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3 years ago

An angle measures 150° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

madreJ [45]3 years ago

3 0

Answer:

Step-by-step explanation:

x - an angle

x - 150° - the angle's suplementary angle

Measure of suplementery angles adds to 180°

x + x - 150° = 180°

2x = 180° + 150°

2x = 330°

x = 330°÷2

x = 165°

x-150° = 165° = 150° = 15°

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How can you use multiplication in your everyday life?

Bas_tet [7]

Answer:

On kitchen. Yes. there also we use multiplication. If we are trying to cook something from the recipe website, they tell to add 1 glass of water for 100 gm of rice. But we measure the amount of water based on the quantity of the rice. It’s simple multiplication.

Travelling with your friends. If we are travelling with our friends in a public transport facility like bus or metro, we need to buy multiple tickets. There we need to do multiplication.

Step-by-step explanation:

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3 years ago

A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total co

egoroff_w [7]

Answer:

There is 8 adults and 1 child

Step-by-step explanation:

$78 - $6 = $72

$72 divided by 9 = 8

you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)

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2 years ago

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil

mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

$r(t)=10t-t^2$

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from t = 0 to t = 3.

We can use the Net Change Theorem. So, we will integrate function r from t = 0 to t = 3:

$\displaystyle \int_0^3r(t)\, dt$

Substitute:

$=\displaystyle \int_0^3 10t-t^2\, dt$

Integrate:

$\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3$

Evaluate:

$\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}$

36 milliliters of rain accumulated in the bucket from time t = 0 to t = 3.

4 0

3 years ago

The number 299 is divided into two parts in

Hoochie [10]

I think it might be B I’m so sorry if it’s not

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3 years ago