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3 years ago

PLEASE HEEEELPPPP ASAP

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

5 0

Answer:

The solution of the first image is: b = √48

The solution of the second image is: c = √125

Step-by-step explanation:

Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.

For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:

A^2 + B^2 = H^2

Where H is the side that is opposite to the right angle (the angle of 90°)

In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.

We want to find the value of b, that is the other cathetus.

Then we have:

4^2 + b^2 = 8^2

b^2 = 8^2 - 4^2

b^2 = 48

b = √48

Second image:

in this case, c is the hypotenuse, a and b are the cathetus.

We know that:

a = 5, b = 10

Then we have the equation:

a^2 + b^2 = c^2

Now we can replace the above values:

5^2 + 10^2 = c^2

25 + 100 = c^2

125 = c^2

√125 = c

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about 2/5 of Joys cottage property is covered with trees. About 21 km2 are open fields. In Km2, how much of her property is cove

Studentka2010 [4]

Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees

<h3>Ratios and proportions</h3>

Fractions are written as the ratio of two integers

Given the following parameters

total area of open field = 21km^2

If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:

Amount covered in trees = 2/5 * 21

Amount covered in trees = 42/5

Amount covered in trees = 8.4km^2

Hence 8.4km^2 of her property are covered in trees

Learn more on ratio here: brainly.com/question/2328454

#SPJ1

7 0

2 years ago

What is the inequality that represents the graph shown?

icang [17]

Given:

The graph of an inequality.

To find:

The inequality that represents the graph shown.

Solution:

From the given graph it is clear that the boundary line passes through the points (0,-1) and (2,0). So, the equation of boundary line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-1)=\dfrac{0-(-1)}{2-0}(x-0)$

$y+1=\dfrac{1}{2}x$

$y=\dfrac{1}{2}x-1$

The boundary line is a dashed line and the shaded portion is below the boundary line so the sign of inequality must be <.

$y$

Therefore, the required inequality is $y$ .

4 0

3 years ago

Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a

maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

$18.75= 1.25x +3.75y$

Multiply the whole equation by 4 to remove the decimals:

$75= 5x +15y$

Simplify by dividing the whole equation by 5:

$15 = x + 3y$

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

x +3y= 15 -----(2)

x= -3y +15

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0

4 years ago

Read 2 more answers

Simplify -3/4 divided by 2/-8

kozerog [31]

Answer: 3

Step-by-step explanation:

(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3

3 0

4 years ago

A cube has an edge length of 6 cm. It is to be enlarged by a scale factor of 4. What is the surface area ratio of the enlarged c

Andru [333]

The surface area ratio of the enlarged cube to the original cube is 16:1, or as a fraction, 16/1.

If the scale factor is 4, the edge length of the enlarged cube is 24 cm.
(6 × 4 = 24)

To find the surface area of a cube, you can use the formula $SA=6a^2$ , where a is equal to the edge length of the cube.

First, I will solve for the surface area of the original cube.

SA = 6 × 6²
SA = 6 × 36
SA = 216

Next, I will solve for the surface area of the enlarged cube.

SA = 6 × 24²
SA = 6 × 576
SA = 3456

To find the ratio, we divide the original cube's surface area from the enlarged cube's surface area.

3456 ÷ 216 = 16

The surface area ratio of the enlarged cube to the original cube is 16:1, or as a fraction, 16/1.

8 0

4 years ago