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bogdanovich [222]
3 years ago
14

Show the formula for finding the area of a triangle. Then find the area of a right triangle with a base of 19 cm and a height of

6.5 cm.
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0
The answer is 61.75 because you have to do base times height then divide that answer by two
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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?
harina [27]
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0
3 years ago
how many grams of a 15 percent alcohol solution should be mixed with 40 grams of a 30 percent solution to obtain a solution that
quester [9]
According to my calculations it should be 77
8 0
2 years ago
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

7 0
2 years ago
A book costs $ 67. How much will be paid for 102 such books?​
Ghella [55]

The cost of one book = $ 6 7

Number of books = 1 0 2

The cost of 102 books = $ 67 × 102

= $ 6834

Therefore, cost of 102 books = $ 6834

6 0
1 year ago
Read 2 more answers
Given that k ∥ l, identify the congruent angles in the triangles.<br><br> ∠1≅ <br> ∠2≅ <br> ∠3≅
rewona [7]

Answer:

1.Angle 5

2.Angle 4

3.Angle 6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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