Answer:
2.5 ft
Step-by-step explanation:
A rectangular prism's volume is given by it's base area multiplied by it's height:
In this problem, we are given the volume and the base area, so we need to solve for h:
The units are feet, so the answer is 2.5 ft.
Answer:
m = -2
Step-by-step explanation:
To get the slope of the line, we are going to use the 2-points slope equation form
That will be;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-5,11)
(x2,y2) = (8,-15)
m = (-15-11)/(8-(-5)) = -26/13 = -2
The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;
m = (x2-x1)/(y2-y1)
It is an error of switching the numerator for the denominator
The measure of the hypotenuse side is 21.66 units.
In the given figure, the measure of hypotenuse is x, the measure of angle is 37° and the measure of leg is 17.3 units.
<h3>What are trigonometric angles?</h3>
Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Now, cos θ=(Base/Hypotenuse)
cos 37°=17.3/x
⇒ 0.7986=17.3/x
⇒ 0.7986x=17.3
⇒ x=17.3/0.7986
⇒ x=21.66 units
Therefore, the measure of the hypotenuse side is 21.66 units.
Learn more about the trigonometric angles visit:
brainly.com/question/24174128.
#SPJ1
This is a 1:3 ratio of girls to boys so we need to find one part by dividing 236 by 4 giving us 59 and then multiplying by the parts with boys which is 3 so 59*3=177 therefore there are 177boys in the class
Answer:
If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning
Step-by-step explanation:
You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)
edit: Question 4) is similar following the AA statement for triangles
Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are
rectangles!
Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.
Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.
Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor