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3 years ago

In the expression “a-10”, what is the 10?

Mathematics

1 answer:

k0ka [10]3 years ago

5 0

Answer:

it means to the power of so a is youre variable and the ten is the power to so you would multiply it 10 times so a^10 is to the tenth power

Step-by-step explanation:

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.If the side of an equilateral triangle is 6cm, then the area of triangle is

Oksi-84 [34.3K]

Answer:

$9\sqrt{3}$ cm^2

Step-by-step explanation:

area of an equilateral triangle = $\frac{s^{2} \sqrt{3} }{4}$ (s = length of the side)

area = $\frac{6^{2}\sqrt{3} }{4}$

area = $\frac{36\sqrt{3} }{4}$

area = $9\sqrt{3}$ cm^2

4 0

2 years ago

Over the last three evenings Lucy received a total of 122 phone calls at the call center. The first evening she received 10 fewe

Zanzabum

Answer:

<em>SOLUTION: Over the last three evenings, Heather received a total of 109 phone calls at the call center. The third evening, she received 4 times as many calls as the second evening</em>

4 0

2 years ago

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago

1. The 4th, 5th, and 6th terms of an arithmetic sequence are 19, 23, and 27 respectively. What is the first

babymother [125]

Answer: 7

Step-by-step explanation: The only pattern in this sequence that I can see is addition by 4. Therefore, the 3rd term is 15, the 2nd is 11, the 1st is 7.

Please consider Brainliest.

8 0

1 year ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try

vagabundo [1.1K]

Using the shell method, the volume is

$\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx$

Each cylindrical shell has radius $2-x$ (the horizontal distance from the axis of revolution to the curve $y=8x^3$ ); has height $8x^3$ (the vertical distance between a point on the $x$ -axis in $0\le x\le1$ and the curve $y=8x^3$ ).

Compute the integral.

$\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}$

6 0

1 year ago