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Ierofanga [76]
3 years ago
14

Using the discriminant, fdetermine the number of real solutions. 2x^2+7x-15=0

Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Here's your solution.

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A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the tr
Dominik [7]

Begin by using the cosine rule to find the unknown side.

Where a- unknown side, b is 12, c is 16 and angle in between is 108° 

The cosine rule...

        a² = b² + c² - 2bc cosA

            = 12² + 16² - (2×12×16 cos108°)

            = 518.655076

Taking the positive square root...

         a = 22.774 

         a = 22.8 cm nearest tenth

7 0
3 years ago
RS=2x-8, ST= 11, RT= x+10
swat32

Answer:

X=7 ST=11 RT=17

Step-by-step explanation:

RT=RS+ST. RS= 2(7)-8. ST=11

X+10=2x-8+11. =14-8=6. RT= x+10

X+10=2x+3. RS=6. 7+10=17

10=x+3. RT=17

X=7

4 0
3 years ago
Find the surface area of the composite solid.
kicyunya [14]
Area of the bottom triangle = 1/2 x 10 x 8.7 = 43.5 cm²

Area of the 3 rectangles = 3(10 x 6) = 180 cm²

Area of the top triangle = 3 (1/2 x10 x 4) = 60 cm²

Total surface are = 43.5 + 180 + 60 = 283.5 cm²

Answer: 283.5 cm²
6 0
3 years ago
What is 8.1% of 18.43
IrinaK [193]

9514 1404 393

Answer:

  1.49283

Step-by-step explanation:

8.1% as a decimal is 0.081

The product of that and 18.43 is ...

  0.081 × 18.43 = 1.49283

__

If this is a monetary value, it would round to 1.49.

5 0
3 years ago
Finding area ? <br><br>How did they get a=90 in sq
Burka [1]
<h2>90 sq in</h2>

Step-by-step explanation:

The total area in the figure can be divided into two areas.

The area_{rectangle} is the area of the 8\times 10 rectangle.

The area_{triangle} is the area of the adjacent triangle to the rectangle.

area_{rectangle}=length\times breath=10\times 8=80

area_{triangle}=\frac{1}{2}\times base \times height=\frac{1}{2}\times 4\times 5=10

Total area=area_{rectangle}+area_{triangle}=90

6 0
3 years ago
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