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anastassius [24]

2 years ago

10

The volume of a sphere is 11, 488 cubic centimeters. What is the diameter of this sphere, to the nearest centimeter? (Volume of

Sphere = 4/3πr^3 ) Use pi = 3.14

1 answer:

Kruka [31]2 years ago

8 0

The sphere is 1000 cubic because of 100

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Work out the size of angle x

Serggg [28]

Answer:

$x=60$

Step-by-step explanation:

Alternate interior angles are formed when a transversal passes through two parallel lines.

7 0

2 years ago

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is <em>(-3, -129)</em>

7 0

3 years ago

Slope: -5, y-intercept:3

Sati [7]

Whats the question?

6 0

2 years ago

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One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of

stira [4]

Answer:

StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction

Step-by-step explanation:

$\frac{1.55}{1} = \frac{x}{3.5} \\ \\ \therefore \: x = 1.55 \times 3.5 \\ \\ \therefore \: x = \$ 5.425 \\ \\\therefore \: x\approx \$5.43$

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2 years ago

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PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?

Korolek [52]

Six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six

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2 years ago