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MA_775_DIABLO [31]
3 years ago
5

Select the correct answer. What is the simplified form of this expression? 3x + (8x − 16) A. 11x − 16 B. -5x − 16 C. 11x + 16 D.

-5x
Mathematics
2 answers:
AysviL [449]3 years ago
4 0

Answer:

a.11x-16

Step-by-step explanation:

3x+(8x-16)you multiply the signs in the bracket

that is 3x+8x-16

=11x-16

fgiga [73]3 years ago
4 0

Answer: 11x-16

Step-by-step explanation:

We multiplied to find our answer.

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How do you find the area of this
zlopas [31]

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

<em>Please Mark Brainliest if this helped!</em>

5 0
3 years ago
The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of
Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

<em>By using cosine rule</em>

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

<em>By using similarity ratio</em>

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1  

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0
3 years ago
Estimate then find the product of 758×6
Maurinko [17]
700*6=4,200

<em>*4,200 as an estimate.</em>

---------------------------

6*(758)

=6(700+50+8)

=4,200+300+48

=4,200+348

=4,548
5 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line is question is 3x-3y=54? fully reduce your answer. (it’s not 1)
neonofarm [45]

Answer:

-1

Step-by-step explanation:

Has to be the opposite

4 0
3 years ago
Read 2 more answers
How to answer this question??? <br>thanks
vesna_86 [32]
\dfrac{2m}{5}+3=7(4m-3)\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\\dfrac{2m}{5}+3=28m-21\ \ \ \ \ |multiply\ both\ sides\ by\ 5\\\\2m+15=140m-105\ \ \ \ |subtract\ 140m\ from\ both\ sides\\\\-138m+15=-105\ \ \ \ |subtract\ 15\ from\ both\ sides\\\\-138m=-120\ \ \ \ |divide\ both\ sides\ by\ (-138)\\\\m=\dfrac{120:6}{138:6}\\\\\boxed{m=\frac{20}{23}}
7 0
3 years ago
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