The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square =
Where is the side of the square
We then have,
Make 'a' the subject
a =
Simplify the surd
a = ×
a =
a =
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
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Given:
Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.
To find:
The measure of side QR.
Solution:
According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.
We know that, the area of a triangle is
Substituting the given values, we get
Divide both sides by 15.
Therefore, the measure of side QR is 24 cm.
Answer:
40°
Step-by-step explanation:
As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.
Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.
Answer:
1 is a competition, 2 is protection, 5 is division, and 8 is solution.
Step-by-step explanation:
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