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3 years ago

Ten less than double a number is the same as seven times the number. Find the number

1 answer:

6 0

Put in equation form, that problem would be 2n - 10 = 7n

Subtract 2n from each side and you get -10 = 5n

Divide both sides by 5 and you get -2 = n

So the answer would be -2 (negative two).

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A hemispherical dome of a building needs to be painted. If the circumference of the base of the

soldier1979 [14.2K]

Answer:

The cost of painting the hemispherical dome is 110880 unit

Step-by-step explanation:

Given as for a hemispherical dome :

The circumference of base = 17.6 m

The cost of painting it = 5 unit per 100 cm²

∵ circumference of base = circumference of circle = 2× $\pi$ ×radius

So ,17.6 m = 2× $\pi$ ×radius

Or, Radius = $\frac{17.6\times 7}{2\times 22}$

Or, Radius = $\frac{123.2}{44}$ = 2.8 m

Or, R = 280 cm

So, Total surface area of hemispherical dome = 3× $\pi$ ×radius²

or, Total surface area of hemispherical dome = 3× $\pi$ ×280²

Or, Total surface area of hemispherical dome = $\frac{3\times 22\times 280\times 280}{7}$

Or, Total surface area of hemispherical dome = $\frac{5174400}{7}$

∴ Total surface area of hemispherical dome = 739200 cm²

Now, The cost of painting 100 cm² is 15 unit

So, The cost of painting 739200 cm² = $\frac{15\times 739200}{100}$

Or, The cost of painting 739200 cm² = 110880 unit

Hence The cost of painting the hemispherical dome is 110880 unit Answer

7 0

3 years ago

Given the equation y= -3x + 2.5 . When x is 8.5 , what value of y makes the equation true?

Len [333]

Answer: 23

Step-by-step explanation: -3(8.5)=25.5. 25.5+2.5=23

8 0

3 years ago

How do you factor 2x^3+5y^3

Pavel [41]

All you do is...
$\mathrm{Apply\:sum\:of\:cubes\:rule:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)$

$2x^3+5y^3=\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right)$
$\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right) \ \textgreater \ Refine$

$\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(2^{\frac{2}{3}}x^2-\sqrt[3]{10}xy+5^{\frac{2}{3}}y^2\right)$

Hope this helps!

4 0

3 years ago

What two numbers add to -26 and multiply to -56

sweet [91]

Answer:

-28 and 2

Step-by-step explanation:

3 0

3 years ago

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Find the value of each variable.<br> PHOTO ABOVE <br> ⚠️TEST⚠️

telo118 [61]

Answer:

Step-by-step explanation:

5 0

3 years ago