Solving for the lateral surface of the square pyramid, we need to use the formula shown below:
Lateral Area = a √ (a² + 4h²) where "a" for the base edge and "h" for the height
We have given values such as:
Base = 12 inches
Height = 15 inches
Lateral area = 12 √ (12² + 4*15)
Lateral area = 171.39 inches²
The answer is 171.39 inches².
Answer:
32 meters long (please double-check! sometimes ppl make mistakes)
Step-by-step explanation:
the ratio of height to shadow length is 15:8, as established in the first sentence. if both sides of the ratio are multiplied by 4 then the ratio becomes 60:32.
more in depth:
if you think of it as fractions (which ratios can be written as) multiplying both the numerator and denominator by four is the equivalent of multiplying by 4/4 aka 1 so the value still stays the same (one times something is the same thing). since the ratio of height to shadow length is constant we needed to solve for the ratio in which the height is 60, so multiply each side by 4 (aka 60 divided by 15) to find the new ratio, 15(4):8(4) or 60:32. the ratio 60:32 describes height to shadow, so while the height is 60 (said in the problem) then the shadow length is 32. adding units, the answer would be 32 meters.
4. Nicole sold 6 magazines for every 5 magazines Lauren sold
so ration magazines sold between Nicole to Lauren" 6:5
6 + 5 = 11
total 165 so 165/11 = 15
15 * 6 = 90
15 * 5 = 75
answer: Nicole sold 90
5.
a. 7:15 and 28:50
No, an equivalent ratio would be 7:15 and 28:60
6. new ratio of Honors to regular is 7:4.
If 77 in Honors then i would be 44 in regular
7* 11 = 77
4*11 = 44
7.
150 binders total
48 are red
150 - 48 = 102 are not red
ratio of red to not red
48:102 = 8:17
ratio not red to total
102:150 = 17:25
8.
6 girls in swimming club, 5 girls in art club, so ratio= 6:5
If 75 girls in art club, how many in swim club?
75/5 = 15
so 6*15 = 90
answer: there will be 90 girls in swim club
a. ratio blue to green chairs 7:8, if 252 blue, how many green
252/7 = 36
so 36 * 8 = 288 green chairs
answer: if 252 blue, will be 288 green chairs
Answer:
(- 4, - 2 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(- 2, 4 ) → (- 4, - 2 )
Now, for a rhombus, all sides are the same length, and the diagonals bisect the vertex they cut, so they cut them in halves, and they also meet at right-angles, and cut each other in halves as well
that means, if the angle is 108, the shorter diagonal will cut that in two equal angles, of 54 each, check the picture below
and since they each other cut in halves where they meet, one side of the shorter diagonal will then be half of 9, or 9/2 or 4.5
since the angle is in degrees, make sure your calculator is in Degree mode
