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grigory [225]
3 years ago
11

What is the area of a triangle 7.8cm height and 12.8 cm with

Mathematics
1 answer:
elena55 [62]3 years ago
4 0
First: Multiply the measurements.
• 7.8 x 12.8 = 99.84
Second: Divide by 2.
• 99.84/2 = 49.92
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What is the value of c in the equation y = 4x^2 -10x + c if the y-coordinate of the vertex is -7
love history [14]

Answer: c=-\frac{3}{4}

Step-by-step explanation:

Find the x-coordinate of the vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=4\\b=-10

Substituting values, we get:

x=\frac{-(-10)}{2(4)}=\frac{5}{4}

Now we can substitute the coordinates of the vertex into the equation y = 4x^2 -10x + c and then solve for "c".

Then:

-7 = 4(\frac{5}{4})^2 -10(\frac{5}{4}) + c\\\\-7+\frac{25}{4}=c\\\\c=-\frac{3}{4}

6 0
3 years ago
The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh
Lyrx [107]
Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

\frac{Actual\text{ height of the friend}}{\text{Length of the friend's shadow}}=\text{ }\frac{Height\text{ of the building}}{\text{Length of the building's shadow}}\begin{gathered} \frac{75}{33}=\text{ }\frac{1250}{\text{Length of the building's shadow}} \\ 2.27\text{ =  }\frac{1250}{\text{Length of the building's shadow}} \\ \text{Length of the building's shadow = }\frac{1250}{2.27} \\ \text{Length of the building's shadow = }550.66\text{ f}et \end{gathered}

6 0
1 year ago
Solve for the area using heron´s formula
Vadim26 [7]

9514 1404 393

Answer:

  252.8 cm²

Step-by-step explanation:

The missing side of the right triangle can be found from the Pythagorean theorem:

  s² = 20² -16² = 400 -256 = 144

  s = 12 . . . . cm

The area of a right triangle is more easily found using the traditional area formula:

  A = 1/2bh

  A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)

The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...

  s = (16 +20 +23)/2 = 29.5

The area is ...

  A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)

  A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)

Then the total area of the figure is ...

  A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area

4 0
3 years ago
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.000025 in scientific notation
storchak [24]

Answer:

2.5 \times 10^{-5}

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What’s 6 x 67,799,000
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Answer:

406794000

Step-by-step explanation:

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