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3 years ago

Round 6584003 to the nearest 100

Mathematics

2 answers:

UNO [17]3 years ago

8 0

6584000 is the answer

love history [14]3 years ago

7 0

6584000 is the answer, i believe.

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If the terminal side of angle 0 in standard position intersects the unit circle at p (3/5,4/5). Find cos0 and sin0

Rina8888 [55]

Answer:

$\sin \theta = \frac{4}{5}$ , $\cos \theta = \frac{3}{5}$

Step-by-step explanation:

Let be $P(x,y) = \left(\frac{3}{5}, \frac{4}{5} \right)$ the end of the terminal side of angle $\theta$ in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:

$\sin \theta = \frac{y}{\sqrt{x^{2} + y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

If we know that $x = \frac{3}{5}$ and $y = \frac{4}{5}$ , then the sine and the cosine of the angle are:

$\sin \theta = \frac{\frac{4}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\sin \theta = \frac{4}{5}$

$\cos \theta = \frac{\frac{3}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\cos \theta = \frac{3}{5}$

3 0

3 years ago

Zora has bag of potting

Xelga [282]

The question is missing the figure which is attached below.

Answer:

The last box that has dimensions 8 in × 8 in × 10 in

Step-by-step explanation:

Given:

Volume of the soil = 924 cubic inches.

There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.

The volume of the box must be at least 924 cubic inches to accommodate all of the soil.

Now, volume of the first box is given as:

$V_1=l\times b\times h=20\times 5\times 10=1000\ in^3>924\ in^3$

Volume of the second box is given as:

$V_2=l\times b\times h=10\times 10\times 10=1000\ in^3>924\ in^3$

Volume of the third box is given as:

$V_3=l\times b\times h=10\times 20\times 6=1200\ in^3>924\ in^3$

Volume of the fourth box is given as:

$V_4=l\times b\times h=8\times 8\times 10=640\ in^3$

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.

6 0

3 years ago

Easiest way to get it

Sergio [31]

The coordinates at the midpoint of any line are the averages of the coordinates at the end-points. So 7 has to be the average of 10 and k .

(1/2) (10 + k) = 7

5 + k/2 = 7

k/2 = 2

3 0

3 years ago

A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?

LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

$y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6$