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3 years ago

NEED WITHIN 50MIUTES IF NOT ANSWERED IN 50 MINUTES THEN I WILL NOT NEED ANSWER ANYMORE!

Mathematics

1 answer:

Yanka [14]3 years ago

7 0

Answer:

Part A, the tickets sold depends on the temperature

Part B, the monthly payments depends on the age of the person

Part A, tickets are the dependent variable, the temperature is the independent

Part B, the monthly payments are the dependent variable, the age of the person is the independent variable

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There are 26 third graders and 32 fourth graders going

erma4kov [3.2K]

26+32=58
58 divided by 10 is abt 5.something
The rest 8 students also needs to go, so it is 5+1=6 vans.

3 0

3 years ago

In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does

Tresset [83]

This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"

The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.

6 0

3 years ago

The sum of a number and 2 is no more than the product of 9 and the same number

densk [106]

Let number = n

the sum of a number and 2: n + 2
is no more than: ≤
the product of 9 and the same number: 9(n)

n + 2 ≤ 9n is your answer

hope this helps

3 0

3 years ago

The city designers drawing the road map for new housing development hurricane Ln runs through the coordinates (11, 5) and (-1, 1

AnnyKZ [126]

Answer:

-3

Step-by-step explanation:

Use slope formula to find the slope of the first road:

(y2 - y1) / (x2 - x1)

(1 - 5) / (-1 - 11)

-4 / -12

1 / 3

The slope of a line perpendicular to this line would just be the negative reciprocal of the slope:

-3 / 1 or just -3

8 0

2 years ago

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

lina2011 [118]

Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

6 0

2 years ago