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Doss [256]
3 years ago
14

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

  • B. Obtuse Triangle

Step-by-step explanation:

<u>Use Pythagorean to identify if the triangle is right:</u>

  • 9² = 7² + 3²
  • 81 = 58

We see the triangle is <u>not </u>right and the difference of the squares tells us the angle opposite to side with measure of 9 is greater than 90°.

It means the triangle is <u>obtuse</u>.

Correct choice is B

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the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width
-BARSIC- [3]

Length and width of rectangle is 15 inches and 6 inches respectively

<h3><u>Solution:</u></h3>

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.  

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

<em><u>The formula for area of rectangle is given as:</u></em>

\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle}

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

\begin{array}{l}{90=5 x \times 2 x} \\\\ {=>90=10 x^{2}}\end{array}

On solving the above expression for x we get

\begin{array}{l}{=>\frac{90}{10}=x^{2}} \\\\ {=>x^{2}=9} \\\\ {=>x=\sqrt{9}=3}\end{array}

\begin{array}{l}{\text { Length of rectangle }=5 \times x=5 \times 3=15 \text { inches }} \\\\ {\text { Width of rectangle }=2 \times} x=2 \times} 3=6 \text { inches }}\end{array}

Hence length and width of rectangle is 15 inches and 6 inches.

4 0
3 years ago
If a bag contains 12 apples , 4 bananas , and 8 oranges , what part to whole ratio bananas to all fruit
marysya [2.9K]

Answer:

4 : 24 or 1 : 6

Step-by-step explanation:

There are 4 bananas and 24 fruits so we just make that a ratio of 4 : 24.

We can then simplify that ratio to 1 : 6.

7 0
3 years ago
Read 2 more answers
Find the size of the angle using Sohcahtoa or Pythagoras.
lisov135 [29]

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = \frac{opposite}{hypotenuse} = \frac{5}{8} , then

x = sin^{-1} (\frac{5}{8} ) ≈ 38.7° ( to 1 dec. place )

6 0
2 years ago
I need help n pls explain ​
WARRIOR [948]

Answer:

The correct option is C). When it was purchased, the coin was worth $6

Step-by-step explanation:

Given function is f(t)=6\times2^{t}

Where t is number of years and f(t) is function showing the value of a rare coin.

A figure of f(t) shows that the graph has time t on the x-axis and f(t) on the y-axis.

Also y-intercept at (0,6)

hence, when time t was zero, the value of a rare coin is 6$

f(t)=6\times2^{t}

f(0)=6\times2^{0}

<em>f(0)=6</em>

Thus,

The correct option is C). When it was purchased, the coin was worth $6

6 0
3 years ago
At 3 a.M. The temperature is -5 degrees Fahrenheit between 3 a.M. And 6 a.M. The temperature dropped by 12 degrees Fahrenheit be
LuckyWell [14K]

What I would do is subtract 12 from -5. Then you would have -17. Then you would add 4 and it would be -13. So your answer is:

<h2><em>-13</em></h2>

8 0
3 years ago
Read 2 more answers
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