounding variable, often described as a confounder or confusing factor, is a dimension in studies looking at a possible causation link, and further calculation can be defined as follows:

  • It has connected both to the study's apparent cause and its ostensible impact.
  • It can be difficult to differentiate between both the genuine relationship between the independent variable and the effect of a contextual factor.
  • It is an external factor that alters the impact of variables to utilized to sway the findings of an experiment.

Therefore, the final answer is "Confounding variable".

Learn more:

brainly.com/question/9130059

a cooking pot contain 42 ounces of soup and will serve 8 people at this rate how many Ounces will be needed to serve 12 people

Answers

so 42 oz=8 people
42 to 8
treat as fraction
42/8=21/4
21:4=x:12
21/4=x/12
multiply both sides by 12
252/4=x
63=x
63 oz is the answer