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torisob [31]
4 years ago
9

(3n3-4n4)-(6-4n3-7n4) subtract and simpfly

Mathematics
1 answer:
Vesnalui [34]4 years ago
3 0

Answer:

Step-by-step explanation:

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In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of
Gwar [14]
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx  12.67 \ cm
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC}  \\  \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx  0.7804

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°


<span>I hope this helps</span>

7 0
4 years ago
ZARA'S DAD IS 6 TIMES OLDER THAN ZARA. THE PRODUCT THEIR AGE IS 150 YEARS. CALCULATE THEIR RESPECTIVE AGES
Masteriza [31]

Answer:

Zara = 5
Her Dad = 30

Step-by-step explanation:

Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :

z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
                            = 25
So, z = 5
So Zara's age is 5 so her dad's age must be 30

3 0
2 years ago
Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a
Softa [21]

Answer:

a). 4.86\times 10^{-15} m

b). 4.21\times 10^{-2} m³

c). 7.00\times 10^{3} N²

Step-by-step explanation:

In this question we have to convert each option into SI units.

a). 4.86(10^{-6})^{2} mm

= 4.86\times (10^{-12})\times (10^{-3} ) m

= 4.86\times 10^{-15} m

b). (348 mm)³

= (348)^{3}\times (10^{-3})^{3} m³

= 42144192\times 10^{-9} m³

= 4.21\times 10^{-2} m³

c). (83700)^{2}\times (10^{-3})^{2} N²

= 700569\times 10^{4}\times 10^{-6} N²

= 7.00\times 10^{9}\times 10^{-6}N^{2}

= 7.00\times 10^{3} N²

7 0
3 years ago
The answer to this word problem usinf discriminant
solniwko [45]
\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2&#10;\\\\\\&#10;0=-9.8t^2+45t-63.3\\\\&#10;-------------------------------

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}&#10;\\\\\\&#10;0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}&#10;~~~~~~&#10;\stackrel{discriminant}{b^2-4ac}=&#10;\begin{cases}&#10;0&\textit{one solution}\\&#10;positive&\textit{two solutions}\\&#10;negative&\textit{no solution}&#10;\end{cases}&#10;\\\\\\&#10;(45)^2-4(-9.8)(-63.3)\implies -456.36

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.
8 0
3 years ago
What is the Roman number of 233 234 235 and 236​
WINSTONCH [101]

Answer:

232 = CCXXXII

233 = CCXXXIII

234 = CCXXXIV

235 = CCXXXV

236 = CCXXXVI

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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