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2 years ago

Sarah biked 13 miles south from her house to the library. Then she turned and biked 10 miles

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

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3<br> Which expression is closest in value to 5.66?

Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

$\dfrac{\pi}{2} + \pi$

Let consider π = 3.14

$\dfrac{3.14}{2} + 3.14$

$1.57 + 3.14$

$4.71 \: (approx.)$

B) GiveN:

$2\pi - 1$

Here also, let's consider the value be 3.14

$2 \times 3.14 - 1$

$6.28 - 1$

$5.28 \: (approx.)$

C) GiveN:

$4 \sqrt{2}$

Let's consider the value of √2 be 1.414

$4 \times 1.414$

$5.6516 \: (approx.)$

D) GiveN:

$8 - \sqrt{3}$

Let's consider the value of √3 be 1.732

$8 - 1.732$

$6.268 \: (approx.)$

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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6 0

3 years ago

What is the volume (in cubic centimeters) of a cube with 4cm sides?

vova2212 [387]

I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.

8 0

3 years ago

What is the ordered pair for B?

Stolb23 [73]

(-6.5,0)

I hope this helps!

7 0

3 years ago

What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8

Temka [501]

So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

$\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}$

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be $\bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}$

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8 or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k) and then solve for "y", that's the equation of the quadratic

4 0

3 years ago

H(t) = 4t+20 What is h(_____)=4?

kaheart [24]

Answer: h(-4)

Step-by-step explanation:

If h(x) something is equal to 4 then set the equation equal 4 and solve for t.

4t +20 = 4

-20 -20

4t = -16

t = -4

So h(-4) = 4

7 0

3 years ago