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Inga [223]
2 years ago
13

A die is rolled twice.

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0
It is a 10% probability
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3. Choose the correct equation that represents the following situation.
morpeh [17]

Answer:

Here make sure give me a heart and 5 stars

Step-by-step explanation:

6 0
3 years ago
Solve for x in the triangle<br> A 1.7<br> B 2.6<br> C 2.7<br> D 3.0
11Alexandr11 [23.1K]

Answer:

A

Step-by-step explanation:

Given 2 sides and the included angle use the Cosine rule to solve for x

x² = 1.6² + 1.1² - (2 × 1.6 × 1.1 × cos78° )

    = 2.56 + 1.21 - ( 3.52 × cos78° )

   = 3.77 - 0.7318

   = 3.0382

Take the square root of both sides

x = \sqrt{3.0382} = 1.7 → A

3 0
3 years ago
Read 2 more answers
Write an equation for the statement. Then, solve the equation:
Diano4ka-milaya [45]

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

4 0
3 years ago
Find the area the figure is not drawn to scale 6.9 cm 4 cm
Grace [21]
Please check attached file to see if you mean the same triangle. 

Basically, to find the area of a triangle, you are going to use the formula :
 A = b × h        where b is base, h is height.
          2

others also use the formula: <span> Area=1/2(bxh)</span>

Based on the figure, we have 6.9 cm (base) and 4 cm (height) as given.
Let us work out on the area of the said triangle.
A= <u>6.9cm × 4cm</u>
             2

  = <u>27.6cm</u>²<u>
</u>       2
A= 13.8 cm²


Hope this helps!
   

4 0
4 years ago
While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If
Luden [163]

Answer:

The speed driven while returning is 88 mph.

Step-by-step explanation:

We are given that while traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return.

Also, the total distance of the roundtrip was 420 miles.

Let the speed driven while returning be 'x mph' which means that the speed driven while going was '(x - 40) mph' because it has been given that while returning we have increased the speed by 40 mph.

As we know that the Speed-Distance-Time formula is given by;

                         \text {Speed} = \frac{\text{Distance}}{\text{Time}}   or  \text {Time} = \frac{\text{Distance}}{\text{Speed}}

So, according to the question;

\frac{420}{x-40} -\frac{420}{x} = 4 \text{ hours}       where Distance = 420 miles

\frac{420x-420(x-40)}{x(x-40)} = 4

\frac{420x-420x+16800}{x^{2} -40x} = 4

\frac{16800}{x^{2} -40x} = 4

4x^{2} -160x= 16800

4x^{2} -160x- 16800=0

x^{2} -40x- 4200=0

Now finding the roots of the above equation;

Here a = 1, b = -40 and c = -4200

D = b^{2} -4ac

   =  (-40)^{2} -4(1)(-4200) = 18400

Now, the roots of a quadratic equation is given by;

x = \frac{-b\pm \sqrt{D} }{2a}

x = \frac{-(-40)\pm \sqrt{18400} }{2\times 1}

So, the two roots of x are : x = \frac{40-\sqrt{18400} }{2}  and  x = \frac{40+\sqrt{18400} }{2}

Solving these two we get; x = -47.8  and  x = 87.8

Here we ignore the negative value of x, so the speed driven while returning is 87.8 ≈ 88 mph.

8 0
3 years ago
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