9514 1404 393
Answer:
3) D
4) D
5) B
6) B
Step-by-step explanation:
3) A "Pythagorean triple" is a set of 3 integers that could be the sides of a right triangle. The only triangle shown with integer side lengths is choice D.
__
5) The only triangle for which the square of the hypotenuse is the sum of the squares of the other two sides is choice D.
11² +2² = (5√5)²
121 + 4 = 125
__
6) The lengths of sides of each right triangle are 2/3 of those of choice D in problem 4. That is, they are a 7-24-25 triangle, multiplied by 2. That means the height is 24·2 = 48, and the area is ...
A = 1/2bh
A = 1/2(28 m)(48 m) = 672 m² . . . . matches choice B
__
7) The side lengths of a 30-60-90 triangle have the ratios 1 : √3 : 2. That is, the short leg is half the hypotenuse, a fact stated in A and D. Those true statements make it clear that statement B is false.
Answer: I think its $37.84625 according to the working shown :)
Step-by-step explanation:
cost of paper= $5.79, hence 2 is 2 x 5.79= 11.58
pens= $9.25
paperclips= $2.29
calendar= $12.50
Total= 11.58+9.25+2.29+12.50= 35.62
6.25% sales tax on total purchase= 6.25/100 x 35.62= $2.22625
Adding the sales tax: 35.62+2.22625= $37.84625
If you want a quicker answer on that, use photo math. If you take pictures of all of those individually, youll get your answer. Apologize for not giving an answer to your problem but i figured id let you know because its faster then coming on here and asking.
Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56


x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
Answer:
30=25.50+X
Step-by-step explanation: