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2 years ago

5

Yoku Is putting on sunscreen. He uses 2 ml to cover 50 cm? of his skin. He wants to know how many milliliters of sunscreen he ne

eds to cover 325 cm? of the skin.

1 answer:

IrinaVladis [17]2 years ago

3 0

2ml=50cm, so 1ml=25cm

divide 325cm/25cm=13ml of sunscreen

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Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?

Sonbull [250]

Given,

Side = 7 cm

We know that,

Volume of a cube = side³

So, volume of Harry's cube

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= 343 cm³

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2 years ago

Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =

Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

$y = -x+9$ and $y = 0.5x-6$ .

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

$y = -x+9$

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

$y = 0.5x-6$

Put the value of x = a and y = -1;

$(-1) = 0.5(a)-6$

0.5a = 6 - 1

0.5a = 5

$a=\frac{5}{0.5}$

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

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2 years ago

Can someone help me with percents ?

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2 years ago

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Given the figure below, find the values of x and z.

nataly862011 [7]

First, because 13x-85 and 97 are across from each other like that, you know that they are equal to each other. If you solve, you know that x is equal to 14. Then, you know that all the angles must equal 360 degrees. If you add 97 and 97 together, you get 194. Now, subtract that by 360, and you get the remaining degrees of the other two angles. Then, divide that by two, and z equals 83. Hope this helped!

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3 years ago

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Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

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2 years ago