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Slav-nsk [51]
2 years ago
11

Please I need help step by step

Mathematics
1 answer:
zaharov [31]2 years ago
6 0
To find the surface area, you need to do the following:
A side of the figure is a trapezoid, so you should do 13+5x7 (since there are 2 of the same sides there is no need to divide by two.) and it should equal 126. To find the area of the top of the figure, you need to do 5x2 which equals 10. The area of the bottom of the figure is 26 (13x2), then do 2x3x2 to get the sides on the left and right of the figure. After all of this, add them together. (126+10+26+12=174.)
The surface area should be 174mm.
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Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.
myrzilka [38]

Answer:

y = -2x+4

y = (3/2)x -3

The point of intersection is (2, 0), or x=2 and y=0.

Step-by-step explanation:

The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...

y = slope · x + (y-intercept)

y = -2x + 4

Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...

y = (3/2)x -3

The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.

5 0
3 years ago
The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe
satela [25.4K]

Answer:x=3 and y=15

Step-by-step explanation:

First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":

5x+4y=75 (1)

Then, we are told "he sum of the two numbers is 18":

x+y=18 (2)

At this point we have our system of equations and now we are able to find the values of x and y.

So, let's begin by isolating x from (2):

x=18-y (3)

Substituting (3) in (1):

5(18-y)+4y=75 (4)

Finding y:

90-5y+4y=75

y=15 (5) This is the value of y

Substituting (5) in (1):

5x+4(15)=75 (6)

Finding y:

5x+60=75 (7)

x=3 (8) This is the value of x

4 0
3 years ago
Solve the right triangle shown in the figure BC = 1.6in< A=48.8 C =90
yKpoI14uk [10]
Drawing a diagram to represent the information you've given, the only angle we are missing is B.  We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides.  Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine.  We must use tangent (the ratio for tangent is opposite/adjacent):
\tan 41.2 = \frac{x}{1.6}
Multiply both sides by 1.6:
1.6 \tan 41.2 = x&#10;\\ 3.67 = x
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
(1.6)^2+(3.67)^2=c^2&#10;\\ 2.56+13.4689=c^2&#10;\\ 16.0289=c^2&#10;\\ \sqrt{16.0289} = \sqrt{c^2}&#10;\\ 4=c
The length of side AC, the hypotenuse, is 4 inches.
3 0
3 years ago
Read 2 more answers
You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance
WITCHER [35]



$72.31  is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33;    $39.06
6 0
2 years ago
Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
telo118 [61]

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Learn more on equations here; brainly.com/question/2972832

7 0
2 years ago
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