Step-by-step explanation:
In the following triangle, a= ? , b= 2cm.
m<B= 105° , m<C = 15° ,m< A =?
Now, we know that sum of the interior angles of the triangle = 180°
m<B+m<C +m< A =180°
105°+15°+m< A=180°
m< A= 180- 120° = 60°





Answer:
(D) The volume of Model A and B combined is 88 cubic centimeters.
Step-by-step explanation:
Volume of Model A
= 6 x 4 x 2
= 48 cm³
Volume of Model B
= 5 x 2 x 4
= 40 cm³
Volume of Model A and B
= 48 + 40
= 88 cm³
Answer:
Cube 1: 3375 cubed inches, 1350 inches squared.
Cube 2: 512 cubed inches, 384 inches squared.
Step-by-step explanation:
Formula for Volume of a Cube:
(s - side length)
Formula for Surface Area of a Cube:
(s- side length)
<h3>For Cube 1:</h3>
The side length's 15 inches.
Find the volume:

The volume of cube one is 3375in³.
Find the surface area:

The surface area of cube 1 is 1350in².
<h3>For Cube 2:</h3>
The side length's 8 inches.
Find the volume:

The volume of cube two is 512in³.
Find the surface area:

The surface area of cube 2 is 384in².
<em>Brainilest Appreciated. </em>
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation,
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):






Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3
A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.
All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.