Answer: 15
Step-by-step explanation:
For this you will have to use pythagoras’ theorem.
The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).
17²=289
8²=64
The formula becomes u²=289-64 or u²=225
Then to find u on its own you have to square root 225.
The square root of 225 is 15.
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:
Find common factors between 4 and 120 to simplify, so 4.
Now multiple across to get 90.
Answer:
Step-by-step explanation:
3/4 x 28=21 Madilyn built 21 toys.
1/7 x 28=4 Penelope built 4 toys.
21+4=25 25 toys have been built altogether.
28-25=3
There are 3 toys left to build.
Answer: 44 gallons
Step-by-step explanation:
Using proportion,
33 gallons = 3hours
X = 4hours
Cross multiply
3 × X = 33 × 4
3X = 132
Divide bothside by 3
3x/3 =132/3
X = 44
Therefore the helicopter uses 44gallons for 4 hours.
Answer:
The field will not fit
Step-by-step explanation:
To find the angle, we will use cosine rule;
c² = (a² + b² - 2abcosC)
C in this case is θ
Thus;
15² = (8² + 20² - 2(8 × 20)cos θ)
225 = (64 + 400 - 320cos θ)
464 - 225 = 320cos θ
cos θ = 239/320
θ = cos^(-1) 0.7469
θ = 41.68°
Thus angle is not less than 40° as recommended. Thus, the field will not fit.
